diff --git "a/data/dm_maths/full_data_1/2062_11255.jsonl" "b/data/dm_maths/full_data_1/2062_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2062_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(g) be the first derivative of -2 + 0*g - 7\/2*g**2. Let p(s) = -s**2. Calculate p(z(x)).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3947, -8931, -13915?\n\"Answer: -4984*v + 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - (-3 + (-76)\/(-28)). Suppose 5*j - 20 = -5*f, 5*f = 5*j - j + 56. Solve h = 2*i + 2*i + f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03785735 rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933399?\nAnswer: 3, 37, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/12 - (-11)\/(-22) - 3. Which is the second smallest value? (a) o (b) 1\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 927, 1847, 2767, 3687?\nAnswer: 4607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s. Let g(b) be the third derivative of 0 + 0*b**3 - 4*b**2 + 0*b - 1\/12*b**4. What is g(q(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2587569, -2587601, -2587647, -2587707, -2587781, -2587869?\nAnswer: -2587971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 + 112?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 561.\nAnswer: 30294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*f - 48, 4*f = -15*n + 20*n + 32. Solve -36*a + 33*a = 4*j + 15, -4*a = -4*j - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*k - 15*h + 7*h + 3*h, 0 = 4*h + 120 - 104 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19538132, 19538132, 19538134, 19538138, 19538144, 19538152, 19538162?\nAnswer: 19538174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 825663882 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {w: 18, q: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 2. Let t be p(6). Suppose -3*u + t = -11. Suppose 2*g = -3*z + 8, -5*g + 5*z + 15 = -u. Is g > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 9. Let c be m(-3). Suppose 0 = -5*a - 0*j + 3*j + 6, -a + 2*j = c. Let f(t) = 20*t + 1. What is the units digit of f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -4*1\/(-4). Let f(w) = -w**3 - w**3 + 3*w**2 - 1 + 2*w - 4*w. Let d(l) = -3*l**3 + 6*l**2 - 4*l - 1. Let t(g) = o*d(g) - 5*f(g). What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 532 = -3*t, 7*t - r - 168 = 6*t. Calculate the highest common factor of 43 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 9*t - 9. Let f be j(7). Suppose -f*q + 5*m = 2*m - 10, 5*m - 30 = -q. Which is the second smallest value? (a) 37 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-10 - 112\/(-24))\/(2\/(-3)) and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/6*561\/(-935).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 13*o**2 + 167*o - 961. Calculate r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2 - 7. Suppose -2*n + x - 1 = 0. What is the smallest common multiple of 9 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 + 2667*i\/4 + 1445139\/2.\nAnswer: -3*(i - 1522)*(i + 633)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5480.30826 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxzrjzrxzj. What is prob of picking 1 x and 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-2))\/((-1)\/2). Suppose 25 = 2*t + 3*j, i*t + j = -4*j + 50. Suppose -4*k = 5*b + 41, 0 = 2*k + t + 3. What is the closest to -1 in 0.5, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let g(y) be the second derivative of y - 1\/2*y**2 + 0 + 2\/3*y**3. Determine g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 less than 0.202497616?\nAnswer: 31.202497616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 120 = 165. Suppose k - q = -3*v, 12 - 22 = -2*v - 5*k. Solve 22 = v*f + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0515 or 0.49?\nAnswer: 0.0515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 277011 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/2))\/f)**(24\/13)\/(f*f\/(f*f*(f*f*f**(-2\/3))\/f*f*f)*f**(2\/11))*(f\/(f**(-5)\/f)*(f**5*f)\/f)**(5\/2) assuming f is positive.\nAnswer: f**(14189\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(304) + 0)**2 + 0 + 1.\nAnswer: -1519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8423106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/12*12\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*d - 323 = -73 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/6, -4, 13, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.131 and 0.4?\nAnswer: 2.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506622495871*s + 506622495871*s - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from ksdvkxkssyydvs?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1916 + 1948. Let y be -5*(2 - 154\/5). Calculate the greatest common factor of y and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 49?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 80420*d - 3057404.\nAnswer: (d - 38)*(d + 80458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 12?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233911.\nAnswer: 233911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/3)*l*l**(3\/7)*l)\/(l**(-5)\/(l**(-1\/8)*l))*(l*l**0)**(-12\/5)*((l*l**(-2\/7))\/l)\/(l\/l**6) assuming l is positive.\nAnswer: l**(9199\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2536*o + 8228*o + 199220 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 557*z**6 - 27704*z**5 + 47062252*z**2 wrt z.\nAnswer: 66840*z**3 - 1662240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5530111 - -1?\nAnswer: 5530112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105 + 98 + 50)*((2 + 0 + 0)*(-2 - 1 + 1) - 2 + 2 - 1)*(287 - 287 + 8*q) as h*q + k and give h.\nAnswer: -1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 76. Let w = -2130 - -2146. Give i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1650, -1709, -1868, -2175, -2678, -3425, -4464, -5843?\nAnswer: -7610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfx when three letters picked without replacement from xxxf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 8*n**2 + 67.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42073 minus 0.0285379?\nAnswer: 42072.9714621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(147\/(-385) - (-64)\/352)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 31 = -3*o, 0*c + 2*c - o - 17 = 0. Calculate the lowest common multiple of 10 and c\/1 - 1\/1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:02 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 33398656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - r = -15, 4*n = 3*r + 16 + 9. Suppose 5*l = 4*t + 40, 3*l - l + 3*t = -n. Calculate the highest common divisor of l and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2 - 709824*v + 62981263872 = 0 for v.\nAnswer: 177456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/3))**(-10\/7)\/(d\/d**(-2))**(3\/10))**(2\/155) assuming d is positive.\nAnswer: d**(-689\/16275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -30\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j - 502 - 13876 = 0. Let k = j + 569. What is the greatest common factor of k and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2 - (1 + 0). Let h(y) be the third derivative of 91*y**4\/24 - 3*y**2. Is h(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111658034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**9)\/(i**4\/i) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(8\/9)*w)\/w**(3\/2))**(-7) assuming w is positive.\nAnswer: w**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-548*l**2 + 548*l**2 + 43*l**3)*(-l - 3 + 0*l + 0).\nAnswer: -43*l**4 - 129*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (69\/9)\/(6\/18). Let c = 18 - b. Let z(i) = 8*i - 8. Let a(x) = 2*x + 7 - 4*x - 5*x. Give c*z(s) - 6*a(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/242 + 511\/2178. What is the fourth biggest value in -0.1, 3\/5, -85.5, w?\nAnswer: -85.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4*d = 4, -2331 = -12*s + 3*d - 2334 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 9*i + 9. Is v(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -2086\nAnswer: -69\/2086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q - 20*q + 6*q + 2*q + 127*q**2 + 3*q to b*q**2 + f + z*q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 881.2 - 2.\nAnswer: 879.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129806940, 259613881, 389420822, 519227763, 649034704, 778841645?\nAnswer: 908648586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 37557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2583*j + 319139 = -809*j + 2887*j + 25496 for j.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 537 + -529. Solve -9*k + 11*k = l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.0082mm in micrometers?\nAnswer: 292008.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/(-36) - (-2)\/(-9). Suppose d*x = -3*x + 35. Let r = -2 + x. Sort r, 0, 5\/6.\nAnswer: 0, 5\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70494417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39149, 55483, 71819, 88157, 104497, 120839, 137183?\nAnswer: 153529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -640.03 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1495 and 1069339.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b4b1 + 10?\nAnswer: -1b4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (-2 - -12) + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30628134 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 38*o + 98. What is a(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 331*d**2 + 80*d + 83320. Give z(332).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1680 and 15330?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1891*a + 9257 = -19*a - 26279 - 5648 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h**2. Suppose -5 - 24 = -2*q - 5*u, 0 = -4*u + 20. Let s(l) = 8*l - 7*l - q*l. Give s(m(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -102 - (107 + -129).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -401*m + 8812. Let t(x) = 2*x. Determine i(t(r)).\nAnswer: -802*r + 8812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/34 + 264\/68. Suppose g*x = x + p + 95, 4*p = -2*x + 54. Calculate the remainder when (-13 + 2)*(-12 + 1) is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212 - -10254?\nAnswer: 10510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34991 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -577053*l**6 - 1086210*l**2 wrt l.\nAnswer: -69246360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000754634 rounded to 7 decimal places?\nAnswer: 0.0000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/10)\/((-3)\/45). Let h = w - -128. Suppose 2*m + h = 6*m + 4*a, m - a - 27 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v + 2. Let f(b) = -53*b + 24. Give f(w) - 6*u(w).\nAnswer: -89*w + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) 1.3 (b) 104 (c) -2\/25 (d) 2\/27 (e) 1 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2956)\/(-20) - (-2)\/20*2. What is the greatest common divisor of l and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 4*z**2 + 4*z. Give r(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 309?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 89a451 (base 13) to base 6\nAnswer: 153354441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3, 2\/13, -2, 2\/3, 5, 1\/6 in ascending order.\nAnswer: -28, -3, -2, 2\/13, 1\/6, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26*((-3)\/(-6) + -3). Is (6\/15)\/(1\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - n + 1305 = 3*n, -n = d - 261. List the prime factors of d.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y\/y**1*y))\/(y*y\/(y**1\/y)))\/(y**0)**(-11))\/(y**3*y*y**1*(y\/(y\/y**0))**22) assuming y is positive.\nAnswer: y**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 21 = 2*f - 71, 2*f = -y + 17. Let u = -8 + y. Solve 3*s + 15 = t + 2*t, -u*s - 15 = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21104 + 36806. List the prime factors of v.\nAnswer: 2, 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -1. Let l = -2 - y. Suppose l*d + 76 = -289. What is d rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d + 5*a - 15 = 0, 5*a = -3*d + 15. Suppose 4*m - 9 = -2*z + 7, d = 2*z + 5*m - 18. Solve 4*y - y - w + 14 = 0, 11 = -3*y + z*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.1, 5, -6\/67 in descending order.\nAnswer: 5, 0.4, 0.1, -6\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 13. Suppose -q*n + 3*w + 26 = -n, -4*w - 58 = -5*n. Solve -3*t = 4*m - n, m - 3*t = -4*m + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(1\/2). Let j = 3.28 - 0.81. Let u = j - 2.87. What is the nearest to r in 1, u, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -5108.\nAnswer: 39\/5108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 59 + 1. Let k = 10 + -2. What is the smallest common multiple of r and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3, a: 4, j: 4, p: 1, i: 7}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-8)\/(-12))\/(816\/306)*-2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 17\/53, 0.5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 361 + 314 = -24*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -63, -153, -279, -441, -639, -873?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -243608 + -0.1?\nAnswer: -243608.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - 26. What is the units digit of n\/(-9) - (-4)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 1. Let k be f(-1). Suppose 8*u - 10 - k = 0. Let -y**u - 1\/3 - y - 1\/3*y**3 = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 2 - (-69 + (16 - -49)) - -16.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 1 - b + 10*b**4 + 9*b - 9*b**4 + 2 - 3*b**3 to r + c*b**3 + g*b**2 + d*b + p*b**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsekhkl. What is prob of sequence sk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 5. Suppose 3*h + 35 = w*m, -18 = h + h + 2*m. What is the tens digit of 39\/(-12)*(h - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w\/(w**(4\/5)\/w))\/w)\/w*w**1)**(6\/17) assuming w is positive.\nAnswer: w**(66\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:48 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s + 0*s - 7 + 1 + 0*s**2 - s**2. Let j be c(4). Is j greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*b - 136565 = 1726*b + 85*b for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13247753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 190857687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 4*w**2 - 8*w**2 + (4 + 0 - 2)*(-5*w + 5*w + 5*w)*(w - 3*w + 0*w) as h*w**2 + v*w + z and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -236, -420, -608, -806, -1020, -1256, -1520, -1818?\n\"Answer: -l**3 + 4*l**2 - 189*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2464, -4624, -6784, -8944, -11104, -13264?\n\"Answer: -2160*m - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/27713 or 1?\nAnswer: -3\/27713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 6*m + 8*m - 432. Suppose 18 - 2 = 4*h. What is the remainder when m is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, -64687, -1 in ascending order.\nAnswer: -64687, -28, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-5))\/(-4*5\/(-50)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(320) + 4 + 1)*-3*3.\nAnswer: -72*sqrt(5) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:26 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalyyayy. Give prob of sequence ya.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 2*g. Suppose -6*x + x + 40 = -5*k, 5*x - 2*k - 49 = g. What is the remainder when x is divided by (-2)\/((2\/3)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l - 2. Let o be b(-3). Let a be o\/(-161) - (-228)\/(-506). Let n = 2 + -2. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**2 - 7*z - 5. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -0.058 in decreasing order.\nAnswer: 3, -0.058, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3111568 and 1469?\nAnswer: 40450384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*y**3 - 5 - 23*y**3 - 62*y**3.\nAnswer: 52*y**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y + 104. What is the remainder when 80 is divided by m(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 1\/4 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3971 or 3970?\nAnswer: 3970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**3\/6 + 4*h**2 - 3*h. Let y be s(7). Let o be (-6)\/2 - y\/(-2). Which is the biggest value? (a) o (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**2*h**4 + 153*f**2*h**3 + f**2 + 5*f*h**2 + 21*f*h wrt h.\nAnswer: -120*f**2*h + 918*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208454411, -208454411, -208454409, -208454405, -208454399, -208454391?\nAnswer: -208454381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19 + -25 + 8 + 1. Let j(p) be the first derivative of -4 + 0*p - 1\/4*p**o + 0*p**2. Suppose j(d) = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5 + f + 3 + 2. Let x(j) = 7*j. Determine c(x(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31106*q**2 + 93102*q**2 - 31043*q**2 - 31224*q**2.\nAnswer: -271*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.02643 * -5632\nAnswer: -148.85376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 25*h**3 - 5*h**2 - 105*h + 90.\nAnswer: -5*(h - 3)**2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*d - 74 + 49 + 17)*(-6*d + 6*d - 6*d**2) to q + l*d + c*d**2 + s*d**3 and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 18*j - 25. Determine s(8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19130160 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 23 = -3*u - 21, 4*u = -4*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 943311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5\/5 - 32*p**4\/5 - 96*p**3\/5 + 152*p**2\/5 + 92*p\/5 - 24 = 0. Calculate p.\nAnswer: -3, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274) + (sqrt(1274) - -1*sqrt(1274))*5)\/((sqrt(20) + sqrt(20) + sqrt(200)\/sqrt(160) + sqrt(20))\/sqrt(10))*-5.\nAnswer: -1540*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6380 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20912 + -20910. Solve r*l - 308 + 292 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 120 = 2*j, -l + 5*l = 2*j + 486. Let a = l - 17. Let r = -24 + a. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-24) - (-154)\/(-152). Let y = -449\/190 - m. Calculate the common denominator of 7*3\/(24\/7) and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -467549\/50 - -9351. Let t(m) be the second derivative of 0*m**2 + 0 - 1\/30*m**4 + 1\/75*m**6 - 23*m + 0*m**3 + 1\/105*m**7 - h*m**5. Factor t(v).\nAnswer: 2*v**2*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*m**5 - 37*m**5 + 22*m**5)*(0 - 4 - 2)*(0 - 3 + 5).\nAnswer: 1464*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*508.\nAnswer: 8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v + 59. Let p be ((17 - 31)\/(4 - 0))\/((-22)\/44). What is f(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10293.049716 + 28119.\nAnswer: 38412.049716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 - 13983*n**3 - 622*n - 5?\nAnswer: -24*n**2 - 83898*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-620)\/(-1550)*10\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + y - 30 = 0, 40 = p - 0*p + 3*y. Let w = 6 + -2. Suppose 3*g - 7 = -o, -7 = w*o + 5*g - 35. Solve 0 = -o*t + 2*t - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 361278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1265, -1219, -1141, -1031, -889?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*k, 0 = 3*w + 2*k - 196. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhhhhphhhp?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -193*c + 7558. Determine b(38).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 12) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*z - 51209, 11748 + 26661 = 3*i + 3*z. What is i rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 3*t**2 - 2*t + 2. Let i be d(-2). Solve m + i*m = -12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + f + 4, 2*v + 8*f - 3*f - 12 = 0. Let p(k) = k**3 + 5*k**2 + 2*k - 5. Determine p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 41*z - 21. Let v(r) = 4*r - 2. Determine -2*h(c) + 14*v(c).\nAnswer: -26*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 727, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*r + 4*r. Let i = 10 + r. Solve -5*n + 4*q + i = 0, -5*n + 20 + 5 = -q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -44*q + 480. Let u be f(18). Which is greater: -2185\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9705642 to the nearest integer?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 528679 - -83.395448.\nAnswer: 528762.395448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 - 18*b**2 + 15*b + 1. Let g be q(8). Suppose x + 4 = -x. Put 4, x, g in descending order.\nAnswer: 4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 7*q**2 - 8*q - 8. Let t be h(-6). Suppose 0*l - t*l + 28 = 0. What is the first derivative of -3 - l*c**3 + 5 + 5 wrt c?\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6568915 micrograms in grams?\nAnswer: 0.0000006568915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 1. Suppose 0 = -5*r - 2*n + 131, r - 6*r + 125 = 5*n. Suppose 2*z - 19 = -3*s, 4*s + z - r = -5. What is y(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((8 - 29) + 6)*1\/242 and 75\/4.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 2 (b) 2028\/413 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.373 - -0.033. Let n = v + 0.34. Which is the nearest to 0? (a) -2\/5 (b) 1.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.855291 - -6496.\nAnswer: 6458.144709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 4:41 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 3:08 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 18*v + 10. Let r be b(-5). What is the nearest to 0.4 in 5, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15331878.9 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-25))\/(2*4\/(-8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720 is divided by 906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -0.2218753?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 3 - 9 + 7.\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) 2\/11 (d) 15156886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7683 + -7683.000003081. Round d to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 1543 + 283 = 0. Let a = 110 + p. Is a less than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*m + 2742, -4*x - 2751 = -2*m - m. Let c = 1805 - m. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2023808 take away 26467772?\nAnswer: -28491580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-160)\/(-76)) + (-4)\/(-38).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**2\/2 - 1. Let g(v) = -241*v - 3 + 233*v + 3. Let q(w) = 21*w. Let p(h) = 5*g(h) + 2*q(h). Calculate z(p(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*u - 9 - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:41 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152918 to the power of 1\/2, to the nearest integer?\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least as big as -2760141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 2*x**3\/3 - 6*x**2 - 2*x. Let s be b(6). Solve 3*k + s = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 2*g**2 + 2*g + 1. Let m be y(-1). Let b be (-1*(-2 - 1) - 3)\/2. Suppose b*h - 2*h + 662 = m. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 0 - 3 - 6 + 2. Suppose 8*n = 12*n. Determine i(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 471 - 467. Suppose 0 = f*r - 7*i + 5*i - 6, -i + 9 = 4*r. Solve 3*s = r*k - 1, 10 = 5*k + s - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 10*q + 7*q - 17)*(-3*q + 2*q + 8*q).\nAnswer: -21*q**2 - 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1634*a**2 + 5*a - 1635*a**2 - 16*a**3 - 4*a**3 as k*a + j*a**2 + q*a**3 + p and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23763 and 0.5.\nAnswer: -11881.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -712\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92.19699l?\nAnswer: 92196.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4524, -18204, -41014, -72954?\n\"Answer: -4565*u**2 + 15*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 192 + 1440 = 0. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1159*f - 54423 - 24389 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(170) + -1*sqrt(170) + sqrt(170) - sqrt(170)) + sqrt(170))*2)\/(sqrt(10) + sqrt(1000)*-2 + sqrt(10)).\nAnswer: -sqrt(17)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 23*b + 2*b**4 - 23*b**3 + 33300*b**2 - 33309*b**2 + 25*b**3 to a + k*b**3 + s*b**2 + d*b + g*b**4 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -8. Let k = -196 - -199. Put 2\/3, o, k in ascending order.\nAnswer: 2\/3, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {x: 8, f: 9, l: 2}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + 3 + 58 + 65?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 29 = f. Suppose -a + 5*k - 29 = -0*a, -2*a - f = -3*k. Is (-298)\/(-8) + 1\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012002210 + -201221?\nAnswer: 2011100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 3*q**2 + 0*q**2)*(2*q + 2 - 2) + 2731*q**3 + 2101*q - 2101*q.\nAnswer: 2727*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + (8*(-6)\/(-32))\/12\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - -24.86. Let b = 24.99773 - i. What is b rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2390\/(-13) + (-26)\/169. Does 16 divide k\/(-12) - 6\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5 = 56*u, 32*s - 62*s + 26*s + 4*u + 72 = 0 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -4*s + 2*p + p, 4*s + 3*p - 279 = 0. Let r be (-36)\/s - 188\/(-22). Let h(c) = 17*c + 14. Let f(k) = -11*k - 9. Give r*f(u) + 5*h(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -51. Solve m + 3 - i = 0, -24 = -4*f - 4*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {d: 3, t: 1, u: 1, x: 5, w: 1, i: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. Suppose 8*o - 3*o = -3*n + 177, 2*o = -q*n + 67. Let t = 2650 - 2646. Calculate the highest common divisor of o and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 81. Let d be (25\/(-10) + 4)*n. Sort -2, 5, d, 1 in decreasing order.\nAnswer: 5, 1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*i + 39118, 2097 + 10935 = n + 5*i. Suppose 0 = 4*z + 5*a - 26084, -5*z + a + n = -3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v**2 + 3*v + 9. Let p(h) = -11*h**2 + 3*h + 8. Suppose r = -3*c - 7, c = -2*r - c - 2. Let s(w) = r*g(w) - 3*p(w). Factor s(q).\nAnswer: 3*(q - 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:16 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/(21744\/11325)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -36)*(4 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1170 and 702?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p - 7*p - 6*p)*(6*p**3 - 5*p**3 - 4*p**3) - 2*p + 3*p**4 + p - 5*p**4 to the form m*p**3 + b*p**2 + z*p**4 + o*p + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2.7. Let u = q - -0.3. Let w = -0.025 - 4.975. What is the nearest to u in 0.1, w, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 631007771 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3277, 3279, 3279, 3277, 3273?\n\"Answer: -x**2 + 5*x + 3273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 23 = -3*j + 2*b, 2*j - 3*b = 22. Let m be (-6)\/(-24) - (-31)\/4. Let w = m - j. Solve 0 = -w*g + 4*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x = 26*x - 2*r - 4, -4*x = 5*r + 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37255 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225*(-248)\/(-892800) + (222\/(-32))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = -3*n + 25, -8 = 3*n - 4*g. Solve -25 = h - n*h - 5*v, -10 = -5*h - 2*v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3414 * -0.307\nAnswer: -0.1048098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277318871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -144\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, l: 14}. What is prob of sequence ll?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n + 9. Let o be f(-21). Let l = o + 165. Solve 2*r + 12 = l*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s*y**3 + 53718*s*y**2 - 6*s*y - 752343*s - 2*y**3 - y**2 wrt y?\nAnswer: -18*s*y + 107436*s - 12*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(2\/13)\/p)\/(p**(-2\/79)\/p*p))**(2\/41))**17)**(-1\/59) assuming p is positive.\nAnswer: p**(28662\/2484313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**3 - x**2 + x. Let m be z(1). Suppose m*r = r - r. Suppose -u - 3*n + 113 = r, 3*u + 14 = -5*n + 349. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 280\/31?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -13315 bigger than -13313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 760917313 to the nearest integer?\nAnswer: 27585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxhgwwggxggwgggg. Give prob of picking 1 h and 2 w.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(0 - 1 - 0). What is the third smallest value in 5, b, -1\/3, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 167, 251, 333, 413, 491, 567?\n\"Answer: -x**2 + 89*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.543531 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 0.14902?\nAnswer: -0.0163922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m + (0 + 0 + 1)*(4 - 2*m - 4) + m - 3 + 3 + (-2 + 0 + 0)*(2*m - 2*m + 2*m) + m + m - 3*m + m + 2*m - 2*m)*(-2 + 46 + 8*m + 91).\nAnswer: -48*m**2 - 810*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 1, g: 4, e: 2, k: 2, y: 6}. Give prob of picking 2 y and 2 p.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 361 - 271. Suppose 4*g + 5*v = 29 + 13, 0 = g - 4*v. Suppose 0 = -x - 4*y + 2 - g, 5*y + 40 = 2*x. What is the highest common divisor of x and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 3*k**2 - 5*k - 3. Let r(u) = -u + 1. Let y(d) = -5*r(d) - z(d). Let j(c) = -c + 2*c + 4*c + 2452 - 2452. Determine j(y(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16)\/(r*r*((r**(-14\/9)\/r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(-130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -5*z, 2*n + 80 = -2*n + 4924*z - 4928*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 - 151. Calculate the greatest common divisor of 138 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 59*h**2 + 56*h + 134. Determine q(58).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3\/7))**(7\/2)\/(u*u*u**(-4\/13)\/u*(u**20\/u)\/u) assuming u is positive.\nAnswer: u**(-217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n - 2*o + 13, 5*o = 5*n - 5. Suppose -v + n*i - 10*i + 99 = 0, v = i + 105. What is the remainder when v is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14.12 in 5, 1, -11, -0.04, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 28 + 18 = 0. What are the prime factors of 4*(42*2 + y)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/8645 + 1333\/8645. Which is the second biggest value? (a) 84\/19 (b) j (c) 3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -380 + 5\/2*l**3 - 70*l**2 + 895\/2*l.\nAnswer: 5*(l - 19)*(l - 8)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 510\/14 + 54\/(-126)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -8264*n - 198345. Calculate t(-24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i**2 - 2. Let d(s) be the third derivative of s**5\/60 - 5*s**2. What is c(d(h))?\nAnswer: 15*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/((-574980)\/(-999)))\/((-9)\/(-12)).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72.47039*-0.4\nAnswer: 28.988156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.135563 and -12?\nAnswer: 1.626756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 4027*l**3\/6 + 4175*l**2\/2 + 112*l + 5. What is the derivative of t(j) wrt j?\nAnswer: 4027","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -245321 - 2?\nAnswer: -245323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**13\/t**(1\/4)*((t\/t**3)\/t)\/(t*t*(t*t\/t**(-3\/7))\/t) assuming t is positive.\nAnswer: t**(177\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7970.547 micrometers to meters.\nAnswer: 0.007970547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10223\/39 - 1597\/6. Calculate the common denominator of (-12075)\/4410 - 8\/6 and s.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 280*n - 293*n + 11 + 31 + n**2. Let d be x(6). Solve d = -0*i + 3*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836 less than -97401?\nAnswer: -101237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, -3, 3, 193, -6, 5 in decreasing order.\nAnswer: 193, 5, 3, -2, -3, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1431, 2\/43?\nAnswer: -1431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/45*-3*(-2)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:44 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47.345. Round f to 2 dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 + 729\/15. Suppose -4*k - t = -q, 1 = 2*q + 5*k - 32. Solve 3*l = -2*l + s + 15, -q = -2*l + 5*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 - 282*f + 2623. Calculate a(44).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2574 and 11310.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-4) - (-35 + 84378\/1428)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324 - -4?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52851007661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 33, 4, -11, -4, 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose -m = -0*m - a. Suppose 0 = -m*u - 12 + 104. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, 136, -2.\nAnswer: -5, -2, 0, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 + -0.206.\nAnswer: -0.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 4:16 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 2. Let y(n) = -2*n + 2. Let g(m) = m - 1. Let s(t) = -8*g(t) - 5*y(t). Let v(p) = -6*r(p) + 7*s(p). Determine v(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1469632606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146*n**2 + 7636*n - 1270*n**2 - 1189*n**2 - 931*n**2 wrt n.\nAnswer: -6488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a**3 + 9108*a - 9108*a.\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20717642?\nAnswer: 2, 11, 659, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 919616695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + ((-12)\/(-3))\/(-4). Let z(a) = p - 6 - 6 + 1 - 6*a. What is the tens digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -222*l - 3. List the prime factors of k(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2532577, 2532574, 2532571, 2532568?\nAnswer: 2532565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -6 + 11 + -8. Is -5\/3 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -124777, -249548, -374315, -499078, -623837?\n\"Answer: 2*z**2 - 124777*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.23 - -0.07. Let w = -409.3 - -409. Which is the nearest to 0? (a) w (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + (7 - 21 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s + 1. Let w(z) = 4 - 9 + 16*z + 5*z**2 + z**2 + 0*z**2. Let r(i) = 5*p(i) - w(i). Calculate the smallest common multiple of 14 and r(-11).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = 3*t + 4, 17 = -2*l - t. Let w(b) = b**2 + 6*b - 5. Calculate w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2017822 to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1369e - -57ea?\nAnswer: -deb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1452 = -1978. Round m to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*l + 23, 2*p = -l - p + 17. What is the highest common factor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 - (2 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.16 (b) 129 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0*w**2 + 2*w**2 - 4*w + w**2 + 1. Let p = 1393 + -1390. Let s(q) = -6*q**2 + 9*q - 3. Calculate p*s(i) + 7*h(i).\nAnswer: 3*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2\/l**(1\/10)*(l\/(l**(-1\/2)\/l))**(9\/13) assuming l is positive.\nAnswer: l**(236\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 2*p - 5*p + 3*p**2 - 6)*(12*p + 25*p - 15*p).\nAnswer: 66*p**3 - 132*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - -62950628.\nAnswer: 62950628.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 307 = -317 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Suppose -3*n - i - 6 = 0. Let x = 119\/780 - 1\/52. What is the second smallest value in 1, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 10 - w - 4*w**2 - 3*w + 3 - 5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962 (base 11) in base 10?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 6. Let p be y(-7). Let n = -5 - -2. Is (p + 20)*(4 + n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1022 and 672.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -1.9308, -0.0715 in ascending order.\nAnswer: -1.9308, -0.0715, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 9*o**2 - 7*o - 5. Let q be x(8). Suppose -q*s + s = -340. Suppose m - s = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 114010, 114007, 114008, 114013, 114022, 114035?\n\"Answer: 2*i**2 - 9*i + 114017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.021741 months to years.\nAnswer: 0.00181175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 2. Let d be k(8). Let r = -29 + 33. What is the greatest common divisor of d and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/286 - 170\/1056. Let i = l - 151\/336. Put i, 20\/9, -0.3 in descending order.\nAnswer: 20\/9, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -44. Let m = x - 16. Let q be (6\/(-9) - -1)\/(m\/9). Is q < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 3*h**2 - h. Let n be w(-2). Suppose 7*y - 3*y - 109 = -x, 0 = -3*y + 3*x + 78. Let i = 31 - y. Put i, 2, n in descending order.\nAnswer: i, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 61948 = -2*q, -2*q - 28207 - 2770 = -o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -2436741.\nAnswer: 8\/2436741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241675099.\nAnswer: 23, 251, 41863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4705837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 8*n + 10. Let s(g) = -3*g**2 + 24*g - 30. Let y(v) = 3*s(v) + 8*t(v). Let q be y(4). What is the greatest common factor of q and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1 + 1 - 2*s. Let f = 7 - 4. Let d(a) = 0*a + 4*a - f*a + a. Give h(d(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9957082 millimeters in centimeters?\nAnswer: 0.09957082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -0.011609580483.\nAnswer: 1.988390419517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m + 11217 = -321*m - 1465 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b + 15 + 5*b**3 - 51 + 17 + 18 in the form f*b + q*b**2 + u + y*b**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 5:36 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39479521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 28, 35, 40?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0*u**2 - 1\/20*u**5 - 1\/4*u**4 + 0*u**3 - u + 0. What is the third derivative of g(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 + 2 - 2) + 0. Let b = -8 + a. Suppose -2*u = -b + 2. Let h(i) = i**2 - 2*i + 1. What is h(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -946 divided by 2?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16124 + 25376. List the prime factors of v.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 2:17 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13408947 is divided by 4469644.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6883.\nAnswer: 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -66*z + 312 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, o: 2, i: 2}. Give prob of sequence oi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624 - 183*i**2 + 628 + 0*i - 768*i**2 + i.\nAnswer: -951*i**2 + i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 26*r - 2169. Let d(o) = 11*o - 1085. What is -7*d(x) + 3*g(x)?\nAnswer: x + 1088","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z - 75. Let i be f(7). Suppose 4*g - 6 = j, 0 = -3*g - 0*g + i*j + 2. Solve g*w = -0*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -757*v**2 - 2245*v + 68. Give q(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 3*k - 8*k - 113993 - 6*k.\nAnswer: -2*k - 113993","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 30)*((9*j - j - 4*j)*(2 + j - 2) - 2*j**2 - 2*j**2 + 2*j**2).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*f + 12*f - 3*f + 20*f in the form m + q*f and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45476 is divided by 22513.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/7)*z)**(-2\/33)\/(z**(2\/3))**6 assuming z is positive.\nAnswer: z**(-956\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - c - 1. Let w be a(-1). Let y = 24 + -24. Suppose w*b**2 - 4*b**3 + y*b**3 - 2*b**4 + 4*b**4 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-39)*y**(-20) assuming y is positive.\nAnswer: y**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -23*p**2 - 23*p - 17. Let c(f) = 30*f**2 - 3*f - 5. Let j(a) = -16*a**2 + 2*a + 3. Let t(z) = 6*c(z) + 11*j(z). Calculate -6*r(b) - 34*t(b).\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067529973 rounded to 6 decimal places?\nAnswer: 0.000675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*v - 2*p, -v = 2*v - p - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1837114 by -1.\nAnswer: -1837114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-45))\/(-1)*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8602 or 8595?\nAnswer: 8595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 4367?\nAnswer: 5\/4367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -31283 equal to -31297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 63*b**4 + 4*b**3 + 6*b**2 - 80*b - 8. Let r(t) = t**4 - t**3 - t**2 + 2. Let i(q) = -m(q) - 4*r(q). Find the third derivative of i(l) wrt l.\nAnswer: -1608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 191918686 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -21. Let s = -123.51 + 123. Let l = s - -0.55. Is u less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 39 - 35*a + 6*a + 2*a - 46*a. Is 10 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5623408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6522*i = -7203*i - 14982 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -537?\nAnswer: 1\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*m = -317*m - 4*w + 8, 5*w = -4*m + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/4))**(2\/31))**20 assuming p is positive.\nAnswer: p**(50\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:19 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:01 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 65*t**2 - 1312*t - 9. Calculate the remainder when q(-81) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c + 1. Suppose -3*w = 34 - 43. Let d(s) = 5*s - 4*s - w*s + 4*s. Give d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*(186\/(-24))\/(-31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 282 + 231. Solve -26 = -5*m - b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(-16\/5)\/(h\/(h*h**3))**(-2\/127) assuming h is positive.\nAnswer: h**(-8158\/635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 566384327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3064 + a?\nAnswer: -3056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 70802 (base 14) in base 3?\nAnswer: 111202000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*v**2 + 4*v**2 - 2*v**2)*(1 - 4 + 5) - 3*v**2 + 3*v**2 + v**2)*(-315 - 1128 - 874 - 847 + 913).\nAnswer: 6753*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1092 and -115\/1456.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3618.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(35)\/sqrt(5)) + 4)*4 + 2 + sqrt(192) + 6*(sqrt(192) - sqrt(192)*-2) + -1)**2.\nAnswer: 5304*sqrt(3) + 73297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -154\/5?\nAnswer: -154\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7*g + 20. Solve -g*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 - -83. Suppose o - 2*d - q*d = -25, -25 = 2*o - 5*d. Is 4\/9 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/367?\nAnswer: -6\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*h + 171*h + 8004 = -179*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -8*s**2 - 1\/6*s**4 + 0*s - 1\/30*s**5 + 0*s**3 + 1\/60*s**6 + 0. Solve i(l) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*l**2 - 3 - 1 + 2 + 204*l**2 - 6*l + 2*l to f + s*l**2 + k*l and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b636 (base 14) to base 3.\nAnswer: -1121002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 74248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*d - 71 = -z, -4*d + 62 = 3*z. Suppose -2*f = -5*j + 3*j + 140, 3*j - 2*f - 205 = 0. What is the remainder when j is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13347*j - 225105 + 42126 = 137349 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.013991, 132, 0.1, 4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15603 (base 11) to base 3.\nAnswer: 1010012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 3*t + 2. Suppose 2*i - j = 0, -10*i + 5*i - 3 = -j. Let d be b(i). Solve -d*p + 5*p = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69816, 139674, 209532, 279390, 349248, 419106?\nAnswer: 488964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 6*d + 3. Let h be j(6). Let f be ((-1)\/2 + 1)*(-12)\/(-3). Suppose -y - h*s - 7 = -3*y, 5*y + f*s - 65 = 0. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.38 (b) -4 (c) 0.115 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2521, -2756, -3397, -4648, -6713?\nAnswer: -9796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 171 = 14*c. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3474, -13888, -31246, -55548, -86794?\nAnswer: -124984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7582, 7632, 7696, 7774, 7866?\nAnswer: 7972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhuhhhhhshhhhhuhh.\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10180*c = 10054*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*s = 945, -4*q + s + 568 = -195. What is the greatest common divisor of q and 3008?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-14)*640\/(-220). Let p = w - 7\/11. What is the fourth smallest value in -2, 2\/17, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.33 times 42\nAnswer: 55.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 13*v - 12. Let w be z(11). Let n be 5 - (2 + w\/(-5)). Let f be 1\/5*n*3. Solve 2*q + 3*i + 17 = 0, f*q - 2*q = -i - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose 2*p - 5*i = 18 + 3, 5*p - i - 18 = 0. Suppose -9 = -p*t + 3. Calculate the remainder when t is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-2)*(-24)\/(-42))\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (23 - (1 - 29)) - -40\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -2, 2, 42, -4 in increasing order.\nAnswer: -106, -4, -2, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 110*c**2 - 2 + 1289*c**2 + 2.\nAnswer: c**3 + 1179*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1968 by 164.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = 0. Let m = -2 - -8. Suppose b = m*a - a - 25. Solve a*j + 1 - 26 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 11*a**2 - 13*a - 9. Let n be d(-12). Let -3*o**4 + 18*o**n + 6*o**2 + 19*o**3 - 34*o**3 = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 248, 767, 1702, 3173, 5300, 8203, 12002?\n\"Answer: 20*c**3 + 28*c**2 - c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(304) + 1 - sqrt(304)) - (-2*sqrt(304) + 4 + 2*sqrt(304) + 3))**2*-3 + 2.\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 152*h - 244. Calculate q(-150).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*s - 31, 2*s + 5*l - 32 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 5*p**2. Let v be i(-5). Let t(k) = k**2 + 27. What is the remainder when t(v) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 23*f - 37*f. Let o be 1\/(-2*1\/22). Is f <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u - 5*b, 3*u + 6*b - 7 = 8*b. Factor 2 - 3*j**2 + 0 + j**3 - 3 + u*j.\nAnswer: (j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(1 + -4 + (sqrt(1053)*-3 - sqrt(1053))**2).\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332*h + 266 - 170*h - 163*h + 712 to k*h + u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (1 - (3 - 1)). Let j(z) = z**3 - 5*z**2 - 9*z - 9. Let y be j(7). Let r be 4*(y\/(-8) + 2). Put f, r, 1\/11 in decreasing order.\nAnswer: f, 1\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/70)\/(15\/(-14)). Which is bigger: 1087 or m?\nAnswer: 1087","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 30 = 4*x, -4*i = -4*x - 40. Suppose 0*m - 2*w = i*m - 1780, -2*m - 2*w = -718. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 l when four letters picked without replacement from wddlbwglwd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a. Let n(p) = -1. Let u(c) = -g(c) + 5*n(c). Differentiate u(s) wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.01920051 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssesumas. Give prob of picking 2 s, 1 u, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*m**5*y + 8*m**4*y - 7*m**3 + 2*m*y - 628*m + y - 13 wrt m.\nAnswer: 1640*m**3*y + 96*m**2*y - 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s - 4. Let y(j) be the third derivative of j**4\/24 - j**3\/6 + 3*j**2. Suppose -2444*i = -2438*i + 36. Give i*y(n) + t(n).\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 467, 787, 1107?\n\"Answer: 320*z + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*x**3 + 123*x**3 + 126*x**3 - 497*x**3 + 120*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, y: 1, i: 2, h: 11, l: 1}. What is prob of sequence hv?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 698\/37559 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(76) + 2 + -1 + sqrt(19).\nAnswer: 1 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 715813\/5 - 143162. Solve l*b**3 - 24\/5 + 39\/5*b**2 - 3*b**4 + 3\/5*b**5 - 6\/5*b = 0 for b.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45391 is divided by 13782?\nAnswer: 4045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -87.98608, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7241576 (base 8) in base 4?\nAnswer: -13110031332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1 - -2. Which is the nearest to -1? (a) 2 (b) n (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = -2*t + 4*z, t - 4 = z. Suppose 5*c = 5*j - 25, -t*c + 20 = -0*j + j. Solve q + h + 4 = 0, -j*q - 12 = -3*q - 3*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -359\/3 - -121. Determine s, given that p*s**3 + 0*s - 2\/3*s**4 - 2\/3*s**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + -9 + (-3 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 12:40 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 0 - sqrt(48)*3) + sqrt(3) + sqrt(12)\/sqrt(16) + -4 + 3*sqrt(3))*-5.\nAnswer: -45*sqrt(3)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 39*d**2 + 1316*d + 9. What is t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 31*v - 62*v - 3 - 3 - 22*v + 27. Let u(o) = 3*o**2. Determine j(u(f)).\nAnswer: -159*f**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 0 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746473187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -2.09 (b) -0.07 (c) -15 (d) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474612?\nAnswer: 2, 368653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - 99 - 3*b**3 - 99.\nAnswer: 3*b**3 - 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.47?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -23377, -5\/6, 11, -5 in decreasing order.\nAnswer: 11, 0.3, -5\/6, -5, -23377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 63 - 5)*(2 + 1 - 4)*(-2*y**3 + y**5 + 2*y**3).\nAnswer: 57*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + (-75)\/(-10) - 27\/(-6). What is the biggest value in -11.7, l, -4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185259 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733490 is divided by 163?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 - 1943961967*x + 1943961967*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/39 - (-34)\/6. Solve u - 5 = 3*b - 0*b, 25 = m*u - 2*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2003? (a) 1\/4 (b) 1 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242.5486 - 0.0486. Let c = -243 + v. What is the closest to -0.1 in 5\/11, 1\/4, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2177, 2311, 2453, 2609, 2785, 2987?\n\"Answer: f**3 - 2*f**2 + 133*f + 2045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (96\/72)\/(4\/18). Which is the second biggest value? (a) r (b) 1\/4 (c) 1 (d) 1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, d: 1, l: 10}. Give prob of picking 1 l, 1 d, and 2 x.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 6*a**2 - 20*a - 94. Determine x(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4032 is divided by 501?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*k - 72, 3*k - 5*s - 45 = 51. Solve -34*a + k = -109 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 39*x - 931. Give n(15).\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32041\/11395506 - -34\/11915. Let g = 459599\/103610 + h. Let y = g + 42\/13. Find the common denominator of -2\/3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*h**6 + 4310*h**5 - 75*h**2 - 3*h - 114.\nAnswer: 1800*h**3 + 258600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -9, -5\/4, 5, 3\/3016, -11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 3*y)*(0*y**3 - 4*y**3 + 3*y**3) + y**4 - y**4 + 3*y**4 - 618116*y + 2*y**3 - 6*y**4 + 618116*y.\nAnswer: -5*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 20) + 22 - 18.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20087321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 158*i**3 + 150*i**3 + 1.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/(v*v*v\/((v\/v**(3\/8)*v)\/v)))**(-29)\/(((v*v**(2\/11))\/v**(-3\/10))\/((v\/v**(-3\/7))\/(v**5\/v))) assuming v is positive.\nAnswer: v**(-604229\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-3))\/(23\/115))\/(1\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 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: Rearrange 6*j**3 + 8*j**2 - 7*j**3 + 2*j**4 + 0*j**4 - 4*j**2 to the form v*j + l*j**2 + u*j**4 + h*j**3 + z and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/6*s**3 + 0 + 6*s + 1\/4*s**4 + 0*s**2. Find the second derivative of i(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 5*d + 6. Let p be r(-4). Solve -p*c = -0*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 7*r**3 - 2*r**3.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 47*c - 27. Determine f(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/31 + 67\/155. What is the nearest to c in -1\/2, -2\/9, -2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -39 (c) -3319 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:31 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -22128, 5, -5, 3 in decreasing order.\nAnswer: 5, 3, -5, -56, -22128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 63*c + 6*c**2 - 39*c**2 - 16*c**2. Let n(a) = -3*a**2 + 4*a. Let v(y) = -4*g(y) + 63*n(y). What is the units digit of v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 4*t - 5. Let y = 2 + 0. Let d(a) = 0*a - 3*a + 2*a + 2*a. Let w(o) = -4*o**2 - 9*o + 9. Let r(q) = y*d(q) + w(q). Give 6*r(i) + 11*z(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f. Suppose -s + 3*w + f*w + 2 = 0, -5*w = -3*s + 2. Sort -4, s, -3 in descending order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(17\/170)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/120 + 2*y**5\/15 + y**4\/24 + y**3\/6 + 6*y**2 + 5. Let k(d) be the second derivative of r(d). Determine k(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 22842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 192 + (0 - 1) + -1. Suppose -4*b + b + 150 = -3*l, -l + g = 4*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272\/3 + 2 - (-60)\/(-90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 greater than or equal to 5187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10212000 (base 3) to base 6\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*y**2 + 53*y**2 - 82*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/63 and 61\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -86400000 to the nearest one million.\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.866 - 0.134. What is the third biggest value in 4\/7, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000607265 rounded to 7 dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**8\/560 + d**5\/40 + d**3\/3 + 4*d**2. Let m(h) be the first derivative of o(h). Find the second derivative of m(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -93, -305, -715, -1389, -2393?\n\"Answer: -11*s**3 - 3*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -200185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 12*y - 79 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13696*g**4*x - 2*g**4 - g**3*x + g**3 - 18*g**2*x + 379*g*x + x wrt g.\nAnswer: 328704*g*x - 48*g - 6*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 + 791 = 16*j. Calculate the highest common divisor of j and 1770.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 3*i, -2*i + 10 = -3*m + 6*m. What is the least common multiple of 10 - (1 + (-10)\/m) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -46 (c) 9 (d) -0.5 (e) -1 (f) 0.1 (g) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 10778?\nAnswer: 10764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) -1\/4 (b) 2\/9 (c) 35\/53 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 13*o - 2*o. Solve o = -3*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7485 - -7490. Solve 5*x = 3*y - 13, -2*x = -5*x + h*y + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568708 and 50540.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -335 (b) -867 (c) -2\/9 (d) -0.07 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5111746*0.4\nAnswer: 0.20446984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 - (-4 - -1))) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 75.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 3415 = -5510. Let w = h - -22877\/18. Find the common denominator of -47\/14 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*c - 2*c + 9, -3*y - c = 3. Suppose 32*p - 31*p - 70 = y. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let n(b) = -6 + 0 + 0*b**2 - b + 5 - b**2. Let l(t) = 7 - 17 + t**2 + 12 + 2*t. Determine s*n(r) - l(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 969666 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*f - 433*f**3 + 1 - 461*f**3 + 149*f.\nAnswer: -894*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/24*0\/(-1). Let r be (-3)\/2 - (-133)\/38. Solve -2*n = r - o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by -47.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/6, -2\/32303?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.205 - -9.605. What is the nearest to -43 in 0.07, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*v - 30 = 0, v = 3*s + 3*v - 19. Suppose c + 2867 = s*n + 3*c, -n - 4*c = -939. Suppose -n = 7*d - 8*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.01, 25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034*u - 5188*u + 1880*u - 10134*u.\nAnswer: -14476*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 333*i - 57*i - 4 + 284*i + 865*i + 374*i to s*i + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*l - w + 17, -3*w = -15. Let v(t) = 13*t**2 - t - 1. Let g be v(l). Does 9 divide (g - 3)\/2 - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/23856 and -73\/492.\nAnswer: 978096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19572 and 1631.\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7716060?\nAnswer: 2, 3, 5, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 282954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-301)\/(-4) - (26\/8 - 3). Let m = 242 + s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -1\/2 (b) 2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 1.17.\nAnswer: -0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(315)*2 + sqrt(315))\/sqrt(5) + sqrt(63))\/(sqrt(81)*-5))**2.\nAnswer: 1012\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (sqrt(272) - (sqrt(272) + 1))*1)**2 - sqrt(272)*-2*-5) + -4 + sqrt(612) + sqrt(34)\/(2*sqrt(2)).\nAnswer: -51*sqrt(17)\/2 + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.7 - -2.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 611688 + -611673.000075. Let n = 10.6 + 4.4. Let r = n - t. Round r to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 + 128870*h + 32267280 = 0 for h.\nAnswer: -248, 26022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -45, 5, 1 in ascending order.\nAnswer: -45, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {p: 4, o: 2, c: 1, y: 6}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in 1, 0.7, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42, 2959, 33?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 - 2*q + 18. Let r be u(-5). Let j = r + -105. Suppose 0 = 3*t - 5 + 17. Is j smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, u: 1, d: 1, t: 3, a: 2, w: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 1900, 2838, 3766, 4678, 5568, 6430?\nAnswer: 7258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -140 - 1?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10839878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -12. Let x = -72 - -80. Calculate the least common multiple of x and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/16 - (-15949)\/59128?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*f + 47 = 0, -4*g + 274 - 201 = 15*f for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 0 + (-6)\/((-30)\/55). Suppose -16 = -n*h + 16. Calculate the common denominator of (-595)\/(-306) - h\/(-6) and -4\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260688095 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10980 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/2 in -6\/25, 1, -0.1?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - (2 + 0 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 252 = 107*w. Sort -11, w, -14, 3.\nAnswer: -14, -11, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 12:30 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-3 - 4 + 6)*(12*n + 11*n - 3*n).\nAnswer: -40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 442749 < -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 114, 207, 336, 501?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 18. Let j(c) = -d*c + 16 + 0*c**2 - 10 - 2*c**2 + 3*c. Let y(i) = -2*i**2 - 4*i + 5. Determine -4*j(u) + 5*y(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(2*k**4 + k**3 - k**3)*(0*k + 3*k - 2 - 1).\nAnswer: -6*k**5 + 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(117))**2 - sqrt(117).\nAnswer: -3*sqrt(13) + 463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 m when four letters picked without replacement from nhmnmmmmmhnhhnh?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -2556. Let i be o\/(-36)*1*4. Suppose -7*b + 711 = i. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 5. Let q be t(5). Suppose 3*i + i - 24 = 0. Suppose -i = -3*w - 4*v, 3*w - 5*v = -4 + 10. Put q, -2, w in decreasing order.\nAnswer: w, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - n + 22 + 0*n - 3*n. Calculate the remainder when i(-8) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11172280 and 70.\nAnswer: 11172280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 206, 785, 2360, 5429, 10490?\n\"Answer: 83*v**3 - 2*v + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**(1\/4)))**(10\/7)\/(r**(-2\/13)*r**(1\/6))*(r**1)**(-2\/129)\/(((((r**(2\/7)\/r)\/r)\/r)\/r)\/(r\/(r*r*r**(1\/4)))) assuming r is positive.\nAnswer: r**(64073\/46956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 1 - -2)*55\/308?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:06 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183 + 1106. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -77*q**3 - 27*q**2 - 69*q + 94. Is v(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224726461*g**5 - 47238*g**2 + 21*g + 2.\nAnswer: 13483587660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-1 - -19) - -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 20*q - 6. Let n(s) = 4*s**2 - 21*s - 7. What is 6*g(i) - 5*n(i)?\nAnswer: 4*i**2 - 15*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8.467, 2\/11, 2\/9, 4, -1.\nAnswer: -4, -1, 2\/11, 2\/9, 4, 8.467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 18. What is g(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*-2*sqrt(931) - (-4*(sqrt(19)*2 + sqrt(19)) + 5)) + 3)**2 + 1)*4.\nAnswer: 1152*sqrt(19) + 394004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23495103?\nAnswer: 3, 431, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002968745956 rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(126\/360*-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 23 = -1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (3 + 2\/(-2)). Suppose -t = -3*k - 59, 14*k = -t + 13*k + 47. Suppose -s = -v*s + t. Calculate the least common multiple of s and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232871 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: In base 3, what is -11 - -10011111210110?\nAnswer: 10011111210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 - (-2 + -2). Suppose -2*x = -4*x + a. Let c(s) = 5*s - 2. Calculate the remainder when c(1) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -190, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289*i**4 - 1780*i**2.\nAnswer: 6936*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -3)*3236\/(-2 - -6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t + 50*t + 43*t + 117*t = 0. Let u = -47 - -237\/5. Factor 8\/5 - u*i**2 + t*i.\nAnswer: -2*(i - 2)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35211*y - 239890*y - 166185*y.\nAnswer: -370864*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**(-2\/7))\/f)\/f)**(-21)*(f*f**0)**2*((f*f**(-1\/3)*f)\/f**(-1))\/(f**(-1)\/f**1) assuming f is positive.\nAnswer: f**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -116\/11, 0.3?\nAnswer: -116\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 498 - 500.09. Let l = u - -2.0801. Let q = -0.01 - l. Round q to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 6 = -0. Let k be -5 + 9 + (-1 - r). What is the second derivative of 9*z**2 + 11*z + 5*z**2 - 14*z**k + 6*z**3 wrt z?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 23*s + 18 = 21*s, -3*g + 4*s = -14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/42)\/(((-45)\/144)\/5).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 513\/6*(-59)\/(7434\/(-28))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(72) - ((-1*sqrt(288) - sqrt(2))**2 - sqrt(2)).\nAnswer: -335 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 194.3 and 5016.\nAnswer: 974608.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2\/(-14) + 128\/14 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 74.2173 weeks?\nAnswer: 44886623040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 2\/43?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -0.1, 1, 7, 100, 5\/6 in descending order.\nAnswer: 100, 7, 1, 5\/6, -0.1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141\/5 + -1279\/45. Which is the second biggest value? (a) -1\/7 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(-3))\/(-10))\/(12360\/144)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from tmvmwmmmwwwewseew?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 11\/136109?\nAnswer: 11\/136109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -532, -1068, -1622, -2200, -2808, -3452, -4138?\nAnswer: -4872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191306, 765199, 1721664, 3060683, 4782238, 6886311, 9372884?\nAnswer: 12241939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 + 3282496?\nAnswer: 3282439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c**(-1\/4)*c)))**42*c**(2\/3)\/(c**(1\/2)*c) assuming c is positive.\nAnswer: c**(344\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-14))\/(-27 + 30). What is the closest to 2\/3 in -0.5, s, 1\/8, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**16)\/(l\/l**4*l))\/(((l*(l*l\/((l**(-17)*l)\/l))\/l)\/l*l)\/l**(-1)) assuming l is positive.\nAnswer: 1\/l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -294, -5\/3, -0.12, -0.5 in ascending order.\nAnswer: -294, -5\/3, -0.5, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313635*g**5 + 22*g**4 - 1383*g - 313632*g**5 + 305*g wrt g?\nAnswer: 60*g**3 + 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4943923 - 1.6464629. Let w = -89.8484594 + s. Let n = w + 91. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose -5*y + k + 8 = 0, 5*k = 3*k + q. What is the third derivative of 13*l**y + 4*l**4 - 14*l**4 - 17*l**2 wrt l?\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Suppose -5*j - 48 = -29*j. Let i(g) = 2 - 58*g + 60*g**2 - 2 + 60*g + 165*g**j. Calculate i(n(h)).\nAnswer: 225*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 10. Let w be y(-3). Let h be (-4)\/3*(-6)\/w. Solve 5*k = 3*k - h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604095673 to the nearest integer?\nAnswer: 24578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/504)\/(4\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 56769.\nAnswer: 56769.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*s - 104 + 104)*(-s - s + s) - 6*s**2 + 3*s**2 + 0*s**2 + (-1 + s + 1)*(2*s + 0 + 0) - 2*s**2 + s**2 + 3*s**2.\nAnswer: -79*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 260820 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.037 - 6.163. Let c = f + -2.8. Which is smaller: c or 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -9. Solve -u = 3*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2512 divide 431345360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151782549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 + 7*q. Let x = 2 - -7. Suppose c = 3 - x. Determine s(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 6\/11, 4, -1.\nAnswer: -1, 1\/2, 6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 - 683250*o + 38902546875 = 0.\nAnswer: 113875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 22*q**2 + 40*q + 32. Let v be l(21). Suppose -161 = -4*s + v. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -7\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32763 divided by -3.\nAnswer: -10921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p = -340*p - 395 - 451 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 7*b**2 + b - 4. Suppose 0 = -2*d + 3*d. Let u be 5 + (-3 - (d + -1)). What are the prime factors of v(u)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + 4 + sqrt(80)\/sqrt(4)) + 4)**2.\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, m: 1, v: 8, k: 5, n: 1}. Give prob of sequence vmxv.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 31, -55, -211, -461, -829, -1339?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*o - 11 = 0, 337 = -4*q - 5*o + 339 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 9:17 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 536784 and 5367831\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m. Suppose m = f - 5*f - r + 71, 2*f + 2*r = 40. Calculate the remainder when (1\/(-2)*1)\/(11\/(-132)) - -26 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 24. Let d be (3 - 2 - 2)\/(3\/g). Suppose -1\/2*w**d + 0*w + w**3 - 1\/2*w**4 + 0 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -19653*j - 176881. Calculate t(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*4*(-4)\/(-48). Suppose -b - 24 = -4*q, -2*q + 15 = -s*b + 3. Solve 0*x = -2*x - 4*p - q, 0 = 4*x - 5*p - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjwr when four letters picked without replacement from jwjrwwjww?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -1\/3*a**6 + 2 + 10\/3*a**3 - 2\/5*a**5 + 0*a + 2*a**2 + 3\/2*a**4. Factor c(b).\nAnswer: -2*b*(b - 2)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49052 is divided by 6118?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2024\/15 + -401\/3. Calculate the common denominator of -73\/1797 and g.\nAnswer: 8985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6540?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 1 + 1)*(4*m - 3*m + 0*m)*(3*m**3 + 2*m**3 - 9*m**3).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582000 = -5*v - v. What is v rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 901.9089 millimeters?\nAnswer: 0.0009019089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let c(w) be the first derivative of w**6\/180 - w**3 - 2*w**2 - 82. Let q(b) be the third derivative of c(b). Calculate q(p(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2725711990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/50 and -27\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -9. Let g be y\/39 + 134\/26. Suppose -g*q - 10 = 0, -11 = -5*d - 0*q - 2*q. Solve j - 17 = -d*t + 8*t, 0 = t - 2*j - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(1*sqrt(81) - sqrt(9)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + x**2 - 2*x**2 + (x - 2*x + 2*x)*(1 - x - 1) + 15*x**2 + 6997*x - 6997*x - 2*x**2 + 5*x - 5*x.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*l**4 - 137*l**3 + 57*l**2 - 17465324*l wrt l.\nAnswer: -1308*l**2 - 822*l + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -443*c**3\/3 + 259*c**2\/2 - 552*c + 2. Find the first derivative of s(n) wrt n.\nAnswer: -886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/7 - 884*r**3\/7 - 6074*r**2\/7 + 6960*r\/7 = 0.\nAnswer: -435, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18279*o**2 - 18279*o**2 + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2684, 10727, 24132, 42899?\nAnswer: 67028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412286 is divided by 19631.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**2. Suppose -2*h + 1 + 3 = 0. Suppose -5*x - h = -4*q - 0, -3*q + 9 = 0. Let g(p) = x*p - 6 + 6. Calculate g(m(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/12 + 8*f**3\/3 - 7*f**2 + 2*f. Calculate the remainder when l(13) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -904 + 1336. Suppose 151*h - 8 = 155*h. What is the common denominator of v\/45 + (-3 - h) + 0 and -27\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*j = 13, -241 = 4*t - 2*j - 263 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 6\/(30\/(-65)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 9*x + 1. Let z be q(-7). Suppose -4*s = -s - 2*t - z, 0 = 3*s - 5*t - 15. Suppose -14 = -5*d + 1. Is s < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f + 9. Let d(z) = 32*z - 1. Let s(t) = -64*t + 3. Let o(a) = f*s(a) - 5*d(a). Let m be o(-3). What is m rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*c = -43, c - 15 - 25 = 5*i. Let b be 72\/28 + 2 + i\/(-21). What is the highest common divisor of 55 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**3\/6 + w**2 + w - 1. Let y(k) be the first derivative of u(k). Let p be (-4)\/(-4)*(-2 - 1 - -2). Determine y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/123)\/((-1)\/6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027125.\nAnswer: 3, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 702\/7 + -100. Which is the nearest to -1? (a) 0.2 (b) 6 (c) -0.2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 10, 1\/3, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-203)\/36 - (2 - 7\/4) and 29\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*l**2 + 18*l**2 - 32*l**2 + 95*l**2.\nAnswer: 202*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189899 divided by 772.\nAnswer: 189899\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12349*j + 6171*j + 7 - 570*j**2 + 6178*j.\nAnswer: -570*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -55.8. Which is the nearest to 0.1? (a) g (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/785 and 99\/151450?\nAnswer: 23777650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103769793 divided by 34589931.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343 (base 12) in base 11?\nAnswer: -1730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by -44?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 4*v + 2, 3*p = -2*p + 4*v + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b9 + 12885?\nAnswer: 127aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89814 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + -131 + 119 - -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602038 is divided by 200679.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -20*s - 2. Let i(k) be the first derivative of -2*k**3\/3 + 17. Calculate y(i(o)).\nAnswer: 40*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-2)\/((-4)\/(-2)). Suppose -8*a - a + 225 = i. Suppose 86 = 26*z - a*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 18. Let h = q + 10. Suppose -31 = -v + h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3325219 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (42595*l - 22006*l - 11916*l)*((-l - 3*l + 3*l)*(4 - 5 + 0) + 2*l + l - 2*l - l + 2 - 2) as w*l**2 + f + v*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58339665 smaller than 58339666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/1685, -2, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -1.8 (c) 3 (d) 0 (e) 382\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 8124.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o + 1. Let q(v) = 14*v - 1. Determine 3*q(x) + 4*u(x).\nAnswer: -10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-11) - 312\/22. Let n be 10\/z + (-2)\/7. Let r be 3 + n*4\/(-2). Solve -p = -3*g + 16, r*p + 55 = 3*g + 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-682)\/2728*-1*(-120)\/(-4).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39756731 is divided by 1288?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473223513.4 rounded to the nearest 1000000?\nAnswer: 2473000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = 4*p - 131. Let i = p - -85. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121831200 and 2400.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/2753 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 6:27 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*y + 6363 - 39825 = 700*y - 401*y for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7382*l**4 - 472*l**3*u - 10*l**3 - 4*l**2*u - 822*l**2 - 271*l wrt l.\nAnswer: -177168*l - 2832*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/130 and -65\/18.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + 23. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4))\/(sqrt(3) + sqrt(36)\/sqrt(3)) + (1 + sqrt(5) + -2 + sqrt(5) - sqrt(45)\/(2*sqrt(9))))**2.\nAnswer: -13*sqrt(5)\/3 + 881\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 55 = -2*x + 5*g, 3*x = 4*g - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 862 - 862. What is the third smallest value in 2, -4\/3, j, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**4*w**3 + 241*v**4 + 2*v*w + 451*w**3 wrt v.\nAnswer: -36*v**2*w**3 + 2892*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbt when three letters picked without replacement from btbtbtynnb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**2 + 18*c - 1376. Let s(z) = -z**2. Calculate u(s(x)).\nAnswer: -5*x**4 - 18*x**2 - 1376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (114\/18)\/((-3)\/(-9)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2 + 668288300*z - 668288304 = 0.\nAnswer: -167072076, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335.62662 + -0.07338. Let d = 334 + q. What is d rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hghu when four letters picked without replacement from {h: 5, s: 1, q: 4, u: 2, g: 2}?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**11\/n)\/n**0*(n**(-8)\/n)\/n**(-16) assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -31104?\nAnswer: -31106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 24. Calculate the highest common factor of 3 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.94 - 2208.06. Let f = -2251.7519 - p. What is f rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3007*p. Let z(m) = 84*m + 2. Let t(l) = l**2 - 210*l - 5. Let y(w) = 2*t(w) + 5*z(w). What is y(j(c))?\nAnswer: 18084098*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y + 140*y - 33*y - 31*y - 36*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 9*d**2 + 4. Let s be o(9). Suppose -s*t + 356 + 232 = 0. Let p = t + -80. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 2*p**2 + 41 - p.\nAnswer: 2*p**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37305, -37180, -36945, -36600, -36145, -35580, -34905?\n\"Answer: 55*x**2 - 40*x - 37320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32060822 bigger than 32060823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 8*m + 6689 = -2066. Solve 43*x = -60*x - m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7036*c - 13926*c = -6965*c - 225 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643549351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**18*b)**(-1\/21) assuming b is positive.\nAnswer: b**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2. Let t(g) = -g**2 + 441. Give t(x(k)).\nAnswer: -4*k**4 + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*x - 16 - 264 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose 5*r = -v + 3 + 7, 10 = 5*r + 4*v. Solve 6*g - r = w*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6975 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57268260109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2350\/125 - (-4)\/(-5) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(78)*-4)\/sqrt(6))**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -31*f - 1080. Calculate the remainder when t(-36) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 5. Let w(g) = g**2 - 10*g - 8. Let b be w(11). Let t(p) = -p + 1 - p + b*p. Determine 5*t(v) - x(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 14\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65094276.\nAnswer: 2, 3, 13, 417271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.154411 - -0.12504. Let n = -89.011629 + s. Let w = -89 - n. Round w to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = i + 3*i. Let l(h) = 6 - 8 + h**3 + 8*h - 7*h**i - 3. What is l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451 and 533.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 17*k**2 - 53*k + 635. Let y be v(16). Let u(d) = -2*d + 2. Let s be u(7). Let m = y + s. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118, 617, 1944, 4543, 8858?\n\"Answer: 74*i**3 - 30*i**2 + 71*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -u + 4*u - d, 5*u - 5*d + 335 = 0. Let y = 76 + u. What is the remainder when 109 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26441 and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -61*q - 15. Suppose 2 = -v, -2*n + 3*v - 8*v = 6. Let a be p(n). Is -137 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2024934760 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111945080 divided by -11194508.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115943*b + 13 = -l - 115945*b, -3*l - b - 14 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 3. Let s be a(3). Let i(y) = 7 + s*y - 2*y + 3*y + 0*y. Let p be i(-6). Calculate the greatest common divisor of p and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-10 - (21 + -9 + 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35633, -35631, -35629?\n\"Answer: 2*a - 35635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1 - -9) + 0. Let o = d + -6. Suppose -15 = -o*k + 11. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -47\/7, -1, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.001 in 19469, 17\/10, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -w - 7*f + 5*f, -10 = -2*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210165246?\nAnswer: 2, 3, 53, 73433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -463.5 + 670. Let k = 282 - v. Let z = k + -75. What is the nearest to 1 in 0.1, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*w**2 - 82*w - 453 wrt w.\nAnswer: 10*w - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 6*h**2 - 6*h + 1. What is the remainder when 33 is divided by f(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j + 27 + 2*j - 27 to c*j + r and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose -f - 3 = -3*p - 0*f, s = 4*p - f - 5. Solve -2*h - 3*g = -14, h - g + 6 = p*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2553 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:15 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19425920 rounded to the nearest one hundred thousand?\nAnswer: 19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 0.02948691?\nAnswer: 0.12948691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*u - 407, -4*g + 172 = -2*u - 602. What is the least common multiple of g and 294?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 40*k**2 - 198*k - 4500. Determine a(-38).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 1. Let d(r) = 132*r + 6. Give -d(m) + 6*u(m).\nAnswer: -126*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -908482, 17, -5, -3\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*a = -30, -a + 5*a = 0. Suppose 0 = -v - 7. Let g(k) = k**3 + 7*k**2 - k - 3. Calculate the remainder when h is divided by g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjj when three letters picked without replacement from jqcqcqcqyj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 21524 in descending order.\nAnswer: 21524, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 56, 6\/11, -2\/9, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17447 is divided by 17430.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q - 10*q - 475. Let d(j) = j + 23. Let t be d(q). Solve t = 4*v - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Rearrange (-10*j - 4*j + 4*j)*(1 - j - 1)*(4*j**2 - 3*j**2 + 0*j**2) to i*j**4 + w*j + c + s*j**3 + z*j**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + 0. Suppose -4*w = -u - 2. Let t(n) = 2*n. Let y be t(w). Solve 0 = -l + 4*l + 2*x + y, 2*x + 10 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 15*h + 0*h - 160 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3 * -92.\nAnswer: 671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -3\/16*w**4 + 30 - 9\/8*w**2 - w**3 + 0*w. Suppose t(x) = 0. What is x?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 16 + 13 = 0. What is the remainder when 10 is divided by 3 + d + 1\/((-3)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x + 12 = 0. Suppose m + 3*w - 16 = -3*m, -x = -3*m + 5*w. Solve 6 = m*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-66)\/(-33))\/((-108)\/243))\/(-5)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3434294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20917746 by -19.\nAnswer: -1100934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00112946 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) - 44\/(-8). Suppose 0 = 3*w, -j - b*w = -3*j + 106. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 2*t**2 - 3*t**2 + 6*t - 6. Let h be (-6)\/(15\/(-6) + 1). Suppose 3*c - 2*u + 12 = 34, 0 = -h*c - u + 11. Calculate f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m**2 - 2*m + 4. Let p be q(0). Let d(n) = -2*n + p + 3*n**2 + 5*n + n + 12*n**2. Is d(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7033?\nAnswer: 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 2 t when four letters picked without replacement from khtvhvkxhvxtk.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 119.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 8*p - 3. Let a be c(8). What is the closest to -1\/3 in a, 5\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1070756389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + (3 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -1\/7 (c) 517937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 + 3*o**2 + 3*o. Let v(m) = -4*m**3 - 4*m**2 - 4*m. Let f be 42\/10 + 6\/(-30). Let z be (-45)\/60 - 13\/f. Give z*j(s) - 3*v(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009238674084 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-720)*(1 - -17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -7*p**5\/20 + 51*p**2. Let o(r) = -3*r. What is c(o(j))?\nAnswer: -189*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 7*m + 9. Let n be r(4). Suppose 0*i = -n*i - 90. Let w = -2 - i. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-7 + 124\/12)\/((-1)\/(-6)) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -416 + 20?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 3*j**2 + 4*j - 9. Determine c(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 6867.91.\nAnswer: -130490.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20440, -41020, -61784, -82732, -103864, -125180, -146680?\nAnswer: -168364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/80 - 41*d**4\/96 + 13*d**3\/12 - 92*d**2. Suppose w(l) = 0. Calculate l.\nAnswer: 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 29026912.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -9. Suppose -2*v - 3*w = -3166, w + p = -v + 1615. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(9\/7)\/(z**1)**(25\/4) assuming z is positive.\nAnswer: z**(-139\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5)*(5*y - 216*y**4 + 212*y**4 + 9*y) to the form u*y**2 + g + a*y**3 + d*y**4 + n*y and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13305 (base 6) to base 4\nAnswer: 200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -5, 1\/9, 15.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 4:28 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 10.11. Let c = -0.1099947 + a. Round c to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 17*w = -12*w + 19. Is w < 183\/128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnexxnq. What is prob of sequence nx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 3*c**3 - 2*c**3 - 2*c**3 + (0*c**2 + c**2 - 4*c**2)*(0*c**2 + 2*c**2 - 3*c**2).\nAnswer: 2*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - t + 2 - 3*t**2 + 2*t**2 - 1. Let l be o(1). Suppose -2*m - 12 = -f, -l*f + 2*m + m + 19 = 0. Solve -12 = -2*v - f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13bb + -3?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(120242 - 120242 + 1246*i).\nAnswer: -2492*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 3*q**2 + 933*q + 4123. Determine g(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-9 - (-20679)\/2298). Is o at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 16. Suppose -25 + 1 = -3*x. Sort g, x, 3.\nAnswer: 3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035041.74 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 - (-20 + 1). Let t = 137 - 136. Solve 4*i = c - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408745?\nAnswer: 5, 81749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/3498 and 89\/6?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/30*50\/20. Let x = -2.9 - -3. What is the nearest to -2\/9 in x, m, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*p - 41584, 156*s - 154*s = 5*p + 41587. What are the prime factors of s?\nAnswer: 2, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 5:40 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -21 + 18)\/(80\/1060)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 13*b - 9. What is f(10)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2196*p - 2200*p = -2*j - 52, -5*j + 5*p - 70 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*q + 7919 + 894 = -2329 + 585 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61142981 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, l: 3}. What is prob of sequence tt?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 3. Let d be n(2). Suppose 9*b = d*b - 72. Let v be 2\/(-9) - 76\/b. Solve 2*j - v*p = -5*p + 11, j + 2 = p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r + 5*o = 21*r + 20, -5*r + 3*o - 10 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3552 and 184.\nAnswer: 81696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 16. Let w = m - 5. Let k(v) = 13*v**3 - 6*v**2 - 8*v + 7. Let y(u) = 12*u**3 - 5*u**2 - 7*u + 6. Let t(s) = -6*k(s) + 7*y(s). Give t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 - 637*g + 33 + 82 - 2991*g as n*g + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 21, 62, 135, 252?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/u**(3\/10)*u**9*u**10)**(-3\/46) assuming u is positive.\nAnswer: u**(-681\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*y + 56, 0 = -h - 0*y + 3*y - 23. Let m = h + 230. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -21, 0.\nAnswer: -21, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26623?\nAnswer: 79, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/(-44)*2\/(-9)*6. Suppose 1 - 7 = -2*v. Solve -w*s - 15 = v*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884518403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 23 = -4*c, -2*c - 371*g + 16 = -369*g for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 + 37646*y\/5 + 354305329\/5.\nAnswer: (y + 18823)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 194546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 37471.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4446 = -3*q - 3*r - 1047, -5*q + 5667 = 3*r. Suppose 1218 = 3*i - q. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284021670 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 - 19*n**2 + 12*n + 4. Let t(o) = o**3 + 9*o**2 - 6*o - 2. Let b(l) = -2*g(l) - 5*t(l). Let h be b(6). Solve 6 = -4*y - h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2 - 9*p**2 + p**3 + 8*p**2 to q + h*p + d*p**2 + w*p**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -48392 > -48393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.87 times -5\nAnswer: -14.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27204477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*v + 83*v - 257*v)*(1 + 2*v**2 + 10*v - 10*v) as j*v**2 + z + l*v**3 + y*v and give l.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 2662?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 18*p**2 + 7*p + 309. Let h(t) = -54*t**2 - 26*t - 926. Let j(l) = -7*f(l) - 2*h(l). What is the derivative of j(s) wrt s?\nAnswer: -36*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Suppose f = t + 3*t - 2788. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89169850 at least -89169849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 26*n**2 + 45. List the prime factors of h(-5).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 5, 0, 1\/6 in increasing order.\nAnswer: 0, 1\/6, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 196*h - 239. Give q(8).\nAnswer: 1329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 58*d = -39. Suppose 5*u = d*u - 24. Suppose 3*r + 2*r - x = 64, u*x = 3*r - 36. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -5154784?\nAnswer: -20619136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210.84 - 2.8483.\nAnswer: 207.9917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -9, -0.0706, 4, 42?\nAnswer: -0.0706","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 224, 334, 444, 554, 664?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*h - 6*h. Let f(v) = -7*v + 7. What is the remainder when f(-4) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6204*b + 43455. Give f(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-9 - -4))\/(5\/(-2)). Suppose 11673 = -n*a + 45677. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h**(-5\/4))**(-28) assuming h is positive.\nAnswer: h**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187055538.\nAnswer: 2, 3, 31175923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkiikkiikikkk. What is prob of sequence ik?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/129, 0.4, 2.175, -2 in ascending order.\nAnswer: -2, -4\/129, 0.4, 2.175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 1, q: 4, d: 5, w: 2}. What is prob of sequence zw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let l(c) = 7525999*c. Determine b(l(p)).\nAnswer: -15051998*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -w, -4*t + 4*w - 7 = -3*t. Let o = 2140\/9 - 238. Let h = -41 + 36. Which is the third biggest value? (a) h (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 40895*t**2\/4 - 30669*t.\nAnswer: -t*(t - 40892)*(t - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -18*f + 19*f - 124312. Does 82 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198616303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.036 + -0.164. Let y be (-45 - -2)\/((-3)\/(-6)). Let z = y + 603\/7. Which is the third biggest value? (a) u (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-1 - -2)) + 6. Let s(c) = 3*c**2 - 6*c + 6. Let i be s(4). Find the first derivative of -2 - i*x**3 + x**t + 30*x**3 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*x**2 - 759*x**2 + 61*x + 2*x**3 + 251*x**2 - 3 + 2*x**4 + 257*x**2 as k*x**2 + u*x**4 + f*x + a + y*x**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 81 = s, 9 = -t + s - 9. Let f = t - -31. Calculate the remainder when (1\/3)\/(2\/222) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 13. Determine g(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.5. Let s = x + 0. Which is the biggest value? (a) s (b) 1\/6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667221 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 1, -3, -97 in descending order.\nAnswer: 80, 1, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967, 24292, 87615, 210934, 414247?\nAnswer: 717552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 78. Let l be m(13). Solve -5 = 5*z - l*z + 4*u, -3*z + u = 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + l + 31 = 0, -4*l - 27 = -3*q + 22. Suppose 5*z - 30 = -0. Calculate the remainder when q is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*q = -6*s, 45*s + q + 3 = 95 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 3*g**5\/20 + 653*g**4\/4 - g - 2385. Factor f(s).\nAnswer: 3*s**2*(s + 653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -3*h - h. Let p = h + 6. Suppose -68 = -3*a + p. What is the highest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20816 and 83014208.\nAnswer: 83014208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 2*j + 27 = -27*u, 0 = -5*u - 3*j + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10265 - 5154 - 45*n**2 - 5111.\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(2000) + 2 + (sqrt(2000) + sqrt(2000)*1)*-1)*-2)**2 + 2.\nAnswer: -960*sqrt(5) + 8146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5134 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -57.8441?\nAnswer: 28.92205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29126, -232517, -784234, -1858331, -3628862?\n\"Answer: -29009*u**3 - 109*u**2 - u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 + 1. Let f = -856\/55 + 180\/11. Let l = 2 + -2.4. What is the closest to p in -5\/4, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (81\/12)\/(5\/(-20)). Let c be 9\/i + (-58)\/(-3). Find the first derivative of 23*o**2 + 7 - c*o**2 - 1 wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/140 and (((-606)\/224)\/(-3))\/((-1295)\/(-1036))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/23482 and 7\/796.\nAnswer: 46964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, b: 10}. Give prob of picking 3 i.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -58.\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5031 and 669.\nAnswer: 1121913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596 is divided by 1131.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 14, 2, -46, -148?\n\"Answer: -3*j**3 + 9*j**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 96 + -64426?\nAnswer: -64380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 11:06 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -2*j + 1\/12*j**4 - j**2 + 0 - 2\/3*j**3. Let v = -24 + 27. What is o(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-2\/11)*u*u)**6*(u*u**(1\/7))**(-10) assuming u is positive.\nAnswer: u**(884\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 - 108923*g**2 - 11864219929*g.\nAnswer: -g*(g + 217846)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmzzmzzlzlzvvzzv. What is prob of picking 1 l, 1 v, and 2 z?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 39*f + 4. Let o(q) = -7*q + 19*q - 14*q. Give y(o(c)).\nAnswer: -78*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.45007 - 0.04993. Let u = -3 - -2. Let i = u + 7. What is the nearest to i in z, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133 - 0 - (-4 - -3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1013, -416 in ascending order.\nAnswer: -416, 10, 1013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/18*27\/(-6). Suppose -4*k = -c*k - 14. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*s = -10, -f - 2*s - 11 = -2. Let j = -474.7 - -475. Which is the nearest to f? (a) 4 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-15 - -14) + -5 + 0 + 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261319*o - o**3 + 261319*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose -4*o - 9 = -5*h, -2*h + 3*o + 1 = -4. Which is the nearest to 1? (a) 5 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2480490 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - 0. Let a be ((-4)\/c)\/(5\/15). Let u be 0\/(-1 + a) + -2. Is u at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.6 - 0.4. Let z = 10 + g. Suppose -2*b = -3*w - 1, 5*w - 2*b + 12 = 5. What is the nearest to -2 in -0.2, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*q - q + 532, -q - 174 = 2*s. Are q and -180 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -1 + (-10 - -34) + -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, 4, -1\/11, 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22516292 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*v - 6, -2*k + 32 = -5*v. Suppose 0 = d + 2*d - k, -4*d = -4*u + 308. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 6. Let u(g) = -11*g**2. Calculate f(u(p)).\nAnswer: -44*p**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/66 - 2*r**3\/33 - r**2\/11 + r - 15. Let t(b) be the first derivative of d(b). Factor t(y).\nAnswer: -2*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 - 1110*g**3 + 1111*g**2 = 0.\nAnswer: -1111, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 114. Let a be z(-4). Which is bigger: 108 or a?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 73*j**2 + 3930*j - 51. Does 152 divide s(-59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10462 (base 12) in base 3?\nAnswer: -1002100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 7*m**2 - 7*m + 1. Let s be z(-3). What is s rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 19*t - 16*t**3 + 19*t)*(-21*t - 6*t + 6*t).\nAnswer: 336*t**4 - 168*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (799\/68 - 15) + (-3)\/((-6)\/14)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 13*q + 12. Let r be l(-11). Let m = r + 8. What is the smallest value in 0.1, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(28)) - (sqrt(700) - 1*sqrt(700)*2))**2.\nAnswer: 56*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - 6\/(1 - 3). Suppose c*z + z = 0. Let x = z + 2. Solve -7 = -3*p - d, -5*d = -3*p - x*d - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*s = -2*s - 2, 3*r + 4*s = 11. Let i be 3 - (-2 + (2 - r)). Let d = 2\/31 + 23\/124. Which is the second smallest value? (a) i (b) 2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**3)*((-3*o - o + 6*o)*(-3 - 1 + 2) + 5*o - 2*o + 8*o).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7412, -7413, -7414, -7415, -7416, -7417?\nAnswer: -7418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -207 (base 8) to base 16\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -13 + 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.029653 hours in weeks?\nAnswer: 0.994224125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -3, -627, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 + -69 + -2 + -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*m + 86*m = 15. Suppose m - 5 = -12*l. Solve l = 5*v - 4*c + 23, 2*v - 2 = -5*c + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473582273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n + 15*n - 29 - 7*n + 18 - 3*n. Let d(s) = -2*s - 11. Determine 5*d(a) - 4*m(a).\nAnswer: 2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -866 and -853 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 335 (c) 17 (d) 0 (e) -2\/145 (f) 2\/9 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykyy when four letters picked without replacement from kyyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3120 is divided by 300.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - -5.93. Let j = q - 6.4. Let t = 1601\/6 - 266. Which is the third smallest value? (a) -1\/5 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4241\/3 - -1414. Which is the third smallest value? (a) -169 (b) u (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.43*31572\nAnswer: 234579.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:58 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 405. Suppose 150 = -8*v + j. What is the smallest value in 0.1, v, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, i: 4, j: 4, y: 7}. Give prob of sequence jys.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19857 is divided by 275?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (420\/49)\/(3\/(-21)). Let h = x - -237. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207058?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-7)\/(-5) - 162\/(-45). Suppose -8119994 = -0*k - k - 2*h, s*k + 2*h = 32479994. Round k to the nearest 100000.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*60\/(-45). Let t be 2 - (-8)\/((-8)\/s). Solve -4*h + 8 + 0 = t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 3, 4 in decreasing order.\nAnswer: 4, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(-8)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 = 9*u. Which is the second smallest value? (a) 0.4 (b) u (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*6\/112 + (-15)\/(-20). Which is the third smallest value? (a) i (b) -0.5 (c) 2 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2602 smaller than -13003\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*-9.88\nAnswer: -18.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -583 + 580.23. What is b rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 + a**3 - a - 12*a**2 + 3*a**3 + 15. Is s(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31614*z + 5909*z + 161*z.\nAnswer: 37684*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2605400 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -28 (c) -1\/11 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrnonornnwrloowl. Give prob of sequence wr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Suppose 3*d + 6 = -21. Let t(g) = g**3 + 9*g**2 + g + 11. Let y be t(d). Is j less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(21)\/sqrt(3)) + 2*sqrt(30)\/sqrt(6).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -23.5423518.\nAnswer: -23.5423518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 7*g - 2. Let t be r(-9). Suppose 0 = -0*v - 4*v + t. Find the third derivative of 2*c**4 - 5*c**4 + c**v + 2*c**2 wrt c.\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/9)\/(v*v**(-18)*v) assuming v is positive.\nAnswer: v**(142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-55) - (-348)\/5. Let i = 57 + c. Suppose 3*w - 3*z - i = -2*w, z + 77 = 3*w. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4895 and 940730.\nAnswer: 10348030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 6 + 36. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 3*y**2 - 18*y**2 + (2 - 2 + 2*y)*(3*y - 4*y - y) + 3*y - 3*y + y**2 - 5*y**2 + 4*y**2 + 3*y**2 as l*y**2 + s*y + v and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-756)\/36)\/(1\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.49 - -2901.49. Which is smaller: -1\/3 or v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(22 - 22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * 13.4\nAnswer: 49.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 5348?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 12804*z**3 + 102240*z**2.\nAnswer: 3*z**2*(z + 8)*(z + 4260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7125 - 5670. Does 35 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/76?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -0.59, -1\/6, -8\/47, -4, -14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20 = -2*k, p + 33 - 43 = -4*k. Let z(c) = c**3 - 4*c**2 - 2*c + 2. Let i be z(3). What is the closest to i in 0.3, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9112, 8955, 8798, 8641?\nAnswer: 8484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -4837?\nAnswer: 38696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116832 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 875 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.885 or 184?\nAnswer: 11.885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q + 1477000 = -916631. List the prime factors of q.\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -39. Suppose 5*f + 7 + 18 = 0. Let a = -7 - f. Sort n, a, -3.\nAnswer: -3, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 721, 1\/2, 0.046, 3\/8 in descending order.\nAnswer: 721, 1\/2, 3\/8, 0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14469153, -14469143, -14469127, -14469105, -14469077, -14469043?\n\"Answer: 3*w**2 + w - 14469157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(22\/((-66)\/(-9))). Solve -s*n = 26*n - 62 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-140)\/(-15))\/(4*2\/(-180)). Let b = o - -213. Which is smaller: b or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*i - 12 = 109*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110521283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/(b\/b**(6\/11)))\/b*b*b**(-16)*(b**(-1\/5))**(-26) assuming b is positive.\nAnswer: b**(-509\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*h**2 + 792*h**2 + 792*h**2 + 799*h**2 + 790*h**2 + 6 - 3969*h**2.\nAnswer: 4*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-10)\/60.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*s + 14, 4*k - 60*s + 2 = -55*s. Sort 6, k, -3 in decreasing order.\nAnswer: 6, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 2 (c) -3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -6 - (11 + 90 - 11 - -13 - -4)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712585113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110834 is divided by 859?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1854 + -190. What is the greatest common divisor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6977, -31053, -71181, -127361, -199593, -287877?\n\"Answer: -8026*q**2 + 2*q + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10765552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -184260 divided by 6142\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:42 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 341000 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*y**2 + 50*y**2 - y**3 - 146*y**2 in the form p*y**3 + b + w*y**2 + n*y and give w.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l**3 - 5*l**3 + l**3)*(0*l - 1981 + l - 111) - 2*l**4 + 3*l**4 - 3*l**4 to the form g + u*l + x*l**4 + s*l**2 + k*l**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15 + l**2 - 13 - 2 + 13. Let j be g(-7). Suppose -25 = -37*c + j*c. Solve 0 = -2*z + 2*v - 2, -3*z - 7 = z - c*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -345436 or 7.2?\nAnswer: -345436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(864) - sqrt(6) - sqrt(6) - -4*sqrt(18)\/sqrt(3))\/(sqrt(8)\/((sqrt(4)*-1 - sqrt(4))*-2)) + -1.\nAnswer: -40*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -909 - -968. What is the highest common factor of k and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(1\/(-20)*5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 754+13.2\nAnswer: 767.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56585 by 5.\nAnswer: -11317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8718457954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -25*t**2 + 383*t + 21. Let s be g(15). Calculate the highest common divisor of 3478 and s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1125728, -2250645, -3375562, -4500479, -5625396, -6750313?\n\"Answer: -1124917*c - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-50)*1110\/(-148)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2388246, -4776484, -7164722, -9552960, -11941198?\nAnswer: -14329436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -710\/72583?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34.49 or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61, 66, 71, 76, 81, 86?\n\"Answer: 5*j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/7, 4, -5, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 2. Let k(g) = 2*g + 26. Calculate k(h(r)).\nAnswer: -4*r + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1265718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -148*x. Let p(j) = -592*j + 1. Let l(n) = 2*p(n) - 9*y(n). Let s be l(-1). Let h = -34 - s. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -2\/1527, 0, -2\/7, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = 14 + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c + 8. What is x(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b + 42 = 0. Let u be (-4 - -1)\/(b\/(-28)). Suppose 7*x - u*x - 75 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 11*l + 9. Let k be b(6). What is the units digit of k*(-3 - -4)*34\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-66))\/(((-303)\/36)\/101))\/(10\/4)?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from gmemgguemhgggmgggg.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076364 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1282541 in increasing order.\nAnswer: 3, 5, 1282541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/148 (b) 0 (c) 20.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3747692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**3)\/(a\/a**(3\/2)*a))**(1\/47) assuming a is positive.\nAnswer: a**(-5\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26716 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101\/72 - -70\/9. Suppose 0 = 3*r - 10007 + 4031. What is the common denominator of r\/160*2\/3 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c + 4*c + 4*c in the form v*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5291 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -6, 1, 14?\n\"Answer: 3*a**2 - 8*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000582929359 to seven dps.\nAnswer: -0.0005829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 8*x + 16. Let r be p(-9). Solve 2*o + 3 = r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3083735 to the nearest ten thousand.\nAnswer: -3080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36.8 and 15?\nAnswer: 51.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 35*a + 69. Calculate v(-14).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/6)\/(-5)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Let m be ((-6)\/3 - -2) + r. Suppose 0 = -p - 0 + 5. Solve 4*k = m*t + t + 14, 8 = -p*t - k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -33, -2, 0.2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 0*p + 7*p = 162. What is the fifth smallest value in -1\/4, p, 10, 4, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, 1\/114, -9, -4, 14, -1\/6, 1?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c - 9 = 2*g, g = c. Let w be -6*g\/12*2. Suppose 4*z = -2*i + 110, 3*z = -w*i + 114 - 33. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 15034049?\nAnswer: 15034059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5*-4725\nAnswer: 23625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4 + 60244*c**2 - c + 207257*c**2 + c. Let m be x(2). What is m rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 200 + 19.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -505?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1342?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8984638\/394777 + 2\/13613. Let d = 12547\/522 + j. What is the common denominator of d and -6 + (3 - 0) + (-38)\/(-40)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3090 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -8. Let y = -18 + 36. Calculate the lowest common multiple of p and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89641578, -89641585, -89641592, -89641599?\nAnswer: -89641606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 + 10824*m**2 - 43332*m + 43344 = 0.\nAnswer: -3612, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -132939, -531762, -1196479, -2127090, -3323595?\n\"Answer: -132947*u**2 + 18*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((0 - 4) + -32 + 29).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6)*-2 - (-2058 + 12). Let y = -875 + w. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 13*i - 2233. What is the derivative of 169 - i - 14*l + l wrt l?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/63*(-15)\/(-20)*(-1)\/(75\/42).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let l = 71.3 + -77. Let f = l + 5.6. Which is the closest to w? (a) -2 (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2345029098 to the nearest integer?\nAnswer: 48426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 5*k - 7, -2*c + 5*k - 17 = -18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2. Let b(k) = 10634*k**2. Calculate b(u(f)).\nAnswer: 95706*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -357 + 356. Let b be (4\/33)\/(2\/(-3)). What is the closest to -3\/4 in b, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, w: 4, i: 3}. Give prob of sequence ie.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102095240 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10219*g = -10106*g - 2825 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25110 * -0.6.\nAnswer: 15066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 8*y - 5. Let x(o) = 3*o**2 - 23*o + 14. Give -17*f(p) - 6*x(p).\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12945, -25126, -37307, -49488, -61669?\n\"Answer: -12181*h - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (12 + 0)) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5597 - 3942. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 17*l**2 - 30*l + 8. Let c be v(15). Suppose 726 = c*n - 2*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 4*n**2 + 6*n - 3. Let x be a(5). Suppose x*h = 6*h - 20. Suppose -2*r = -h*t - 43, -3*t = -0*r + 2*r - 67. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 4266*j + 1516563.\nAnswer: 3*(j - 711)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*h = 3, 2*h - 1 + 4 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/15 + (-51)\/15. Let g be 1 + -3 - (-45 + a). Suppose -g = -5*p + 44. Calculate the least common multiple of 16 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.98783cm to millimeters.\nAnswer: 939.8783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/6 + 94\/(-33) and 2\/14*(-4)\/(-12)*39?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8828 is divided by 138.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.084 less than 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.2. Which is the nearest to s? (a) -2 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13089*3.\nAnswer: -39267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6389\/7458 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001022423 to six decimal places.\nAnswer: 0.001022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**4 + 202205*a**3 + 18962135*a**2 - 38530905*a + 19366560 = 0 for a.\nAnswer: -40347, -96, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18701759*d**2*t**2*y - 2*d**2*t*y**2 - 468*d**2*t - 2*d**2*y**2 - d*t**2*y**2 + t*y + 2597*y**2 + 2 wrt t?\nAnswer: 37403518*d**2*y - 2*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512390539 to the nearest integer?\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5\/3 (b) -3 (c) 0.3 (d) -0.34 (e) -0.04 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -385 - -1?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 + 2*b**2 - 4*b**2 + 2*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9478243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*z**5 - 96*a*z**3 - 31*a*z - 3 wrt z.\nAnswer: 40*a*z**3 - 576*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 - a - 2. Let i(o) = 21*o**2 + 5*o + 10. Let l(p) = -5*d(p) - i(p). Let b(f) = -82*f. What is b(l(n))?\nAnswer: -328*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + z = -4*z - 5, -4*z + 4 = 0. Let f(o) = -2*o**g + 3*o**2 + 0*o + o. Suppose 0 = -4*j + 2*d - 0 + 8, 5*j = -4*d - 3. What is f(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -33 - 6 - (1 + (-366)\/(-33))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11161 - -232?\nAnswer: -10626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v + 53 = -235 + 48 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 less than 1\/75312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*j**4 - 131*j**4 - 203*j**4)*((3 + 1 - 5)*(0 - 2 + 1) + (2 - 1 - 3)*(-2 + 5 - 2) - 4 - 4 + 5).\nAnswer: 1120*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 3:56 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -23 (c) -4\/5 (d) -5 (e) 6\/1513 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 - 6*i**3 + 32*i**2 + i**3 + 1 - 30*i**2 + 3*i**3 to the form v*i**4 + k + s*i**3 + d*i**2 + f*i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - o - 4*o = 7, -5*o - 3 = 3*y. Let p be 4\/8*(y - 2). Let w be (1 + 2)\/((-6)\/(-4)). Solve -p = -w*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:12 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/(-70)*5\/7. Let m(b) = 2*b**2 + b + 1 + b + 0*b**3 + b**3. Let j be m(-1). Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24549 or 24546?\nAnswer: 24549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3898 + -3897.999996319. What is j rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 23*y + 303. Let z be l(-13). What is the highest common divisor of 158 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 947415 and 70560.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 2, 0.13, -3063?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9421856 divided by 32.\nAnswer: 294433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128851 to the power of 1\/2, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4*r - 7*r + 10, -2*r = s - 2. Suppose 0 = 2*m - 2*x - 22, 3*m + 5*x - 520 = -511. Solve 2*u = -s*u - m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2113749 decades?\nAnswer: 0.002113749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*w = 4*n + 104*w + 18, 101*n = 102*n - w + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 + (-275)\/(-22). Let d be 8 - (-107956)\/(-24) - (-2)\/f. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6, 3*x = -6*f + 2*f + 38. Solve -26*j + f*j = 90 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974463 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591912?\nAnswer: 2, 3, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9194 = -38. Suppose -a - 9992 = -16*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2 + 4377488*f - 2395300148768 = 0. Calculate f.\nAnswer: 1094372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -4)\/((-5)\/(-3) + -2). Let v be ((-91)\/(-28) + d)*12. Solve w - j = -4, j = -0*w + v*w + 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + (-2)\/6. Find the third derivative of 0 + 0*c**3 - 3*c**2 + q - 3*c**3 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2303 - 2301.5. Let l be (4 + -3)\/((-65)\/10). What is the closest to y in l, 1, -0.5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 not equal to -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3341 (base 11) to base 4.\nAnswer: -1010301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115)\/(-138))\/(4\/288).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/360 - f**4\/6 - 2*f. Let l(r) be the third derivative of m(r). Let z(w) = 3 - 1 - 2*w**2 - 2. Calculate z(l(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-1\/43) assuming d is positive.\nAnswer: d**(-3\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.224, 3, -7, 1, 206\/49 in ascending order.\nAnswer: -7, 0.224, 1, 3, 206\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24359 + 24358. Sort j, -2, -11.\nAnswer: -11, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*x - 5*b - 3, 5*x - b = 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2 - 46*t - 118. Let c(u) = -2*u**2. Determine q(c(r)).\nAnswer: -4*r**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 6*x**7\/7 - 7*x**3\/3 - 18. Find the third derivative of c(d) wrt d.\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 83.50221 nanograms?\nAnswer: 0.00008350221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-6 + (11 + (-7 - -2) - -45))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-139780)\/26 + (6\/(-13))\/(-3). Is 15\/(-135) + h\/(-27) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 23. Let l(k) = -k - 33. Let r(a) = -2*l(a) - 3*s(a). Let g(b) = 6*b - 8. Calculate -4*g(w) + 11*r(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**2 - 1. Let y be i(1). Let x be 3 + (-3)\/y*(0 - -9). Suppose x = 10*c - 9*c - 3. Solve -c*o + 16 = -7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from hjjob?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 1, c: 4, o: 2}. Give prob of picking 1 w, 1 c, and 2 o.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -7. Let z = -6989\/4 - -1748. Which is the second smallest value? (a) -6 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*k - 43 = -0*k, -4*d - 3*k + 67 = 0. What is the remainder when 84 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*0.06388.\nAnswer: 0.0051104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8730733kg to nanograms.\nAnswer: 873073300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(252))*3 - (sqrt(693)\/(sqrt(99) - sqrt(11)) - (sqrt(2268) + -1)))**2*-3.\nAnswer: -99993\/4 + 207*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4*124\/12)\/(2\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -16, -21, -26?\n\"Answer: -5*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - 3*l)*(0 - 2 + 0 + 2 + 0 + 0 + (-2 + 4 + 0)*(0 - 4 + 2) + 1 - 1 + 3 + 8 - 5 - 7 - 4 + 4 + 1).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**4*y + 344*f**3*y - f - 1300*y - 1 wrt f?\nAnswer: 8*f**3*y + 1032*f**2*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, 2*r + 4*j + 201 = -231. Is -1 + 0 - r\/8 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - i = -7, -r - r - 1 = 5*i. Solve -6*z + 2*u - 23 = -3*z, 3*u = -2*z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -9, 1\/8, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 445357\/22 - (4\/(-8) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 349 - 348.8. What is the closest to 0 in -5, y, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 544*l - 488*l - 739 + 2363 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -607.463 - -608. Round n to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1484 in decreasing order.\nAnswer: 1484, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.72 in -1, -3, 0.3, 2\/7, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + o - 2 = -5*o + 14*c, -4*c + 3 - 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277691 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/12 + 5*s**3\/6 - 42*s. Let c(a) = a. Determine y(c(h)).\nAnswer: -h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -13. Let j be 94\/6 - (a\/(-9) - -3). Solve -j + 6 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 15*h**3\/2 + 29*h**2\/2 + 21*h\/2 + 5\/2.\nAnswer: (h + 1)**2*(h + 5)*(2*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 16. Let b be d(-7). Let y be 6\/b - 1242\/(-10). What is the remainder when y\/16*1*4 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (305 - 344) + (63 - -5).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Suppose -6 = -2*m + 5*k, m - 15 = -4*m + 2*k. Let n be 0\/(0 + -4 + m + 2). Solve w = 2*a - n + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 0*g**3 + 2*g**2 - 3\/4*g**4 + 1 + 0*g. What is the second derivative of j(s) wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 339 and 1243.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -4 - (0 - (-102 + 91))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2. Let n(f) be the third derivative of 0*f**4 + 0*f + 0 - 3\/10*f**5 + 0*f**3 + 95*f**2. Give n(p(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2510330 (base 7) to base 8\nAnswer: 1164556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000097852754 to 7 dps.\nAnswer: -0.0000979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:28 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 1133138*r**2 + 1133132*r - 2266272.\nAnswer: 2*(r - 1)*(r + 2)*(r + 566568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 23 - 1 = 0. Suppose l*v + 3 = 3*v. Is -1 + 15 - 3\/v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (7 + (-11 - 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 4605688 = 4*c - 1433899. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/248 + (-77)\/4092?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 27593*x**3 - 205*x + 205. Let t(j) = -541*j**3 + 4*j - 4. Determine 4*n(u) + 205*t(u).\nAnswer: -533*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z - 7. Let b be g(0). Let s be ((-14)\/10)\/b + 48\/10. Solve 0 = 3*p + 4*k + 15, s*k - 2 = -17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434596 divided by 108649.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 33)*(46*u**2 - 11 + 11) as q*u**2 + n + a*u and give q.\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39321404?\nAnswer: 2, 9830351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/9, 0.4, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 7*o + 6. Let u = -136 - -143. Let z be i(u). What is the third derivative of -12*n**2 + n**5 + 56*n**6 - 65*n**z - n**5 wrt n?\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + sqrt(176)*-2 + 1 + sqrt(176) - (sqrt(11) - (sqrt(11) - -3*sqrt(11)*-3) - -4*(sqrt(11) + -4))))**2.\nAnswer: -578*sqrt(11) + 3468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -162 - 20135?\nAnswer: -20317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 3*o**2\/2 + 67. Let w(p) be the third derivative of -6*p**2 + 0 + 0*p + 0*p**3 + 1\/15*p**5 + 0*p**4. Determine g(w(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(30 - 29) - (1 + -94)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(70)\/sqrt(63)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3032*h - 3086*h = 324 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haaahaaaaaaaaahaaaaa. What is prob of sequence hhh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 820*z**2 + 3. Let f be w(-6). Suppose -15*a + f = -3132. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -213\/8*v - 23\/8*v**3 - 139\/8*v**2 - 9\/8.\nAnswer: -(v + 3)**2*(23*v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0 - 8. Let s be 11 - (a\/1 - 0). Let n(x) = x**3 - 8*x**2 - 8*x - 1. Does 8 divide n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:17 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -93934.0711 to the nearest 1000.\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (6\/16 - (-51)\/408)*3354 and 516?\nAnswer: 6708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*d - 32, -3*d - 20 = 4*r - 2*d. Let l = 5 + r. Let j(m) = m - 1. Give j(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 5*w - 4*w)*(2*w - w + w) + (-w - 3*w + 2*w)*(95 - 33*w + 36*w - 5*w) to the form g + n*w + j*w**2 and give n.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -58, -112, -182?\n\"Answer: -8*o**2 - 14*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105771*x - 107067*x - 103680 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c**(-1\/13)*c))\/(c\/c**(-6\/11)*c*c\/c**(-10\/9)) assuming c is positive.\nAnswer: c**(-7181\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 20*c - 60. Calculate the remainder when 237 is divided by (c*1)\/(13 + 788\/(-60)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -68*i + 6. Let z(s) = 2379*s - 208. Give -104*u(c) - 3*z(c).\nAnswer: -65*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/36 and 131\/340.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-20)*z**(-13)\/z)\/(z\/z**(-1\/14)*z*z**7*z))**(-2\/79) assuming z is positive.\nAnswer: z**(603\/553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13971, 13917, 13827, 13701, 13539, 13341, 13107?\nAnswer: 12837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*f - 440*f - 153 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 8, b: 5}. Give prob of sequence kbb.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppoqqp. What is prob of sequence qpqp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/20281770 and -31\/33802950.\nAnswer: 101408850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let d be 5\/10*126\/c. Suppose 0 = 2*g + g - d. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011227 to seven dps.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8442.196l in millilitres?\nAnswer: 8442196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(51\/119)*2231.\nAnswer: 7, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8222, 3, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*v - v. Let j(p) = p - 2. Let b be j(v). Let n be (4\/(-54))\/(1\/b). What is the closest to 1\/3 in n, 0, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 124388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21502367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619771 is divided by 1919.\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d - 14. Let z(c) = 5*c + 6. Determine 3*x(a) + 5*z(a).\nAnswer: -5*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3370000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {c: 2, g: 2, k: 3, b: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20955 = 488*y + 332*y + 376*y - 1361*y for y.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((4 - 5) + 0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119 or 114?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 6*f + c = 1298, 2*c + 2178 = 5*f. Let y = f + -413. Solve -y = u - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (-5*(sqrt(1573) + 1) - sqrt(1573)))**2 + sqrt(1573) + -4 + (1 + sqrt(1573))**2 + -3 + -4 + 3.\nAnswer: 803*sqrt(13) + 78668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 5*m**2 + 25*m - 100. What is the smallest common multiple of c(6) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117)*1 + (sqrt(117) + (sqrt(117) - 2*sqrt(117)) + sqrt(117))*6)\/((sqrt(576) - 1*sqrt(576))*4 + sqrt(576) - (sqrt(576) - sqrt(576)*-1)*4).\nAnswer: -sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110 + -10000?\nAnswer: -1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1342*w + 4163*w - 1413*w - 1412*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5257 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*t + 205*t = 840. Let r = t - 168. Sort -1\/5, r, -0.09, -3 in increasing order.\nAnswer: -3, -1\/5, -0.09, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5138068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.545 + 0.145. Let p = i - -16. Let f = 5 + -6. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122578.18266 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6304*f**2 - 27*f + 90. Is 39 a factor of p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1\/3)\/(84\/(-648))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 101*v**2 + 84*v + 262. What is the hundreds digit of t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8102*f**3 - 6*f**2 - 25*f - 141. Let v be w(31). Round v to the nearest one million.\nAnswer: 241000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593*x + 587*x = -942. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -868, 9, -1, -3\/2, -1\/7, 17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**3 + 0*b**4 + 11\/60*b**5 + 0 - 8*b**2 - 1\/120*b**6 + 0*b. Find the third derivative of g(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145369393 to the nearest integer?\nAnswer: 12057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 + 5 - (2 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**26\/r)\/r)\/r)**(-1)\/(r**30\/(r\/(r\/((r**(-1\/2)*r)\/r*r)))) assuming r is positive.\nAnswer: r**(-107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -980 divided by -196\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 435*a + 3360. Determine k(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10372841?\nAnswer: 19, 545939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48 + -0.28. Sort r, -2, 13\/5, 1.\nAnswer: -2, r, 1, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8044*b**2 - 72539*b + 1285. Determine h(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 93. Let w be o(0). Let j = w + 161. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/19096 and 9\/968?\nAnswer: 210056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 28. Let o be k(13). Solve 4*w - o*t = 2*w, -3*t - 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d + -15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5030 (base 6) to base 8\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33112024223 - 2?\nAnswer: -33112024230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 9735 = 5*f, 5*k + 12241 = 5*f + 2541. Suppose 5*a - f = -2*h, 4*a - 1579 = -23*h + 26*h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708720492 to the power of 1\/2, to the nearest integer?\nAnswer: 26622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/85, 2, 1, -47, 21?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6504 - 2.80107. What is l rounded to three decimal places?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(5 + 6*sqrt(13)*-3).\nAnswer: -54*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2595, 3422, 4249, 5076, 5903?\nAnswer: 6730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*m + 104*d - 540 - 378 = -216*m, 0 = 10*m - 5*d + 105 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -116089100?\nAnswer: -1\/23217820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 60?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - a - 40 = 0, 0 = -42*q - 42*a + 40*a - 386 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694)*2)\/((sqrt(18)*-1 - sqrt(18))\/sqrt(9))*2.\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6580625 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d7 - -269?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.86 + -16. Let s = -0.14 - h. Let w = -0.1537 - -0.5537. What is the smallest value in -2\/9, s, 1, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013461326 rounded to five dps?\nAnswer: 0.01346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2877280 and 1260.\nAnswer: 25895520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 44 (b) -212 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -11. Suppose -2*d = -0*d + u. Let y be (-1 - d\/2) + 0. Which is the third smallest value? (a) -5 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*v - 2 = 0, 4*b + 69*v = 65*v + 5 - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 158*w - 4. Let v(b) = 79*b - 2. Let i(j) = 4*h(j) - 7*v(j). Is i(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 419.\nAnswer: 11732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Let j(v) = 20*v**2 - 138. Let t(m) = -13*m**2 + 90. Let o(a) = -5*j(a) - 8*t(a). What is o(h(s))?\nAnswer: 36*s**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.2 + 1.8. Let r = 4852631.99997 - 4852652. Let b = i + r. What is b rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n**2 - 1. Let u be w(1). Suppose 4*m - 2*k = 3*k - u, -m + k = 3. List the prime factors of m + 10 - (2 - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771881573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -38 + 32 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/33 (b) -0.29 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 5252?\nAnswer: -5250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5104905 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2. Let q(w) = -23*w**2 - 12. Give q(x(o)).\nAnswer: -92*o**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 10. Let o be g(-14). Suppose -3*u - 2*p = -328, 2*p + 217 = o*u - 211. Suppose 4*x + 0*x = u. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/11445 and 45\/3800503?\nAnswer: 57007545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-192) - (7\/(-21) - (-138)\/816)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 - 0 - (-6 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -18*j + 87. Let o(i) = -i**2 - 4*i. Give o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -244 and -609715392118.\nAnswer: -609715392362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Suppose 3*u + g = -2*x, 6 = -2*u + 2*x + 22. Solve 10 = -2*b + 3*z - z, 4*b = u*z - 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85647 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2782*d**3 - 3*d**2 + d - 17572.\nAnswer: 8346*d**2 - 6*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75108, 150192, 225276, 300360?\nAnswer: 375444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 302*c - 1. Give f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 7*l**2 + 4*l - 7. Give s(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.1 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 592, 1202, 2014, 3022, 4220, 5602?\nAnswer: 7162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.92 - 17. Let p = h - 0.14. Let t = p - -0.52. Is t >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2862?\nAnswer: 1\/2862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5968*w - 679785 = -717*w - 117928 for w.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 11\/2, -0.132 in decreasing order.\nAnswer: 11\/2, -0.132, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -4*u + 4*i - 9, 5*u - 4 = -3*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.684 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(324) + sqrt(28) + 1*sqrt(700))\/(-6*3*(sqrt(100) - (sqrt(100) + 2*sqrt(100)))).\nAnswer: 37*sqrt(7)\/1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhdvvhwwwhwhvwhh. What is prob of sequence wdh?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 7\/2)*2. Let a(z) = -z - 7. Let t be a(-4). Suppose 4*u + u = -25. Sort u, n, t in ascending order.\nAnswer: u, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b + 53. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x - 456. Let w = 412 + x. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-10)*-90?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 2*r + 1\/60*r**6 - r**2 + 1\/45*r**5 + 0 - 2\/9*r**3 - 1\/12*r**4. Let u(a) be the first derivative of g(a). Factor u(n).\nAnswer: 2*(n - 1)*(n + 1)*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0597 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32402293 by -2945663.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-2379)\/1508)\/61)\/(4*27\/32)\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 + 9 - -80) + -102?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 37*u + 117047 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65128, 65133, 65152, 65191, 65256, 65353, 65488, 65667?\nAnswer: 65896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 0, -3, 17 in increasing order.\nAnswer: -10, -3, -2, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1630 - 260*l - 10*l + 1630 to the form o + r*l and give r.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + 6*u**2 - 249*u + 7. Let w(f) = f**3 + f**2 + f + 1. Calculate -q(z) + 6*w(z).\nAnswer: 2*z**3 + 255*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.61687 (b) -6 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 1707067422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*a = -154696, -5*d = -5*a + a - 193371. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5 - 10*w**4 - 6*w**3 + 26*w**2 + 20*w = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s - 2*s + 3*s + 3*s. Let m(i) = 2*i**2 - 105. Determine x(m(t)).\nAnswer: -6*t**2 + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4401130 - -22203?\nAnswer: 4423333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18426811309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5588363*d**2 + 5*d**3 - 2*d**4 + 0*d**4 + 64*d - 5588365*d**2 - 1 in the form s*d**3 + u + a*d + w*d**2 + j*d**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 734*s + 734*s to j + l*s + d*s**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23284 - -23283.9. Let x be (-2)\/6 + (-337)\/(-1020). Are k and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = i - 15, -5*i + 23 = -0*z + 3*z. Let r be 11 + (-4 - -9) + 8. Solve -i*j = -j + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.23 (c) 0.038 (d) 0.5 (e) -0.1 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + z + 4*z - 15 = 0, t - z = -3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x**3 + 3*x)*(-1692*x - 1 + 836*x + 843*x + 3*x**2).\nAnswer: -3*x**5 + 13*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41339731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -599434 and 0.5.\nAnswer: -299717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 1813797271.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135516671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = 2*j - 21, 3*j - 69 = -3*h. Solve q + 2 = d - 0, 5*q + j = d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 4*g - 7*g + 33 - 5 + 0*g. Let x be y(8). What is the greatest common divisor of 32 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.9 * -14.3.\nAnswer: 384.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 y when four letters picked without replacement from yycyyyccccyyyyyyyy.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrox when four letters picked without replacement from {r: 1, x: 1, o: 2, j: 2, q: 4}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**2\/3 + 16384382*t\/3 + 16384384\/3 = 0?\nAnswer: -1, 8192192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, w: 2}. Give prob of sequence jwjj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10142?\nAnswer: 2, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a meter in centimeters?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 184\/11 (b) 1\/2 (c) -1 (d) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8262655 millilitres to litres.\nAnswer: 0.0008262655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 1:55 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2 + q - 1 + 3*q. Let p be o(2). Let i be (3\/((-27)\/(-6)))\/(1 + 42\/(-9)). Put 3\/4, p, i, 4 in ascending order.\nAnswer: i, 3\/4, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360253, 360229, 360229, 360265, 360349?\nAnswer: 360493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and (60\/18 - 6)*(-135)\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17596)\/(-6)*(-5 - -11). Suppose 2*s - w = -2*s - k, -s + 3*w = 4399. Let f = -9399 - s. What is f rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 3156*d + 92 + 8432*d.\nAnswer: 5276*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29656461*a*x**3 - 1597*a*x**2 - 5510*a*x - 2*a - 2 wrt x.\nAnswer: 177938766*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 - 760566*j\/7 - 25862712\/7.\nAnswer: 3*(j - 253556)*(j + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24*r. Let g(l) = -1267*l**2. What is c(g(v))?\nAnswer: -30408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.5 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475861408.\nAnswer: 2, 11, 31, 43609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-86)\/(-8) + (-9)\/12. Let v = r - 2. Suppose -4*l + v + 12 = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkykfycfykkfffwcf. Give prob of sequence kfw.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1350\/(-350))\/(58\/7) and -21\/145.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 10*x + o = -1007, 0 = -x - 2*o + 254. What is the lowest common multiple of x and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2252694298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 368647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + (-30)\/7. Let m = 339 + -573. Let j = 237 + m. Which is the nearest to j? (a) -1 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3409\/121164 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499866 is divided by 374865.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257 + 849 = 445*v + 3505 + 537 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4 - 27344*j**3 + j**2 - 8*j + 724 wrt j.\nAnswer: -48*j - 164064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhzhvvhzzhzzzz. What is prob of picking 1 h, 1 z, and 2 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21651 divided by -7217?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 n when three letters picked without replacement from znznnnpzzn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12433*c*d**3 + 32*c*d**2 - 5*c*d + 2*c - 112*d**3 + 866 wrt d.\nAnswer: -74598*c - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3\/19 - 218*p**2\/19 + 92290*p\/19 + 474750 = 0.\nAnswer: -225, -95, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 15. Let w = -58 + 83. Is 10 a factor of y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/7 and -52\/229733.\nAnswer: 229733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1491 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t**2 - 2*t**2)*(-4*t + 2*t + 0*t) + (3 - t - 3)*(-3*t**2 + t**2 + 7*t**2).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 5*a**6\/24 + 29*a**5\/6 + 65*a**4\/2 - 60*a**3 - 2*a**2 - 9*a + 23. Let t(o) be the second derivative of m(o). Factor t(r).\nAnswer: 5*(r + 6)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15843385*z**2 + 870*z + 5970 wrt z.\nAnswer: 31686770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 628595 divided by -5\nAnswer: -125719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u + 180. Let z be 3\/u*-2 - 25\/(-6). Solve 4*h - 16 = 0, 3*h - z = -d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/((-26)\/(-4)). Let i be 3 + -1 - (0 + 2). Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 3. Let m = -43 - -39. Let s(h) = -4*h + 6. Give m*s(d) - 9*j(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377755 is divided by 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -28, -36, -42, -46?\n\"Answer: p**2 - 13*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -410*k**5 + 36*k**4 + 4581*k**3 - 13007266*k**2 - 17?\nAnswer: -24600*k**2 + 864*k + 27486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104467 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 59?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5036.636 tonnes?\nAnswer: 5036636000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 5*b**2 + 5*b. Let d be v(4). Suppose -l + 4*w - 4 = -19, d*l = -4*w. Solve z = -0 - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 194\/5 + ((-42)\/15 - -3). Suppose 0 = h + 2*h - l. What is the greatest common factor of 143 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + (0 - 42\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - 9) + -41 + 48 + -3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/32 (b) 5\/12 (c) 3\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = 2*t + 4, -10 = -5*o. What is the units digit of 337*t\/18*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 at most as big as -559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35, 67, 99, 131, 163?\n\"Answer: 32*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403450, 806901, 1210352?\nAnswer: 1613803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -11) + (4 - (7 - 3))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 83\/4. Let g = -0.2 + 0. Which is the second biggest value? (a) q (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.3, 0, 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 29 - 39 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187044, 746761, 1679616, 2985603, 4664716, 6716949, 9142296, 11940751?\nAnswer: 15112308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 1, k: 2, c: 3, p: 3}. Give prob of picking 1 l, 1 k, and 1 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8532.982 nanograms?\nAnswer: 0.000000000008532982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -2*s + 2*a, -3*s + 7*s = -a + 800. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261373.6 micrometers to nanometers.\nAnswer: 261373600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 33450000 to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 23118546073703.\nAnswer: 23118546073699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*u = 17, -20 = -1514*c + 1510*c - 4*u for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jmgjmjxmjx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 210637317931 + -2\nAnswer: 210637317929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 16\/6)\/((-97)\/59655)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -q + 5*g, 0 = q + 6*g - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270519 > 3270517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 14190 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681 is divided by 420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -17*r - 13. Suppose 0*x + 130 = 5*x. Let t(s) = 2 - 4*s - 1 - 4. Let w(g) = x*t(g) - 6*k(g). Let y(d) = 3*d**2. Calculate w(y(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.72 - 0.72. Let g = 44 - z. Are -0.1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*d*k**2 + 6*d*k*q - 4*d*q - 2*k**2*q + 2*q wrt k.\nAnswer: -36*d - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186987*w + w**2 - 188628*w + w**2 to the form v*w + p*w**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 14*n = 60 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 0)\/(14\/119). Suppose -215 = -t*z + 12*z. Suppose -z = -4*w + 117. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13507?\nAnswer: 13, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 14 + 15)*(-6 + 1 + 4)*(10*s + 27*s + 8*s)*(2*s + s + 2*s)*(3 + 2 - 6).\nAnswer: 4050*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104854.\nAnswer: 2, 103, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 25*t - 9. Let a(f) = -f + 14. Let r(p) = 4*p - 22. Let z(u) = -3*a(u) - 2*r(u). What is 2*n(d) + 11*z(d)?\nAnswer: -5*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 18814. Let c be q(0). Let f = c + 451627\/24. Let p = -1278181\/470112 - -2\/14691. Calculate the common denominator of p and f.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**3 + 339889*y**2 + 254919*y = 0.\nAnswer: -3\/4, 0, 84973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 914\/14 + (-6)\/21. Calculate the greatest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 13. Let u be j(9). Find the common denominator of (-3 - -3) + u\/8 and (-646)\/2516*(3\/(-9))\/((-6)\/18).\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 511 + -5?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/3*(-228)\/8. Let j = -153\/4 - i. Which is the nearest to 1\/2? (a) -6\/7 (b) 6\/19 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*b + 33, 3*b - 3*m - 19 = -2*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.296\nAnswer: -0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282, -561, -838, -1113, -1386?\n\"Answer: z**2 - 282*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**2 - 7*h - 3. Suppose 5*n + 12 = 52. Is v(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8206.\nAnswer: 2, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4.9, -3, -1\/2, 2\/11?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/9 - 406*t**3 - 22010*t**2\/9 + 8554*t\/3 = 0. Calculate t.\nAnswer: -7, 0, 1, 1833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2072, -1709, -1104, -257, 832, 2163, 3736?\nAnswer: 5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(70)\/(sqrt(14)\/sqrt(2))))\/(sqrt(192)*1 - sqrt(9)\/sqrt(3)*-4).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27879292373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335431555*r**4 + 135540*r**2 - 896 wrt r.\nAnswer: 8050357320*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 646\/9 - 72. Let b be 8\/(-30)*6\/4. Let z be (4\/(-18))\/(4\/6). What is the closest to b in -0.2, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28126117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/1482180 and 24\/85?\nAnswer: 25197060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 403.3 times -22?\nAnswer: -8872.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6815359*n*w**2 - 5610594*n*w wrt w.\nAnswer: 13630718*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -3)\/(1220\/(-1403))\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 575 - 4023\/7. Factor 4\/7 + w*i**3 - 2\/7*i - 4\/7*i**2.\nAnswer: 2*(i - 2)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1929469 to the nearest 10000.\nAnswer: -1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8798 = 4*s - 11630. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11024 and 39650966?\nAnswer: 39661990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 0, -3*g + d + 14 + 53 = 0. Suppose 3*x + 5*n + 3 = -g, -3*x = 2*n + 10. Does 25 divide (x + -2 - -31) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 + 13?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14*c**(1\/7)*c*c\/(c\/c**(-2))*c**(-8))**(-1\/55) assuming c is positive.\nAnswer: c**(-36\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-94109)\/(-6) + (-29)\/(-174) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24236270 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = l - 3*p, -219 = 4*l + 5*p + 292. Let n be (-4)\/(-40)*-6 + l\/(-15). Solve n + 4 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21437 is divided by 1128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*(1 - -5)\/(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 4. Suppose 0 = 4*u + 12. Let w be h(u). Let j be 2\/(-18)*18\/(-21). Which is greater: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 245, 8, 0.8, 5, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24178191 a multiple of 701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7147162787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - x - 5 = -l, -2*x = -l + 8. Let t(h) = 8*h**l - 3*h**2 + 10*h**2 - 5*h**2. Let y(g) = g. Determine t(y(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 59, 62, 65, 68?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 - 27*o.\nAnswer: -o*(o + 135)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:20 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*b - 68*b - 2 - 31*b)*(b - 4 + 4) + (0*b + 5*b - 2*b)*(-4 - 279*b + 5 + 117*b) to p*b**2 + k + x*b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1277 + 0.02.\nAnswer: 1277.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 875 = 5*j, t - 4*t + 727 = 4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/656 and 11\/15252.\nAnswer: 61008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/28)\/(278\/973).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + -20. Let k = i + 77. What is the closest to 0.3 in 0.1, -0.3, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 53*r**2 + 3*r**3 - 2*r**3 - 152 + 157. Let z be i(-53). Solve 5*y = 4*y + b + 3, -z*y = b + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -1093 - 95. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sevenths of a week in hours?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 60.9.\nAnswer: -243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 5560.\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 - 6*l**3 + 3*l**2 + 4*l + 1802320*l**4 - 1802317*l**4 - 1 as a*l + z*l**3 + s + c*l**4 + r*l**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 - 3372*g**2 + 6696*g + 26912 = 0. Calculate g.\nAnswer: -2, 4, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 119, 232, 341, 446, 547, 644, 737?\n\"Answer: -2*j**2 + 119*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*d + 4*d + 12, 3*b + 4*d - 12 = 0. Suppose -5*h - 2 = -32. Suppose -2 = h*g - 5*g. Sort 10, b, g, -1 in ascending order.\nAnswer: g, -1, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(4\/((-4)\/1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmwllmlfllcflocll. Give prob of picking 1 l and 2 w.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(343) + 0 + -4 + -2*sqrt(343)*6 + -5)*6)**2.\nAnswer: 49896*sqrt(7) + 1497026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:08 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 424283 divided by -6\nAnswer: -424283\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121982509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73139172 and 828?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800.866m in centimeters?\nAnswer: 280086.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -58 (c) -21 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 489325 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320 + -4 + 11 + 9.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*m**2 + 45*m**2 + 61*m**2 + 48*m**2 + 46*m**2 + 72 - 13.\nAnswer: 2*m**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 y when three letters picked without replacement from {k: 3, m: 5, y: 2, h: 4}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 - 5*c. Let s be y(-6). Is (-20)\/s*6\/4 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 239, 214, 167, 98, 7?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - (5 + -5)) + -7 - -5) + 1 + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 23*a**2 - 2*a + 5. Let s(r) = -20*r**2 + r - 4. Determine -4*m(g) - 5*s(g).\nAnswer: 8*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(12\/(-9)) - -19. Suppose 0*y - 3*k - 4 = -y, 3*y - 2*k = -n. Is (20\/y + 2)*-934 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.8, -3\/2, 214588, -4, 1\/2, -5?\nAnswer: 214588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308.2 - 0.1.\nAnswer: -308.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 + 162. Let o be q - (-24 - (12 - 6)). Calculate the highest common factor of 384 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/165*(0 - 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 316.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 32*f - 20 - 41*f + 3. Calculate the remainder when z(-8) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from hoohhhhhhhhhhho.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 0, 389 = 3*r - q + 5*q. What is the first derivative of 61 + 8*g - r*g - 2 + 13*g wrt g?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 4*n**2 - n - 5. Let b be r(-4). Let u(l) = -7 - 18 - 15 - 84*l + 43. What is the units digit of u(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -3\/4, -1\/6, -3\/7, 2018, 20\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 7287*k**2 + 5447114*k - 5447114*k)*(0 + 3 - 1).\nAnswer: 14574*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71bb (base 16) to base 8.\nAnswer: -70673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.53 + 1.55. Let p = -121.4 - -121. Which is the fourth biggest value? (a) 0.3 (b) r (c) -0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322 (base 4) in base 8?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5*v + 9. Let t be y(6). Suppose -4 = -4*i + t*i. What is the remainder when (1 + i)*1404\/65 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 37 (b) 0.0058 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 3*s**2 + s + 2\/3*s**3 + 2. Let y be c(-4). Solve 5*v - 2*v - y = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d - 3*o - 5 + 35, -4*d + 8 = 4*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -73\/2? (a) -5 (b) -1\/7 (c) -0.025 (d) -5\/6 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3602438 divided by -3602438.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -361, -373, -385, -397, -409, -421?\n\"Answer: -12*n - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23881\/11262510 - 1\/5454. Find the common denominator of -89\/4130 and z.\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -1 (c) 1\/2 (d) -0.5 (e) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (sqrt(56) + sqrt(3584)*1))\/(sqrt(72)\/(sqrt(1089) - sqrt(9))).\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4445 and -0.5.\nAnswer: -2222.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/15 and -37\/5649.\nAnswer: 28245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.4141 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 15*q = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/8 - 16457*h\/4 - 270832849\/8 = 0.\nAnswer: -16457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d - 1\/90*d**5 + 1\/504*d**8 + 0 + 0*d**3 + 1\/315*d**7 + 0*d**4 - 43*d**2 - 1\/180*d**6. Determine y so that w(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 221743, 443485, 665233, 886987, 1108747, 1330513?\n\"Answer: 3*v**2 + 221733*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = -5*v - 3*l, 11 = -v - 4*l. Let u(i) = -i - 7. Let j be 4\/14 + (-153)\/21. Let x be u(j). Is x > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-2)*2\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f**2 - 96*f - 98. What is the remainder when 2673 is divided by r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 498 - -43. What are the prime factors of o?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-4635)\/(-20))\/((-3)\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 57. Let y = -86 - g. Let a = y + 38.6. Which is smaller: a or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 26564?\nAnswer: 26556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 313400 a multiple of 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.6. Let m be (-33)\/63 - (3976\/392 + (-9 - 1)). Which is the third smallest value? (a) m (b) 0.1 (c) q (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.6. Let p = 17\/1365 + 11\/91. Which is the nearest to 2? (a) r (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w - 10 = 0. Let y = -14 - -13. Let a = y - -5. Is w bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6733820 + 1?\nAnswer: -6733818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5111 is divided by 106.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32875 + -32865. Suppose 0 = -2*z + i - 77 + 309, -2*i = 3*z - 334. Suppose -f*k + 12*k + u = 54, z = 4*k - u. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - 0.1. Let s = -3 + 3. Let t = s - y. What is the closest to 1 in 0.5, t, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -69*p**2 + 22 + 18*p**2 - 117*p + 36*p**2 + 14. Let x(s) = -4*s**2 - 29*s + 9. Let q = 30 - 35. Let l(v) = q*u(v) + 21*x(v). Factor l(m).\nAnswer: -3*(m + 3)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173207 (base 10) to base 14\nAnswer: 4719d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (18 + -30)*(-2)\/2 and 186.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwwt when four letters picked without replacement from ttwtwtwtfwttt.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 11 = 2*y + 6, y - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 1\/20, 0.07?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*q - 209. Suppose -5*r + 0*r + 4*h = -66, -h - q = -3*r. Suppose -r = k - 165. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 28 = -68. Solve u = -3*s - 7, -4*u + 2*s - 5*s = -t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 987, 989, 991, 993?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 264513 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*u = -1767*u + 651*u - 93771 for u.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 13*h - 50. Suppose 0 = -3*b + n - 46 + 68, -4*n = 5*b - 31. Determine a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 1901 - 2*k**2 + 7*k**2 + k**2 - 6*k**2 as a*k + d + c*k**2 and give d.\nAnswer: -1901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18382319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -32 (b) -0.5 (c) 0.5 (d) -6.9 (e) 0.9 (f) 6 (g) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0 - 12. Suppose -g = 2*a - 1, 5*g + y*a = 7 + 4. Suppose -l + 13 = -0*l + g*s, 3*l + s = 15. Is 24\/5 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 45*x - 152. Give b(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 70 = -2*x. Let u = x + -15. Let j = 28 + u. Which is smaller: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 68*k**5 + 458*k**4 - 118588*k**3 - 120384*k**2 + 594360*k - 355914 = 0. What is k?\nAnswer: -1521\/34, -3, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o. Let p(l) = l + 4. Let q be p(-2). Let h = q - 0. Let d(j) = 2*j**2 + 2*j**h - 5*j**2. Determine z(d(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -227, -281, -335?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 791671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7549565508 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -4\/3 in decreasing order.\nAnswer: 0, -4\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 733485 divided by 535.\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 6199, 4 in descending order.\nAnswer: 6199, 4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5265 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-60)*(-7)\/(63\/(-108)))\/((-94)\/(-235)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/5)\/((-1)\/(-70)). Suppose p = 4*x - 0*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3156825 + -285?\nAnswer: -3157110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 14. What is the lowest common multiple of 130\/14 + 4\/(-14) and p(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2739, -2\/41, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-2) - -1) + -4. Sort -4, -5, d in decreasing order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 217*d**3 + 8*d**2 + 235*d - 8. Let v(x) = 216*x**3 + 6*x**2 + 235*x - 6. Let o(s) = -3*f(s) + 4*v(s). Find the second derivative of o(y) wrt y.\nAnswer: 1278*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + 60. Which is smaller: 144 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:19 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 6*p + 9)*(13 - 5 + 3)*(1 + 5 + 7) to the form i*p + v and give i.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1306 and -57\/177616.\nAnswer: 177616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 8*v**2 + 16*v. Let r(o) = -o. Let n = -2 + 3. Let a(u) = n*y(u) + 6*r(u). Let p be a(9). Solve 22 = -4*f + 2*z, -z - p = f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 - -111.9. Which is the closest to 65? (a) 2\/9 (b) 2\/13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q - 5*m - 33 = 0, 3*q = 2*m + 22. Let g(n) = -2*n - 4. Let w be g(-3). What is the second derivative of b**w + 3*b**3 - q*b - b**2 wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i**3\/2 - 10140329*i**2\/2 + 1126703*i = 0 for i.\nAnswer: 0, 2\/9, 1126703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1250 + -1253. Which is the second smallest value? (a) v (b) -686 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:20 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 422671 and 1587.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 35) + 0 + -2 + -11 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749176 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 14 = 5*d, -i + 4*d = -2*i. Let q = -22 - 47. Is q\/(-2) - i\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9152290 or 45761444\/5?\nAnswer: 45761444\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 0.6811 (c) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 56456049 and 56456049 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 3, i: 2, v: 1, a: 2, x: 4, k: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14538179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 743 = 46*q - 11 - 258. What is the greatest common factor of q and 2882?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 5)*(-1 - 1 + 5) - 1 + 0 + 6 - 5 + 3 + 0)*(6*w - 2*w + 11*w).\nAnswer: 135*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*v + 89 - 89 + (1 - 1 - 2*v + 2*v + 3*v - 3*v + (-2 - 1 + 1)*(4 - 4 - 2*v))*(0 + 0 - 2) in the form w*v + r and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137635 = 8*w - 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3\/4 - 9212365*i**2\/4 - 18424715*i\/4 - 9212355\/4 = 0.\nAnswer: -1842471, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 151 + -5?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 114136*l\/5 + 1628378312\/5.\nAnswer: 2*(l - 28534)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*l - 2*l, -5*l = -4*b. Suppose -5*y + 105 = -b*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - d + 3, 4*z - 5*d = 3 - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005964571052 rounded to seven decimal places?\nAnswer: -0.0005965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 5, 30, 4 in decreasing order.\nAnswer: 30, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, -0.5, 0.5, 82\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = k - 4573, 2*i - 5*k - 9149 = -8*k. Suppose i = 17*c + 660. Calculate the remainder when c is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 176 = -4*c + 527, 5*f + 2*c - 353 = 0. What is f rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2468558 divided by 3.\nAnswer: -2468558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -12, -6, 0?\n\"Answer: 6*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128 * -18238.\nAnswer: 2334464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 14*u - 16. Let a be z(13). Let s(i) = -i**3 - 5*i**2 - 4*i - 1. Determine s(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108 and -0.5?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:02 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -631 - 1713592?\nAnswer: -1714223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 12*x**2 + 17*x + 10. Let b be w(-4). Solve -2*r - 20 - 4 = 5*p, -3*r = -3*p - b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 + -0.067. Let l = 0.062 - u. Let s = 2.021 + l. Which is the closest to -1? (a) 0.2 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - 18?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.385846m to centimeters.\nAnswer: 838.5846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 2. Let m be a(4). Find the common denominator of 9\/14 and 2*-1 - (-189)\/m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6 - -8.6. What is the third biggest value in 0.03, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -234, -929, -2096, -3741, -5870, -8489, -11604?\n\"Answer: -y**3 - 230*y**2 + 2*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b**2 - b + 5. Let o be t(0). Suppose 3*c - 2 = -4*u, -5*c = 9*u - 4*u - o. Let g = -251 - -247. What is the third biggest value in g, -0.3, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 688114 and 456274?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 304 and 454189307?\nAnswer: 454189003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 2*b**2 - 3*b**2)*(-18 + 9 + 68) in the form d*b + u + a*b**2 and give a.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - 1909. Let z(n) = -89*n**2. What is x(z(g))?\nAnswer: -31684*g**4 - 1909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9645 - -9660. Solve -35*i + j*i = 60 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 13*p + 12. Give w(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(3\/(-18351)). Let y = 24529\/6 - s. Let b = -733\/7 - -101. Find the common denominator of b and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*c**2 - 75*c**2 - 77*c**2 - 68*c**2 + 303*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66, 122, 168, 204, 230?\n\"Answer: -5*o**2 + 71*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1620 and 12?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**7\/2520 - j**6\/720 + j**4\/8 + 5*j**2. Let n(s) be the second derivative of l(s). Find the second derivative of n(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -493 by 7.\nAnswer: -493\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*y = -155*y - 3248. Do -60 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/17)*l)\/l)\/l*l\/(l*l*l**(-2\/11)) assuming l is positive.\nAnswer: l**(-351\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -1)**2*1.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3443.95 minus -4202290790?\nAnswer: 4202287346.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 983836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -775651152 divided by -6?\nAnswer: 129275192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -45047683.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**15)\/(n*n\/((n*n**(-1\/9))\/n)))\/((n**0*n*n*n)\/n)**(-2\/11))**(-4\/3) assuming n is positive.\nAnswer: n**(6236\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.62 + 0.08. Let j = 1 - s. Let p = j - 0.8. What is the biggest value in 1, p, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 478*a + 460*a**4 - 460*a**4 - 50*a**5 wrt a.\nAnswer: -1000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 157.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (24 - -12) + -50 - (4 - 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 882 + 882.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, j: 1, f: 1}. Give prob of sequence jfa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93447645 to the power of 1\/2, to the nearest integer?\nAnswer: 9667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(168\/1916) - 2 - (-12)\/(-72)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82\/21 - -25\/7. Which is the second smallest value? (a) z (b) -34 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:44 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11965+5.3\nAnswer: 11970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 3*j**2 + 6*j + 6. Let g be x(6). Let k be 2 - g\/3 - 2. Suppose -t = 5*l - 342, -3*t = -l - 32 + k. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6722 from 16362388.\nAnswer: 16369110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 3*u - 58*u - 7)*(-2*u + 4*u - u) as l + q*u + a*u**2 and give a.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -8, -c + 2*c + w + 7 = 0. List the prime factors of (-15)\/c - (-2 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 30 = a. Suppose -11 = 2*y - a. Let n(m) = -m. Let k(v) = 4*v - 4. Let b(c) = -k(c) - 3*n(c). Determine b(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 1. Let y be g(1). Which is the third biggest value? (a) -3 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:30 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -39365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 + 1. Determine g(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -22 (c) -433\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**2 + 145*u + 25. Give o(21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 12. Let u(q) = 1. Suppose 2*p = -2*d + 2, 5*d + 0*d = -3*p + 11. Let m(c) = p*u(c) + v(c). Factor m(o).\nAnswer: -(o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*w - 23, -2*d - 3*w = -19. Suppose -o + d = -3. Let k be 3\/26*4\/3. Sort k, -5, o in decreasing order.\nAnswer: o, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*v + 2 = 0, 3*o + 789 = -5*v + 798 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**2 - 14*d + 12. Let p(z) = -5*z**2 - 15*z + 13. Let w(m) = -6*k(m) + 5*p(m). Determine w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + (sqrt(245) - (3*(-1 + sqrt(245)) + sqrt(245))) - sqrt(245))*-4)**2 + 5 + 0 + 0 + sqrt(245).\nAnswer: -2009*sqrt(5) + 35429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1094656 and -3?\nAnswer: 3283968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -282447300 to the nearest one hundred thousand.\nAnswer: -282400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let d(a) be the first derivative of 25*a**2\/2 - 14. Determine r(d(y)).\nAnswer: -625*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153435 and 24.\nAnswer: 1227480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2737 - 3.0633. Let o = -3.3 - q. Let w = 0.0370041 - o. What is w rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q + 780. Calculate the smallest common multiple of z(-36) and 63.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*g + 13 = 0, -z + 4*g + 23 = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2733204224.\nAnswer: 2, 113, 94483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 4*t + 38 + 10*t + 0*t + 12*t. What is the remainder when g(16) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 8*q + 4. Let f be l(5). Suppose -u - f = -12. Let m(s) = s**3 + 3*s**2 - 2*s - 2. Give m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11115822, -11115813, -11115804, -11115795?\n\"Answer: 9*y - 11115831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 5. Let v(w) = w**2 - 10*w - 5. Let q be v(10). Let h be s(q). Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 34*n = 17*n - 1035 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -33161 times 0.3\nAnswer: -9948.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*(1*(0 + sqrt(98) + -1 + sqrt(98) + sqrt(98) + (sqrt(98) + -1 - sqrt(98))*6) + -1) + 5))**2.\nAnswer: -120204*sqrt(2) + 311049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382112447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**2 + 2*v + 2. What is h(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96527020 divided by 5678060.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2. Let o(h) = -9*h - 6. Let n(p) = -p - 1. Let j(t) = 6*n(t) - o(t). Determine j(v(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4478044 (base 9) to base 7\nAnswer: 26342125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 4*l**2 + 11*l + 5. Give y(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2300*q = 2308*q - 674008. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+-225\nAnswer: -226.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1763*d**3*u - 148*d**3 - 2*d**2*u - 14*d**2 + 4*u wrt u.\nAnswer: -1763*d**3 - 2*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 330280462*a - 27271295894733361 = 0.\nAnswer: 165140231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k - 14. Let o be q(4). Let u = o + 16. What is the highest common divisor of u and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4)\/(((-1023)\/(-110))\/31).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a**5 - 1955*a**4 + 4565*a**3 + 2580*a**2 - 900*a = 0. Calculate a.\nAnswer: -2\/3, 0, 1\/4, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -17 - (0 - (-10 - (0 + -4))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 110.9?\nAnswer: 33.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3699.6 and -0.2026.\nAnswer: 3699.3974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 4041?\nAnswer: 4024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1)\/(12\/(-62)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 36 - 29 = 3*i, 2*i - 2*o - 10 = 0. Let j be (6\/4)\/((-7)\/(-2)). Which is the second smallest value? (a) j (b) 5 (c) -2\/7 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4567163 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*m + 231165 = 91133 for m.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 6, 4, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167612976676 - 3*w**3 + 167612976676 + 72*w**3.\nAnswer: 69*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 100011000?\nAnswer: -100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -48, 34, 212, 522, 1000, 1682, 2604?\nAnswer: 3802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14706*c**2*v + 12*c - 28745157*v with respect to c.\nAnswer: 29412*c*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3380, -13489, -30336, -53921, -84244?\nAnswer: -121305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1297 divide 9422290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000054523 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/269094 and 56\/584229.\nAnswer: 351705858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f**3 + 1. Give l(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 - 2*n + 3 + (-5*n + 4*n + 2*n)*(0 + 4 - 6))*(5 + 0 - 3) to the form o*n + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjvvcvcvvvccojcjb. Give prob of sequence occ.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 - 7\/2. Let n = 7872\/5 - 1575. Let d = -101\/9 - -11. What is the third biggest value in v, n, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1800021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2733 in -1\/3, -20, 2\/121?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (24 - (29 - (10 - -11))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -2\/21*u**4 - 1\/630*u**6 + 8\/3*u**3 + 0*u + 0*u**2 - 6 - 2\/105*u**5. Let n(a) be the third derivative of f(a). Factor n(s).\nAnswer: -4*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h*p**4*x + h*p**4 + 2*h*p**2*x + 271*h*p*x - 2*h*p + 17*p**3*x wrt p.\nAnswer: 96*h*p*x + 24*h*p + 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)\/(((q\/(q**(-1\/3)*q))\/q*q)\/q))**21)**(-23) assuming q is positive.\nAnswer: q**(-1127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 10. Solve -17 = -4*x - 5*y, -y = -5*x + g + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r**2 - 70*r**2 + 240*r**2 + 141*r**2.\nAnswer: 336*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {i: 7, k: 2, w: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a + 5*m + 50, 3*a + 5*m - 33 + 10 - 14 - 4 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3244 - -3246. Which is the third smallest value? (a) 3 (b) -9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278896 times -817?\nAnswer: -227858032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141812 by 59.\nAnswer: -141812\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 140?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39393 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 840513.2 litres in millilitres?\nAnswer: 840513200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1108.8\nAnswer: -554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 3*b - 72 - 9*b - 3*b. Let f be v(-10). Suppose -23 + f = -5*h. Solve -5*c - 5*u + 6 = -9, u + h = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/(i*i*i\/((i\/i**(-2\/5))\/i))*(i**(-3))**(-21))**(-2\/17) assuming i is positive.\nAnswer: i**(-734\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26061 times -0.0245?\nAnswer: -638.4945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7101, 25008, 54853, 96636, 150357, 216016?\nAnswer: 293613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (7 + 14110\/(-15))\/(6\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/11 (b) 2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 - 0.5. Let t = -164 + 159. Which is the nearest to 0.07? (a) 3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -13*a**6\/60 + 7*a**5\/20 + 22*a**2. Find the third derivative of v(x) wrt x.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.98 + 56.8. Let r = 0.18 + v. Sort r, 0.2, -0.29 in ascending order.\nAnswer: -0.29, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 15. Let f be t(5). Let z be f\/(-45) + (-102)\/(-27). What is the second derivative of -18*w + 81 + 4*w**4 + 12*w**z - 81 wrt w?\nAnswer: 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91322\/37 - -2468. Let r = j + -7\/185. Let g = -12.2 - -8.2. Put r, g, -0.02 in decreasing order.\nAnswer: -0.02, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -1, -10, -21?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057025 times 1.216?\nAnswer: 0.0693424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41811 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-4\/23))\/(a*a**(-2\/27)*a) assuming a is positive.\nAnswer: a**(-62\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31\/10 - -7\/2. Let h = 0.052 - -0.048. Which is the nearest to h? (a) 0 (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3361118 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12645942 is divided by 271?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000112913 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -79186189 > -79186191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 16*n**3 + 12000 + 8*n**3 - 12011.\nAnswer: 29*n**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 7 = -5*i, -6 = -5*i - 0*i - u. Let w = 36 - 54. Is 2 a factor of (i - w\/(-8))*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112463050.\nAnswer: 2, 5, 7, 321323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 38 - 12 = 0. Which is the second biggest value? (a) 8\/5 (b) 2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u\/u**(-3)))**(1\/19) assuming u is positive.\nAnswer: u**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10044c (base 13) to base 11\nAnswer: -234572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 - 12 + 35*h**2 + 42*h**2 - 8*h - 28*h**2. Let g be w(-2). Factor 17*q**2 + 3*q**2 - 195*q**3 + 20*q + g*q**3.\nAnswer: 5*q*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1065*m - 76. Is k(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4*t)*(6605*t - 8707*t + 5494*t) to n*t**2 + x*t + o and give n.\nAnswer: 13568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80124 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let q(i) = -2*i**2 + 131*i + 4. What is q(z(m))?\nAnswer: -8*m**2 + 262*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n*v**3 + 24*n*v**2 - 22*n*v*w - 2*n*w - v**3*w wrt w.\nAnswer: -22*n*v - 2*n - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -76\/18451393 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/((-3)\/15). Factor 4 + w - 4 - w**a.\nAnswer: -w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6403*m**3*s**2 - m**3*s - 18*m**2*s**2 + 21295*m*s**2 - 7*s wrt m?\nAnswer: 38418*m*s**2 - 6*m*s - 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/53, 922, 4 in decreasing order.\nAnswer: 922, 4, 5\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 31\/1)\/(-4*1*3601\/14404).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m + 10 = 20*m. Let b(o) = o**3 + 5*o**2 + o + 7. Let y be b(m). Let x be 9\/(-12) - 9\/(-12). Solve y*g + 6 + 4 = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -47 (c) 1 (d) -22680 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 59 = -5*u - h, -71 = 4*u + h. Suppose 1854 - 1980 = -6*y. Let k = u + y. Solve -b = -3*w + 16, 3*b - 5*w = k*b - 26 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-47)\/((-235)\/12)*5\/3. Let d(b) be the second derivative of 0*b**2 + 5\/4*b**p + 3*b - b**3 - 3\/5*b**5 + 0 + 1\/10*b**6. What is w in d(w) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, y: 2}. Give prob of picking 1 y and 3 d.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 - 3*t**4 + 4*t**4)*(5 + 1 - 5) + (-231*t**3 + 192*t**3 - 520*t**3)*(-5 + 5 + 2*t).\nAnswer: -1120*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*d**3*w**2 - a*d**3 + 2*a*d**2*w**2 - 2*a*d*w**2 - 331*d**5 + 144*d**2*w**2 - 3*d**2 wrt d?\nAnswer: -24*a*w**2 - 6*a - 19860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1904.74 less than 0.13?\nAnswer: 1904.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 10:56 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2431310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0) + ((-32 + 16 - -22) + 7 - -58).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -213, -3\/5, 256 in ascending order.\nAnswer: -213, -3\/5, 5\/6, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -71*x**6\/30 + 42*x**2 + 38*x. What is the first derivative of f(y) wrt y?\nAnswer: -284*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32883.36ml in litres?\nAnswer: 32.88336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 260*x. Let h(y) = 47*y**2 + 6. What is w(h(v))?\nAnswer: 12220*v**2 + 1560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.02607, -0.35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -27457.245 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, -1\/4, -27, 0 in descending order.\nAnswer: 0.4, 0, -1\/4, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r + 0*r + 0*r)*(-3*r**2 + 0*r**2 + 4*r**2) + 4*r**3 - 12*r**3 - 15*r**3)*(11 + 0 + 0).\nAnswer: -242*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32274964138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -12 + 11 + 27 + -17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 27554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x - 2*d - 12, -x + 4*d - 12 = 0. Suppose x*m + 86 = 3*l - 9, -m - 30 = -l. Suppose 27*h - 260 = l*h. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, -1, 2\/3, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 12 = 2*j. Let a = 6 + j. Let f(h) = -h + 2. Give f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*d + n, -3*d - 80 = -7*d + n. Suppose -4*s - s = -15. Suppose 6*g - 100 + 52 = 0. Solve g*h + d = s*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 30*h**2 + 3*h + 2. Give j(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33943216 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161871097 to the nearest integer?\nAnswer: 12723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 - (2 + -1) - ((-15 - -3) + (-368 - -384)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hperer. What is prob of sequence rh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233342 + -1?\nAnswer: 233341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282 - -284.27. Let r = -0.27 + v. Which is the second biggest value? (a) -9 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3694084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298338942 is divided by 497?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3518106*s**6 + 3*s**5 + 2*s**2 - 2697150*s wrt s?\nAnswer: 422172720*s**3 + 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/120 + a**5\/10 - 5*a**4\/24 - a**3 + 4*a**2. List the prime factors of p(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -12. Suppose 4*y - 5*q = -6320000, k*y + y + 2*q + 6320000 = 0. What is y rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5.2. Suppose -4*x + 5*w = -43 - 26, 48 = 2*x + 2*w. Let h be (14\/x)\/(4\/6). Put h, o, 0.3 in increasing order.\nAnswer: o, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + ((1*sqrt(2) + 5)**2 - (1 + sqrt(162))**2)*-1 + 3*(sqrt(128)*-1 + 0)**2).\nAnswer: -2072 - 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -137.\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y + 2. Let x(n) = -18*n - 4. Give 5*w(u) + 3*x(u).\nAnswer: -9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9852, 10053, 10392, 10875, 11508?\n\"Answer: z**3 + 63*z**2 + 5*z + 9783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.2 - 15. Let c = b - -0.4. Let v = -413 + 412.2. What is the closest to -0.1 in c, -3, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**3\/2 + h**2 + 2*h. Suppose -8 - 4 = 4*c. What is the lowest common multiple of 5 and g(c)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 14. Let p = 11 - 5. Let o be b(p). Let m be 2 - (o - (0 - 0)). Solve 5*f - 18 = -l, f + 5*l = 2*l + m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2173224 and -127\/72.\nAnswer: 6519672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3697587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z**4\/7 + 17457*z**3\/7 + 133335*z**2\/7 + 7437*z - 28980 = 0.\nAnswer: -1932, -7, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -293 * -4091.93.\nAnswer: 1198935.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21101202010100 (base 3) to base 8.\nAnswer: 16776703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9759 + 16045. Suppose f = -g + 22286. Let w be 0 - 105\/2*g. What is w rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**7\/21 - o**6\/15 + o**5\/5 - 52*o + 93. Let u(q) be the first derivative of r(q). Factor u(v).\nAnswer: -2*v**3*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19914993 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21811318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54443666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 3*b**2 + 6*b**2 + 137.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - m - 36 = m, 2*b - 30 = -4*m. Let c(h) = 14*h + 40. What is the units digit of c(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3339*w + 4703?\nAnswer: -3339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1580782, 1581474, 1582152, 1582810, 1583442, 1584042, 1584604?\nAnswer: 1585122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8610 = -4874*w + 5120*w for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -k + 19, -2*k - 4 = -1796*l + 1795*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4359366 and 594459.\nAnswer: 13078098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16*s = -28. Which is the second smallest value? (a) s (b) 2 (c) -1 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*r - 5*r. Let m = r + 1. Let h = -9211 - -9206. Which is the biggest value? (a) -4 (b) 3\/7 (c) m (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 72*p = 336. Let k(f) = -5*f**2 - 9 + f**3 - 3*f + 6*f**2 + 5*f**2. Determine k(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3 - 22*b - 1 + 2. Let x(z) = 6*z + 1. Let f be x(-1). Let w(u) = -9*u - 1. Suppose -2*c + 36 = c. Determine c*w(h) + f*a(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1244622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1099562 by -8026.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -518 + 735. What is the third derivative of l - 217 + 6*y**2 + 10*y**4 wrt y?\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 14*w + 27. Let s be f(-9). Let u = -376 + s. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -40. Find the third derivative of 17*r**5 - r**2 - 25*r**5 + v*r**5 wrt r.\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6687.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6*w - 4*w = 39, 0 = -3*z - 4*w + 121. Differentiate -4 + 39*o**4 + z - 43*o**4 + 25*o**4 wrt o.\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114772936?\nAnswer: 2, 59, 73, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/19 + 84*g**2\/19 + 312*g\/19 + 16.\nAnswer: 2*(g + 2)**2*(g + 38)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*p + 60*p = 59*p - 4669 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -2. Suppose 0 = 5*c, 7*d - 4*c = 26 - 19. Let j = -0.1 - -0.6. What is the nearest to d in j, -5, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 92\/3680*-515*8\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 108, -324, -1098, -2220, -3696, -5532, -7734?\nAnswer: -10308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -961, 2, 4, -4 in descending order.\nAnswer: 4, 2, -4, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 3, h: 1, k: 9}. Give prob of picking 1 h, 1 k, and 1 a.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*c + 333, w = 3*c + c + 347. Suppose -3*o + w + 60 = 0. Suppose 6*l - o = 83. What is the greatest common divisor of 90 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 614140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 0\/(-4) - -3. What is the second derivative of 3*g**z - 4*g - 3*g + 0*g + 0*g**5 wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgqgqqucoggu. What is prob of sequence cuom?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 263104*j - 34006980.\nAnswer: 4*(j - 65905)*(j + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*4*3\/72*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56445 and 1233270.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, e: 1, v: 3, d: 2}. Give prob of sequence edav.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13312 is divided by 102.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {f: 2, q: 3, e: 3, c: 5}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 + 0.3?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:50 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -31.1172. Let d = l - 0.11. Round d to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174916024 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*(-9)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q = 49*q + a + 2, -3*q = 3*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -14 - (-1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1980*k**2 - 49*k - 236. Is w(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.58 - -2.58. Sort 150, 4, -4, v in decreasing order.\nAnswer: 150, 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-30 + -20 - -93)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11811, -23622, -35435, -47250, -59067?\nAnswer: -70886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*h - 3*t + 8, 3*t - 15 = -3*h. Let q be (-1 - 1)\/((-11)\/22). What are the prime factors of ((-16)\/h)\/q + 772\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -67*n + 62. Let l(o) = -136*o + 124. Let f(v) = 2*l(v) - 5*s(v). What is the units digit of f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(-3\/16)\/((h\/h**(-5))\/h*h**3))\/((h*h\/(h*h**(-1)*h)*h)**46\/(h**(-1\/3)\/(h\/(h**(-8)*h*h)))) assuming h is positive.\nAnswer: h**(-5161\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43555 and 204568?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -6 (b) -2 (c) 23.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 41 = -q + 79, 5*t - 159 = q. Calculate the remainder when 91 is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7427)\/(-42))\/((-1)\/(-6)). Suppose -8*f + 19 = -v. Calculate the greatest common factor of f and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -479, -1093, -1933?\nAnswer: -2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15682, 31363, 47044?\nAnswer: 62725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + (-1 - -4) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-72)\/21)*2\/7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - 3?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159825?\nAnswer: 3, 5, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*y - 154, y + 5*n = 6 + 5. Solve -68 = -19*o + y*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 12. Let s = -27 + 20. Calculate the remainder when (-18)\/(-21)*(1 + 6) is divided by c(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1357 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, i: 4, v: 2, p: 3}. What is prob of picking 1 y and 1 i?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8576081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7010424 to the nearest 10000.\nAnswer: 7010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23467?\nAnswer: 31, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 18. Let d(c) = -6*c + 18. Calculate -4*d(f) + 5*o(f).\nAnswer: -f + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30534 + 30560. Solve 33*x = m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12711166 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*(-71)\/((-5396)\/(-2128))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-210)\/63 + 10\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 144988\nAnswer: 144987.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/45 - 11*w**4\/72 + w**3\/6 - 18*w**2. Solve z(l) = 0 for l.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/5*120\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -36463*x**3 + 72929*x**2 - 36469*x + 3 = 0.\nAnswer: 3\/36463, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 6. Suppose 3*u = -m + 6, -4*u - h*m + 16 = m. Let i be (-6)\/21 - 4*36\/(-651). Is i less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 1, i: 9, p: 7}. Give prob of picking 2 p, 1 i, and 1 j.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.761116 litres?\nAnswer: 2761.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.224?\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and 18.23?\nAnswer: -1349.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -1493310?\nAnswer: 1493307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -373?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d + d - 26119 + 26060 + 24*d**2. What is the tens digit of c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 <= 9\/31754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127347235 is divided by 63673613.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9695717km to centimeters.\nAnswer: 96957.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1012471 and 5489.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/11 + 49176*i\/11 + 302284872\/11 = 0?\nAnswer: -12294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 3. Suppose -4*o = -2*g - 34, 5*g + x = 3*o - 21. Let j(f) = -f + 7. Let l be j(6). Solve 2*w - l = o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 534652 and 584.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9352 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:31 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6297694 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90357996 to the nearest integer?\nAnswer: 9506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + 181. What are the prime factors of r?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:16 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -15*v**2 + 5*v - 2. Let f = 233 + -243. Is z(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 3*f**4\/8 + f**2. Let l(n) be the second derivative of -3*n**4\/4 - 8899*n. What is g(l(d))?\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -263, -575, -995, -1517?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from sssyynllyyysynyylls?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496 and 9489040.\nAnswer: 294160240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-5))\/((-1)\/1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/120 - o**5\/12 - 5*o**4\/24 + o**3\/6 + 19*o**2. Let a be w(-4). Solve -20 = a*g - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31 - -0.3. Let c = w + -1.99. Let b = 4 + c. What is the second biggest value in -1\/4, b, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 2*d - d**2 + 2 + 41*d**3 - 24*d**3 as j*d**3 + y*d + t*d**2 + s and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/23271 or 1?\nAnswer: 29\/23271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 13*o = -20*p + 9*p - 5*o - 39, 0 = -5*o + 25 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4236 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61137837 and 156241139?\nAnswer: 1406170251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30729, -63337, -117683, -193767, -291589, -411149, -552447?\nAnswer: -715483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118 + -37. Let j(r) = 7*r + 61. Let u(z) = 10*z + 91. Let n(b) = -7*j(b) + 5*u(b). What is the remainder when w is divided by n(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**4 - 1 + 2 - w**2 + 35*w**3 - 2*w + w - 34*w**3. Let d(n) = -4*n**4 + 16*n**3 - 6*n**2 - 16*n + 11. Let k(i) = d(i) - v(i). Factor k(f).\nAnswer: -5*(f - 2)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39188\/6097 + 1\/871. Find the common denominator of -14\/9 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/((-28)\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 55 + 5. Let p(y) = -4*y + 2*y + 8 - r. What is the least common multiple of 3 and p(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2680.708 micrograms to grams.\nAnswer: 0.002680708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 352015705127\/792 + -444464551. Let b = 2494\/9 + u. What is the common denominator of b and ((-18)\/84)\/(24\/872)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.28824 - 0.02576. Round r to 1 dp.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 6:21 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(17) + 1)*4)**2 + ((sqrt(85)\/sqrt(5))**2 + -3)*4 + -4.\nAnswer: 32*sqrt(17) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13298*y - 7630*y - 7215*y)*(-3*y**3 - 3*y**3 + 4*y**3).\nAnswer: 3094*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.94 + -0.973. Let i = 0.6 - 8.6. Let v = i - r. What is v rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -17*a + 4. Let m = 335 - 335. Let q be n(m). Solve 7 = q*z - 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - 8) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 48. Is h >= -1\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwkak. Give prob of picking 1 k and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 206 (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 0, -2, -172?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -33, -31, -29?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c**3 - 155969*c**2 - 7*c + 96967640 wrt c.\nAnswer: 15*c**2 - 311938*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/35)\/((-2)\/(-45)). Let n(w) = -w + 2. Calculate the least common multiple of 1 and n(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7619*r - 4404*r - 13590*r.\nAnswer: -25613*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = -4*n + 5, 4*n = -5*l - 7. Let g(r) = 2*r**2 - 2*r - 2. Let m be g(n). Determine k, given that 2*k**m + 6*k**3 - 7*k**3 + 0*k - k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**7))\/f)\/(f\/(f*f**1))*f**(-12)*f*f**(1\/36)\/f assuming f is positive.\nAnswer: f**(-179\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19487 - 0.06.\nAnswer: 19486.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 - 4*v**4 - 3*v**4 + (-2 + 2 + 2*v)*(2252*v**3 + 1941*v**3 - 23*v**3).\nAnswer: 8337*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(0*x - 2*x + x)*(-3*x + 3*x - 4*x**3) to the form v*x**3 + z*x**4 + g + l*x**2 + r*x and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 767489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/65 + 18\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -71*m + 6. Let x be c(-4). Let p = x - 275. Solve -p = b - 4*h, 0*h + 10 = -2*b + 4*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*l + 27, 0 = -2*m - 0*m + 4*l + 14. Let y(g) = -g**3 + 6*g**2 + 24. Let t be y(6). Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Suppose 5*a + 1 + 1 = -h, -3*h + 2*a + 62 = n. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -56*n + 5603. Determine s(100).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -66. Let u = i - -55. Solve u*s = 16*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (-2 - (1 + -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 441221032?\nAnswer: -441221033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-33 + (-22 - -52) - (-15 - 0)) + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 - 136*o = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 24 = -5*r + 4, 0 = 3*t - 3*r. Suppose 2 = d - 1. Let s be d\/3 - t\/(-2). Solve g + 0 = -4*y + s, -12 = y - 4*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68459711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17117 + 0.171260055. What is a rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 3. Let q(k) be the first derivative of -k**2\/2 + k + 4. Suppose 22 = 7*o + 57. Let f be (-4 - (0 + o))*-2. What is f*g(c) - 7*q(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 54*w + 595. Determine g(-35).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 1\/12*u**4 + 0*u**2 + 0 + 0*u**3 + 3*u. Let d(w) = -11*w. What is b(d(z))?\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.109, -3, 11, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -4, -0.7248, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 399*n**2 + 1956*n + 1322. Give b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:02 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 606275 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-4)\/15)\/((-16)\/(-280)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47356836*n**4*x**3 - 2*n**4*x + n**2*x**3 + n**2*x**2 + 181*n**2*x - 4*n**2 - 187*n*x**3 - 9*n*x**2 wrt n.\nAnswer: 1136564064*n*x**3 - 48*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let c = 7 + -15. Let b be ((-3)\/(-12))\/((-2)\/c). Let t(a) = 6*a. Determine b*t(v) + 5*j(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1690 + -2313. Which is the third biggest value? (a) 0.2 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/28*(-224)\/(-20)*(-114)\/152?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63 times -262289?\nAnswer: -165242.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = 8*p + 9*p - 1803. Which is greater: p or 463\/7?\nAnswer: 463\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 229470 and 4530.\nAnswer: 34649970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -781*a - 60*a**2 - 25*a**2 + 794*a wrt a?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7421.9985811 - -7422. Round q to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 2374610.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*z - 65, -3*a + 5*a + 3*z + 25 = 0. Let h be -1*(-3)\/((-12)\/a). Differentiate 2 - 1 - h + 3*u**2 + 2 with respect to u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281 - 281. Which is the closest to y? (a) 2\/3 (b) -0.1 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 0.1 (c) -5\/8 (d) -1062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.29783 rounded to 1 dp?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 358*b + 1505*b - 362*b - 428*b - 5 - 369*b.\nAnswer: -12*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -22316188?\nAnswer: 22316185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1535 = -5*l - 1520 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 3. Let i be b(4). Let u = 4 + i. Suppose -3\/2*o**3 + 3\/2*o**4 + 0*o + 0 - 1\/2*o**u + 1\/2*o**2 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x + 18939 - 739 = 0. Let i = x - -525. Solve -5*l + 10 = -a, i*a = l + 3*l + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1566\/7*i - 1682\/7 + 114\/7*i**2 - 2\/7*i**3.\nAnswer: -2*(i - 29)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(14*(-19)\/(-133)) - 298\/(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*(-17 - -8). Suppose -2*n + 80 = r*s - 62, -4*n = 4. Solve -8*b + 16 - s = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5894*t - 5907*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-18)\/(-2)*((-11)\/(88\/(-72)) - -22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87851909 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - -1)*(-1)\/59. Let t = j + -669\/118. What is the common denominator of t and ((-1)\/(-16))\/(2\/276)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11854?\nAnswer: 2, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9560068+184\nAnswer: 9560252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c8 (base 14) in base 11?\nAnswer: -961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, c: 7}. Give prob of picking 4 g.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 8:11 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = l + 10, -3 = -y + 3*l + 3. Let v(z) = z**2 + 7*z - 8. What is v(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338 - 1002 + 330 - 10*x + 334.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 7) to base 15.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*o**4 + 34*o**4 - 6 + 3 - 2*o - 2*o**3 to the form v*o**2 + b*o**3 + q*o + r*o**4 + a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 168, 407?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0869 + -4.0869. Sort -1, -1.1, k in decreasing order.\nAnswer: -1, -1.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2594 less than or equal to -10371\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 4*r**2 - 2*r - 9. Is 17 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -205*l**9\/252 + l**6\/120 - 3*l**5\/5 + 7*l**3\/6 - 223*l**2. What is the third derivative of b(w) wrt w?\nAnswer: -49200*w**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + (sqrt(11) - sqrt(99)) + -3 + 1*sqrt(704) + 4.\nAnswer: 4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 116, 160, 204, 248, 292?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.126, -6, 2\/15, -2?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 702364063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlt when three letters picked without replacement from btttblbbblllpb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14905*x**3 + 15129*x**2. Let u(n) = 2484*n**3 + 2522*n**2. Let d(p) = 4*c(p) - 23*u(p). What is the third derivative of d(k) wrt k?\nAnswer: 14928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*r = -187*r - 9*r + 183 - 183 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18*(44\/(-24))\/(-11)*2\/1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 193. Let i = -9 + -6. Let w(j) = -2*j - 20. Let o be w(i). What is the highest common divisor of o and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36137 or -36141?\nAnswer: -36141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489326337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:51 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from vbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6587*n + 72450. Determine m(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/84*(-810)\/42)\/(6\/28)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a micrometer in nanometers?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-54 - (-21 + 14))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/37, -6, -4\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 373780*-18\nAnswer: -6728040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc - -1623a4?\nAnswer: 1622c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-108)\/(-18) - (-2 - -8). Suppose t = 25*m - 40*m + 90. Calculate the highest common factor of 174 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/10 - (-4)\/(-10). Let l = -33 + 228\/7. Let p = -0.2 - -0.3. Which is the closest to w? (a) p (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -926?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 14 = 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.4 - -690857.\nAnswer: 690853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 48 = 3. Suppose -x = -2*u - u. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -12 (b) -3 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 2.14. Let b = -76.56 + w. Let s = -77.000066 - b. Round s to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(2\/3))\/t*t*t\/(t**(-10)*t))\/((t**(2\/21)*t)\/t**(-5)))**24 assuming t is positive.\nAnswer: t**(712\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-16)*(-2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 + 146\/24)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3137271053 to the nearest integer?\nAnswer: 56011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(-3))\/(-2))\/(14\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 6 + (-2 + 5 - 4)*(-1 + 2 + 0) - 2 + 0 + 0)*(-6*z + 4 - 4).\nAnswer: 60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44412852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2343034?\nAnswer: 2343042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000621277 to 7 dps.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4*j - d**4 - 8*d**3 + 2*d*j + 53*d wrt d.\nAnswer: -24*d**2*j - 12*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + 3.3. Let m = -0.042 - 38.958. Let r = -41 - m. Which is the biggest value? (a) 1\/2 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = c - 19. Suppose -5*v + 12*v - 21 = 0. Let d = v - 7. Sort 2, c, d in descending order.\nAnswer: c, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/4)\/(9\/(-24)). Let w = t - -15. Suppose 3*i = -w*n + 44, 4*i - 2*n - 125 = -i. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3090 and 26130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123c (base 13) to base 3.\nAnswer: 10112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4\/18999185 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15148*-0.0954\nAnswer: 1445.1192","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 62 = 4*f, -2*c - 2*c - 5*f = -136. Suppose 4*i = 7*i - c. Suppose 5 + 20*a**2 + 55*a + 29*a + 24 - i = 0. What is a?\nAnswer: -4, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-70) + (-279)\/(-7). Find the common denominator of (0 - 2) + (-3 - (-384)\/l) and -61\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (2 + 31 - (9 + (3 - 4))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -3. Let z be 16\/(-10)*t\/2. Solve 9*j + 4*m + 33 = 4*j, -z*m = -4*j - 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 10*u - 2*g = 5610, -2*u + 4*g + 2814 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/40 - (-6)\/((-1056)\/(-46)). Is z bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:15 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543275.8 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988160 a multiple of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1070262 and -125\/18.\nAnswer: 1070262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let o = 6 + k. Suppose -2*p = -5*p + 12. Calculate the greatest common divisor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4 - 3360*a**3 - 55830*a**2 - 101600*a - 49125 = 0.\nAnswer: -655, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -35*j**3\/2 - 7*j**2\/2 - 38*j. What are the prime factors of t(-2)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004164658 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e0f13 (base 16) in base 14?\nAnswer: 1538da3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705434143 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*w - 7. Suppose 7 = 4*a - w*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -369, -563, -885, -1335?\n\"Answer: -64*t**2 - 2*t - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*d**4*h + 85*a*d**3*h + 71*a*d*h - 3*a*h**2 + 3*d**3*h**2 + 2*d**2 - d*h**2 wrt d.\nAnswer: -96*a*d*h + 510*a*h + 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 + 93*m**2\/4 + 3*m\/4 - 93\/4.\nAnswer: -3*(m - 31)*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1593 and 2242.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**8\/1680 - a**4\/6 + a**3\/2 + a. Let m(n) be the second derivative of f(n). Differentiate m(q) with respect to q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 12616746.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*a + 111 - 7, -208 = -4*d - 3*a. Suppose -56*o = -d*o - 3188. List the prime factors of o.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) + (-231)\/15. Let r = -10 - s. Which is the third biggest value? (a) 3 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 = 15. Let o = 1 + 0.3. Let h = 1.2 - o. Is v > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 - 14 + 14)*(0*m + 0*m - 2*m**2) - 6*m**2 + 6*m**2 - 4*m**4 to z*m + s*m**3 + t + d*m**2 + i*m**4 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8145, 8148, 8155, 8166, 8181, 8200, 8223?\nAnswer: 8250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -35. What is the lowest common multiple of (5 + h)\/((-6)\/(-4)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3800)*1 + ((sqrt(190)*2 - sqrt(190))\/sqrt(5) + sqrt(38) - sqrt(38)))\/((sqrt(2) + sqrt(32))*5 + sqrt(2) + sqrt(16)\/(-1*sqrt(8) - sqrt(8))))**2.\nAnswer: 9196\/2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lya when three letters picked without replacement from {i: 1, l: 1, a: 1, q: 1, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128236309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47870, -192086, -432648, -769556, -1202810?\n\"Answer: -48173*s**2 + 303*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.76 - -6. Let y = m + -262.24. Let n = 249.3 + y. Round n to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8136596630 take away -497?\nAnswer: -8136596133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.4, -50, -0.4.\nAnswer: -50, -0.4, 18.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a hour?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 + 2*b + 1. Let d be s(-3). Let p = 38 + -34. Sort 1, -5, d, p in increasing order.\nAnswer: -5, 1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from gggoooooogo.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3524 is divided by 46?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/10)\/((-1534)\/(-15340))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - -7. Suppose 2*v - a - 1 = 7, 5*v - 2*a = s. Is (330\/11)\/((v\/(-6))\/(-1)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvzxvzkvxv. Give prob of picking 1 v and 1 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + 47. Suppose -153*u = -a*u + 16. Suppose m - 5*m + 4 = 0, -u*m = -3*k + 3341. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 3. Find the common denominator of (-2 + 696\/15)\/4 and -2 + (-133)\/o - -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = 5*b - 2*y, 5*y - 142 = 2*b + 119. Sort 3, -4, b in increasing order.\nAnswer: b, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1717 divide 149333362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*d = d, 3*d = -3*z + 6. Suppose -8*l = -4*l - 20. Let u be ((-12)\/(-2) - 1)*1\/l. Sort u, -17, z, 4.\nAnswer: -17, z, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**5\/60 + k**4\/8 - k**3\/6 - 61*k**2\/2 - 51. Let m(j) be the second derivative of x(j). Determine m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.7 + -56. Let h = -2 - -2.02. What is the second smallest value in -1, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -12. Let f(x) = 3*x**2 - 3*x - 2. Calculate the least common multiple of f(-2) and 1\/(0 + 1\/r) - -14.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625015 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and -820791.\nAnswer: -2954847.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.108719005 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(sqrt(68)*2 + sqrt(68)))**2 + 0 + -1*sqrt(68) + -1.\nAnswer: -2*sqrt(17) + 15304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**5 + 8*g**4 - 2*g**3 - 6*g**2 - 2*g. Let z(y) = y**2 + y. Let v be (12\/(-10))\/((-12)\/(-40)). Let l(o) = v*z(o) - 2*t(o). Factor l(q).\nAnswer: -4*q**2*(q + 1)**2*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11608 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -6 + (16 - 0). Suppose 1 = 4*w - 3*v - i, 12 = -4*v. Let m(t) = 3*t + 0*t**3 - 5*t - t**2 + t**3 + 3. Determine m(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y + 38182 - 9014. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-4 + 11))\/(1 + 0). Let p(b) = 4 - 2*b + 12*b**2 - 1 + 2 + a*b. Is p(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/552*-42)\/((-7)\/8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 18811 = 4307. Let a = -1727 - z. Let l = -474 - a. What are the prime factors of l?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 26. Let b be h(12). Solve 0 = -b*j - 5 + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -319 - -295. Let o(u) = u**3 + 2*u**2 - u - 2. Let c be o(-2). Let y = c - n. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let c(l) = -r*l - 3*l - 4*l + 4*l - 6. What is the units digit of c(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, -77 in decreasing order.\nAnswer: 4, -0.3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 90338662481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6c1 (base 15) to base 11\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*t**3 - 2*t + 2*t + 68*t**3 + 2*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 508998.1 centuries in years?\nAnswer: 50899810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -1569, -3395, -5963, -9279?\nAnswer: -13349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.163 + 0.1336. Let y = p + -0.6646. Let j = -0.034 - y. What is j rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.608507mm to nanometers.\nAnswer: 608507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:27 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 206690146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 58 = -c, 0*m - m - 3 = 0. Let b = c + -2. Let s = b - -55. Solve -2*d + 7 = 3*j, -d - 10 = -s*d - 5*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*u**4 - 39*u**3 - 8*u**2 - 20*u wrt u.\nAnswer: -96*u - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46620603*x**2 - 7624021?\nAnswer: 93241206*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 147*g**2\/2 - 63*g + 27\/2 = 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*((-90)\/510)\/(196\/(-238)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -103*r + 802. Calculate n(10).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45874, 4, -1, -5 in ascending order.\nAnswer: -5, -1, 4, 45874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3\/5 - 58206*d**2\/5 + 244509408*d\/5 + 75689437824 = 0.\nAnswer: -1190, 10296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/114 and 13\/912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/5)\/(o**(-2\/3)\/o*o)*o**11\/o**(2\/19) assuming o is positive.\nAnswer: o**(3523\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 489 - 493 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19884 and 4668.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a, 4*c - 32 - 60 = -2*a. Suppose 5*j + 4*r = 52, -5*j + 2*j - 3*r = -33. Calculate the remainder when c is divided by 7\/(-56) + 65\/j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 12*g**2 - g + 17. Let w be d(12). Suppose 0*x + 5270 = 4*p - x, w*x = -10. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -131\/7*o**7 + 0*o**5 + 0*o**2 + 0*o**4 + 0*o**6 - 146\/3*o**3 + 0*o - 1. What is the third derivative of z(x) wrt x?\nAnswer: -15720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*s**2\/7 + 42412*s\/7 + 56400 = 0. Calculate s.\nAnswer: -3525, -28\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.64 - 5.64000655. What is p rounded to seven decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4279 divided by 11\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 1, f: 2, l: 1, i: 2, u: 2, s: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-16)*r*r)\/(r\/r**13) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 23 + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/45)\/(24\/(-30))*(-5780)\/(-170)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324370044.\nAnswer: 2, 3, 9010279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49518.947045 + 49587.147043843. Let c = y - 68.2. Round c to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92778*t**2 - 92777*t**2 - 3*t - 8*t**3 + 2 - 73*t**4 + 0*t**3 as m*t**2 + g*t + y*t**4 + b + c*t**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from rgoyryv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 44\/(-126). Let n = -963 + 474. Let a = -492 - n. What is the closest to -0.1 in a, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6214 bigger than -135\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6424 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 2*y**2 + 2*y - 1. Let x be 23*1 - 4\/4. Suppose x = -0*h + 5*h - 3*i, h + i + 2 = 0. Let z(b) = -b**2 - b + 1. Calculate h*z(r) + l(r).\nAnswer: -2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72534 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 81, 238, 545, 1050, 1801?\n\"Answer: 8*g**3 + 3*g**2 - 10*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 3 (c) -7\/45 (d) 0.1 (e) -6 (f) -5 (g) 2.8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -743*n**6\/30 - 311*n**2\/2 - 105*n + 3. Differentiate c(z) wrt z.\nAnswer: -2972*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 82716928 by -5169808.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 4*w**2 + w + 19*w + 14*w as k*w**2 + i + h*w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229091 and 478361?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/5 + 1134*y**4\/5 - 7702*y**3\/5 - 77054*y**2\/5 - 126456*y\/5 - 11648 = 0.\nAnswer: -4, -1, 13, 560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b9 (base 13) in base 5?\nAnswer: 11303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43776 and -3.\nAnswer: -43779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -4, 4, 2, -19, 13874 in descending order.\nAnswer: 13874, 5, 4, 2, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -473483*a + 473483*a + 112574*a**2 + (-2*a**2 - 3*a + 3*a)*(6 - 2 - 2) - 2*a + 2*a**2 + 2*a in the form l*a**2 + p*a + h and give l.\nAnswer: 112572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49\/891 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 165*s + 169*s = 20, 3*s = 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.096 * -0.7\nAnswer: 0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from cdccqfo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 less than 0.4?\nAnswer: 175.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + 11*g**2 + 10*g - 9. Let u(h) = 11*h**3 + 31*h**2 + 29*h - 26. Let r(y) = 17*d(y) - 6*u(y). List the prime factors of r(4).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 + 3 - 7)*(23*m + 2*m - 4*m)*(3*m + 0*m - 4*m) as z*m**2 + d*m + t and give z.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67440, 134861, 202282?\n\"Answer: 67421*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/10 - 19*z**3\/6 - 3*z**2\/2 + 439*z. Let u(n) = 1. Give d(k) + 3*u(k).\nAnswer: 2*k**3 - 19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 454 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697425?\nAnswer: 3, 5, 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = 0, 3*z - 4*s = 4*z - 3155. List the prime factors of z.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-8\/7))\/f)\/f**11)**(-3\/4))**39 assuming f is positive.\nAnswer: f**(8073\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-24)\/4)*(-7 - 2)*96\/(-720)\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-5) - (-35 + 1) - -2. Suppose u + 11*u = g. Solve u = 3*b - 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - (-346)\/(-688). Let x = 399\/18920 + j. Let f = -161\/220 - x. Sort f, 2\/9, -4.\nAnswer: -4, f, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387485412 to the nearest integer?\nAnswer: 19685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/170 - (-6836)\/(-10). Let x = z + 517. Which is smaller: x or -166?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1524115 (base 6) to base 12\nAnswer: -4363b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 30*r = 0. Suppose r*c = 4*c. Suppose c = 9*b + 988 - 5785. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 26*s**3 + 2*s**2 - 41. What is the hundreds digit of z(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/12*(-84)\/1176?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -296, -217, -140, -65, 8, 79, 148?\n\"Answer: -c**2 + 82*c - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 429*u**2 - 19080*u - 248400.\nAnswer: -3*(u + 23)*(u + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -4659401?\nAnswer: -4659401.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.4 - -17.4. Which is the nearest to 2\/5? (a) -1 (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 + 219 = -3*t. Let i be 6 + (33 + 0)*(-50)\/15. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -0.04826.\nAnswer: -0.3, -0.04826, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 152, -4, -0.1, -67 in ascending order.\nAnswer: -67, -4, -0.1, 0, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*v - 7 = l, 2*l + 4 = -2*v. Let u = 87 + -437\/5. Is u greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2997 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 47*a + 9. Suppose -3*y = -d + 14, 4*y + 14 = 5*d - 12. Let k(b) = b**d - 1 - 1 - 2*b + 4*b. Calculate k(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocq when three letters picked without replacement from {q: 1, b: 1, o: 1, w: 2, c: 1, t: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -289. Suppose -276*s + p*s = 16. Let x(j) = j**3 + 4*j**2 - 3. Calculate x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at least as big as 0.5664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -447116560 + -4?\nAnswer: -447116564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -25.68. What is p rounded to 2 decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c + 20. Let h(t) = -2*t - 6. Let b(k) = -3*a(k) - 10*h(k). Let l(y) be the first derivative of 4*y - 4*y + 3*y**3 + 2. What is l(b(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*r + 71*r + 1 + 0.\nAnswer: 9*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*d - 4 = -107*d. Let a(y) = 1 - 4*y + 8*y**2 - 4 + 4 + d. Determine a(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3452851 is divided by 484?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (29 - 28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1154 - b - 1154.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1120112220 (base 3) to base 14\nAnswer: -b43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17047*s**2 - 678*s + 2. What are the prime factors of x(2)?\nAnswer: 2, 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g + 433*g - 32552 = 0 for g.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98 + -92. Solve -o = f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000043408 to seven decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 37?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - t + 3)*((-2*t + 3*t - 3*t)*(2*t**2 + 0*t**2 - 4*t**2) + 4*t**3 - 2*t**3 + 4*t**3 + (3*t**2 - 5*t**2 + t**2)*(-2*t - 2*t + 3*t)).\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + 7*z**2 + 8. Let b(g) = g**3 + g**2 + 1. Let v(t) = 6*b(t) - l(t). Let m be v(2). List the prime factors of 16 + (m - 4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -6, -13, -34, -75?\n\"Answer: -u**3 + 2*u**2 + 2*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -36, -160.\nAnswer: -160, -36, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 26*m - 1 = b, m + 13 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000576 rounded to 5 decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -656450 times 5\nAnswer: -3282250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14588 + -1?\nAnswer: -14589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/195 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162136 and 137192?\nAnswer: 1783496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220112745?\nAnswer: 3, 5, 2203, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -2*p**5\/15 + 4*p**3\/9 - 2*p\/3 + 1. Find b such that q(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -508*o + 585*o + 1001 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 2 - 4*v + 2*v. Let z be n(3). Suppose -4*q - 26 = -p, -3*q = -z*p + 145 + 2. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 199*u**2 + 68*u - 127. Let c be m(66). Solve -9*j + 14*j + c*v = -20, 4*j - 4*v = -8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13342622*c*h - 12782021*h with respect to c.\nAnswer: -13342622*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/13, -3\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 143*r**2 + 3222*r - 153. Let c be f(115). Calculate the highest common divisor of 217 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 2*z**2 - z. Let c be r(2). Let l(w) = c*w - w + 3 - 3. Let o(k) = 5*k + 8. Let j(y) = 6*y + 10. Let x(b) = 4*j(b) - 5*o(b). What is x(l(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -355140 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 4*t - 34*t + 20*t + 3*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**4\/4 - q**2. Let a = 58 + 1429. Let b(x) = 2974*x**2 - a*x**2 - 1486*x**2. What is b(o(i))?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -3.3. Let r(k) = -k**3 + 13*k**2 - 24*k - 22. Let z be r(3). Which is the closest to z? (a) 2\/19 (b) x (c) 0 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**4*z**3 + 303*t**3*z**2 + 44*t**2*z**2 - 11*z**3 wrt t?\nAnswer: 24*t*z**3 + 1818*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 5493 in ascending order.\nAnswer: -1, 0.5, 5493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 1\/8, -17, 18, -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 36 = 5*a. Calculate the remainder when 21 is divided by (a\/3)\/(-4 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1143 - -5?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 3541356?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-15)*(-27)\/((-567)\/7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 825*z - 198031. Give j(240).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 9*w. Solve -z - 2*z + 6 = w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of -1 + -1 + (-790)\/474 + 8921\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -2618 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 3*h, -2*q - 2*h - 4 = 2*h. Let a = 4 + q. What is the second derivative of s**3 + s**5 + 0*s - s**3 + a*s wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**6\/120 - 7*z**5\/60 + z**4\/24 + 2*z**3\/3 - 9*z**2. Give p(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21033 - -0.01112037\nAnswer: -21032.98887963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 82*c**2 - 1. Suppose -5429 - 7342 = -297*v. What is the remainder when q(1) is divided by v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.329874 + 0.043208. Let p = f - -0.286. What is p rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6770?\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -209, -442, -757, -1154, -1633, -2194?\n\"Answer: -41*f**2 - 28*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1701*n + 50 + 69 - 119 in the form s*n + l and give s.\nAnswer: 1701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -95278611350 rounded to the nearest 1000000?\nAnswer: -95279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 267380 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-18)\/m)*(m\/((m\/(m*m\/(m**(-2\/3)\/m*m*m*m)))\/m)*m)\/m*(m**(-1\/4)\/m)**(-44))**(-50) assuming m is positive.\nAnswer: m**(-11500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 1371, 2, 5 in increasing order.\nAnswer: -108, 2, 5, 1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 125407*c - 501809. Determine g(4).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-10150)\/87)*(-70)\/(-12)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19281 * 10\nAnswer: -192810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m = 56*m - 448. Is m\/(-6)*6\/4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.916729 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9 - 85) + 7 - -7) + -3 + 1 + -15?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226286503 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-20)\/(-14))\/(((-78)\/(-26))\/20643)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96614594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + c - 8*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*8228042\nAnswer: 1645608.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59123284 and 1606?\nAnswer: 59123284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-4))\/((-11)\/(-44)). Suppose 9*t - 51 = b*t + f, 0 = 2*t + 3*f - 29. Solve -4*g + 7 = -t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335\/226 - 2\/113. Let z = -0.61 - -0.01. Sort -3, z, f.\nAnswer: -3, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2 + 4)**2*4.\nAnswer: 64*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3447 - -3446.5. Which is the closest to -1\/136? (a) 2\/7 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -2\/17, 3\/4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 456561473 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Suppose 50 + 2 = x*i. Let s = -2 + i. What is the greatest common factor of 77 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5\/3 + 23*m**4\/3 - 34*m**3 + 158*m**2\/3 - 107*m\/3 + 9 = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4263624 millilitres to litres.\nAnswer: 0.0004263624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - (8 + (-12 - -22)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.088 times -1\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 - 51 = 0. Let x = -10 + w. Let r = -2 + x. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d7 (base 15) to base 10.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1144350 and 468?\nAnswer: 29753100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50552 and -26.9?\nAnswer: 50578.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + a - 2. Let g be (-21)\/6 - (-3)\/2. What is the units digit of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 19040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kac when three letters picked without replacement from akcakkkpca.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.447 - 199.673. Let u = q - -180.1. Let j = -23 - u. What is the second biggest value in j, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 31.9?\nAnswer: -3.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 822074 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 897b7 (base 12) in base 15?\nAnswer: 39177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 556, 558, 560, 562, 564?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h - 4. Let j be -1 - (-1)\/h*-2. Is j at least -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:26 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.29, -32\/9, 14139?\nAnswer: 14139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8769*i**2 - 979*i + 1 wrt i.\nAnswer: -17538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118295.\nAnswer: 5, 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066654 to 5 decimal places.\nAnswer: 0.00667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 3*o + 3. Suppose 4*d + 2*f = 0, 0*d + f = -3*d + 2. Suppose d*l + 3*s = -l - 120, 2*l - 5*s = -45. Let z = l + 33. Determine q(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*b + 7, 4*f - 3*b = -2*b - 19. Let t = -5.9 + 6. Let n = t - 0.1. Sort n, f, 2\/9 in descending order.\nAnswer: 2\/9, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -c5d9c73?\nAnswer: -c5d9c62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1187328006 to the nearest integer?\nAnswer: 34458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 37 = 3*m, -o + 6*o = 2*m + 134. Let p be (12 - 10)\/(2\/o). What is the greatest common divisor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 22 - 2*g + 154 + 117 + 21 in the form a*g + w and give w.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 32. Suppose -9*g - c = -1. Let y = 5\/4 + -1. Sort g, y, -0.3 in increasing order.\nAnswer: g, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -31, -112, -265, -514, -883, -1396?\n\"Answer: -4*a**3 - 5*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2. Let u(p) be the third derivative of 3*p**5\/4 + 3*p**4 + 9*p**2. Let q(m) = m**2 + 2*m. Let j(x) = 36*q(x) - u(x). Give d(j(b)).\nAnswer: -324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1 - -4) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -537*-60\nAnswer: 32220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqdwdwqddqqqddd. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/70)\/(12\/286570). Let a be 1 + 4765 - (-1)\/(-1). Let h = a - g. Calculate the common denominator of h and 7\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24548235?\nAnswer: 3, 5, 1636549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058621 rounded to 4 dps?\nAnswer: 0.0586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 582, 1165, 1748, 2331, 2914?\nAnswer: 3497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 178 + 382 = 0. Suppose 0 = 3*x + v - 239. Suppose 2*d - 103 = -x. What is the highest common factor of 200 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 2:00 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 2*d)*(-2 - 2 - 4)*(-2 + 1 + 3).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 52*v**3 - 2*v**2. Let b = -3882 - -3883. What is g(b)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/38233 and -3\/14878?\nAnswer: 3288038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*p, 24*i - 29*i + 2 = -3*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yedyeerdderaeyrjr. What is prob of picking 1 j and 1 a?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8190 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 41*i + 29. Give a(-22).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29212128 is divided by 182.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02014 - -242.525.\nAnswer: 242.54514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 196756398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**3 - 1. Let i be r(-1). Suppose 0 = -4*u - i*y + 4710, -2*u + 1542 = 2*y - 814. Round u to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000119985087 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-20) - 32863\/(-12390)) + 25\/(-15)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.09 + 0.09. Is -1\/18 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.58853 times -0.1?\nAnswer: -1.458853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -9. Let c be (-4)\/4 - (i - 4). Suppose 0 = -x - c*x, 0 = -2*s - 5*x + 28. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 76*v**2 - 569*v + 31. Give c(10).\nAnswer: 1941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*a + 52*a + 15. Let x be ((-4)\/(-8))\/((-2)\/(-1308)*a). Let l = -63 + x. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4808*4.\nAnswer: -19232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 3\/4*c**2 + 1\/4*c**3 + 3\/4*c - 14. Factor v(m).\nAnswer: 3*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -0.98. Suppose 12 = 3*y, -y - 1 = s - 2*y. Let g = 2 - 1.7. Which is the smallest value? (a) o (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:19 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(192)*6 - sqrt(192))\/sqrt(8))\/((1*sqrt(392) + sqrt(392))*-2).\nAnswer: -11*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -19. Is h greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -22, 10, 76, 188, 358, 598, 920?\nAnswer: 1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.2 - 9.2. Which is the closest to -1? (a) -0.2 (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 h, and 2 o when four letters picked without replacement from xxahooaaxahoh.\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690678947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 221*g - 36*g + 257*g + 177*g**2.\nAnswer: 177*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s. Suppose t = -2*t + 6. Let z(l) = -t*l**2 - 2 + 2. Determine z(f(n)).\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -j - 36, 14 - 2 = -2*a - 2*j. What is the nearest to a in 3, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 1 + sqrt(720) - (-6*(sqrt(10)\/sqrt(2) + sqrt(5)) + sqrt(5)).\nAnswer: 1 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -956, -1903, -2858, -3821, -4792, -5771?\nAnswer: -6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 911 - -12417.64674\nAnswer: 13328.64674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from {m: 2, d: 6, r: 1, b: 1, l: 4, w: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17842, 17845, 17850, 17857?\n\"Answer: x**2 + 17841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 7*q**2 + 6*q + 3. Let g be p(-6). Suppose 0 = g*f - 29 - 13. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27\/38689 - 3565987\/6383685. Let d = m + -2\/165. What is the nearest to 1 in 0.3, d, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -23*x + 238 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11200980*s**3 - 7*s**2 + 1234 wrt s?\nAnswer: 67205880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272 - 1085\/4. Which is the closest to 1\/3? (a) -10 (b) t (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**4 + 602509*m**3 - 8*m**2 + 1021*m - 103?\nAnswer: -120*m + 3615054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 80194399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 + (5 - 2) - -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.67 less than 3?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2302 - 2302 - 64*d + d - 5 + 5 + (-1 + 4 - 1)*(3 + d - 3) - 1 + 1 - d + (-4*d + 3*d - d)*(-3 + 0 + 5) to t + u*d and give u.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 53 + 20 + 47 - 28 + 7*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s. Let t(d) = 5*d**2 - 4*d**2 + 17*d - 17*d. What is t(k(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 426601891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 3*m + 28. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28365 + -1.54.\nAnswer: -1.82365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7844, -6, 5775 in increasing order.\nAnswer: -7844, -6, 5775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*d + 33 = 5*d, -4*h - d + 61 = 0. Let r(b) = b**2 - 15*b - 11. Calculate the remainder when 13 is divided by r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12090.63 years in months?\nAnswer: 145087.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9594\/(-123))\/2*-2?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -5058?\nAnswer: 1\/2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**2 - 3697 + 4*i**2 - 7*i**2 - 9*i + 7*i**2.\nAnswer: 16*i**2 - 9*i - 3697","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26984*p + 1008. What is the hundreds digit of z(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**4 - 4744*d**3 - 28368*d**2 - 56672*d - 37760 = 0.\nAnswer: -1180, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3898272418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 713 - 175 + t - 186 - 96 to the form c + j*t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 - 1 = 0. Suppose r - 3*v = 4*r - 3, t*r - 22 = 5*v. Find the second derivative of r*k + 5*k + k - 6*k + k**4 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i**5 - 9*i**5 + 6*i**5)*(-3 + 2 + 3).\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -91*f. Let u(p) = 2*p**3 + 9*p**2 - 21*p - 63. Let x be u(-2). Let a(m) = -m. Give x*v(l) + 39*a(l).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v + 19. Let l(n) = 5*n + 2. Give 2*k(s) - 18*l(s).\nAnswer: -80*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 1. Suppose -b - 4*b + 895 = 0. Let t(o) = 0*o**2 + o**2 - 5*o + b - 180. Give t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -495.29895 take away -0.4?\nAnswer: -494.89895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157704?\nAnswer: 2, 3, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*y - y**2 - 368*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5)*(-8)\/36. Which is the second biggest value? (a) z (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24896 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21237 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 1461. Is 66 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1 + 4 + (sqrt(19) - (3*sqrt(209))\/sqrt(11)).\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -352*x - 31. Let i be r(-7). Let l be (2 - (2 + -2)) + 3\/1. Is (-2 - (-24)\/10) + i\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. Suppose k + 1 = -t*k, -a - 4*k = -3. Let s = a - 3. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14349869?\nAnswer: 31, 462899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -21508632.\nAnswer: -21508622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + d - 2. Let m be t(1). Suppose -m*n + 2*c + 2 = 0, n = 3*n - c - 3. Suppose -2*j = -v - 0*j + 57, 4*j = n*v - 228. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**0\/r))**(28\/9)*(r**(1\/2)*r*r*r)**(3\/2))**37 assuming r is positive.\nAnswer: r**(15281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 532807 (base 12) in base 9?\nAnswer: 2417287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133, -258, -379, -496, -609?\n\"Answer: 2*d**2 - 131*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1324, -7422, -18296, -33946, -54372, -79574, -109552?\nAnswer: -144306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 2. Let p(t) = -t - 2. Let f(z) = 4*p(z) - 3*u(z). Let k be f(-6). Suppose 5*q = k*q + 7700000. Round q to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v**4*v)**(-2\/7) assuming v is positive.\nAnswer: v**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 95 = -2*a + 2*u, -4*a + 2*u - 210 = 0. Let g be (-265)\/a + (-4)\/(-22). Let t be ((-6)\/(-15))\/((-3)\/g). What is the closest to 2\/5 in -0.4, -3\/7, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = i + 6, 0 = o - 3*i + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*h - 1294 + 569 - 535 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 - 5618*i**2 + 367560*i - 361944 = 0. Calculate i.\nAnswer: 1, 66, 2742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -303120012113 (base 4) in base 8?\nAnswer: -63300627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1691832 is divided by 76901?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-324)\/(-15) + -1 + (-6)\/(-15). Suppose -700 = -j*f + 16*f. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 226863 and 2?\nAnswer: 453726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390767685.\nAnswer: 3, 5, 7, 11, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*f - 5*f**3 + 172*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. Suppose 0 = -f*y - 2*y + 290. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1507609878?\nAnswer: 2, 3, 17, 14780489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -150, -153, -156, -159, -162?\n\"Answer: -3*v - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0338 - 0.0364615. Round s to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 48 + 162. Suppose -c*d + 17*d - 30 = 0. Calculate the smallest common multiple of 30 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -124932.\nAnswer: 1\/41644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -21*a**2 - 128*a - 10. Let c be g(-6). Let d(x) = 10*x + 2. Let l(p) = -220*p - 45. Determine c*l(i) + 45*d(i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*c**4 + 151*c**2 wrt c?\nAnswer: 1200*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229\/2 + -1141\/10. Factor 0*t - 2\/5*t**2 + a.\nAnswer: -2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*8\/8*-1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 142076?\nAnswer: 15\/142076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*a - 10592 + 2636. Which is smaller: a or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0.4. Let l = 2.1 - m. Sort l, 1, -0.03.\nAnswer: l, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516654 to the power of 1\/2, to the nearest integer?\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 3*p - 6. Let v(q) = -q**2 - 3*q - 5. Let w(m) = 2*a(m) - 3*v(m). Let f be w(4). Does f = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:16 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 21. What is the remainder when (0 - 35)*(-8)\/(-1)*167\/(-334) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11814 and 3043?\nAnswer: 200838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6648)\/84 + 8976\/(-231) + 39?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17197 is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*s + 6*a*s**2 - 11*a*s + s**2 + 426 wrt a.\nAnswer: -6*a**2*s + 6*s**2 - 11*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -906*h - 664.\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -249 (b) -3\/8 (c) 1\/4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13894*u. Let y(h) = -4623*h**2. Calculate y(b(x)).\nAnswer: -892438880028*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507*y - 509*y + 4 = 0. Find the third derivative of 57*j**3 - 14*j**2 - 9*j**2 - 23*j**y wrt j.\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s**3 + 760*s**2 - 6514*s + 26. What is j(10)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2049 (b) 9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 622959290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - 4*p**2 - 2*p + 10. What is the hundreds digit of j(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*j + 5, -11*z + 1 = -4*j - 16*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaaa when four letters picked without replacement from iaaaiaiiiaiiaiaaiaia.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.19, 0.3, -2, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**2 + 4*k**2 + k**3)*(-3 + 4*k + 3) + 7*k**2 - k**2 + 0*k**2 + 6*k**4 to y*k**3 + g*k + s*k**2 + x*k**4 + q and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 3. Let a be f(5). Let y(r) = -r**3 + 3*r**2 - r - 2. What is y(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440 divided by -3\nAnswer: -440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 5 + 1)*0. Suppose j = 62*c - 66*c + 15956. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-222*b**2 - 123035*b + 123035*b)*(17 + 43 - 30) in the form c*b**2 + a + r*b and give c.\nAnswer: -6660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - 1 - 24 - -19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429213?\nAnswer: 3, 173, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 448430*h**4 - 4*h**2 - 295*h + 22?\nAnswer: 5381160*h**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/((-5)\/(-4100)*10). Is 1149 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:03 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176*b**6 - 61*b**2 wrt b?\nAnswer: -21120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12328 and 644?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/6 equal to -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 4\/2173, 125?\nAnswer: 4\/2173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 31 - (-178)\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/355395 and 88\/223155.\nAnswer: 9595665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 5*g + 11 + 0*g**2 - 29 + 3*g**2 + 17 in the form q*g**2 + p*g**3 + f*g + t and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {u: 5, r: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1717213*h**2*p**2 - 22*h**2*p + 585*h**2 - 3*h*p + 3*p - 3 wrt p.\nAnswer: 3434426*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -16, -2, 3, 1, 617 in descending order.\nAnswer: 617, 3, 1, -2, -5, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(1 - 1 - 2) - 1 + 3 - 4 + 4 - 2 - 1 - 4 + 6 - 7)*(77*t + 4*t + 54*t)*(1 + t**3 - 1).\nAnswer: -1350*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*f + 4*z, -22*f = -21*f + z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-22))\/((-24)\/(-33))*(-24)\/2\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 147?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n**2 + 6. Let u be (-7)\/(-28) + (-66)\/8. Let g(r) = -r - 8. Let d be g(u). Calculate o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42006 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 1 - 1 - 3*q)*(2169*q + 12225*q - 4810*q) as j*q**2 + u + r*q and give j.\nAnswer: -28752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-303)\/33 - (-10)\/55. List the prime factors of -1 - -2 - 486\/d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojtocjtocdccjctcccjj. What is prob of sequence jdo?\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4083\/22 + -181. Let a = 5735 + -332619\/58. Calculate the common denominator of v and a.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.897658 decades?\nAnswer: 98.97658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = u - 5*u. Calculate the least common multiple of 2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 5 + (-8 - -2). Let l = 1 - w. Differentiate -34*f**2 + 34*f**2 - 4 - l*f**4 with respect to f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4 + 334*a**3 + 336*a**2 = 0?\nAnswer: -1, 0, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*f - 9, 0 = 2*j - 0*j + 2*f - 14. Let b = 614 + -206. Let l be 2\/5 + b\/30. Solve -4*k + l = p, -k + 5 = -5*p + j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {w: 3, m: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17042 - -79982. What are the prime factors of g?\nAnswer: 2, 3, 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 6 - 47*d**3 - 3 - 85*d**3.\nAnswer: -133*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 0*k**3 - 58 - 35\/4*k**4 + 16*k + 0*k**2. Differentiate d(x) with respect to x.\nAnswer: -105*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20021212110022 (base 3) in base 13?\nAnswer: -900b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7368\/5, -0.1, -9, 0 in decreasing order.\nAnswer: 0, -0.1, -3, -9, -7368\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 234 (b) 31 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ca40 (base 13) to base 4.\nAnswer: -31311123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhj when three letters picked without replacement from uhhnhucuuuunnjn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-3)\/3*1*1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 530453166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 8:28 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 k when three letters picked without replacement from {g: 4, d: 11, k: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8322 and 68.\nAnswer: 282948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 8*a + 1128880 - 1128858, -5*a - 17 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:26 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53, 84, 107, 116, 105, 68, -1, -108?\n\"Answer: -b**3 + 2*b**2 + 32*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -56c7a (base 13) in base 10?\nAnswer: -158116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 321830 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/6)\/((-2)\/(-84)). Let x = q - 9. Suppose -m - x = -3*m - 4*u, 0 = -m - 5*u. What is the least common multiple of m and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9 and 119\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/3)*g)*g)**21\/(g*g**0)**(-33) assuming g is positive.\nAnswer: g**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773950870?\nAnswer: 2, 5, 7, 11, 1005131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2817 + -0.5.\nAnswer: 2816.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007568 to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**4\/7 + 316*z**3\/7 + 6396*z**2\/7 + 6084*z\/7 = 0.\nAnswer: -39, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-1 - ((-2 - -8) + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 532 + -1018. Let u = x + 488. Let r be (0 + -2)\/(-1) - -8. What is the smallest value in r, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5762*m + 4142*m - 157140 for m.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and 41\/374.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.252092 times 1.26?\nAnswer: -0.31763592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*i - 1380*i - 5*i**2 + 691*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + 594*g**2 + 117612*g + 7762392 = 0. What is g?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from kkmoklkqnqnqkok.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 - 19*l**3\/6 - 23*l**2\/2 - 34*l. Let q be j(20). Let k(r) = -6*r + 1. Let u(t) = 5*t - 1. Calculate q*u(b) - 2*k(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*sqrt(475)*6 + (sqrt(475) + sqrt(475) + sqrt(475)*2*2)**2*-2.\nAnswer: -34200 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 7:19 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 1*-5)*1. Let t = -4 + 2. Let x be (t\/(-4))\/((-1)\/(-8)). Solve -x = -j*z + 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 63 = 5*w - 2*v, 15 = -5*w + 5*v. Let x be (-1)\/4 + (-5)\/(-4). Let p(m) = 7*m**3 + m**2 - 1. Let q be p(x). Solve 4*n - w = q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wzwypwyyyww?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**2 + 2. Let w be (18\/(-8))\/((-9)\/24). Suppose 2*l = -2*j + 30, 2*j - w*j = 5*l - 72. What is the remainder when d(-2) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5573*y + 182416 = 2065*y for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 - (-226 - (107 - 117))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(684)*-3.\nAnswer: -18*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = -3*u - 5, 0 = -u + 4*o + 13. Suppose 2*v + t = -u + 3, 10 = v - 4*t. Solve -5*a + 4*k = -23, -3*k - v*k = -3*a + 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -9, -3, 5, 15, 27, 41?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45284 or -7471754\/165?\nAnswer: -45284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289805, -290117, -290429?\nAnswer: -290741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1397, 1394, 1389, 1382, 1373?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -9\/5 (d) -1\/130 (e) 2\/3 (f) -1\/7 (g) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 334257220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/280)\/(((-218)\/(-2))\/((-215)\/43))?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2. Let l(b) = b**2 + b - 1. Let y = 89 + -91. Let o be l(y). Let i(w) = w**2 + w. Give o*n(r) + 5*i(r).\nAnswer: 2*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-60)\/(-3)) + 1\/4. Solve u = 2*f + 21 - 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 4:16 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, f: 4, h: 5}. What is prob of sequence ehf?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -34 + (-12)\/5 + 30\/75?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 108739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t**5 - 18*t**3 - 5*t + 3 wrt t?\nAnswer: -60*t**3 - 108*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3+2.731458\nAnswer: 5.731458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 20*u + 4*q = 1150, -q = -5*u + 5855. What is the greatest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 91567190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81562, -81479, -81396, -81313?\n\"Answer: 83*r - 81645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 11476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 172893156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10750563 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 53 - 7 = 0. Suppose 0*q + g = -5*q. Let h be q\/(-10)*(15 - 0). Calculate the highest common divisor of h and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 12*f**2 + 2*f + 26. Let o be z(-12). Suppose 0 = -5*m + o*m - 18. Let s be 139\/(-5 - (m - -2)). Round s to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 205 + 9. Let o be 0 + 0 + 52\/4. Let c = o - -1. Calculate the greatest common divisor of g and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07554068 rounded to 3 dps?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, -137, -463, -1097, -2141, -3697, -5867, -8753?\n\"Answer: -17*u**3 - u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 5:48 PM?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 5*k**2 + 6*k + 6. Let o(r) = -3*r**3 + 4*r**2 + 7*r + 6. Let h(w) = 4*c(w) - 3*o(w). What is the tens digit of h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25652012413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 0. Suppose y + 1 = -d*y. Suppose 2*n + 5 - 7 = 0. Sort -2, y, n in descending order.\nAnswer: n, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otto when four letters picked without replacement from {o: 5, t: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 36*o - 505. What is the hundreds digit of h(-51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8556803 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, -2\/7, 0.2, 145, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36316 + -36301. Calculate the smallest common multiple of w and 118.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 10:08 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -3*g - 78*g - 2250 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -19, -36, -57?\n\"Answer: -2*w**2 - 7*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/10)*h**(8\/5)*h*(h**(-2))**(-31) assuming h is positive.\nAnswer: h**(131\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*-12 - 16\/(240\/(-405)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*f + 7*f = -14, -11*f = a - 241. Let k(u) = -10*u. What is the remainder when a is divided by k(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q**2 + 4*q - 23. Let j be k(-6). What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-120)\/6)\/(-10) - -9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o - 6*o + 2*o**2. Suppose x - 6 = -x. Let p(q) = q - x*q - q. Determine j(p(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 2. Let i(l) = 11*l + 692. Determine -3*f(x) - i(x).\nAnswer: x - 698","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390809939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - f**4 - f**5 - f**5 + (-2*f**4 - 2*f**4 + 2*f**4)*(0*f + 0*f + f) + f**5 + 2*f**5 + 0*f**5.\nAnswer: -f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 4 - (-3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74826550523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*0\/(28\/(-7)). Let m(u) be the third derivative of 5*u**4\/24 + 197*u**3\/6 + 16*u**2. What is the hundreds digit of m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13428, -26864, -40302, -53742, -67184, -80628, -94074?\n\"Answer: -f**2 - 13433*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 15*k + 33. Let c be b(17). Put -2, 4, c, 1 in ascending order.\nAnswer: -2, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -2) + 2\/(-7). Let t(x) = x + 10. Let f be t(-7). Let j be (4\/(-50))\/(f\/(-30)). Sort 3, j, i in ascending order.\nAnswer: i, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uujk when four letters picked without replacement from {k: 2, j: 4, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/((-4484)\/(-531)))\/((-3)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -196*f - 13. Give c(-2).\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46a6715 + -1?\nAnswer: -46a6716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, c: 1, o: 6, k: 3, h: 1, a: 1}. Give prob of picking 2 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 37*s + 34. Let r(f) = -13*f - 12. Let y(g) = -6*o(g) - 17*r(g). Let h be (-21)\/6*(-24)\/14. Let w(j) = -7*j. Give h*y(a) - w(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 224*j**2 - 4*j - 321*j**2 + 39 + 80*j**2 in the form z*j + n + v*j**2 and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9) + (-1 - -2 - 1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8*u**2 + 17*u + 77. Let r be l(-9). Suppose 2*t - 21 = -r*b, 49*b + 56 = 4*t + 45*b. Solve -5*x + 0 = 5, t = 4*w - x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 16, 1\/4, -10, -0.5, 1\/5 in decreasing order.\nAnswer: 38, 16, 1\/4, 1\/5, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -g + 92, o - 4*g + 2*g = -22. Let x = -6 + 4. Suppose 5*p + 5*a = -26 - 4, 0 = -5*p + a - 24. Put o, x, p in increasing order.\nAnswer: o, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 10. Sort y, -0.3, -0.2 in decreasing order.\nAnswer: y, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 - -142. Let m be (-2)\/x*-6*4*2. Let v(d) = -d. Calculate v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 9*n - 6. Let t be m(-7). Let p = 5 - -1. Let z be (-15)\/p*(-24)\/20. Solve z*s - t = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55512 is divided by 98?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 3 + 3)*(-29*l**3 - 8*l**3 + 18*l**3) + (1 - 3*l**4 - 1)*(-13*l + l - 7*l) + (1 - 3 + 1)*(1 - 1 - 2*l**5).\nAnswer: 116*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 17*a**2 + 124*a. Let t(p) = 14*p**2 + 125*p. Give -3*s(m) + 4*t(m).\nAnswer: 5*m**2 + 128*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**6\/12 - 12*a**5\/5 + 81*a**4\/4 - 88*a**3\/3 - 363*a**2\/4 - 1113. Suppose t(d) = 0. Calculate d.\nAnswer: -1, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 4*k**3 - 2*k + 3*k - 11*k**3 as i*k**3 + v + p*k**2 + f*k and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6164 and -3\/8.\nAnswer: 12328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44941 = -2*k + a, -3*a - 83033 = -5*k + 29319. What are the prime factors of k?\nAnswer: 23, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 3*q - 4. What is d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6*t - 42 = -3*t, 3*z + 5*t + 22 = 0. What is the common denominator of 87\/2 and (z\/4)\/((-6)\/(-29))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 + 85. Let q be (r*(-9)\/(-3))\/((-3)\/147). Let o = q - 120. What is the least common multiple of 3 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-42))\/((-73)\/(-365)*10\/(-7))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137165\/278 - 987\/2. Calculate the common denominator of q and 43\/2.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 547465 from 1.74472.\nAnswer: -547463.25528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g - 4. Solve 5*s + n + 27 = g*n, -16 = 4*s - n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 7 - (-1 + (-10)\/1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -31, 435, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1476547.99343026719 + -1.39370026719. Let k = r + -1476540. Let j = -6.6 + k. What is j rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 16*g**2 - 6*g + 98. Let i be m(16). Sort -1, i, 7 in ascending order.\nAnswer: -1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32393744, 32393745, 32393746, 32393747, 32393748, 32393749?\nAnswer: 32393750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vivvq. Give prob of sequence qv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 657833 = -12*h + 3113110. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 8:17 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21641 divided by -67.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1\/((-3)\/4))\/((-364)\/91)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.1 - 10.3. Let h = 2.95 - z. What is h rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -5*o**6\/6 + 3*o**5 + 85*o**4\/4 + 15*o**3 - 40*o**2 - 60*o + 1050. Suppose h(i) = 0. Calculate i.\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(75) - (sqrt(75) + 1)*3 - sqrt(75)) + 6*(sqrt(18)*1)\/sqrt(6)*1)**2 + -5.\nAnswer: 72*sqrt(3) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 3499\nAnswer: -1049.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19663*f - 19663*f + 39325*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -74.5592650918 + -0.3\nAnswer: -74.8592650918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q - 7. Let k be a(5). Suppose -2*p = 2*r - 12, -4*r + 5*p = -0*r - 15. Suppose u - r*u = -k. Solve u*m - 2*y = -16, 4*m - 6 = 2*y - 32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from dsakkd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, -1\/3, -13 in descending order.\nAnswer: 0.3, -0.1, -1\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j + 5*j**2 + 8*j)*(-37*j + 16*j - 5*j - 20*j).\nAnswer: -230*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81607669 to three dps.\nAnswer: 0.816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4290 is divided by 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220385 is divided by 306.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**8\/336 + i**6\/180 - i**3\/3 + 4. Let j(s) be the third derivative of c(s). Find the third derivative of j(p) wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 37241720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1760275 is divided by 293068.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, -28, -64.\nAnswer: -64, -28, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 14)\/((-7)\/(14\/(-4))). Suppose 4*u - 1000 = 2*y + 1588, -o*u - 5 = 0. Is 56 a factor of ((-3)\/(-4))\/((1 - 4)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 1314 - 205476 = 231786. What are the prime factors of z?\nAnswer: 2, 17, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -51. Suppose -3*b + 85 - 25 = l. What is the tens digit of -3 + (3 - (-4 - -2)*b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**7\/1260 - p**6\/360 - p**5\/30 + 7*p**4\/24 + 8*p**2. Let x(v) be the second derivative of g(v). What is k in x(k) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.4 (b) -0.1 (c) 227 (d) 6\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uquviquuiv. Give prob of sequence ii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11521359?\nAnswer: 3, 17, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*j + 9, -5*x - 26 = -x + 2*j. Let v = x + 6. Sort 0.3, 4, v in descending order.\nAnswer: 4, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194564?\nAnswer: 2, 127, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -676725 + 7?\nAnswer: -676716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 3*c + 0*c - 1 + 0*c + 4*c - 5*c + (-c - 1 + 1)*(-2 + 1 + 2) to the form u + d*c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -15*f + 33. Let q be 0\/(-5 + f\/1). Is -4\/39 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 3\/2, -6, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/308719 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 15, -3*g + 7 - 2 = -f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p, -5*x - 3*p + 344 = 28. What is the greatest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221\/173534 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 1\/336*d**8 - 16*d**2 + 0*d - 1\/120*d**6 + 0*d**4 + 0*d**3 + 0*d**5 + 0*d**7 + 0. Factor p(c).\nAnswer: c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21*w**3 + 4492*w**2 - 451*w - 4914. Give x(-214).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 11 = 12*k + 4*d, 5*k - d - 14 = 0. Suppose -27 = -3*g + k*b, 2*b + 25 = 19. Let y(f) = -3*f + 12. Determine y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118.555 + -1.655. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 10:05 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*l + 14, -3*l = -n + 4*n + 12. Let i be n\/(-9)*6 + 37. Let y be (-2)\/(i\/(-3) + -2). Do y and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2043 = 29*p + 1492 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - 4*a - 2*a - 5*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29f3e - -4?\nAnswer: 29f42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2061460077)\/437 + 2\/(-38). What is y rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-2)\/10 + (-416)\/195). What is the nearest to i in 3\/5, -3, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**4 - 37*w**3 + 205*w**2 - 195*w - 450. Let l(n) = 2*n**4 - 4*n**3 + n**2. Let u(x) = -g(x) - 2*l(x). Solve u(c) = 0.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -326, -696, -1054, -1394, -1710, -1996, -2246?\n\"Answer: n**3 - 377*n + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9332 and 119988523.\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n - 3*n + 4*n**2 + 1 + 9*n**2 - 2. Is p(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132*(-228)\/(-144)*(-30)\/(-220)?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*m**5\/9 - 85*m**4\/3 - 1081*m**3\/9 - 220*m**2\/3 + 212*m\/9 + 32\/3 = 0.\nAnswer: -2, -1, -3\/10, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(-9*60\/200).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2382*v**4 + 1427 wrt v.\nAnswer: 9528*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 47 = -25*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.032144?\nAnswer: 0.0128576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-6 - (1 + -5) - 3) + 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (112\/(-21) + 4)*(-609)\/182. Which is bigger: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 278*r**2 - 207*r - 50. Let n(d) = 278*d**2 - 206*d - 45. Let v(x) = 9*b(x) - 10*n(x). What is the second derivative of v(u) wrt u?\nAnswer: -556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(768) + sqrt(48) - (sqrt(3) + (sqrt(3) + 0 + sqrt(3))*5))*6.\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5268 = 236*s + 226*s + 2034 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18*-1*-8 + 0. Let g = 60 - i. What is the tens digit of g\/(-4) - 2 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3463.845 micrograms to nanograms.\nAnswer: 3463845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2 - 216749635*r + 108374815.\nAnswer: 5*(r - 21674963)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 4*w - 2. Let s be (-1)\/((-9)\/(-6))*(-6)\/4. Suppose -2*m - 7*x = -4*x - s, -4*m - 5 = -x. Let j be (-26)\/(-8) + 9*m\/(-12). Give f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19273607?\nAnswer: 19273607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 10*n + 6 = 0. Suppose 596 = n*t + h, -t + 3*t - 3*h = 390. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-40)\/(-50))\/(3\/(-5) - -1). Let y(r) = -12 - 10*r**2 - 1 - 4*r + 2*r + 11*r**g. Let f be y(7). Calculate the highest common divisor of 176 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 - 10 - 421*s - 5*s**4 + 420*s - 2*s**4 to the form j*s + g + a*s**3 + b*s**2 + u*s**4 and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 3*w - 4*k + 952 = 0, 0 = -5*w - 3*k + 949. What is the highest common divisor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 58. Let f = -13 + h. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 20. Let o be r(5). Suppose -c + 18 = -2*c - o*p, -6 = -3*c - 3*p. Let s(g) = -17*g. What is the remainder when s(-1) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-75)\/(-2) + 42\/(-28). Let o = 83 + u. What are the prime factors of o?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -144 - (775 - 832)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n. Let a(r) = 83*r**2 + 18*r - 111. Determine m(a(k)).\nAnswer: -415*k**2 - 90*k + 555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*l + 27 = -54, 18*l - 13*l + 90 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) - 4\/(-6). Suppose -5*b + 2 = -z - 16, 3*z = -b - 6. Suppose -f = t, f - 6*f + 9 = -b*s. Let r(m) = m**3 + 4*m**2 + m + 1. Determine r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 21*x**3 - 3*x**2 - 5*x + 16. What are the prime factors of p(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 115 = -2*m, -2*m = 3*g - 5*m - 372. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 17*g - 18*g + 4354 = 0, 2*m = -2*g + 2186. What are the prime factors of m?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -603963 divided by 666\nAnswer: -67107\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4419 + 14?\nAnswer: -4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245934 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.8. Let r = -813 - -1078. Let d = r + -260. Sort 0.3, d, 0, o in ascending order.\nAnswer: 0, o, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, q: 3, e: 8}. Give prob of sequence qfee.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 11360402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -474 - -465. What is the nearest to -0.1 in 1\/7, 2\/15, z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - i. Suppose -4*s + 231 + 345 = i. List 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 -0.05? (a) 0.3 (b) 4 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 - k + 4. Let l be a(-6). Suppose 4*y - o = 17, 3*o + l = 2*y - 1. Solve -y*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-48))\/((-44)\/(-396))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -433*t + 3440. Determine k(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -23. Let u(z) = 5*z**3 + 7*z**2 - 24. Let o(y) = -6*y**3 - 6*y**2 + 23. Let t(h) = f*o(h) + 6*u(h). Find the first derivative of t(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15\/7))**(-1\/6)\/(d\/((d*d*d\/d**(-3))\/d)*d)**(2\/41) assuming d is positive.\nAnswer: d**(289\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-7 - -11) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1164 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 726505*r**2 - 726536*r**2 - 20.\nAnswer: -31*r**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:37 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(98) - (sqrt(98) + (sqrt(98) + -1)**2)) - 4*(-3 + sqrt(98)) - ((-4 + sqrt(72)*1)**2 + 2*sqrt(2)*-6 + -1).\nAnswer: -171 + 46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-14 - -10 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1291944 and 430648?\nAnswer: 1291944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4390819.\nAnswer: 157, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -215226 and 2.\nAnswer: -430452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16886 = q - x, -3*x + 84428 = 5*q. Suppose -152715 - q = -4*l. Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.79 - 0.21. Let x = -11.11 - a. What is x rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 2, c: 3, g: 6, a: 2}. What is prob of sequence ckg?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + l + l + (5*l - 3*l - 4*l)*(-5 + 1 + 2) - 4 + 8*l + 4 - 66 + 19*l + 63 + 11*l.\nAnswer: 41*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.08 + -30. Which is the third smallest value? (a) -0.1 (b) -3\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10354, 0, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b - 1904 + 27*b + 1904.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k = 63*k - 620. Let p be k\/(-20) - 6 - 2\/10. Solve -3 = -5*i + v - 25, -4*i + 5*v - 26 = p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, 4715, 5\/38?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013130 (base 4) to base 12.\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -42539 - 223633. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/7 and 35\/634.\nAnswer: 4438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:02 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*10\/(-105))\/((-2)\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78210 = 8*n - 4646. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvbvrqvyvqqqyqbbyq. What is prob of sequence bbp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * -6901.\nAnswer: -186327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -945657 (base 10) to base 3\nAnswer: -1210001012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8831 greater than 372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlly. What is prob of sequence yn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9 - 4*s + 5 + 5*s - 7. Let d(v) = -v - 6. Let q(c) = 5*d(c) + 4*y(c). Determine q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 227*m**6\/10 + 481*m**2 + 87*m. What is the derivative of y(u) wrt u?\nAnswer: 2724*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g + 2. Let f(s) = -11*s - 7. What is -2*f(k) - 9*i(k)?\nAnswer: -5*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146366341.\nAnswer: 11, 13306031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 5*q**2 + 3*q. Let t be d(2). Let v(b) = -b**2 + 6 - 2 - 48*b + 4 + 37*b. Is v(t) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*y**2 - 67*b**2*y - 1313*b + 2*y**2 wrt b.\nAnswer: -12*b*y**2 - 134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.148, -13, -0.5?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1607080150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or 32?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 15. Let i be f(6). Suppose i = 4*u - u. Suppose 5*s - 18 = u*s. Calculate the least common multiple of s and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.54 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -204 or -201?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25144 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(15\/(-4)) + 5882\/(-3633)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -2*q - 6, 3*q + 4*s = -31. Let d(y) = -2*y**2 - 7*y - 8. Suppose 4*o + 8 = -0. Let n be d(o). Which is bigger: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.8 - 7.5. Sort -4, f, -8 in decreasing order.\nAnswer: f, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from {d: 1, f: 4, j: 8}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 168\/4 + (-113122)\/2429\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4 - 0 - 80\/32. Put 0, 5, w in descending order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -p + 18, h + 9 = 3*p + 3. Suppose p*i = 34 + 17. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -5 - -1) + -7 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -662725*s**3 - s**2 - 3*s - 2. Let v be l(-2). Let m = -4890892 - -8592692. Let u = m - v. Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.83469282 rounded to 1 dp?\nAnswer: 38.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 q when three letters picked without replacement from qqnkbqvqbq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9210 by -30.\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 2*y - 51, 0 = 5*b + 2*y - 59. Suppose -9*d = b + 304. Let j be 3 - (-21)\/3*(-10)\/d. Solve j = 3*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*g - 47, 4*g - 2 = 3*w - 39. Which is smaller: g or -59\/7?\nAnswer: -59\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 14*q + 14 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 + 152 + 151 + 154 - 609 - 7*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) + sqrt(132) + (sqrt(132)*-1 - sqrt(132))))*-1 + sqrt(132))\/(-2*sqrt(432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(((t**(24\/7)*t)\/t)\/t))*t**12 assuming t is positive.\nAnswer: t**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 68. Suppose 5*i = 2*y + 29, -i = -3*i - d*y + 6. What is the third derivative of 4*c - 4*c - 19*c**2 - 6*c**i - 3*c**5 wrt c?\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/l)\/(l*l\/(l*l\/((l**1*l)\/l))*l)*(l**(-1\/4))**(10\/9) assuming l is positive.\nAnswer: l**(-71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68401 - 68399 - 9*d**3 + 6*d - 2*d**4 + d**2 + 0*d**4 to the form l*d**4 + y + m*d + x*d**2 + o*d**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -x - 19, 2*x - x + 4*l = -11. Let a = -3 - x. Suppose -a = -2*z - 2*z. Solve z*r - n = -2*n, -r = -2*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -148484808.4 and -0.01?\nAnswer: 148484808.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let a = -2.38 - 0.12. Let k = 0.5 + a. What is the closest to 1 in k, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1287.5 + -1290.3513. Round d to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 17\/6*w**3 + 0*w - 1\/24*w**4 - 26 + 1\/60*w**5 - 2*w**2. Give m(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*c - 16*c - 43*c + 192*c**3.\nAnswer: 192*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 2:02 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 217*w**3 - 3*w**2 + 4*w - 1. What are the prime factors of s(1)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 89, 301, 711, 1385, 2389, 3789, 5651?\nAnswer: 8041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008403 to five decimal places.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 54*r**3 - 757*r**2 + 1311*r - 30. Calculate l(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 127387?\nAnswer: -7643.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-3\/4))\/(t**(1\/4)*t)*(t\/(t*(t*t**(2\/7)*t)\/t)*t)**(-2\/7) assuming t is positive.\nAnswer: t**(57\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, b: 1, k: 4, j: 1, y: 1}. What is prob of picking 1 j and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from innwwwnwnnnnwwnvvwn. Give prob of picking 3 n and 1 v.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 648, 1298, 1948, 2598, 3248?\n\"Answer: 650*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6598700 to the nearest one hundred thousand.\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/11 and 13\/2279.\nAnswer: 25069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h**4 + 14381*h**3 - 54030*h - 29.\nAnswer: -108*h**2 + 86286*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 + 0.4. Let i = -7.7 + 11.7. What is the nearest to -1 in i, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/40)\/((-2)\/16*-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(60)\/(sqrt(12) + ((sqrt(24)\/sqrt(2) - sqrt(12)) + sqrt(12))*4 + sqrt(12))*-5.\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1 + 2*s - 7*s + 4*s. Let v be k(-6). What are the prime factors of (6 - v)*42\/2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 32*s + 348. Calculate v(-41).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 569839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 2*f - 1. Let r be n(6). Round r to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -454537040*l**3 - 4*l - 19816797.\nAnswer: -2727222240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*r - 50690 - 1142102 - 95227. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 4*m**2 + 4*m - 4. Let q be t(-5). What is the nearest to q in -0.3, -1, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-11)\/(99\/4)) - 2. Factor -1\/4*c**5 - o*c**2 - 3\/4*c**3 - 3\/4*c**4 + 0*c + 0.\nAnswer: -c**2*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110121235.\nAnswer: 5, 7, 47, 66943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36651387 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14.103 and 62.\nAnswer: 76.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -894 - -909. Let n be (-1 - 2)\/3 + 6. What is the greatest common factor of y and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idlji. Give prob of sequence ii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/3)\/((-1)\/(-6)). Let o(p) = -p + 4. Let z be o(h). Suppose 156 = 3*n + z. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -533\/496 + -7\/62. Calculate the common denominator of t and 91\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 30*q - 44. Give v(-7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*j**2 - 1233*j - 1260*j + 3792*j - 1299*j.\nAnswer: -467*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37062\/222 - 10\/(-185). Sort c, -4, 0, -5, 3.\nAnswer: -5, -4, 0, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 15*h. Let z(r) = 2450290*r. Determine j(z(i)).\nAnswer: 36754350*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and (1 - 3) + 3*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/7 - 552*y**2\/7 + 1107*y\/7 - 554\/7.\nAnswer: -(y - 1)**2*(y + 554)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*o - 56*o = -18. Let u(v) = v**3 - 5*v**2 - 5*v - 11. What is u(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, -36766, -16 in increasing order.\nAnswer: -36766, -16, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53858185 to the power of 1\/2, to the nearest integer?\nAnswer: 7339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58892002 + -2?\nAnswer: -58892004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -51054.13 to the nearest 1000.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 12) in base 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 737929*o - 737924*o = -25, 5*o = 19*b - 140 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-4\/17)*z))\/(z**4\/z) assuming z is positive.\nAnswer: z**(-47\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 16 (c) 0 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w. Let v(b) = -14*b. Let h(f) = 7*f. Let y(o) = -13*h(o) - 6*v(o). Determine y(x(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*u = 8*t - 40, 2*t - u - 23 = 0. Let r = -8 + t. Solve 0 = y - 4, 4*y + 2 = 2*m + r*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*x - 341184 = -11*x. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-10)\/8))\/((-634)\/(-4755))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:30 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34751 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6565 - -6574 - (1 - -42)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -230, -193, -120, 1, 182?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*0\/(-3 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 18 + 14. Let g(u) = u**3 + u. Let q(r) = -15*r**3 - r**2 - 45*r. Let a(f) = d*g(f) + q(f). Find the second derivative of a(z) wrt z.\nAnswer: -102*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqq when three letters picked without replacement from {o: 11, q: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -246648.\nAnswer: -986592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, 76, 112, 148?\n\"Answer: 36*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 11) to base 9.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2454, -2419, -2384, -2349, -2314, -2279?\n\"Answer: 35*z - 2489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1312560106 at least -1312560106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1370299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25415 - 25415.1. What is the nearest to f in 1.05, 4\/9, -0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:08 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l*w**2 - 216*l*w + l - 550*w**5 + w + 6 wrt w?\nAnswer: -10*l - 11000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 14*j - 39 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -269368 divided by -67342?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 2. Let o = -13 + 18. Suppose -d = -o - 2. Calculate the lowest common multiple of d and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 - 31 = 31*i + 200 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r**2 - 4*r - 1. Let c be w(-1). Solve g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -731, -1, 1\/2, 0.1393 in increasing order.\nAnswer: -731, -1, -0.5, 0.1393, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11 and 7\/(-14) + -1 + 374\/196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/((-6)\/((-12)\/4)). Suppose o - 2*f = f - 18, -2*o - 16 = -2*f. Let z be (o\/(-6)*n)\/9. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*r - 460*r - 3370*r - 2026*r + 403*r.\nAnswer: -4802*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, a: 2, d: 6, p: 1, x: 2}. Give prob of sequence xccd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -108652.\nAnswer: 7\/108652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 2*y - 2. Let r be d(0). Sort 2, 1, r in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 369\/5680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**4\/12 - r**2 - 152. Let q(d) = 14*d**2 + 818 - 818. What is i(q(g))?\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692037, -1384185, -2076333, -2768481?\nAnswer: -3460629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17248100 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -370 in -1, 0.8, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 324 = 15*s. Solve 3*c = -s + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5228422\/117 + 44687. What is the common denominator of 278\/91 - 4\/14 and g?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*h = h - 23, -5*u = 4*h + 37. Let v(l) = l**3 + 5*l**2 - 5. Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 169\/5 + -34. Let z = 2 - 2.5. Put i, z, 1\/2 in ascending order.\nAnswer: z, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = 4*s, -2*j = -0*j - 5*s - 16. Suppose -5*n + 0 = 5*k - 90, -18 = -k + j*n. Calculate the greatest common divisor of 144 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 3. Let q be x(3). Calculate the remainder when 34 is divided by ((-6)\/q)\/(6\/(-81)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 500*t**3*z - 2*t**3 - t**2*z + 56*t**2 - t + 23*z wrt t?\nAnswer: 3000*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, y: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.5, -5, 0.11, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51981294 to the power of 1\/2, to the nearest integer?\nAnswer: 7210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 18*g**2 - 19*g - 41. Suppose 30 = -2*b + 4*q, -5*q + 35 - 40 = 0. Determine u(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 107343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 761626 by -6.\nAnswer: -380813\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -609 + 611. Suppose -5*t + 5*n + 10 = 0, -t - 3*n = -0 - 2. Solve -t*r + 2 = -c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102 - 104) + -6 + 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55816985 smaller than 55816978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 130*h - 75. What is w(1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-7 - -7) + 4 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*l + 1075 - 1655. Let a(s) = -12*s + 6. Give a(l).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265075637 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**2. Let h(o) = -515*o + 1498*o - 599*o + 1. Give h(v(z)).\nAnswer: -2304*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -975 in 0.05, 0.5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(170) - sqrt(170)*-1) - -4*sqrt(170)*2)\/(3*(sqrt(640) + (sqrt(640) - (sqrt(640) - (sqrt(640)*1 - sqrt(640)))))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o**5 - 2*o)*(5 - 3 - 4 + (-2 - 3 + 4)*(-2 - 4 - 5)).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*a + 7, 0 = 2*a - 40 + 48. Let l(b) be the second derivative of b**2 + 0 - 1\/2*b**j - 5*b. Calculate l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 498614 - 2274184. What is o rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 13*n + 14. Let q be h(-5). Let l be 1\/((-12)\/(-10) - (q + 2)). Factor -1 - 3*x - 4*x - l*x**2 - 4 + 17*x.\nAnswer: -5*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/(-539) - 1120\/44?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**5\/8 - 659*w**4\/4 + 12433*w**3\/2 + 44903*w**2 + 75276*w + 23328 = 0?\nAnswer: -4, -2, -2\/5, 54, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 - 3.6. Let g = y + 2.8. Which is the third smallest value? (a) 2\/3 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50714191*k**5 + 2507676*k**2 + k - 5 wrt k?\nAnswer: -3042851460*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 33*h - 306 = -458 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(85) + sqrt(85)*-4*-2)\/sqrt(5) - (sqrt(17) + sqrt(425) + -3 + 4))**2.\nAnswer: -616 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -1\/7, -8.151, 4 in descending order.\nAnswer: 4, 2, -1\/7, -2, -8.151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 251, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39733456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (56\/42)\/(14\/(-3)). What is the closest to 2 in -0.058, b, -2?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**3 - 10*l**2 + 8. Let j(o) = -6*o**3 - 11*o**2 + o + 9. Let m(h) = 4*j(h) - 5*s(h). What is the units digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, w: 8}. Give prob of sequence wvvv.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-5*d**2 + 2*d**2 + 2*d**2) - 3 + 3 + d**2 + (-1 - 1 + 6)*(4*d**2 - 5*d**2 - 3*d**2).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202*f**5 + 11*f**4 + 10*f**3 + 79053*f**2 + 14*f?\nAnswer: 12120*f**2 + 264*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 45*h + 17 = -48*h, 4*h + 1 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/75179375 and -57\/25?\nAnswer: 75179375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771987?\nAnswer: 3, 17, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60.128*-0.027.\nAnswer: -1.623456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:57 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 9*q**2 + 9*q - 4. Let g be z(8). Find the second derivative of 6*j - j + j**g + 2*j**4 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 27*q + 105 = 0. Let s = -14 - q. Sort s, -2\/5, -1.\nAnswer: -1, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 3 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2626129, -2626138, -2626147?\n\"Answer: -9*w - 2626120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (5 + 4)) + (-23 + 35 - 25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {j: 1, f: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -36, -72, -132, -222, -348, -516?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -0.03, 2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 19. Give o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -140, -926, -2914, -6662, -12728?\n\"Answer: -93*j**3 - 43*j**2 - 6*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -35*r. Let y(b) = -8069*b**2 - b - 58. What is y(u(a))?\nAnswer: -9884525*a**2 + 35*a - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(91)\/(sqrt(28)\/sqrt(4)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjmjm. Give prob of sequence jm.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41904192 divided by 2619012.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 13 - 4*g**2 + 13. Let h be 9 + 2 + -4 + -3. Let f(r) = -5*r - 10*r + 4 - h. Determine a(f(x)).\nAnswer: -675*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/938315 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*t**2 - 22*t**2 - 24*t**2 - 20*t**2 - 29*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5745 rounded to one decimal place?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i**2 + 72*i + 904. Give q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 - -2 - 7 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -502 - -399. Which is the fourth smallest value? (a) -2 (b) -1\/3 (c) 0.2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -23*x - 781. Let s be r(-34). Let y(h) = 1. Let c(i) = 2*i - 1. Give s*c(a) + 4*y(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 91*z - 571. Let h be q(11). Solve -435*g + 10 = -h*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Let g be 3\/4 - (-116)\/16. Suppose 0 = -t + 2*u + 21, g*t - 77 = 3*t - r*u. What is the remainder when 60 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 53*a + 232 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.602065 - 47.6. What is i rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*q - 3 + 3 + 504*q + 478*q in the form l + b*q and give b.\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-396)\/16)*4. Let g = 145 + a. Is (-1)\/((-4)\/(2 + g)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:08 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 - 4*w. Let g be 2*(180\/(-8))\/5. Let f(d) = d**2 - d. Let x(l) = g*f(l) + 2*i(l). Let k(v) = 2*v**2 + 2*v - 1. Determine k(u) - x(u).\nAnswer: u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003714616 rounded to 5 dps?\nAnswer: 0.00371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 510, -8 in decreasing order.\nAnswer: 510, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 8*r + 2*o - 32, -5*o = 2*r + 64. Let t be (-1)\/(-3) + 137\/3. Let h = t + r. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 - (18\/(-3) + 4) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 10*p - 19*p - 671 + p - 259.\nAnswer: -p - 930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 204372109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*n - 182*n = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*g + 473*g + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**(-28)*y**(2\/9)*y**18 assuming y is positive.\nAnswer: y**(-1096\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -47 (b) 3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 381, 1394, 3377, 6654, 11549?\nAnswer: 18386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 - 24*z**2 - 21*z + 26. Let c be w(-11). What is the third derivative of -c*f**3 - 16*f - 68*f**3 + 35*f - 2*f**2 wrt f?\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from jajjaaj?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**3 - 3*k + 3. What is t(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*y + 10, -1313*s = 2*y - 1310*s + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6901 and 26867?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6. What is the smallest value in 4, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11142350 and 4150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12520153501 - 0?\nAnswer: -12520153501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941452 to the power of 1\/2, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 161*y - 10. Determine t(1).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 1551083364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 104*z + 426. Let w be x(-56). Put 0, 2, w, -1, -4 in increasing order.\nAnswer: w, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/13, 0, 3131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 - 2.2. Let v = n - -0.52. What is v rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 105*q - 130. What is r(-51)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/4*6*(-56)\/42. Calculate the greatest common factor of 56 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 24*o**2 + 292*o - 130. Calculate r(-33).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -62 + 122 + -39?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m**4 - 3*m**3 + 13*m**2 + 3. Let f(z) = -28*z**4 + 5*z**3 - 27*z**2 - 5. Let q(u) = -3*f(u) - 5*i(u). Find the third derivative of q(k) wrt k.\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3908?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -53*b**3 + 10020*b**2 - 571*b + 603. Give h(189).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000355835 to 6 decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 1655859216?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 - 2*m - 1. Let p be -1 + 1*0\/3. Let f be a(p). Suppose -f*z - j + 226 = 0, j + 1 + 3 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = i. Let u be 12\/(-20) + 2\/(-5) - -1. Let t(n) = -2*n**2 - 2*n + 3. Let a be t(u). Solve -a*r + 2*r = 5*o + 12, 5*o = r - i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 652448 and 11168?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -3, 3, 34, 0.5 in descending order.\nAnswer: 34, 3, 0.5, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-2 - (-2 - 0)). Let f(r) = -r - 10. Let y be f(-7). Is c < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/247 and -6 + 4\/6*89\/2.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((957\/110)\/(-29)))\/((25\/(-12))\/5).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b = 42938 - 13120. Let s = 2246 - b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 28. Suppose -4*d + 16 = 0, 2*a - s*d = 5*a - 26. Solve 0 = -2*l - 3*k + 7*k + 22, a = -2*l - 2*k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*j - 6 = 0, 10 = h + 5*j - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2325966*w**3 + 87*w + 138879423.\nAnswer: 6977898*w**2 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4625*f + 8*f**2 + 2263*f + 2362*f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9*-32\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 11*r - 12. Let a = -13 - -39. Let h = 48 - a. What is the lowest common multiple of h and i(8)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1283*p + 300 = 1223*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*w + 3911 = 0, -4*w + 1509 = -5*v - 2404. Let z = v - -1568. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 6*s - 220. Let o(c) = c**3 + 21*c**2 + 22*c - 24. Let i be o(s). Let y = i + 98. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14101003 and 369620.\nAnswer: 282020060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 442211809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 12*n - 3*c - 20, 2*c = 0. Let i(h) = -h**3 + 5*h + 1. Let t(k) = k**3 - 5*k - 1. What is n*i(p) + 6*t(p)?\nAnswer: p**3 - 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 299*c + c**5 - 309*c + (c**3 - c**3 + c**3)*(0*c**2 + c**2 - 3*c**2).\nAnswer: -4*c**5 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2357*c + 4835. Does 247 divide a(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 1, g: 2, o: 7}. What is prob of picking 2 f?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1116 + 44627\/14508. Find t such that -4\/13*t - 2*t**2 - 18\/13*t**4 + 0 - x*t**3 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101110 (base 2) to base 12\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 - 2*a**5 + 4*a**5 - 2*a + a**5 + 2*a + (-1 - a**3 + 1)*(0*a**2 - 2*a**2 - a**2).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4461 = 2889. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 885\nAnswer: -4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwqw when four letters picked without replacement from {w: 3, q: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3610 + 6964. Let u = j - 1749. Suppose -i + u = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 5:15 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 55 + 5\/((-15)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27)\/90*5)\/((-3)\/4). Which is the nearest to 0.3? (a) w (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21911876 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 171 + 0*i + 7*i - 169 + 3*i**3 - 2*i**3 - 9*i**2. What is a(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(175\/(-28))\/((-95)\/(-152))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4356691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -139 + 19524?\nAnswer: 19396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10\/j**(-13))\/(j**(-9)*j**3*j) assuming j is positive.\nAnswer: j**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8903690890 to the power of 1\/3, to the nearest integer?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/(2\/6). Let f = 29 - 15. Suppose -h*q + f = -2. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2782 + 8972. Let a = -2427 + s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 21*o**3 + 6*o**2 - 69*o - 16. Let i(g) = 4*g**3 + g**2 - 14*g - 3. Calculate -2*h(y) + 11*i(y).\nAnswer: 2*y**3 - y**2 - 16*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t. Suppose -3*s + t*s = -36. What is the tens digit of (-4)\/s + (-182)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2024 + 5\nAnswer: 5.2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65370 and 392220.\nAnswer: 392220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10620 + -70?\nAnswer: -10710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by -5.\nAnswer: -588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 533251 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 9 + 17 = 0. Suppose -v + q*f + 317 = 0, -2*f = 3 - 5. What are the prime factors of v?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-45))\/((-2)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + (-2 - 7) + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201433775.\nAnswer: 5, 47, 251, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/40959 (b) -2\/11 (c) -5 (d) 3\/2 (e) -2\/13 (f) 6.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + (2 - 1). Let n be (10 - 9)*(1 - -1). Find the second derivative of f - d - n*d**3 + 0*d**3 - 2 wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -109\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 27, 1\/28, -2.531 in increasing order.\nAnswer: -7, -2.531, -2, 1\/28, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(1\/2)))\/l)**(-10)\/(l**(-1)\/(l*l\/(l*l**(9\/5)*l))))**(-25) assuming l is positive.\nAnswer: l**(-355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 4, 0 = n - 149*b + 155*b + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 6*y**2 - 19*y - 85. Determine k(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b + b - 288. Suppose -6*z - b = -28. Solve 5 = -d, 3*x = -2*x + z*d + 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 190256, 190255, 190254, 190253?\n\"Answer: -s + 190257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13468 > 13469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -221*x**4\/12 + x**3\/2 + 2*x**2 + 47. What are the prime factors of b(-2)?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1131 - 656021?\nAnswer: -654560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-15)*425\/10. Let o = -23 + t. What is the highest common factor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 97 (b) 1 (c) 29\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -6\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3201231 (base 4) to base 12.\nAnswer: -8439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54\/(-81) - 231\/(-9). Suppose -a - 4*w + v = -15, 0 = -3*a + w + 55. Let u(x) = x - 5. Let o be u(8). Solve 2*b - a = -o*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**3 - 4 + 4 + (3*f - 4*f + 3*f)*(-f**2 + f**2 + f**2) - 2*f + f**3 + 2*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*v + 12. Solve -4*z + 4 = -3*s - v, 0 = -3*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/42*6\/(2*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/6*(-2)\/(-3). Sort 6, k, -5.\nAnswer: -5, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 + -454?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1070593 * 0.23\nAnswer: 246236.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 0.662 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 6. Suppose 0 = 4*q - 5*j - 6, 2*j = q - 4 + 1. Let a(r) = -r**2 - 1. Calculate q*x(i) - 6*a(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 + -28.7. Let t = p - -30. Sort t, 1\/4, 1\/6 in descending order.\nAnswer: t, 1\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l - 4. Let q(s) = -11*s - 8. Let f(r) = 9*h(r) - 4*q(r). What is f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3 + 41099*g**2 + 51*g + 1136.\nAnswer: -24*g + 82198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 35 = 2*a + 2*s, -5*a + 5*s - 30 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1793, 3580, 5375, 7172, 8965?\nAnswer: 10748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2309, -2308, -2307?\n\"Answer: c - 2310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/133)\/(1283\/(-26943))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*g + 4*g. Let v = 6 + g. Is (-2)\/((v\/(-62))\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -143377*q - 137564*q - 74236*q + 102178*q - 236666*q**2 - 224481*q - 2*q**4 - 239432 + 1380*q**3.\nAnswer: -2*(q - 346)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 - 12*g**4*u**2 - g**3*u + 205*g**2*u**2 wrt g.\nAnswer: 60*g**2 - 288*g*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - a + 12 = 0, -4*a = 2*z - 28. Suppose 3*k = 2*x - z, -k + 25 = 2*x + 7. What is the least common multiple of 2 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*k = -173*k + 122. Solve -y + 5 = 3*m, 3*m + 202 - 209 = -k*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 2056156*o. Let t(r) = r. Give t(w(b)).\nAnswer: -2*b**2 - 2056156*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 11:37 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-429)\/22)\/((-1)\/((-24)\/18)))\/(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 12)*(4 + 2*h - 4)*(-2*h + h + 2*h).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 18. Let f(z) be the second derivative of -z**6\/720 + 5*z**4\/4 + 21*z. Let n(q) be the third derivative of f(q). Determine n(d(t)).\nAnswer: -t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.4 + -62. Which is the second biggest value? (a) 4 (b) 0.5 (c) -0.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, l: 3, h: 2, m: 7}. What is prob of sequence kmm?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 10*p**2 - 6*p - 56. Let g be r(-10). Let l be (-1 + 2)*2\/g*4. Solve 6 = 4*y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -92*t. Let l be h(-6). Suppose -5*n = -2*j + 71, 3*n = 5*j + n - 125. Suppose j*s - 15*s = l. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 75245216*j**2 + 451471404*j + 677207160.\nAnswer: -4*(j - 18811310)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2\/11, -4.8?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 13984152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 12:43 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193136 is divided by 219?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/20 - z**4\/3 + 2*z**3\/3 - 4*z**2 + 3*z. Let w be f(-5). Which is smaller: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**3\/3 + 4*u**2 - 7*u - 1. Let t be v(6). Solve -3 = 3*w, 5 = -t*p - 3*w - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 196\/10903 and 0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 1156001860 to the power of 1\/3, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 12. Let l be b(14). Let u = -16 + l. Let p(r) = r**2 + r + 7. Determine p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 108*k. Let x(q) = -q**2. Determine v(x(g)).\nAnswer: -4*g**4 - 108*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzlwwwwezklzwweekzz. Give prob of picking 2 z and 1 k.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/35539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 11*w - 10. Let j be z(-1). Suppose j = 5*d - 13220 - 6230. Round d to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 8) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3794 (base 11) to base 9\nAnswer: 6702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1321 - -2016. Is j a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h - 1. Let y(t) = -31*t. Let l(x) = 5*d(x) + y(x). Let u(b) = -17*b + 9. What is 5*l(f) + 3*u(f)?\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967933126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 + 2*n**2)*(7 + 0 + 7).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*12\/3*((-77)\/(-14))\/11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**3\/8 - 45*q**2\/8 + 21*q + 377. Factor l(u).\nAnswer: 3*(u - 28)*(u - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 4*j - 1. Let y be u(-3). Suppose y*t - 7 - 9 = 0. Is 22\/5 + t\/(-20) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 1059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18322917 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15126796627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -918, -1941, -2964?\n\"Answer: -1023*v + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w**(2\/9)*w)\/w)\/w**7)\/(w**(-2\/5)\/w)**28)**29 assuming w is positive.\nAnswer: w**(44921\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*u**2 + 9 - u**3 - 30*u**2 to w*u**2 + o*u**3 + y + h*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 492045 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 495749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (-3*sqrt(891) - sqrt(891)) + sqrt(891)*-1*1 + sqrt(891) + 3)**2.\nAnswer: 72*sqrt(11) + 14259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8307?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/12 and (-11*3)\/(4\/(96\/270)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 386283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 1, u: 2}. What is prob of sequence lg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1028.6, 0, 0.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 3\/10*j**4 + 9\/5*j - 3\/5*j**2 - 1\/25*j**5 - 110 - 8\/15*j**3. Factor i(v).\nAnswer: -(v - 3)**2*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**5 - 18660*p**4 + 17372400*p**3 + 69788480*p**2 = 0.\nAnswer: -4, 0, 1868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 585315.3 months in centuries?\nAnswer: 487.76275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81.6 + -78.6. Sort 4\/9, q, -2\/5 in descending order.\nAnswer: q, 4\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503 (base 9) to base 15\nAnswer: -1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*sqrt(605)\/(sqrt(11) + sqrt(44)))\/(-2*sqrt(180)\/sqrt(4)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2030*b**2*t*z - 2*b**2 - b*t*z - 14*b*t + 375*t*z + 5 wrt b.\nAnswer: -4060*b*t*z - 4*b - t*z - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*l - 47*l - 200*l - 70*l - 256*l in the form d + m*l and give m.\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*n + 7 - 7)*(-4 + n + 4) - 865*n - 874*n - 3 - 36*n**2 + 1740*n in the form g*n**2 + x + t*n and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249 - 246. Suppose -8*o - p + 20846 = -g*o, -5*o + 20850 = 5*p. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15930878 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 2, r: 1, p: 4}. What is prob of picking 1 c and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-22))\/((-20)\/(-5470)) + -24*72\/6336?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13771.6 and -2.63.\nAnswer: 36219.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 8*q**2 + 5*q + 3. Let p be s(-3). Suppose -165 = -6*u - p. What is the remainder when u is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + dc5?\nAnswer: dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three 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 r = -124 + 122.54. Let g = r - -0.46. Which is the fourth biggest value? (a) 4 (b) g (c) 2 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let y(g) = -224955*g. What is j(y(r))?\nAnswer: -449910*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-14 + 7287\/14)\/((-1)\/(-46))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*((-2975550)\/(-4) - (-7 + 5)). Let x = k + 1715558. Round x to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 69388*j - 5. Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.5. Let x = -0.1 - 0. Let n = x + -4.9. Which is the third smallest value? (a) n (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3420 and 3990.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*t + 972, -2*t + 201 = -2*r - 773. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**7\/35 + h**4\/4 - 7*h**2. Find the second derivative of y(u) wrt u.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167534, -357, -2.\nAnswer: -167534, -357, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.33967*-39\nAnswer: 13.24713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a24 (base 15) in base 9?\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*t = -t - 15, -3*t = 3*d - 18. Let r = 1.473 + -1.373. Which is the nearest to r? (a) 12 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72.31 - -72.11. Which is the nearest to -1\/3? (a) 1 (b) -268 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3\/7, 1, -3, -116?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -w + 149, 0 = w + 2*w - 5*m - 467. Let k = w - 103. What is the smallest common multiple of k and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 18*o - 25. Suppose -4*w - 42 = -w. Let i = w + 30. What is the remainder when x(-12) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2 + m - 2. Let q be x(-2). Let d be 26\/4 - (-3)\/(-6). Let k = d + q. What is k rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 1036.\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 0 - (9 + -17 + 7)) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/4142, 1.4, 1\/2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o = 22*o + 5*o - 504. Solve -d = o*w - 12*w, 0 = -4*d - 2*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4)*s\/s**(-1\/5))**(-1\/23))**(-16) assuming s is positive.\nAnswer: s**(-144\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 289*i**2 + 36*i - 8. Let c(z) = 578*z**2 + 59*z - 14. Give -3*c(q) + 5*w(q).\nAnswer: -289*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 + 2*f - 2. Let g(q) = -8*q - 90. Let h be g(-11). Determine p(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -1 - (-20 - -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x. Let l(m) be the first derivative of m**3 - 26. What is l(h(j))?\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1)\/i)*i\/((i**(1\/3)*i)\/i))\/((i*i**(-1\/3)*i)\/(i\/i**(2\/9))))**(-2\/17) assuming i is positive.\nAnswer: i**(-50\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 13782 - 17412 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466055, 466039, 466023?\nAnswer: 466007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 28*y - 4 - 20*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + ((-20)\/(-8))\/(5\/10). Let s(j) = -j**3 + 9*j**2 + 10*j - 6. What is s(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 282212, 282206, 282188, 282152, 282092, 282002?\n\"Answer: -h**3 + h + 282212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 7:06 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/75 + 71\/300. Let r = -19\/3 + 127\/21. Is r >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 124, 247, 370, 493?\n\"Answer: 123*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/16 and -53\/3831?\nAnswer: 61296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479038221?\nAnswer: 3, 53, 1004273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 29*v + 34*v + 27 = 0, -4*b + 39 = 3*v. Suppose 2*n = 2, -2*n = c + 3*n - 17. Calculate the greatest common divisor of c and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16)*(-304)\/(-114))\/((-8)\/(-3))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s + 5 = 0. Let k = s + 2. Let i(q) = q + 5. Give i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015983 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7465.4799 + 7466. Let a = 0.52 - s. Round a to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*t = 2*t - 269, -3*t = 5*n - 266. Suppose 0 = -2*u - 3*z + 263, 52*u + 3*z = n*u - 357. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -30, -3376 in descending order.\nAnswer: -30, -179, -3376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10169779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212 by 1227616.\nAnswer: -53\/306904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 8. Calculate the smallest common multiple of ((-3)\/(-4))\/(2\/24) and 5\/y*(-48)\/(-30).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*((-4 + 4 + 2*f)*(-5 + 3 + 1) + (0 + 1 + 1)*(0*f - f + 2*f) - f - f + 6*f) in the form r + o*f and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 - 22*m**3 + 9*m**3 + 12*m**3.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 2\/9 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*n - 12 = 0, 31*o = 25*o - 5*n + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 4 (b) -37 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1156 = -3*f, 0 = -4*n - 0*n - 4*f + 912. Let z = -199 + n. Solve 0 = 4*j - 5*x + 32, -6*x + z = -5*j - 2*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + m**2 + 266*m + 104. Let k be l(17). Let c(j) = 3*j**2 - 5*j + 3. Calculate c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 6:37 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.8 + 50. Let v = 18 - i. Which is the closest to v? (a) -0.1 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - q + 75. Let g be n(0). Let y = 15 - 9. Suppose -m = -y*m + g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-55)\/22 - (-101580)\/(-8). Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + i**3 - i**3)*((i + 1 - 1)*(2 - 2 + 1) - 5*i + i + 2*i).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -0.3807976.\nAnswer: -0.015231904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/18*6*-3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3767*v - 82873. What is k(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*b**5*f**3 - 7*b**4*f**3 - b*f**3 - 906*b*f**2 - 2*f**2 wrt b?\nAnswer: 2080*b**3*f**3 - 84*b**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52503933.\nAnswer: 3, 17501311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 17*v**8\/28 - 5*v**4\/3 - 33*v. What is the third derivative of a(c) wrt c?\nAnswer: 4080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - -13?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 5*u**2 - 2*u + 1. Suppose -3*g = 2*g + 30. Is i(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.9 or -613?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qxqxxqqqxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.9. Let n = 0.3000007 + f. What is n rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.12 + -29.02. Let x = -23 + 22. Which is the closest to l? (a) -2 (b) x (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9*-0.4.\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(9))\/sqrt(3) + -5.\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/950 and 53\/798?\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + 5.91. Let t = 0.1 + -3.1. What is the third smallest value in h, t, 6\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(243) + 2)**2 + -1 + sqrt(243))*-4 - (-1*sqrt(243)*6 + (sqrt(243) + -3)**2*-5).\nAnswer: -396*sqrt(3) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/145, -10, 1\/108?\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-110)\/9 + 1 - (-10)\/45. Let f = -9 - o. Is f < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.00324 millilitres to litres.\nAnswer: 0.00200324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 44 = -3*y - y, -4*y + 28 = 2*m. Suppose 3*q + 9 = -m. Sort q, 1, 0 in descending order.\nAnswer: 1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130122313302 (base 4) in base 9?\nAnswer: -15014546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/1859 and -37\/1276268.\nAnswer: 2372582212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 10*x + 3. Let j be t(4). Let b(z) = z + 2. Let m(y) = -y - 2. What is j*m(a) - 4*b(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -3, 2\/5, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 160*v**3 + 1275*v**2 - 2340*v - 3780.\nAnswer: 5*(v - 21)*(v - 6)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 2. Let i be y(0). Suppose -6*l + 5*l - 24 = 0. Let z = l - -45\/2. Which is greater: i or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1024631 (base 7) to base 2.\nAnswer: -11110010011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131130 (base 12) in base 11?\nAnswer: 1a4139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34919081640 plus 972?\nAnswer: -34919080668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24444024 - 1341?\nAnswer: -30000420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1187, 991, 797, 605, 415, 227?\n\"Answer: d**2 - 199*d + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11083, 11144, 11319, 11662, 12227?\n\"Answer: 9*b**3 + 3*b**2 - 11*b + 11082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 44027.\nAnswer: 44026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x + 11. Let k be r(6). Solve -k*l = 7*l + 48 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 84602*z + 846028\/5.\nAnswer: -2*(z - 211507)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 less than 0.45?\nAnswer: -58.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 14*l + 686. Give f(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 406*k**2\/9 - 68816*k + 20525472.\nAnswer: 2*(k - 396)**2*(k + 589)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-45))\/((o**(-49)\/o)\/o*o))\/(o**(17\/5)*o*o*o**(8\/15)) assuming o is positive.\nAnswer: o**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.9. Let u = 0.1 + 0.9. What is the closest to k in u, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -23.8. What is the closest to -0.1 in 3, 9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 9:55 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (20 + -8 + (-5 - 19) + 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187968479?\nAnswer: 173, 1086523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*y**3 - 1 + 25*y**3 + 30*y**3 - y**2 as m + z*y**2 + a*y**3 + f*y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/9 + 3 - 4\/(-18). What is the common denominator of 1327\/(-840) - g\/(-15) and 23\/4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 106. Let o be (-7)\/(-5) + a\/(-10) + 5. Suppose -o*f + 469 = -1357. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3913 - -12594. Let q = 5019 - k. Let o = 275599\/24 + q. What is the common denominator of 73\/9 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1149, 2295, 3453, 4629, 5829, 7059?\nAnswer: 8325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 3452 in decreasing order.\nAnswer: 3452, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7697 divided by 251?\nAnswer: 7697\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28636 divided by -1?\nAnswer: 28636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 5*i + 3. Let t(a) = 15*a**2 + 50*a + 24. Let p(y) = 10*y**2 + 33*y + 16. Let x(g) = 8*p(g) - 5*t(g). Give 11*f(c) - 4*x(c).\nAnswer: 2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10475754 and 195614.\nAnswer: 4162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 866369 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 20.3. What is the biggest value in -0.3, b, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 15*f - 270. Let u be (f\/12)\/9*0. Sort -9, 5, u in decreasing order.\nAnswer: 5, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*p + 122*p - 4531 - 2521. Suppose -30 = -3*z + 3. What is the remainder when p is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 + 122*v - 195. Determine x(39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213 - 4*h - 145 + 325 + 33.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 27*m**2 + 69*m - 1064. Determine r(26).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -69 (c) -2\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/828*1164\/(-1455)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-244)\/1310)\/(36\/40). Let g = 13\/11 - 1725\/1441. Let i = j + g. Which is the fourth biggest value? (a) -0.5 (b) i (c) 0.2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n\/n**12)))\/n**14*(n**13*n)\/(n*n*n**(-12)) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3953 - 3949) + (-54 - (0 - 0))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**3\/2 - 9*z**2\/4 + 6*z - 17. Factor j(r).\nAnswer: -3*(r - 1)*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40792431 from 222364.\nAnswer: 41014795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*u - 5, 4*u + 89 = 105. Put 0, 4, n, 23 in ascending order.\nAnswer: 0, 4, n, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -3*(3 - 2). Let h(q) = -3*q**2 + 6*q**2 + f*q**2. Let j(m) = 0 - 2 + 2*m**2 + 2. What is j(h(a))?\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/60 + 8\/6. Solve 1 = -2*w - n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 54 + 22*w**2 + 84*w - 2*w**3 - w**3 - 38*w + 2*w**3. Let x be o(24). Solve x - 8 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 408393*r - 88.\nAnswer: -408393*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*u - 95*u - 12 = 0. Solve -m - 16 = 5*q, -5 = 3*q - u*m - 2*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5665 - 2*y**3 - 2825 - 2840.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*127981\/(-8169)?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.57 + 18.57. Which is the closest to -0.1? (a) 239 (b) f (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 126158, 126159, 126160, 126161, 126162, 126163?\n\"Answer: g + 126157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 2200450?\nAnswer: 2200451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*o - 4*m, 0 = -5*o - m - 1 - 4. Suppose -26*u + 22*u + 64 = o. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n*n**5*n)**(-2\/15)\/((n**(1\/6)*(n\/((n**(-3)\/n)\/n))\/n)\/(n**7\/(n\/(n\/(n**4*n)*n*n*n*n*n*n)*n))) assuming n is positive.\nAnswer: n**(59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-528)\/11)\/24)\/((-4)\/34)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 0.03, -5.\nAnswer: -5, -0.3, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*i - 50*i - 480 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/7)\/u)**(-3\/35)*(u*u*u*u**(5\/7))\/u**(-2\/95) assuming u is positive.\nAnswer: u**(18243\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 137 - 4479?\nAnswer: -4342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = j + 7. Let p = -417\/4 + j. Which is the closest to -1\/2? (a) p (b) -2\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 5. Suppose -d*v = -5*v. Is 1\/5 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. What is the third biggest value in -9, g, -0.02?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/48 and -49\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13395*q**3*z - 2831*q**3 with respect to z.\nAnswer: 13395*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.27\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 5:43 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*i**5 + 17*i**4 - 2644*i**2?\nAnswer: -660*i**2 + 408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 61. Let n(c) = -390*c + 396*c - 7 - 3 + a*c**2. Does 26 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 15*w + 697 - 639.\nAnswer: -31*w + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775031.\nAnswer: 23, 31, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1343.1? (a) 10\/19 (b) -2\/31 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1008 - 451. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-16)*(h**(-2\/53)\/h)\/h)\/(h\/(h\/(h**1\/h)))**39 assuming h is positive.\nAnswer: h**(-956\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1447 - 2*x + 2*x - 924*x**4 - 280*x**4 with respect to x.\nAnswer: -4816*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6436882*v - 6436947*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -45. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 616\/63*1 - 10. Which is the closest to -3\/4? (a) 2\/3 (b) 5 (c) u (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -853, -3392, -7617, -13522, -21101, -30348, -41257, -53822?\n\"Answer: g**3 - 849*g**2 + g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-49)\/21 - -3 - (-1)\/(-3). Which is the second smallest value? (a) 5 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-33))\/(201\/(-737)). Let z = 0.38 + 0.02. Which is the nearest to -1\/4? (a) z (b) d (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 517118572 and 5?\nAnswer: 2585592860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 504 - 336. What is the second derivative of o*t**5 - 83*t + 16*t + 10*t + 12*t**2 - 12*t**2 wrt t?\nAnswer: 3360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5))**(-3))**(-2\/23)\/((m\/m**(2\/7)*m*m)\/((m**10*m)\/m))**(-1\/8) assuming m is positive.\nAnswer: m**(-5193\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(180) + sqrt(180).\nAnswer: -1 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in -2\/23, 488, 2, -161?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4893 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/252*-7*63\/588\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + 275\/(-33) - (-101 + 78029\/852)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.2 (b) 4 (c) 2\/3 (d) 8\/471 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 2*u + 2*u)*(3*u - 2*u + 3*u)*(-5 + 4 + 3).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.02, 0.3.\nAnswer: -21, 0.02, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.61 times -0.12?\nAnswer: -8.5932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 9. Let a(u) = -4*u**2 + 30*u + 2. Let d be a(7). Let k be r(d). Solve -5 = 2*x - k*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18956217 and 504.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:49 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99194*h + 100049*h + 10050 - 75030 = 0 for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/6 + 23*c**2\/6 - 67*c\/3 + 28 = 0 for c.\nAnswer: -28, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 75162949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 355. Suppose u = 11*u - j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8419251766 and 1.\nAnswer: -8419251765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((-5 - -1) + (-15 - -6) + 6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 792.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 - 3. Let h be r(-6). Let p(l) = l**2 + 3*l + 3. Let m be p(h). Suppose -15 = -m*k, 5*k = 4*i + 3*k - 14. Solve -4*t - 2 = -i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39486612 divided by 44\nAnswer: 897423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 6. Let a be z(8). Let s be 129\/27 - 4\/(-18). Find the second derivative of 2*u**5 - s*u**5 - 30*u - a*u wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1377\nAnswer: 5\/1377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*b - 29 = 0, 1071*b - 36 = 1067*b. Solve 52*a - l*a = -192 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10334349 is divided by 4780?\nAnswer: 4769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 81.17. Let x = u + 2.829877. What is x rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.871668 - 9.36.\nAnswer: -34.231668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 3*g**3 + g**3)*(3*g + g**2 - 3*g + (g + 0*g - 2*g)*(-4 + 4 - 2*g) + g**2 + g**2 - g**2).\nAnswer: -20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1148 less than 1207.27463433?\nAnswer: 2355.27463433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1226704 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k - 10. Let a = k - -13. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24833*n**5 - 3*n**4 - n**2 - 22*n + 4?\nAnswer: -1489980*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:45 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-18) + (-8)\/(-21). Let i = 1553 + -1549. Let t = 9 + -8.9. Which is the nearest to d? (a) t (b) -14 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-1)\/(-3). What is the nearest to -2\/7 in -1\/7, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1834 + 2604. Suppose 7*t = 1694 + p. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 577 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -106. Let v = 79 - x. Let g(h) = 5*h**3 - h**2 + 2*h - 1. Let a be g(1). Put a, 11, v in ascending order.\nAnswer: v, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from ucgqcqqqqeqqqd.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1014.99 - 1002. Let m = -2.41 + b. Let o = 11.8 - m. Round o to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -4*m + 102389, 35*m - 2*t = 37*m - 51316. List the prime factors of m.\nAnswer: 13, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -21*p - 44. List the prime factors of b(-8).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 5.3. Let d = o + 0. Let a = -637825 + 637828. Put -2, -0.5, d, a in descending order.\nAnswer: a, d, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 + s - 1. Let k(o) = -o + 9. Let c be k(8). Let w be d(c). Does 9 divide 20 - (1 + w\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmpjjjcmp. What is prob of picking 1 m, 1 c, and 2 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**7\/14 - 3*u**5\/2 - 5*u**4 - 15*u**3\/2 - 6*u**2 + 114*u + 1. Factor l(h).\nAnswer: 3*(h - 4)*(h + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-15)\/(-9) - 275\/66.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from tttdtdtttttdttdd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -8 - -28) + -42 + (-81 - 0 - 3).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 3. Let p(y) = 6*y + 16. Let u(i) = -22*c(i) - 4*p(i). Let v be u(-5). What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 701 and 147?\nAnswer: 103047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.82 + -2.8732. Let u = -10.8868 + f. Let l = -10 - u. Round l to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/4 + 19*k**3\/3 + k**2\/2 - 19*k + 4. Let d be n(19). Solve 5*v + 4*r = -0*v + 35, 2*v - 3*r + 9 = d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 444*o.\nAnswer: -3*o*(o - 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/11 - -74\/33. Let r = y - 23\/6. Let x = 12\/65 - 397\/390. What is the common denominator of x and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17584852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5366493259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137 + 4 + 4\/(12\/(-15)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**9*i)\/(i\/i**(-1\/5)*i))\/((i**(2\/21)\/i*i)\/i**(1\/13)))**(-2\/33) assuming i is positive.\nAnswer: i**(-21244\/45045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 76 = 2*c. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42590 (base 15) in base 10?\nAnswer: -210510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvuvvuuv. Give prob of picking 4 v.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-2 + 2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -13. Let b = n - 6.9. Let s = 1.136 - -3.864. Put s, 4, 2, b in decreasing order.\nAnswer: s, 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 9 + 2*s**2 - 4*s**2 in the form i + t*s**2 + z*s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61348*f**2 - 5*f + 20640*f**2 + 5*f to the form j + c*f**2 + o*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720 and 48384.\nAnswer: 241920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - 5*g)*(4*g**4 - 2*g + 2*g) + 216*g**5 + 835*g + 1318*g - 215*g**5.\nAnswer: -3*g**5 + 2153*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -2*y + 86, 5*k - 143 + 317 = -3*y + 302 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -409708091*d**2 - 29*d + 12032311?\nAnswer: -819416182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 199. Let p(s) = 36*s - 44. What is t(p(g))?\nAnswer: 72*g + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*u + 27 = -71 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 646122783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + 0 + (-5 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*r**2 + 89*r**2 - 13*r**2 - 58*r**2 + (0*r + r + r)*(-7*r - 16 + 16) to the form l*r**2 + g + o*r and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (sqrt(11) + sqrt(44))*3 + 3).\nAnswer: 48 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*f + 52, -4*f - 34 = 3*m - 0*f. Let r(h) = 8*h + 77. Determine r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**3 - 11*s**2 - 7*s - 4. Let h be k(-5). Let x = 857 - h. Calculate the remainder when x is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 7*n - 12. Suppose -4*x - 5*r + 10 = -8, x = n*r - 4. Suppose -4*q - 3*y + y = -142, 6 = x*y. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 1, -0.1, -0.4 in decreasing order.\nAnswer: 12, 3, 1, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q**3 + 5*q**2 + 2*q - 6. Let n(h) = -52 + 25 + 20*h - 19*h + h**2 + 26. Give g(s) - 5*n(s).\nAnswer: -5*s**3 - 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 11. What is the highest common factor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rggg. What is prob of sequence ggr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105591\/5 + 21099. Let q be -1 - (-2 + (-21)\/(-1)). Which is greater: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 1 - k + 0)*(13332 - 7*k**2 - 6*k**2 - 13335).\nAnswer: -39*k**3 + 13*k**2 - 9*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/6 + 2*x**3\/3 - x**2 - 6*x. Let v(i) = 5*i**2 + 11*i - 6. Let g be 16*-3*(-1)\/(-6). Calculate g*q(m) + 3*v(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) + 1 + 3. Let h(w) = 4*w**2 - m*w**3 - 2*w**3 - 6 - 6*w + 6*w**3. Calculate h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276551 is divided by 3142.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(2457985\/223830 - 22\/(1*2))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 17781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 - 60. Let k = -1 - a. Let r = k - -65.000061. Round r to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (26 - 29) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*4 - (32\/(-4) - 2). Suppose 5*l - 20 = -2*y, 3*l + 20 = 4*y + m. Solve -y*t = 2*t + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310451223 to the power of 1\/2, to the nearest integer?\nAnswer: 36200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5283*f + 196. Let c be o(18). Round c to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.215 + 25.6. Round g to two decimal places.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493894774?\nAnswer: 2, 41, 6023107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2548 and 10?\nAnswer: 12740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -52*d**2 - 69*d - 14. What is the units digit of s(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -73, -106, -139, -172, -205?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153016 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100, -108, -120, -136, -156, -180?\n\"Answer: -2*g**2 - 2*g - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 - (-30)\/9. Let u be (-18)\/(-27)*6\/16. Which is the nearest to u? (a) -1 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**7\/2520 + 11*x**6\/720 - x**5\/30 - x**4\/3 - 79*x**2. Let b(h) be the third derivative of g(h). What is b(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f = -4*q - 56, -3*f + 175 = -5*q. Let z be (4\/6 - 1) + f\/72. What is m in -z + 3\/4*m + 27\/4*m**2 = 0?\nAnswer: -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 0*u**2 + 0*u**2 - u**3 - 2*u**3 + 5*u**3 + (-u - u**2 + u)*(-6*u + u + 3*u) + 2*u**3 - 3*u**3 + 0*u**3 - 7*u**3 + 9*u**3 + 1 + 2 - 3 + 3 - u**3.\nAnswer: 6*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10989 by -37.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2223, -4446, -6669, -8892, -11115?\n\"Answer: -2223*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 1532904 + 3149671 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**7\/315 - 2*j**6\/45 + 4*j**5\/15 - 8*j**4\/9 + 16*j**3\/9 - 28*j**2. Factor z(r).\nAnswer: 2*(r - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224456682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 5. Let b(x) = -9*x - 10. Let w(t) = -b(t) + 2*g(t). Let a(y) = -583*y**2. Calculate w(a(i)).\nAnswer: 583*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1 - 2*l + 8*l - 5*l. Let x be z(4). Suppose -x*s + 5*s = 26. Solve 2*i = -n - n + 2, n - s = -5*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5088 - -3079. Is -2008 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, n: 1, h: 2, j: 7}. What is prob of sequence xxhj?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168) + sqrt(168))\/(-2*sqrt(864)))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z. Calculate the remainder when 63 is divided by o(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 964*s**5 - s**4 + 2*s**3 - 206*s**2 + 200*s wrt s.\nAnswer: 57840*s**2 - 24*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 62. Solve -3*c = -g + m*g + 6, 0 = -5*c + g - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 25*t**2 - 58*t - 923. What is w(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -55*u - 49. Let t be o(-1). Solve -t*z + 11*z = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 59. Let t = -17.87 + 17.77. Which is greater: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - (-2)\/4)\/(-26 - 240653672\/(-9255904))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 113?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355623.109541 + 0.11.\nAnswer: 355623.219541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 1. Let a be p(-3). Let m be 3*((-6)\/10)\/(36\/(-40)). Let u(k) = -k - k - 4*k + m + k. Calculate u(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -47*d + 18. Is 3 a factor of n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q. Find the third derivative of 2*y**6 + 3*y**2 - 2*y**6 + q*y**2 + 3*y**6 wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 90*y**2 - 64. Let c(x) = -x. Calculate c(b(v)).\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 23 in decreasing order.\nAnswer: 23, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -9*u + 7*u. Let z be 0 + -4 + u - 160\/12. Is -17 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 + 1 = 4*v, 40 = 4*v + 4*l. Let d = 52 + -28. What is the smallest common multiple of v and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3091, -3087, -3081, -3073, -3063?\n\"Answer: u**2 + u - 3093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 11*t**8\/8064 + t**7\/84 + t**6\/72 - 29*t**5\/30 + 10*t**2 + 2. Let b(m) be the third derivative of p(m). Factor b(z).\nAnswer: 5*(z + 2)*(11*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*z - 66*z + 268*z - 82*z - 85*z.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + q**3 - 8208118 + 5*q**4 + 1353*q - q**2 + 8208118 to the form j + a*q + d*q**3 + h*q**4 + t*q**2 and give a.\nAnswer: 1353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(405) + 6*(sqrt(405) + sqrt(405) + (sqrt(405) - -2*sqrt(405))))**2.\nAnswer: -1116*sqrt(5) + 389209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 54, -18, 11, 3\/8, -4\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:13 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 215691.638 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 15*k - 32. Let t be m(12). Suppose 959 + 279 = t*w - 3*r, 5*r - 943 = -3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 5, -597, 1, 10, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 47\/113?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/7, -10, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 85, -4, -29 in descending order.\nAnswer: 85, -1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 385890969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - 9*w**3 + 5*w**3 - 2*w**2 - 6 as m*w**3 + i + r*w + u*w**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:37 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 117249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -25. Let b(j) = -j**2 + 20*j - 11. What is the tens digit of b(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1095 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -5*t + 2*f, 2*t + 0*f + 5*f + 17 = 0. Which is the nearest to 2? (a) t (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (4 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 9:43 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 672.98*5\nAnswer: 3364.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 100*o**4 + 12492*o**3 + 11425*o**2 + 2106*o - 248 = 0.\nAnswer: -124, -1\/2, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 221*t**4\/4 + 203*t + 391. Differentiate z(i) with respect to i.\nAnswer: 663*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123a4 (base 13) in base 12?\nAnswer: -17538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -40. Is 0.1 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/5 + 96*z\/5 + 1924\/5.\nAnswer: -4*(z - 37)*(z + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 + 13*j**2 - 124*j + 132. Let p(r) = 13*r**3 + 28*r**2 - 247*r + 264. Let u(d) = 7*b(d) - 4*p(d). Factor u(m).\nAnswer: -3*(m - 2)**2*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s + 36. Let p be d(-6). Let u = 0 - p. Solve u = -4*i + 5*o - 0, 0 = 3*i - 4*o + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*b + 7*b - 5*b)*(1 + 1 - 1) to n*b + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 2}. Give prob of sequence ss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -153421 (base 7) in base 4?\nAnswer: -13111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28502086, 57004180, 85506274, 114008368?\n\"Answer: 28502094*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -280? (a) 2 (b) -711 (c) 5\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*u - 2*c, -c = -3*u + c + 2. Suppose 1 = 2*k + 2*o - 1, 4*k - o + 21 = u. Is (-3)\/(k\/44 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2673)\/(-198))\/((-78)\/8)*-1?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1074270 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 4*q**2 - 9*q**2)*(4*q**2 - 4*q**2 - 2*q**2) + (-566 + 566 - 31*q)*(4*q**3 + 0*q**3 + 0*q**3).\nAnswer: -120*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Suppose 5*r + n = -7, -5*c - 5*r - 35 = 0. Sort 5, -2, c.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164524*s**3 + 124244*s**2?\nAnswer: -987144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 3. Suppose -y + p - 5 = -q*p, 0 = 2*p - 8. Suppose -2*z + 5 = -y. Calculate the least common multiple of z and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, -3, -786?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.093 rounded to zero dps?\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1082*k**3 + 1805*k**3 + 499*k**3 - 2*k - 394*k**3 as o*k + r*k**2 + g*k**3 + b and give g.\nAnswer: 2992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 2. Let s = -9 + 15. Let d be u(s). Let m be d*(2 + 9\/(-6)). Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2, -2*p - 2 = 2*g + 6. Let x = -27 - -29. Which is the nearest to 3? (a) p (b) 0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(12\/11)\/k**(-2\/21) assuming k is positive.\nAnswer: k**(274\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 29 + -39 + (-65 - -5).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*2*20\/(-8). Let v = y + -2. Let d = 1 + v. Let g(z) = z**3 - 4*z**2 - 2*z + 4. What is g(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let n(c) = 3*c**2 - 1. Let r(k) = 4*k**2 - 1. Let t(q) = -5*n(q) + 4*r(q). Let u be t(-1). Let p(f) = 4*f**u - 2*f**2 + 0*f**2. What is b(p(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155496, -622204, -1400042, -2489004, -3889084?\nAnswer: -5600276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oko when three letters picked without replacement from olloloolok?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjrf when four letters picked without replacement from rslqlfqj?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 678 - 5*o + 2*o - 681 + 15*o. Give s(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9324320 divided by 3.\nAnswer: -9324320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20786326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0117612 rounded to 4 decimal places?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 1614*q**2 + 192*q - 103296.\nAnswer: -3*(q - 538)*(q - 8)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/1013 + 3023\/8104. Let w = -6 + 24. Let g = -18.1 + w. Is g bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 1. Let y(d) = -6*d - 155. Let s be y(-26). Let q(x) = x**4 + 4*x**2 + 46. Let p(b) = s*q(b) + 4*m(b). Differentiate p(a) wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1.6353\nAnswer: -0.32706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:42 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 + (10 + 0 - 21))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7))**(26\/3)*(g**0)**21*(g**(-4\/3)*(g\/(g\/((g\/(g**(-3\/4)*g))\/g*g)))\/g)**(-11\/6) assuming g is positive.\nAnswer: g**(215\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 5*h - 10, 3*h - 4 = -2*f. Let s(q) = -4*q**2 - 10*q - q + q**3 + 8*q - 2 + h*q. Determine s(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.434 * 0.5\nAnswer: 1.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16*y**3 - 8*y**2 + 30*y + 1. List the prime factors of s(6).\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94654 or 473277\/5?\nAnswer: 94654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -d - 7 - 5, 26 = -3*d + 2*p. Let l be (2\/(-4))\/(4\/d). What is the greatest common divisor of l and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.133? (a) -1\/2 (b) 2.56 (c) 11\/7 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115494654 by -8913.\nAnswer: 12958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13100b (base 16) to base 13\nAnswer: -349834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*g - 106*g = -24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 534 and 188.\nAnswer: 100392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17118 or 17119?\nAnswer: 17119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17925 and 721815.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1061*u**3 + 2*u**2 + 13*u + 72959 wrt u?\nAnswer: 3183*u**2 + 4*u + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 + 0.269.\nAnswer: 51.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3977851105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 306 - 235. Calculate the remainder when 6174 is divided by y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.45 - -3.45. Let j = 1 + -1. Let y be (2 - 3)\/((-1)\/(-2)). Which is the nearest to j? (a) 2\/5 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 306 - -66?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 5. Suppose 5*j - 3*j = -8. Calculate the remainder when 7 is divided by f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/u**1))**(1\/11)*u**(-4\/3)\/u**(-7) assuming u is positive.\nAnswer: u**(196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 18 = i, 206*i - f = 208*i - 51 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 190859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) + -4 + sqrt(272) + 2).\nAnswer: -6 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67481 and -4.\nAnswer: -269924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1185?\nAnswer: 2\/1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 942758399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyw when three letters picked without replacement from {v: 1, r: 4, w: 4, y: 9, c: 1}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 3. Let d be (4 - 10)*(-1)\/2. Let h be b(d). Let i be (-4)\/(-2) + h + 16. Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24057?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1421, 2847, 4271, 5693, 7113, 8531, 9947?\n\"Answer: -w**2 + 1429*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/25)\/(t**(2\/7)*t))\/((t*t**29)\/((((((t**(-1\/13)*t)\/t)\/t)\/t)\/t)\/t)))**(2\/3) assuming t is positive.\nAnswer: t**(-53694\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.3364 * -24\nAnswer: -32.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9134 - 9135. Let x(y) = 40*y**2 - y - 2. What is x(i)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22975 = -17*o - 8390. Let w = o - -842. What is the common denominator of 1\/(-11)*-1*w\/51 and -68\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2696 divided by 674.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-1 + -14 + 14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -118, -1, 10 in descending order.\nAnswer: 93, 10, -1, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/20 + 432\/15. Let m = 33 - s. Suppose 4*j - 12 = -a - a, m*j - 4*a - 12 = 0. Solve 4 = -d - 2*l + j, -5*l = 3*d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -2*v**5 + 9*v + 11. Find the first derivative of d(q) wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.25888t to nanograms.\nAnswer: 45258880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1266040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*w**2 + 118*w**2 - 22*w**2.\nAnswer: 182*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 6887453.\nAnswer: -25\/6887453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (8 - -30) + -9 - 0 - (4 - 14).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 - o**2 + 0*o**2)*(8*o + 12*o - 10*o)*(0*o + 8*o + 4 - 6*o) to w*o**4 + x*o**2 + l*o**3 + p + m*o and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 - 18244458*s + 18244457 = 0. Calculate s.\nAnswer: 1, 18244457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smamasammsess. What is prob of picking 3 m?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/482 and 39\/1687?\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -193*p - 135. Is n(-2) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t**3 + 10*t**2 - 2835*t - 810 = 0. Calculate t.\nAnswer: -9, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -162 + 12. Solve 2*t + 5*c = -z, -2*t = -7*t - 2*c - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1) + ((-1296)\/(-486))\/(16\/(-36))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8903 bigger than -8903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4232+58196.77348\nAnswer: 53964.77348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6)\/(15\/20). Let u(a) = 10*a + 1. Let t be u(c). Calculate the highest common divisor of t and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 5, -0.5, -94?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/17? (a) 4\/3 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -w + 3*q, w + 11 = 2*w - 2*q. Solve 0 = -3*m + 2*m + w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*c - 7 = 0, c + 3*c = -2*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 75. What is the closest to 1 in w, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/((-6)\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/580 and -121\/3030?\nAnswer: 175740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 380562.3 tonnes?\nAnswer: 380562300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 1)*(8 - 8*o - 8) + 570490 - 570490 + 2273*o in the form r + p*o and give p.\nAnswer: 2289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezeeyewzzmy. What is prob of picking 2 e and 1 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2640 and 5?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2256249 - -3048490. Suppose -49477261 = -7*r + w. What is r rounded to the nearest one hundred thousand?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 253706 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 40 - 11)*((-m + 3*m + m)*(3 + 1 - 2) - 2*m + 2*m + m).\nAnswer: -385*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 63. What is the greatest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/99588 and 103\/19686.\nAnswer: 1692996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvrs when four letters picked without replacement from {r: 5, s: 1, v: 3}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11531258*j*n**4 + 2*j*n**2 - 6*j - 3*n**4 + 37*n**2 - 41*n - 71 wrt n?\nAnswer: 276750192*j*n - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29067268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 - -24182 - (-6 + -5 + 9 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojoxjojjooxojj. What is prob of picking 1 j and 2 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -22. Let t be (-1 + 2)*(-6 + u). Let s(k) = k**2 + 3*k - 1. Determine s(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-1 - sqrt(40) - sqrt(40))\/(2*sqrt(40)\/sqrt(5)) + (sqrt(100)\/sqrt(8))\/(-3*sqrt(10)*-2).\nAnswer: -41*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 4:39 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4536 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -633 - -568. Sort 0.5, 1\/7, -0.2, k.\nAnswer: k, -0.2, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 3. Suppose -n - 2*n = -48. Suppose -15 = 4*m - 5*q, 0*m - 4*m = -q + 19. Let p = -10 - m. Let o(b) = -10*b + 10. Give n*a(g) + p*o(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 149674 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: Sort 4, -0.5, -10, -0.029, -2, -0.2 in increasing order.\nAnswer: -10, -2, -0.5, -0.2, -0.029, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 40151?\nAnswer: 40137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313500352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, w: 7}. Give prob of picking 2 w.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-56959)\/11340 + 4 + 100\/80 and -125\/486.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, m: 1, z: 2, g: 1, l: 2}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 180525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16275292 and 2.\nAnswer: 32550584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 3}. Give prob of sequence mm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 7*w - 6*w. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -43*a + 19*a + 37*a. Let q(c) = 3*c. Give x(q(p)).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2079833347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 13.2, 4106.6?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (15 + 5 - 17)) + -12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 117760 = -36*c. What is the common denominator of 15\/(-10) + 1 + (-2830)\/c and -51\/8?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(572) - (1*sqrt(572) - sqrt(572)))\/sqrt(11))\/(sqrt(40)\/(sqrt(20)\/sqrt(2))))*1.\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5528 - 99595\/18. Find the common denominator of y and -11\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*g + 838 - 829, -5*i - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -7*y + 6*y. Let q = 316\/7 + -45. Put y, -9\/7, q in ascending order.\nAnswer: -9\/7, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g - 2544. Let u be r(121). Let c(y) = -4*y. Let l = 8 - -20. Let q(i) = -36*i. Determine l*c(p) + u*q(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.15399 rounded to 1 dp?\nAnswer: 42.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 535 and 116770.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 2. Let z(w) = w - 1. Let p(o) = 3*v(o) - 7*z(o). Let l(q) = 4*q - 1. Calculate -l(x) - 6*p(x).\nAnswer: 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u**2. Let p(s) = 175*s**2 - 3. Calculate -15*b(f) - 3*p(f).\nAnswer: -150*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207\/749 - 1\/107. Let a be ((-4)\/(-85))\/((-6)\/15). Let q = 59 - 60. What is the closest to h in 5, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0551 - 2.9449. Sort 4, 3\/14, m, -0.5.\nAnswer: m, -0.5, 3\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/(i*(i*i**(-5)*i*i)\/i))\/(i**(-1)\/i*i)**42*(i\/(i**5*i))\/i*i**(-2\/35)\/i*(i**(2\/3))**(11\/6) assuming i is positive.\nAnswer: i**(13597\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:18 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Let i(a) = -c*a + 4*a - 2*a - 2*a. Let b(y) = -4*y. What is b(i(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1938\/1021 or 3?\nAnswer: 1938\/1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 10 - 5 + 2*j - j as h + g*j and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-15))\/(90\/(-108))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362, 368, 378, 392, 410, 432, 458?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + -1 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1075812 and 46797822.\nAnswer: 93595644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*l - 0*b - 4, -l - 3*b = 6. Suppose l*r = -r + 2. Put 5, r, -5 in ascending order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1431386)\/242 + (-2)\/11. Let x = -3336 - g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3709 - -2385. Let f = -896 - o. Let r = f + -276. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258704940?\nAnswer: 2, 3, 5, 13, 29, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5 - 70\/(-30))\/(-29 - -34)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 61. Let q(d) = -d - 3 + d**2 - 2*d + 12*d**2. Calculate the remainder when q(-2) is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -56. Suppose u*t + 9 - 36 = 0. Suppose -4*b - 130 = -2*o - 384, 0 = o + t. What is the remainder when b is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 8*a - 3. Let w be r(8). Let m(v) = 7 + 2*v - 3 + 2*v - 6*v**2. Let j(o) = 5*o**2 + 1 - 2 + o - 2 - 4*o. What is w*m(q) - 4*j(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -408, -680, -992, -1344?\nAnswer: -1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 16*g**2 + 4*g - 42. Let r(t) = t**2 - 1. Let u(a) = i(a) - 12*r(a). Is u(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17914087 is divided by 144468?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6))**11\/((x**(-4)*x)\/(x*x**(2\/55))) assuming x is positive.\nAnswer: x**(727\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11864*r - 248. Let y be n(-8). What is y rounded to the nearest 1000?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlkqwfwlfwyqqfflw. Give prob of picking 1 l and 1 w.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:16 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1260\/((-720)\/20)*((-24)\/(-8))\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 5*c = -570. Suppose -4*t + 3*k + 12 = 0, 2*t - 7*t = 2*k - c. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93112 divided by -8713\nAnswer: 93112\/8713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9) - 35\/(-120). Let x be -6 - ((-16)\/(-136) - (-3188)\/(-510)). Is s smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*y = 2, 4*y = -f + 3 - 2. Solve -2*d + 9 = f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*n - 70*n, 0 = 5*p + 4*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c - 5*c + 0*c + (2*c + 0*c - c)*(2 + 1 - 1))*(-27*c**2 + 2*c**2 - 31*c**2)*(-3 + 3 + 1) to z*c + m + v*c**3 + s*c**2 and give v.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from nttjntnntn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-720)*8*(-1014)\/52.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -5*r - 0*r - 16, -4 = -5*r - t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-3)*(-81)\/54\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44588 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1042884 and 426924.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t + 265*t + 170*t.\nAnswer: 400*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -7*v**6\/60 + v**5\/30 - v**3\/3 - 66*v**2. What is the third derivative of t(n) wrt n?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(0 + 1 - 2)*((3 + 0 - 4)*(1 - 6 + 3) - 3 - 3 + 5)*(-2*b + 11*b - 10*b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or 276?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*t - t. Let g be 431\/6 - (-15)\/90. Suppose g = -5*a + 312. What is the smallest common multiple of t and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6.4. Let j = l + 0.9. What is the third biggest value in -1, j, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 347*x + 347*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 628 = -1109. What is the remainder when c is divided by (78\/9)\/(2\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -267*a**2 - 15*a + 272*a**2 - 72*a + 405 - 3*a.\nAnswer: 5*(a - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*h**5\/3 + 707*h**4\/3 - 643*h**3\/3 + 109*h**2\/3 + 36*h - 12 = 0. Calculate h.\nAnswer: -2\/5, 3\/7, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 32. Factor 0*b**3 + 0*b + 1\/3*b**z + 0 - 1\/3*b**4.\nAnswer: -b**2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-1)\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19678 - -19717. Solve z*o + 136 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 2*s + 2*s)*(26*s + 33*s + 10*s).\nAnswer: -69*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20301443 is divided by 24971?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -312, 1\/69 in descending order.\nAnswer: 0.2, 1\/69, -2, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 917990 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2321 - 1184 = -4*n + d, -n - 2*d = -874. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**4\/12 + 7*h**2. Let j(p) be the first derivative of 3*p**2\/2 + 913. Determine j(s(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d**2 + 6*d**3 + 3*d**2 - 2*d**2 - 4*d. Let q(x) = -7*x**3 + 8*x**2 + 5*x. Let g be (29\/(-58))\/(3\/(-30)). Determine g*q(h) + 6*m(h).\nAnswer: h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14526.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 101200?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 808, 62976 in decreasing order.\nAnswer: 62976, 808, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/11))**(1\/33)*s**(1\/9)*s*s**12*s assuming s is positive.\nAnswer: s**(15358\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2666 and 90117?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-39))\/((220\/(-22))\/360*-12)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-150)\/60)\/(3\/1596*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 597 and 1139011723.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 4. Let j(a) be the third derivative of -a**4\/12 - 3*a**3\/2 + 4*a**2. Let n(c) = -2*j(c) - 5*t(c). Give n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 73. Solve 4*a = s*d + 28, 6*d + 32 = 3*a + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n - 6. Let y(r) = r**3 + 9*r**2 + 7*r - 3. Let x be y(n). Solve -m + x = 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4899573654 to the nearest integer?\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/5 - 6*i**4 + 142*i**3\/5 - 186*i**2\/5 - 144*i\/5 + 216\/5 = 0. What is i?\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21433 - 32?\nAnswer: 21401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*y = -13986 - 1484 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 426657 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 2.6. Let u = 5 - o. What is the third biggest value in 0, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*k - 28. Suppose 213 = 3*w - 5*p, -47 = -w + 5*p + k. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*n - 11, 3*n + 1 - 7 = 0. Suppose 3*x = -r + 326, -2*x + 5*r + 570 = w*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) 10\/81 (d) -0.3 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8397600 to the nearest ten thousand.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 8) to base 14.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3162243.5 - 1591937.\nAnswer: -4754180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab - 7?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-15) + (-138)\/15. Let z be (-9)\/2*6\/q - -1. Suppose 3*c + 2*c + 25381 = z*u, 2*u + 2*c - 12704 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 2*h + h)*(-1 - 4 + 3) to the form l*h + n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-6) - (-12 - (-12138)\/1008).\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 2*sqrt(72))**2 - sqrt(2)) + -2 + sqrt(8) + (sqrt(242) + 0 + 3)**2 + -5*(-2 + 2 + 1*sqrt(2)*-1).\nAnswer: 72*sqrt(2) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -57329261040482.\nAnswer: 57329261040481.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**4 - 1008880*i**3 + 1384779*i**2.\nAnswer: 24*i - 6053280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 2150556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12256 and 30689024.\nAnswer: 30689024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 + 3*a**2 - 3*a. What is the units digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*80\/(-224) - (1 + -3259) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58499 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28486845.\nAnswer: 3, 5, 29, 83, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2167*g**2 + 13*g - 1188. Let v(j) = -6504*j**2 + 42*j - 3564. Let k(r) = 10*n(r) - 3*v(r). Find the second derivative of k(h) wrt h.\nAnswer: -4316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270652 - 0.49060823.\nAnswer: 1270651.50939177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w + 6 = -z + 36*w, -2*w + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (59 - 19 - 22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 54?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 43, -307, -655, -1001, -1345, -1687?\nAnswer: -2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46467648 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1551 and -7\/940?\nAnswer: 31020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152533709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/1 + -6 - -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*i - 28 = 0. Suppose -92 + 108 = i*c. Solve c*r - 6*m - 4 = -m, 5*m + 2 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l. Suppose -3*t + 2*o + 2 + 3 = 0, t - 3*o - 11 = l. Let q = 32 + t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 3*x**2 - 15*x - 19. Determine b(-6).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/54 - (-43)\/9. Let x(y) = 2*y + 2. Let g(v) = v + 1. What is r*g(i) - 3*x(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 6)*(-3*n**3 - n**3 + 2*n**3) - 9*n**3 - 23*n**3 - 24*n**3 in the form q*n**3 + o*n**2 + m*n + j and give q.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 478487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3961*h**2 + 67*h - 6 wrt h?\nAnswer: -7922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1673?\nAnswer: -2\/1673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from {i: 9, x: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vujj when four letters picked without replacement from {v: 8, j: 4, u: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83952.67ml?\nAnswer: 83.95267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28548\/3660 - 1\/(-5). Let o be (-3)\/(-6) - 18\/(-4). Solve 0 = -0*q - o*q + 2*v + 8, 3*q - 2*v - g = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) + 1\/2. Let g = -18.941 + 19.041. What is the closest to g in 5, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 584548002 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:41 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14033910 or 56135635\/4?\nAnswer: 14033910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12886 + 12969. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.66 - 11.66. What is the smallest value in 1\/5, -17\/6, q?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**3 - 1714*y**2 - 575*y + 804. What is r(286)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9277, 18552, 27853, 37192, 46581, 56032, 65557, 75168?\nAnswer: 84877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 300, 605, 928, 1275?\n\"Answer: d**3 + 286*d - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 151, 303, 469, 655, 867, 1111, 1393, 1719?\n\"Answer: b**3 + b**2 + 142*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - 3*z**5 - 3*z**5 - 3*z**5 + 75*z**5 + 30*z**5 + (-3*z**2 + 0*z**2 + 4*z**2)*(-z**3 + 3*z**2 - 3*z**2).\nAnswer: 92*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -58.9. Which is the second biggest value? (a) k (b) 2\/3 (c) -1 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3) + 1)*(-156)\/104. Let c(q) = 23*q. What is c(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 4*q**2 + 5. Let u be x(-4). Suppose -5*t = 4*r - t - 28, u*r - 15 = -t. Let b be (-2)\/7 + r\/7. Let i(h) = h**3 + h**2 + h + 7. Determine i(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(700) + 0 + sqrt(700)*-1)*2*-1*-6*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/41))**(-6)\/(v**18)**(2\/35) assuming v is positive.\nAnswer: v**(-1896\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c - 2. Let w(m) = -m**2 + 8*m + 6. Let r be w(c). What is the highest common divisor of 65 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (87\/145)\/((-2)\/10) + 4. Solve -5*z - h = b + 4, 3*z = -b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 344*o**2 + 0 + 71*o**2.\nAnswer: -273*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhzfgzzz. What is prob of sequence zhm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**3 + 10344*r**2 - 1811517*r + 1801176 = 0.\nAnswer: 1, 184, 3263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 smallest common multiple of 3*56\/21 + 4 + 186 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbnbnbnbsbssnbb. Give prob of picking 2 b and 1 s.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749368 is divided by 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45 + 30 + 7)*(84*m - 32*m + 78*m)*(5*m**3 - 5*m**3 + m**3) to y + v*m**2 + a*m**3 + b*m + u*m**4 and give u.\nAnswer: 10660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 6*r - 7. Let m(d) = 2*d**2 - 5*d + 6. Give 6*j(l) + 7*m(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {n: 1, y: 3, r: 1, x: 1, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 10. Suppose 5*r = -q - 44, -r + 2*q = y + 1. What is the remainder when 17 is divided by 24\/(-9)*r\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 0. Let z(s) = -s**3 - s**2 + 3. List the prime factors of z(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -117\/7, -2\/7, 5, -291, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -252, -817, -1918, -3735, -6448, -10237, -15282?\n\"Answer: -30*y**3 + 2*y**2 - 5*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -1)*(-4)\/(-6). Let h = 245 - 243. Let g(x) = 0*x**h - x**c + 1 - 1. Let v(y) = 4*y. Determine g(v(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41.48319 - 0.46581. Let y = a - 0.051. Which is smaller: 0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*c = 173*c + 28. Let j(i) = 3*i - 75. Let u be j(c). Which is bigger: -55 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9485385.\nAnswer: 3, 5, 7, 13, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + l + 4*l)*(l**2 - 4*l**2 + l**2) + (-9*l - 13*l - 6*l)*(10*l**2 + 245*l**2 - 48*l**2).\nAnswer: -5794*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, a: 2, x: 2, v: 3, s: 1, w: 1}. What is prob of picking 1 i and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n. Let w(c) = 19 - 7 - 12 - 62*c + 14*c. Calculate w(z(i)).\nAnswer: -240*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2464 in 1\/3, -3419, 0.1?\nAnswer: -3419","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 7*x - 3. Let w(n) be the third derivative of -n**4\/6 - 2*n**3\/3 - 2*n**2. Calculate the remainder when w(-4) is divided by g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - y - 1. Let d(q) = 2*q**3 - 3*q**2 + 1. Let z(r) = -5*r**3 + 9*r**2 + r - 2. Let k(v) = -11*d(v) - 4*z(v). Calculate -4*b(t) + k(t).\nAnswer: -2*t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5 = 2*c, 20 = 3*b - 5*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 51 = 123. Suppose -3*v + 3*k + 0 + f = 0, -v = -2*k - 17. Suppose 0 = w - 5 - v. Solve -g + 4*h = -h + 23, 4*h - w = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:40 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 139.4193?\nAnswer: -136.4193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.628664 litres in millilitres?\nAnswer: 3628.664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24879*k - 25084*k + 189 = 263 + 336 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43979 != 43969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 25*j + 13. Let z be a(17). Let n = -1165\/7 + z. What is the fourth smallest value in -2, 4, -0.1, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241 - 217. Solve p = 6*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxpppxxxxxxxw. Give prob of picking 2 p and 2 x.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/17)*b*b**1)\/((b*b*b**2*b)\/b**7) assuming b is positive.\nAnswer: b**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -536193, -1071998, -1607803, -2143608, -2679413, -3215218?\n\"Answer: -535805*f - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 10c?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 211765280 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 + 194. Let p = 50.11 - s. What is the closest to 1\/3 in -0.3, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -374*r**3 - 222*r + 27 wrt r.\nAnswer: -2244*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739633.7 millilitres to litres.\nAnswer: 739.6337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 36 = 30. Suppose -5*w + 12 = -2*u - h, -3*w + 3*u + 18 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 6*d**2 - 14*d + 46. What is l(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 518268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-21)\/(-112)*4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10625451, -21250904, -31876357, -42501810, -53127263, -63752716?\n\"Answer: -10625453*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l - 3*k - 29, 0 = -l - 5*k - 23. Let f be -2*((-2)\/l)\/((-68)\/255). Solve -y + 4 = -f*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**3 + 4*c**2 - 3*c - 4. Let s be v(2). Suppose 4*t - 25 = 2*w - 3*w, -2*t + s = 4*w. Solve -f + 4 = -2*o, t*o + 3 + 0 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 150 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468250 is divided by 4381.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111100011101101 (base 2) in base 13?\nAnswer: 109201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -25*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:21 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 + 6*j**3 + 4*j**2 + j**4 + 0*j**2 to w*j**2 + f*j + h*j**3 + p + y*j**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483125 by 96625.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 3*h - 5. Let q = -8 - -12. Let s be v(q). Suppose -5*p + s = 5*i, 2*i + 3*p = -7 + 14. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 14\/3, 2\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(-3*l**2 + l**2 + 4*l**2) + l**2 - 3*l**2 + 3*l**2 + l**2 - l + l + (1 + l - 1)*(7*l - 4*l + l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -13\/15*n**6 + 6*n**2 + 0*n**4 - 48*n + 0*n**3 + 0*n**5 + 0. Find the first derivative of i(x) wrt x.\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 10 = -3*n, 2*n + 1 = 3*a. Let w(d) = 6*d + 4. Give w(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182\/23, -0.6, -26, 2.\nAnswer: -26, -182\/23, -0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 3 = -2*l + 3 - 42, 0 = l + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10108 > -13700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1082818 and 839688.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1331*k**2 + 156.\nAnswer: -2662*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 5 (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -3a?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 333 + -4125102?\nAnswer: -4124325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.121 - 1.121. What is the fourth smallest value in 2, -2\/13, 0.4, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -458, -587, -718, -851, -986, -1123?\n\"Answer: -a**2 - 126*a - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p**4 - 2\/3*p**5 + 0*p**3 + 0 + 1\/3*p**2 = 0 for p.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72022632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/3 or 4\/251?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/27 - 129\/(-27). Let j(z) = -2 + z**2 + z + 5*z**2 + o - z**3. Calculate j(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/7)\/n)**(-21\/4)*(n*n**0)\/(n**9*n) assuming n is positive.\nAnswer: n**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-15)\/1440 - (-1201)\/16\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6189222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -368*y - 281 - 455. Sort y, -11, -5, 2\/15, -1\/4 in increasing order.\nAnswer: -11, -5, y, -1\/4, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((18\/(-3))\/3). Let v = -1.9 - -1.1. Let f = v - -0.3. What is the closest to j in -1\/4, f, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89b (base 14) in base 15?\nAnswer: 78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 332888 and 1206719.\nAnswer: 9653752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13569251 or 13569252?\nAnswer: 13569252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 36*b**4 - 6936*b**3 + 21014*b**2 - 21081*b + 7038.\nAnswer: (b - 102)*(b - 1)**3*(b + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3374, -3374, -3372, -3368, -3362, -3354, -3344?\nAnswer: -3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27068907 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(2 + -3 + sqrt(108) + 1)**2*-2 + -4.\nAnswer: 4316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 286734 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o + 4. Let u be i(3). Let j = -19357 - -19346. Which is smaller: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 390, 269, 148, 27?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from zppppzzppzzzppzzzpz?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.6 - -30.9. Which is the third smallest value? (a) -4 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -10. Let l = -0.4 + 0.2. Sort i, 1, l in decreasing order.\nAnswer: 1, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1\/2)\/(18\/324).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15954 divided by -806?\nAnswer: 7977\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)\/sqrt(2) + (sqrt(260)\/sqrt(5)*2 - sqrt(52) - sqrt(52)))\/(3*sqrt(8)\/(sqrt(2)*4)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 124, 194, 260?\n\"Answer: -2*f**2 + 80*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -1, 26, 95, 224, 431, 734, 1151?\n\"Answer: 3*v**3 - 6*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 77*t**2 + 67*t + 29. What is the remainder when f(25) is divided by 156?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 318, 1143, 2254, 3435, 4470, 5143, 5238, 4539?\n\"Answer: -36*q**3 + 359*q**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y, -h + 4*y = -6*h - 2. Let a be h - ((-1902)\/477 - -2). Let r(l) = -l**3 + 10*l**2 - 149*l + 896. Let j be r(7). Which is greater: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 4, 0 in decreasing order.\nAnswer: 4, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1147864 greater than -1147865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63342 or -0.2?\nAnswer: -63342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*x - 92999975, 2*x = h + h - 61999990. Round x to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38838*u - 2192*u**2 - 2 + 2 + 38838*u.\nAnswer: -2192*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, 1\/9, 5 in decreasing order.\nAnswer: 5, 6\/11, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2)*q\/(q**(-1)\/q*q))\/(q**(-1))**(-15)*((q\/q**(-1\/9))\/(q\/q**3*q))\/(q*q*q\/(q\/(q*q\/q**1))*q**(-3\/2)\/q) assuming q is positive.\nAnswer: q**(-98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15491, -15493, -15497, -15503, -15511, -15521?\nAnswer: -15533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 - 2*r. Let h be u(-2). Let q = h - 32. Let p = q + 145. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a + 2. Let p be c(0). Suppose 0*d - 166 = -p*d. Let g = 47 + d. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 140, 213, 288?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*l**2)*(1 + 3*l**3 - 1 - l**3 + l**2 - l**2 + (1 + 0 + 1)*(0*l**3 + 0*l**3 + 2*l**3)).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmivmimcmciiigmmm. What is prob of sequence imi?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -144. Calculate the greatest common factor of 54 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*g**4 + 76*d**3*g + 65*d**2*g**2 + 4435*d*g**4 wrt g.\nAnswer: 24*d**3*g + 106440*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-440 + 420 + 1 + -1 + -4 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8162 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22519656, 22519653, 22519650, 22519647, 22519644, 22519641?\nAnswer: 22519638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18721008 and 2320?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 1. Let b be r(2). Let l be (-1 - 8\/(-4))*b. What is the closest to 0.1 in l, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, and 1 v when three letters picked without replacement from qvfkovw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2016\/196 - (3\/(-1) + 3). Factor 21*a**3 - o*a - 9*a**2 - 12\/7.\nAnswer: 3*(a - 1)*(7*a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2490 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 19*j. Let v(p) = -4*p - 2. Determine q(v(m)).\nAnswer: -76*m - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 63 + 71 = 0, -2*j = o - 9046. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113884.907497 + -113885. Round r to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205 - -353?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 11*r - 5*r - 9 = 5*r + 12, -640*r + 634*r = -3*k - 129 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**4\/24 + 5*f**3\/3 - 445*f**2. Give h(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119*(-77)\/(-269654)*(4\/6)\/(7\/6).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 > -3\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/2238 and 59\/126?\nAnswer: 46998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 4\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3689852 and 16.\nAnswer: 14759408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 1. Determine l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 268403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, 5.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117606036 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 - m**2)*(-m**3 + 0*m + 0*m) + (m**3 - 3*m**3 + 2*m**2 + 4*m**3)*(-6 + 6 - 3*m**2).\nAnswer: -5*m**5 - 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 3*r + 3*r)*(3*r**3 - 5*r**3 + r**3) + 2*r**4 + 4*r - 4*r + 0 + 14731*r**4 + 180155*r**2 + 3354*r**4 + 0 - 180155*r**2.\nAnswer: 18086*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -66 + 58. What is the units digit of (128\/(-80))\/(r\/180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71906774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itttukvtituukkvkti. Give prob of picking 3 u and 1 i.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3533342 (base 7) to base 6\nAnswer: 13313555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/5, 0.05, 96.5, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 6:52 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 94. Let p be 152\/2 + 54\/(-27). Suppose 2*y - 18 = -v, 2*v = -3*v - 2*y + p. Calculate the greatest common divisor of n and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244195904.\nAnswer: 2, 19, 409, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566634 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826.2773l to millilitres.\nAnswer: 826277.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158c986 (base 13) to base 5.\nAnswer: -3234033012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9085160?\nAnswer: 2, 5, 7, 71, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 591, 1178, 1763, 2346, 2927, 3506, 4083?\n\"Answer: -u**2 + 590*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b*b\/(b\/(b\/(b*b**(-1)\/b))))\/b*b))\/b*b)**14*b*b*(b*b**(-4)*b*b)\/b*b*b*b*b**5\/b*b)**(2\/9) assuming b is positive.\nAnswer: b**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*w - 152*w + 1556974 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/3 - 139*f**2. Let a(v) = -43*v. Give a(q(j)).\nAnswer: -344*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -329478726 divided by 93\nAnswer: -3542782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -21. Suppose 0 = -7*o + 2*o + a. Which is greater: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -39 - 201\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 minus 1.77631?\nAnswer: -144.77631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(42)\/sqrt(294))**2 - sqrt(7)) + -3 + -4 + 3).\nAnswer: sqrt(7) + 27\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 104\/(-910)*-231?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 487\/72 - 55\/8. What is the fourth smallest value in 2, -5, x, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -920, -200 in descending order.\nAnswer: -5, -200, -920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:44 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 2923, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 4*p + 5*y - 62, -2*p - 2*y = -64. Suppose 468*a - 1485 = 463*a. What is the greatest common divisor of a and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2241665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -493a (base 11) to base 10\nAnswer: -6456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -58, -48, -8, 68, 186?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -1458*k**5 + 5558382*k**4 + 166153464*k**3 + 109121888*k**2 + 24127296*k + 1782688 = 0.\nAnswer: -29, -2\/9, 3842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 2. Let h be o(0). Let w be h\/(-6) + 10\/(-75). Let 0 - w*v + 0*v**2 + 1\/5*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*a - 22 = 0, 0 = -3*p - 4*a + a - 21. List the prime factors of (-44)\/p - (-4)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -96. Suppose 2*v = 2*b + 94, u*v + 30 = -b + 136. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*2*3. Let t(n) = -n**3 + 1. Let k(d) = -2*d**4 - 3*d**3 + 4*d**2 + 1. Let u(g) = z*t(g) + k(g). Factor u(l).\nAnswer: -2*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92600, 185207, 277822, 370451, 463100, 555775?\nAnswer: 648482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257059329 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = -13*m - 273 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 74039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.1575481 to one decimal place.\nAnswer: -265.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2970, -4027, -5790, -8259, -11434, -15315, -19902?\n\"Answer: -353*v**2 + 2*v - 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18711443 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 94c56 + -663?\nAnswer: 945e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11953 + 11955.3426. Let b = -2.32 + i. Round b to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -215 + -171?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 1\/2*w**3 - w - 8*w**2 + 0. Differentiate o(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1473 (c) -1 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**4 + 2*t**2 - 3. Let j(l) = 4*l**4 + 3*l**2 - 5. Let i(b) = -3*j(b) + 5*x(b). What is the third derivative of i(w) wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196001503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/31)\/x**(-10\/3))\/(x**13*x**(-4\/11)*x) assuming x is positive.\nAnswer: x**(-10474\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 3?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1988 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54776 and -0.5.\nAnswer: -54776.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 + -123 - (11 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7800.5 days in minutes?\nAnswer: 11232720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 10) to base 8.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n - 4*n + 3*n)*(0*n + 3*n + 0*n)*(0*n**2 - 5*n**2 + 3*n**2) + 1575*n - 3 + n**3 + 7*n**4 - 1575*n as q*n**4 + c + p*n**2 + i*n + g*n**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -23 + 17 + (76 - -2)\/3. Let t be (-1)\/3*2*3. Let u be ((-4)\/(-2))\/((-2)\/t). Solve -2*x + 2 = -2*g, -3*g - u*x = g - k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -128*g - 1783. Calculate v(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*m**3 - 76*m**2 - 130*m**3 - 5*m**3 + 2*m**4 to the form p + a*m**3 + x*m**4 + c*m**2 + r*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 181*q + 719. What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 24*n**3 + 5*n**2 + 2. Let y be b(-3). List the prime factors of y\/(-9) - 6\/(-27).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(570)\/(sqrt(10) - (sqrt(10) - sqrt(10)*2)) - sqrt(513)\/(sqrt(9)*-2))\/(sqrt(24)\/(sqrt(72)\/(sqrt(9)*1))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -3 (c) -1 (d) 3351 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 27, 113, 271, 519, 875, 1357?\nAnswer: 1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + r**2 + 3 + 0*r**2 - 2*r to g + s*r**2 + j*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82180 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74094818.\nAnswer: 2, 7, 5292487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.524853 times 0.1?\nAnswer: -0.0524853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -268, -273, -280?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2750\nAnswer: 8250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -4. Let h = 3.5 - m. Let a = 0.031 - -0.069. What is the closest to -1 in 0.4, h, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b - b**2 - 6 + 7 + 3. Let y(x) = -x**2 - 5*x + 5. Let a(q) = 7*h(q) - 6*y(q). What is a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 31*u**2 - 107*u - 29. Determine a(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2) + sqrt(8))*4.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38243.16912 rounded to the nearest one hundred?\nAnswer: -38200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vuvvuuvvvvvvvvv.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.5? (a) 6 (b) 11 (c) 3\/218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238*t + 16286 + 19003 = -13199 + 206 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 1. Let c(w) = 3*w. Give n(c(m)).\nAnswer: -15*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/2, -5 in ascending order.\nAnswer: -5, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -70912593 divided by -762501?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d**5 + 218*d**4 - 1260*d**3 - 13212*d**2 - 19278*d + 7938 = 0 for d.\nAnswer: -3, 1\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -105. Let g(a) = -a**3 + 10*a**2 + 28*a - 26. What is the units digit of g(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen ninths of a day in minutes?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4))\/(4431\/(-64988)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 6*f**2 + 4*f - 7. Let o(x) = -2*x + 3. Let h be o(4). Let n be r(h). Put -3, n, -1 in increasing order.\nAnswer: -3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2988?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1656006 nanoseconds?\nAnswer: 0.0000001656006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -135726, -134266, -132806, -131346?\n\"Answer: 1460*m - 137186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = 12*c + 7*z - 21, 0 = -2*c - z - 0*z + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -0.09. Which is the nearest to n? (a) -1 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m - 44. Let b(a) = a**3 - 12*a**2 + 12*a + 2. Let n be b(m). Let q = 21 - n. Solve -q*u = -3*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45994*x**3 - 122522*x**3 + 41028*x**3.\nAnswer: -127488*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161931?\nAnswer: 3, 7, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/2 + 12*d. Let c(q) = 209*q - 55. Let t(w) = -15*w + 4. Let x(z) = -4*c(z) - 55*t(z). What is x(i(a))?\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 2. Let j be -1 - p - (1 - 0\/(-1)). Suppose -5*v + 5*f - 15 = 0, 5*v - f - 9 = -4*f. Solve v = y + 5*n - j + 1, -2*y = 5*n + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 20*r = -1505. Suppose -24 = 207*t - r*t. Solve 1 = 2*w + n, w - 5*w + t*n = 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10)\/f*f)**(1\/55))**(-2\/25) assuming f is positive.\nAnswer: f**(4\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 65*b**2 - 53*b + 2688. What is x(32)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 107 = -4*m + c, -5*m - 210 = c. Let z = m + 46. Suppose -34 - z = -o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953737471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92.8739 + 19.\nAnswer: -73.8739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 10*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.051734, -0.1, 3.\nAnswer: -0.1, -0.051734, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -138789 times 1035?\nAnswer: -143646615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 362 = u + 4*q, -3*q = -2*u + 759. What is the greatest common factor of u and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (8736*o - 8737*o + 68 + 3)*((4 - 1 - 2)*(0*o**4 + 2*o**4 + 0*o**4) + 0*o**4 - 2*o**4 + 4*o**4) + o**5 - 4*o**4 + 4*o**4.\nAnswer: -3*o**5 + 284*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x**2 - 3008840 - 3*x**2 - 3*x + 3008840 - x.\nAnswer: 21*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -7)\/((-2)\/(-4)). Let n(d) = 14*d. Let a be n(l). Let i be (a - -3)*-2 + 0. Calculate the greatest common factor of i and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 11*f - 13*f + 33*f = 7*f + 7*f, 0 = 11*m + 4*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 19282404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0302*-7\nAnswer: 0.2114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 762 and 10.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*-1 - 188. Find the common denominator of (9\/d)\/((-4)\/(-354)) and (-3 - -2) + 189\/(-30).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 462 = -2*v, 2*q + 45*v - 46*v = 82 + 31 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + 11)*(-3)\/(20 + -2). Solve f = -b + 4*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*k**3*u + k**3 - 2159*k**2 - k*u wrt k.\nAnswer: -120*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {h: 2, y: 1, j: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 0 = 3*u. Let q be (-2)\/(-2)*(1 - 0). Let t be q\/4 + 9\/(-4). Put u, 0, t in descending order.\nAnswer: 0, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 - 3?\nAnswer: -2.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/5286624 and 19\/504.\nAnswer: 15859872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v + v)*(2*v + v**2 - 2*v)*(2*v**2 + 0*v + 0*v + (v + 2*v - v)*(-6*v + 4*v + 3*v) + v**2 + 2*v**2 - v**2 - 5*v**2 - v**2 - v**2).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -2\/19 (b) 0.06 (c) -0.3 (d) 0.02 (e) 12660\/11 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14042 is divided by 1168?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2481669)\/(-99))\/((-5)\/(-55)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 + -10020122020102?\nAnswer: -10020122021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 7000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = f - g, f + 15 = -5*g. Let h = 13 + f. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j + 1\/24*j**4 + 16\/3*j**3 + 0 - 5*j**2. What are the prime factors of v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 10, -67, -9 in decreasing order.\nAnswer: 10, 3, -9, -12, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5941\/11880 - 1\/11880. What is the fourth smallest value in 0.3, -1\/3, q, -0.326, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26.40107 milliseconds?\nAnswer: 26401070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 6:31 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 523867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:52 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15135 - 24?\nAnswer: 15111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 divided by -1?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3495540 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 58*r + 442 = 6*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 3, m: 3, f: 2, k: 1}. Give prob of sequence jk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 14*n + 14 = -2*h + 43, 5*n = 2*h + 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 295.7 and -2.\nAnswer: 293.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 32*r - 2. Calculate f(3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1643 + 2777. Which is smaller: u or 1133?\nAnswer: 1133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**8\/56 + 17*r**4\/24 - 12*r**2. What is the second derivative of a(x) wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-6))\/((-7)\/(-42)). Suppose 5*b + h*t = 2630, 5*t + 1015 - 2595 = -3*b. What are the prime factors of b?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/40 + 246924\/32. Suppose 5*r - 2*n - 13919 = -4241, -5*n + h = 4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.58, -26, 1\/4, -1\/5, 3, 0.18 in descending order.\nAnswer: 3, 1\/4, 0.18, -1\/5, -1.58, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -243107 + -137?\nAnswer: -243245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m - 5. Let o = 19 - 10. Suppose -4*s = -o + 29. What is g(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/16 and -37\/42236072?\nAnswer: 84472144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 672409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 101 = 41. Let p = 26 + b. Let n(t) = 3*t**2 - 2*t + 12. Let k be n(5). Calculate the greatest common factor of k and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 93 + -355?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from bpnbnbhbhbbj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2003 + 0.0997. Let u = -2 + -1. What is the second smallest value in -5, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6 = -6, -5*l - 25 = -5*g. Factor -189 + 397 + 3*t**g + 12*t - 199.\nAnswer: 3*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 28. Suppose -5*y + 6 = 2*c, 0 = o*c - 7*y + 3*y + 18. Let l(f) = 40*f**2 + 5*f + 5. List the prime factors of l(c).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + -3 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -5a5a5?\nAnswer: -5a591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4*d - 12. Let k be t(6). Suppose 0 = -q - 2*q + 18. Suppose k = q*f - f - 40. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, -31, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4896663*t**2. Let o(g) = -3*g. Determine o(z(a)).\nAnswer: 14689989*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34104 - 34087. Solve b + 3 = 3*q, -15*b - 3*q = -u*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 - 22722\/(-18). Suppose -25*n - i + 14412 = 0. What are the prime factors of n?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/691050 and 149\/248778.\nAnswer: 6219450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-6))\/(20\/(-4))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 598.1385 litres?\nAnswer: 598138.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0 = 2*t - 6, -k + 9 = 3*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q + 62. Let f be i(8). Is (-3)\/f - (-76851)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-24)*(1 - 2)*-8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 74337273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 31. Which is the third biggest value? (a) -8 (b) 2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 3*y - 126.\nAnswer: 3*(y - 7)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82.7359 + -0.1641. Let y = 70.78 + -145.78. Let z = p - y. Round z to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361503678 a multiple of 1486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 22. Let d = 11.6 + j. What is the nearest to d in 3\/4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221244400 (base 5) in base 12?\nAnswer: -b87328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 415\/(-25) - (-3)\/5. Let m(l) be the first derivative of l**4\/4 - 4*l**3\/3 - 9*l**2\/2 - 24*l + 3. Let x be m(c). Round x to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110519*u - 2 + 111203*u + 0)*(3*u**3 + 7*u - 7*u) as z*u**4 + m*u**2 + p + y*u**3 + g*u and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 42. Suppose c*g = 10*g + 16. Solve -10 = -5*h - 0, -h - 2 = g*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/171 + (-29)\/9. Suppose -s = 1 - 3. Let y be ((-1)\/(-5))\/(2\/10). Sort t, s, y in decreasing order.\nAnswer: s, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253069 divided by 1?\nAnswer: 253069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32261559.\nAnswer: 3, 11, 173, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 divided by 3?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert b4 (base 12) to base 8.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8227 and 9728.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 14*n**2 + 2*n - 2. Let f(l) = -37*l**2 - 5*l + 5. Let u(r) = 3*f(r) + 8*z(r). Let i(w) = -w**2 - 2*w - 5. What is 2*i(y) + 4*u(y)?\nAnswer: 2*y**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118\/24 - (217\/(-31) + 12).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6118 and 117344.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngmgnnmmbbmmbnngn. What is prob of sequence ngm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 138668320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 6*t + 2*v + 50, -5*t = 5*v - 75. What is the highest common divisor of t and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((448\/(-16))\/14)\/22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 568510 and 2425370.\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65333 is divided by 21772.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 - 4*q + 5. Does 36 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162 - 136. What is the second derivative of -33 + 46*y + a*y**2 + y**3 + 34 + 5*y**2 wrt y?\nAnswer: 6*y + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106 + -110. Let n be ((-8)\/(-3))\/t*-3. Let o be 0\/(-4) - n\/10. Which is the nearest to -3? (a) -0.5 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 12)*9\/6. Let i = 168 + -172. Let g(l) = 20*l + 224. Let p be g(i). What is the highest common factor of p and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2\/7 + 1420376*s\/7 - 2840736\/7.\nAnswer: -4*(s - 355092)*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-12 - -6 - -7) - 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Let h = r + 3. Find the third derivative of -8*w**2 + 5*w**2 - w**h + w**2 wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 - -168. Let z(a) = 4*a**2 - 21*a + 16. What is z(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 2310223440?\nAnswer: 2310223441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 109*x + 3. Let a(c) = -c**2. Give o(a(p)).\nAnswer: -p**4 - 109*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.05 + 0.05. Let s be 1 - 3\/6 - 1. Are g and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 + 136500\/1920)\/(9\/6)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*g**2 - 4 + 68*g**2 - 9 wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36522 - 179*d + 36522)*(0 + 2 - 1).\nAnswer: -179*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 - -7.2. Suppose 0*g + 84 = 4*g. Let h = -20 + g. What is the second biggest value in h, 16, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 5*v - 2*v)*(v**2 - 2 + 2)*(v - 4 - 4 + 6) to the form b + f*v**4 + z*v**3 + p*v + h*v**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 2*a**2 + 6*a - 5. Let s(f) = 6*f**3 - 6*f**2 - 17*f + 14. Suppose -15*p + 216 = -39. Calculate p*r(z) + 6*s(z).\nAnswer: 2*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2747, 2, -369?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/2 + 5*j**4 - 161*j**3\/6 - 41*j**2\/3 + 22*j + 12 = 0. Calculate j.\nAnswer: -6, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136671?\nAnswer: 3, 45557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 6422 + 3198. Calculate the common denominator of 18\/(-261) + u\/(-348) and 4\/337.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**2 + 13*a - 13*a + 3*a - a**2 - 3*a - 4*a**2 - 2*a**2 + 4*a**2 + (4*a - 2*a - 3*a)*(-a + 0 + 0) in the form l*a + z*a**2 + c and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2934*n**3 + 244 wrt n.\nAnswer: -8802*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -20 (c) 0 (d) -4 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49700, -49698, -49696, -49694, -49692, -49690?\nAnswer: -49688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 0.1 (c) 0.059 (d) -0.009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 + 3*l + 3. Let c(f) = -f**2 + f + 1. Let d(a) = 3*c(a) - z(a). Let t = 11 - 6. Let v be d(t). Solve 4*g + v = 2*n + n, g = -n - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*q - 1)*(-2 + 2 - q) + (3*q + 3*q + 5*q)*(-2 + 2 - 6 + 2*q) to p + s*q + h*q**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -17*l**2. Let q(t) = -4*t - 645*t**2 + 1248*t**2 - 680*t**2 + 4*t. Calculate -22*h(b) + 5*q(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1.5, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 r when four letters picked without replacement from {r: 5, x: 7}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8693936 + -4664936. Round a to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13*c - 13*c + 34*c. Let u be t(1). Solve -u = 3*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 18, -305502, -22?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c)**29 assuming c is positive.\nAnswer: c**(-145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10706*s + 2427 - 1214 + 10706*s - 1770*s**2 - 1214 + 536*s**2.\nAnswer: -1234*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = 27*q. Solve -81*l + 59*l - 66 = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26605 and -26607 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13644.6 - -13645. Let x = 5 + -9. Sort b, x, -3 in descending order.\nAnswer: b, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -6)*(-99)\/(-396) + 15\/(-9)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-2*6 + sqrt(275) + 0 + sqrt(275) + 5)**2 - (-5*(sqrt(275) - (-1 + sqrt(275))) + sqrt(275))*5*3)*-1.\nAnswer: -27600 + 575*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v - 865 = 0. Suppose v = 11*x - 16*x. Let b = -116 - x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14674051174291 and -0.5?\nAnswer: 0.64674051174291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -d8f53?\nAnswer: d8f64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b + 7. Let v be 52\/(-10) - (-1)\/5. What is z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3088680 and 3990?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 7 - 1 + 11*k**2 - 10*k**2 - k. Give p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30806*c**2*l - 445*c**2 - 12 wrt l.\nAnswer: -30806*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 + l + 1. Calculate b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -160, -352, -616, -952, -1360?\n\"Answer: -36*s**2 - 12*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 2, h: 3, f: 3, b: 3}. Give prob of picking 1 f and 1 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 12. Suppose -2*b = 2*x - 3*b - 98, r*x - b - 242 = 0. Suppose 5*d - 42 = -2*a, -a - d = 3*a - x. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 69002*w - 207024. Calculate l(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + h = -194, 0 = 4*x - 4*h - h + 132. Let w = 6 - x. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(1\/1))\/(((-35490)\/65)\/(-182)))\/15\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -a - 54, 5*a - 15 = -4*n + 27. Calculate the remainder when 545 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -697.4445813 and 0.3.\nAnswer: -697.1445813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1462 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240890 - 457890. What is k rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1816 + 915. Let b = 1604 + t. Suppose -5*n - 218 + b = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 2176?\nAnswer: -2173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*s - 2 - 88*s + 538*s - 101*s - 108*s - 124*s.\nAnswer: 30*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14990*s + 1289065. Give l(86).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97982.32 millennia to months.\nAnswer: 1175787840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 20*i + 423. Let o(u) = -8*u - 4. Calculate -3*o(n) - x(n).\nAnswer: 4*n - 411","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 53*p + 901. Determine n(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 1\/12*l**4 + 0*l + 1\/30*l**5 - 1\/3*l**3 - 1\/60*l**6 - 3*l**2 + 0. What is y in z(y) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -3. Suppose -4*m = -b - 14, 3*m + 30 = 42. Find the third derivative of -8*n**5 - 12*n - 4*n**5 - 7*n**b + l*n wrt n.\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tift when four letters picked without replacement from {i: 2, r: 2, t: 7, f: 1}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-25 - 6) + 36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 863 - 887. Is l equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -911728 - 0.3.\nAnswer: -911728.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 20*t + 19. Calculate s(18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c - 484. Let f = -5035\/6984 - 1\/776. Calculate the common denominator of f and (2\/1)\/((-48)\/c).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r**2 + 2*r - 1. Let j(f) = f + 4. Let u be j(-3). Let l be o(u). Let a be 1*(0 - (-3)\/l). Are a and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 33. Which is the biggest value? (a) 0.04 (b) 1\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -17238 + 2110. What are the prime factors of s?\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.3986403 to three dps.\nAnswer: -25.399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -290 (c) -2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*t + q + 8, -5*t - 3*q = -39. Suppose 180 = 3*u + t*u. Suppose -2*g - 3*x + 1 = -4, 4*g - u = -5*x. Solve 2*a + 0*a = g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m = -18 - 82. Let l be (-10)\/24*4 + m\/(-6). What is the second smallest value in l, 29, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 39. Let r = -0.01 - 0.49. Let j = -36.5 - -37. What is the third biggest value in j, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**(-9)*n*n)\/n)\/n*n*n*n*n\/(n\/(n**(-42)*n*n)))**(-6\/23) assuming n is positive.\nAnswer: n**(264\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, i: 2, t: 4}. Give prob of picking 1 i, 2 k, and 1 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ollggogg. Give prob of picking 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353539870.\nAnswer: 2, 5, 29, 439, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 8\/(-10) - 37\/(-40). Let g = -169 + 170. Let t = 0.08 + -3.08. What is the smallest value in t, p, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8079 is divided by (-24*15\/(-280))\/(3\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106.74 + -111.74. Let b be (-6)\/14 - 1*-1. Let o be (-6)\/2*2\/(-21). What is the nearest to o in -4, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 - 59 = 0. Let i = w + -37. Let b = 21 + i. Calculate the least common multiple of b and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 12:37 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1295 + 1294.9995865. Round c to 5 decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309 a factor of 91560030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11714.5321 - -11714. Let f = 0.0501 + p. What is f rounded to 2 dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -4 + -5)**2 + 0 + -3 + ((-5*4*sqrt(50))\/sqrt(10))**2.\nAnswer: -180*sqrt(5) + 2578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybbbobobybbb. Give prob of picking 2 o and 1 y.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100584 by -11176.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -19. Suppose b = -4*p + 4. Let y be (-2)\/(2 - 12\/8). Is p not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p**2 - 4*p + 2. Give c(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0574 + -33.0574. Let k = 728935628 + -728935595.00000088. Let h = k + u. Round h to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(325)*3.\nAnswer: 135*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/16 + (-78)\/(-8). Suppose 2*i - b = -3*i. Factor i*q + q - 22*q**2 + 55*q**2 + 21*q**3 - 9.\nAnswer: 3*(q + 1)**2*(7*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1797556729.\nAnswer: 937, 1918417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -10*w**5 - 925*w**4 - 10685*w**3 + 1705*w**2 + 257895*w - 127980 = 0?\nAnswer: -79, -9, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 43*w**2 + 496*w - 1728.\nAnswer: (w - 27)*(w - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 53*z - 84. Determine c(10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240 - -375. Let g be 360\/27*9\/2. Let s = z - g. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3641 + -3643. Put 4\/7, u, 0.11 in descending order.\nAnswer: 4\/7, 0.11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10818296, -10818300, -10818306, -10818314, -10818324, -10818336, -10818350?\nAnswer: -10818366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let u be (-2)\/(-8) + s\/4. Let g(f) = 7*f + f**2 - 4 + 0*f + 7 + u. Calculate g(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i - 69 = 0. What is the remainder when i is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5984327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**3*y**2 + 101*n**3*y - 635*n**2*y**2 + 4*n**2*y + 17*n*y wrt y.\nAnswer: -8*n**3 - 1270*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21789 - -21866. Solve 0 = -16*t - 189 + g for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - 14*c - 54. Let f be q(-5). What is the highest common factor of f and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/((-4)\/(-40)). Suppose -l*j - 212 = -548. Suppose -15*k - 12 + 327 = 0. What is the greatest common factor of k and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 13) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/12 + (-2)\/8. Suppose -b = -3*r + 3 - 5, o*b + 22 = -3*r. Let p(x) = -4*x**3 - 2*x**2 + x. Calculate the remainder when p(r) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 6:38 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/27 and -59\/18724287.\nAnswer: 168518583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107\/35 - -20\/7. Let m be 1*(-1)\/1 + -15. Let o be m\/(-10) + (-1 - 1). What is the second smallest value in o, g, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 169*z - 2267. Calculate w(69).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p - 148241 = 45667. Which is smaller: p or 2937?\nAnswer: 2937","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/2)\/a**(1\/8))**(-22) assuming a is positive.\nAnswer: a**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10344*z**2 + 3546 - 3546 - 24719*z**2.\nAnswer: -14375*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-86)\/(-4) + (-4)\/(-8). Let d be -26*1\/(-1 - 1). Let m = z - d. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 + 20*w**2 - 72*w - 511. Give a(-11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 35*1*(-18 + 14552\/119)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 500853 - 30?\nAnswer: 500823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(0*v + 0*v - v**2) + (-v + v + v**3)*(-1374 + 2831 - 1106).\nAnswer: 353*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2742603029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 25. Let q be f(5). Let i(g) = g**3 - 5*g**2 + g + 3. What is i(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588.52 * -0.08\nAnswer: -47.0816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/30)\/(66\/275)*8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1813 = 40*c - 896 - 877. Let i = 1823\/7 - 260. What is the nearest to c in i, -0.1, 0.5, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Let k(y) = -108*y**3 + 3*y**2 - y - 1. Let b be k(1). Let r = b - -111. Solve 2*g + 3*g = -a - 11, -r = 2*a + c*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/32270 and -79\/4305?\nAnswer: 3969210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - -3.90017. Round k to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2042099.\nAnswer: 157, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4768 divided by -3551?\nAnswer: 4768\/3551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2703526 divided by -1351763\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -40689, -2 in decreasing order.\nAnswer: -2, -3, -40689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 0.1 (c) 74 (d) 4\/3 (e) -5 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001516506 rounded to seven dps?\nAnswer: 0.0001517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*d + 136. Let u = d + 21. Solve -v + u*v = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19529 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 the value of (21*(-4)\/12 + 86\/12)*-4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37730 and 500357?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*t - 2136 - 1709, 4*t = -5*a + 3845. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*g**2*v**2 - 12*g*l*v**2 - 2*g*l - 3*l*v**2 + 11*l*v + 10 wrt g?\nAnswer: 10*g*v**2 - 12*l*v**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d. Let r(g) = 6*g. Let l(w) = 5*k(w) + 6*r(w). Let m = -66 - -97. Suppose 39*n = m*n + 8. Let b(a) = -2*a - 3. What is n*b(o) + l(o)?\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29582, 59166, 88750?\nAnswer: 118334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 16*i = -3*z, 4*i + 5*z = -13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.393181 - -407815.\nAnswer: 407814.606819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 8*h + 11*h - 2*h - 5*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12849091?\nAnswer: 439, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 168665581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoh when three letters picked without replacement from hhhhhhhhhhhhhhhohh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.6 + -16. What is the nearest to 0 in y, -0.05, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -2)*1 - (sqrt(931) + (sqrt(931) + sqrt(931) + sqrt(931) + -2 + sqrt(931))*-6).\nAnswer: -14 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310 or 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454219?\nAnswer: 454219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:18 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -17*z**7\/42 - 19*z**3\/6 - z - 5. Let f(o) be the first derivative of y(o). Find the second derivative of f(r) wrt r.\nAnswer: -340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**2\/2 - 37*i - 6. Let x(l) = l + 7. Let b(g) = -8. Let c(f) = -4*b(f) - 5*x(f). Calculate -c(n) - 3*q(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkktkkkvggg. What is prob of sequence kvgk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3.9. Let y = -4 + 2. Let g be 3\/(-2) - 0 - y. Which is greater: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-28))\/(-6)*(-1323)\/(-270)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**6 + 0*a**3 - a + 19\/12*a**4 + 20\/21*a**7 + 2 - a**2 + 0*a**5. Find the third derivative of r(q) wrt q.\nAnswer: 2400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.160471 rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2. Let v(j) = -4*j**2 - 1. Let t(a) = -9*c(a) + 2*v(a). Let l(o) = -5*o**2 + 10. Let s be (-17)\/((-153)\/90) - 8. Calculate s*l(k) + 11*t(k).\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 + 26559 + 26563 - 8*l**2 - 163*l**4 - 53122 + 7*l**3 as d*l + a*l**3 + x*l**2 + q + w*l**4 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -56. Suppose -4*i + 1541 = -m*j, 3*i - 3*j = 4*i - 404. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3718 + -3687. Sort 1\/4, 1\/7, t, 2, -3\/8 in ascending order.\nAnswer: -3\/8, 1\/7, 1\/4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 31*u**2 - 13*u. Let m(j) = j**3 - 8*j**2 - 3*j. Calculate -9*m(o) + 2*t(o).\nAnswer: o**3 + 10*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15152 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 211211120122 (base 3) to base 8\nAnswer: 1555716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1080\/11 - 98. Suppose 3*z - 4 = -7. Which is the nearest to p? (a) -3\/2 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-6)*-1 + 2. Find the third derivative of y**3 + 34*y**x + 75*y**2 - 189*y**2 + 80*y**2 wrt y.\nAnswer: 816*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:49 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - -89 - (-1 + 0 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g)\/g*g)**(-25)*(g**0*g)**(-17) assuming g is positive.\nAnswer: g**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-12)\/(-9)) + 3. Suppose 10 + c = 5*v. Solve v = l - 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 50 = 3*d. Let m(w) = w + 13. Let y be m(d). Suppose 24*r - 10 = y*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047.8611 take away -0.3?\nAnswer: 1048.1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-497 - (-3 + -1))\/1. Let c = 3177 + y. Suppose c = 3*g - v, 2*g - 3*g - 5*v + 900 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.501062 and -17.\nAnswer: 8.518054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 69. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-75)\/6) + (-24)\/(-10). Suppose 4*m + z = 227, m + 2*m - 165 = z. Let k = m - 44. Solve 2*d - 7 = b, g*b + 2*b - 4*d + k = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2255 is divided by 496.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2583702 to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 6 + 2. Suppose 4*c + l*m - 4*m - 24 = 0, -5*c + 28 = -2*m. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyytt. What is prob of sequence yy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-11) + 34\/187. Let r be 9\/(54\/(-20)) + g. Is r equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.635 + -0.03. Let r = -1.118 + f. What is r rounded to 2 dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(700) + 1)**2*-1*6.\nAnswer: -25236 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008678 rounded to 5 dps?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*i - 1 + 1, 5*i = 4*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -119, -169, -207, -227, -223, -189, -119?\n\"Answer: u**3 - 3*u**2 - 54*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 4 + 2 - 2 + 1 - 2 + 5 - 4 + (-2 + 2 - 2)*(0 + 4 + 1) + 0 + 3 + 1)*((3 - 2 + 1)*(3 + y - 3) + 1 - 1 + y) in the form t + g*y and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43429 + -26612. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 63*t - 131. Determine j(4).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 747, 1312, 1997, 2796?\nAnswer: 3703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 535*o - 60. Let j be t(2). What is the greatest common factor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 25874*j + 5135991. Calculate n(197).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.02, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-10\/9)*m)**(-1\/2)\/(m*m*m*m*m**(-1\/4)*m*m**(2\/7)))**(-1\/4) assuming m is positive.\nAnswer: m**(1381\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -11 - (-3 - -2 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 4*a**2 + 3*a - 14. Let k be x(3). Let q(h) = -4*h + 7 + 7 - 16 + k*h**2. Let m(z) = 2*z**2 - 2*z - 1. What is 7*m(s) - 4*q(s)?\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, -22\/27, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2068.5 + -0.4.\nAnswer: 2068.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -1549, -3417, -6033?\nAnswer: -9397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3beccd (base 16) to base 6.\nAnswer: 220101405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-84)*35*(-12)\/(-660)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-108)*4*8\/(-128).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14321*m**6 - 2*m**5 - 30*m**2 - 286*m wrt m.\nAnswer: 1718520*m**3 - 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -137, -151, -169, -191, -217, -247, -281?\n\"Answer: -2*o**2 - 8*o - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 832448*v + 1892. Let t be j(-4). What is t rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (3 + -3 + 2)) + 67. Is k equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1236 * 2830\nAnswer: -3497880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -161130632 divided by 4\nAnswer: -40282658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110110221222 (base 3) to base 15\nAnswer: -4cbb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 3) to base 9\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.1 - -37. Which is the nearest to -0.2? (a) w (b) -1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtor when four letters picked without replacement from {i: 3, t: 4, r: 6, o: 1, q: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 16. Let y be m(-20). Suppose 4*q + 4 = 5*c + 2, -c + 3*q = y. Solve 4*a + 0 = 4*v - 4, 5*a + c*v - 30 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (345*x + 2021*x - 5 + 4 + 330*x)*(-1 - 1 + 3).\nAnswer: 2696*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -107. Let z be 2\/h - (-84)\/(-70). Put 5, -2, -0.16, z in ascending order.\nAnswer: -2, z, -0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/6)\/(h*h*h\/(h*h*(h*h**(-9))\/h)*h) assuming h is positive.\nAnswer: h**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-111780)\/(-54))\/46.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 8:27 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 676935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 5*j = 16*g + 336, 0 = -3*g - 3*j + 522. Sort 2, -1, g in decreasing order.\nAnswer: g, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 163532916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:21 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16 + -20)*3\/(-4). Suppose s*y - 38 = -4*l, 4*y - 2*l - 32 = 2*l. Let x(g) = -3*g + 1. Let w be x(-3). Is y less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(1 - 1 - 2*c**2)*(-14349 + 4766 - 9423).\nAnswer: 38012*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124177399.\nAnswer: 227, 547037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 60710*t**2 + 228849005*t + 275159691960.\nAnswer: 5*(t + 2987)**2*(t + 6168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.953155l to millilitres.\nAnswer: 8953.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(108)*-1 + sqrt(108))**2 + sqrt(108) - (5 + (sqrt(108)*1)**2).\nAnswer: -113 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 3*h + 39. Which is greater: -75\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16*4\/24*-3. Let h be ((-4)\/38)\/(j\/20). Let z = 259 - 259. Is h bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((5 - 5) + -8 - 1) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w + 7. Let d(n) = -33*n. Determine v(d(b)).\nAnswer: -231*b + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + x**2 + 0*x**2 + (-2*x - 2 + 2)*(2 - 2 + x))*(3*x**2 + 2 - 2).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/9 (b) 5 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.989 rounded to one decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/(-9))\/(1\/6*-9*5\/5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 71, 12\/5, 116?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 45 = 2*q. Suppose q = -5*a + 2399. Suppose 98 = d - 0*f + f, 0 = -5*d - 2*f + a. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 18.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 14*b**2 - 9. Let h be c(-13). What is h rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 11 = -12. Let m = n - 51. Let u = 69 + m. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0771 and -3?\nAnswer: 3.0771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - v**2 + 6 - 3.\nAnswer: -9*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (4*(sqrt(19) + 1))**2) + (1 + sqrt(19))**2*1 + sqrt(57)\/(sqrt(75) - (sqrt(75)*-1 - sqrt(75)) - sqrt(3)).\nAnswer: -300 - 405*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*y + 15476 = 335*y. What is the remainder when y is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*z + 7, -14 + 0 = 3*r + 2*z. Suppose 6*m - 6 = 9*m. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = 12*w - 14*w - 24, -4*w = 2*a - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2*r + 1. Suppose 4*d + 21 = -5*a, -4*d + 9*d + 4*a + 15 = 0. Let l(s) = -s**2 - 4*s + 1. Let j(c) = d*m(c) - l(c). Solve j(b) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*i**2*p**2 - g*i**2*p + 41*g*i*p**3 - g - 5*i**2*p**3 - p wrt p?\nAnswer: 246*g*i - 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45774 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2. Let i(o) = 5*o - 2*o + 283 - 271. What is i(s(v))?\nAnswer: 6*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1 + 11*a**2 - 1. Suppose -f = 0, 95 = 5*k - 4*k + 5*f. Let u(x) = k - 2*x - 95. What is c(u(p))?\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 5:22 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 0*i**2 + i**2)*(0*i**2 - i**2 - 6*i**2).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 13?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 524 + -505. Let r = b + -16. Determine q so that 0*q + 4\/9*q**r + 2\/9*q**4 + 2\/9*q**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/(l\/(l*l**(-12)*l))))\/(l\/(l*l**(-8\/9)*l*l)))**(-41\/5) assuming l is positive.\nAnswer: l**(-4469\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/37, 1\/2, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1916*b + 410*b - 5*b**2 + 1919*b + 3*b**2 to i*b + r*b**2 + d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37271 + -2?\nAnswer: 37267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1094849*n**4 + 2*n**3 - 1300847*n**2 wrt n?\nAnswer: -26276376*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 9*o**2 - 8*o - 2. Give w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 12:09 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrcrrmcbmr. What is prob of sequence mrb?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 71\/2 (c) -16 (d) -4 (e) 6\/77 (f) 0 (g) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*c + 23*c + 22*c)*(2 + 1 - 1 + 1 + 1 - 3 - 5 + 5 + 2 + (-1 - 4 + 3)*(0 + 2 - 1))*(1 + 0 - 2)*(0 + 0 - 4).\nAnswer: -52*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 39268 + 1080442403\nAnswer: 1080481671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g**2 - 37*g**2 + 17*g**2 - 3*g)*((0 + g + 0)*(0*g - 2*g + 3*g) + g**2 + g**2 - 4*g**2).\nAnswer: 4*g**4 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 380 + -345. Suppose g - p + 4 = 2*p, 5*p - k = -4*g. Let m be (14\/(-3))\/((-2)\/6). Solve 2*c - 2*h = -m, g*h - 23 = 2*c - 0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*g = -664*g - 12168 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -247433.981 to the nearest 1000.\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15a27 (base 15) to base 11\nAnswer: 48483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.083 + -1.083. What is the second biggest value in m, -3, 1\/3, -62?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from ppppzzpppppppppz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53529, -53528, -53527, -53526, -53525?\n\"Answer: p - 53530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005059 to 7 decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43695 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -22*h**2 - 242*h + 107 - 2\/3*h**3. Factor c(z).\nAnswer: -2*(z + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -0.31, -1\/8, 44, -45?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 7)*(-275 - 208 - 355)*(1 - k - 2*k + 4*k).\nAnswer: -4190*k - 4190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 65 + 4*s)*(-129*s + 1591 - 1591).\nAnswer: -516*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q - 20, -q = 3*d - 20. Suppose 5*r = 19 + 1. Let t = r + d. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4257878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3822237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -56\/5*c**2 + 148*c - 156\/5 = 0.\nAnswer: 3\/14, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 - 2*c - 6. Suppose 2*k = 3*o + 13, 5*o + k + 7 = -19. Let l be i(o). What is the greatest common divisor of 10 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 5*c**3\/3 - 9. Let r(i) be the second derivative of 0 + 0*i**2 - 1\/6*i**3 + 11*i. Calculate r(k(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**5\/80 - 5*m**4\/8 + m**2 - 47*m. Factor s(r).\nAnswer: 3*r*(r - 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*p + 4, 2*k - 4*k + 2*p - 2 = 0. Let s be 15 + -19 + (3 - -1). Solve k = t - s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*n - 480, 8 = 3*s + 2. What is the common denominator of 10\/(-50) - n\/20 and 1\/4 + (-67)\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148654208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 75.5. Which is the closest to 2\/7? (a) -0.3 (b) q (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 327 by -3.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*5*(1 + sqrt(300))*-5)**2 - (((sqrt(432) - -2*sqrt(432))*-2*-5)**2 + -4)).\nAnswer: 150000*sqrt(3) + 1091112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -2, -68, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 2)*(v - 3*v - 4*v)*(-3*v + 5*v + 14*v) to the form k*v**2 + a + p*v and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109247021 rounded to 5 decimal places?\nAnswer: 0.10925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -705735 - -3722019\/5. Let j = g - 38838. Let z = j + 170. Put -4, -3\/5, z in decreasing order.\nAnswer: z, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a8949 (base 15) to base 6\nAnswer: 325223453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5017038686 to the nearest integer?\nAnswer: 70831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 58 times -3.5\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by 21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0031101 - 0.0032. What is v rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 - -223. Suppose -z + 7*n + 209 = u*n, -2*n + 746 = 4*z. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**5 - 39*m**4 - 37*m**3 + 5*m**2 - 5*m. Let a(i) = -4*i**5 + 60*i**4 + 56*i**3 - 8*i**2 + 8*i. Let w(u) = -5*a(u) - 8*z(u). Factor w(c).\nAnswer: -4*c**3*(c - 4)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11 - 2*c + 6*c + 11 - 19. Let s(z) = -2*z - 1. Determine 2*l(f) + 5*s(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 48.3. Let k = r + 50. Which is the closest to 1\/4? (a) 5 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128\/3536 - (-2)\/17\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36256 is divided by 8883.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40343617 divided by -1?\nAnswer: -40343617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from {c: 3, z: 2, f: 5}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**4 + 5*n**3 - n. Let i(g) = 11*g**4 - 8*g**3 + 2*g. Let v(t) = -8*d(t) - 5*i(t). Find the second derivative of v(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1214238*p**2 + 1383*p + 227.\nAnswer: -2428476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 - 4*w**2 + 2*w + 235*w**2.\nAnswer: 246*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 97823, 782616, 2641343, 6260972, 12228471?\n\"Answer: 97828*r**3 - r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(125) + 2*sqrt(125) + -3) - (sqrt(100)\/(sqrt(50)\/sqrt(5)) + sqrt(10))\/(sqrt(800) - sqrt(50)).\nAnswer: -12 + 898*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*c - 119, o + 1 = 3*c + 2. Put 176, -3, o in decreasing order.\nAnswer: 176, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*1\/(20\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l - 5 + 0 - 5*l + 5.\nAnswer: -35*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16132 - -10281. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -376379000 to the nearest one million.\nAnswer: -376000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*q = 23, 4*r + 11 = 7*r + 5*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 112 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4200 and -73\/23100?\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 464*i - 40421. Give k(74).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 + -307. Let a(r) = 589*r**2 - 4*r + 6. What is the hundreds digit of a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and 2687060?\nAnswer: 618023.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3*a + 21, 4*a = 4*z - 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 12:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) -2 (c) 1\/4 (d) 10 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -15*z**3 - z**2 - z. Let y be a(-1). Let d = 1017 + -1012. Suppose -3*u = 2*c + 3, -4*c - 3 = 3*u - 0*u. Solve -d*i + 2*i - y = c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -4\/7 (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490513.8 litres to millilitres.\nAnswer: 490513800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, x: 1, d: 5, n: 1, t: 3}. Give prob of picking 1 m and 2 t.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693712566?\nAnswer: 2, 1481, 1584643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 9*c - 5. Let q(w) = w. Let n(d) = -b(d) + 6*q(d). Is n(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69547 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17)*j*j**(2\/9))\/(j\/(j**(-1)\/j*j)*j*j**4)*((j**5\/j*j)\/j**(2\/11))\/(j*j\/(j**1\/j))**(-13) assuming j is positive.\nAnswer: j**(42341\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 2*h - 4*h - 43*h**2.\nAnswer: -43*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 536*g + 120 = 533*g, 3*g + 9 = 0. Solve n*l + 7 = 38*l - v, l + 2*v + 5 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -14*z + 12996. Let w(i) = -z + i**2 + 684. Let k(h) = -17*h - 4. Determine w(k(s)).\nAnswer: 289*s**2 + 136*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a hour in minutes?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -2, 5 in ascending order.\nAnswer: -139, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/15*4\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:37 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-29)*(k*k\/(k\/(k**(1\/4)\/k*k))*k)**(-11) assuming k is positive.\nAnswer: k**(-215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/8 + 3\/(-12). Let m(x) = -x**2 - 9*x + 15. What are the prime factors of m(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.244 * -0.05.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1438 < -4316\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 13*d**2 - d + 8. What is z(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 8*d = 43776. Suppose -4*a = 4*c - d, 0 = 3*c + 8*a - 13*a - 2736. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**8\/2240 + q**7\/280 + q**6\/120 - 15*q**3\/2 - 3*q**2 + 14. Let h(m) be the first derivative of c(m). Factor h(s).\nAnswer: 3*s**2*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2293.9 - -2294. Let x = 49 - 49.51. Let q = x - -24.51. Do q and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32185 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/60 - 7*f**4\/24 - f**3 + 40*f**2. Let m = 2 + -7. Give y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**5 - 23*j + 31*j + 5 - 10*j**5 - 7*j**3 - 2. Let q(a) = 17*a**5 - 2*a**4 + 27*a**3 - 31*a - 11. Let h(m) = 6*q(m) + 26*z(m). Solve h(c) = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 42*x - 384. Let b be q(28). Put -2, -84, b in decreasing order.\nAnswer: b, -2, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 3*i = -14*s - 10, -4*s = -5*i - 6. Solve 10 = 2*z - 2*k - 2*k, -z = -k - s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 588 and 428736?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - d**2 + d**2 + (-18 + 17*d + 18)*(-4*d + 22 - 22) - 3*d + 3*d + 3*d**2.\nAnswer: -67*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, z: 12}. What is prob of picking 1 z and 3 j?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67949 is divided by 151.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 127. Let c(f) = f - 25. What is -33*c(j) - 6*w(j)?\nAnswer: -3*j + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:41 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 4552994838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 + 43. Is 2775\/20 - -2*k\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**4\/4 + 10*m**3\/3 - 11*m**2\/2 + 9*m + 3. Calculate n(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2529 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/1221 - ((-60972)\/(-5550) - 11)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -112?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16644\/31 + 537. Which is the third biggest value? (a) g (b) 2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let w = -136 - -135. Is (-154)\/w*c\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15155488 divided by 4?\nAnswer: -3788872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -11. Suppose 3*n = s*n - 93. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 918 = 19*q - 4*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcxccczx. Give prob of sequence wcz.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2)*2)**2 + -3*(sqrt(2) + -2*sqrt(2) + sqrt(2)) + -5.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8941, 35535, 79805, 141769, 221445, 318851?\nAnswer: 434005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 12*m - 3. What is the tens digit of y(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - p = 5861, v = -22*p + 20*p - 1467. Let h = v - -2230. List the prime factors of h.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 25*x**7\/28 + 19*x**6\/24 + x**5\/20 - x**4\/12 - 4*x + 3. Factor k(s).\nAnswer: s**2*(5*s + 2)**2*(6*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f + 4. What is the least common multiple of (-4 - -1)\/(-3)*5 and (f\/(-2))\/(2 - 9\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**6)\/(h\/(h*h\/(h\/h**(5\/2))*h)*h))\/((h*h\/(h\/(h*h*h**(-2\/5)))*h)\/h**(-7\/3)) assuming h is positive.\nAnswer: h**(107\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.6. Let m = 5\/8 - 59\/120. Let p = 1 - 0. What is the third smallest value in p, m, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (71\/(-852))\/(1\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 5773?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/765 + 18821\/1530. Let y be ((-2)\/6)\/(2\/(-36)). Find the common denominator of 44\/y*9\/(-48) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydg when three letters picked without replacement from yvyggxrd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 16 = -0*f. Suppose -2*t - f = -32. Suppose -5*g + 17 = 2. Calculate the lowest common multiple of t and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)\/sqrt(9) + (sqrt(2240)\/sqrt(7) - sqrt(5)))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4018122 rounded to 4 dps?\nAnswer: 0.4018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2189\/2, -5, -0.2, 0.1, -1\/24.\nAnswer: -2189\/2, -5, -0.2, -1\/24, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 7*b. Let h be t(7). Suppose -d + 3 = -h. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -862*y - 2543. Let b be f(-5). Calculate the greatest common divisor of 171 and b.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111010 (base 2) in base 5?\nAnswer: 20323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 86 = 9*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -197 - -383. Suppose 411 = m - 3*r, f = 4*m - r - 1491. Round m to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 10) to base 12\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 32*a**2 + 28*a - 4. Calculate n(-31).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14164718333 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363)*2 - (sqrt(3) - sqrt(3)*1*5))*5 - sqrt(576)\/(sqrt(432)*-3 - sqrt(12))) + 0)**2.\nAnswer: 18362028\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552830 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:30 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - u + 628, -13 + 132 = d - 2*u. Suppose q - d = -4*y, -4*q - 11 - 1 = 0. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*z - 554 = 448 - 57. Let l(p) = -p**3 + 8*p**2 + 5*p + 17. Give l(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 34. Put -4, -2\/9, 4, q in descending order.\nAnswer: 4, q, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1455, 1, -17346 in descending order.\nAnswer: 1455, 1, -17346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561 by 62.\nAnswer: 561\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3 (b) 0 (c) 2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 56450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j. Suppose -5*q - 2*g + 13 = j, 2*q = -q - g + 8. Let a(w) = 3*w - 3. Let v be a(3). Solve -3 - v = q*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 867 - 868. Which is the nearest to -1\/4? (a) 300 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 233, 456, 673, 884, 1089?\n\"Answer: -3*a**2 + 232*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -344, 2 in descending order.\nAnswer: 2, -3, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -7)*360\/(-144) - (-8)\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248798 + 871202. What is x rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 11*i - 10*i = -5*i + 17*i - 2*m - 80, 4*m = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83029.19 millilitres in litres?\nAnswer: 83.02919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 20876\/(-102))\/((-1)\/(-12))?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 88 = -19*l - 363 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 131*p + 3487. Give y(-40).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8565*a + 8. Is i(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 157. Let m = r + -130.52. Let l = -0.12 - m. Round l to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 27*z**3 + 4*z - 3. Suppose 4*l = -3*i + 4 + 3, 0 = -l + 4*i - 3. Let v be o(l). Solve -5*g + 0*g + v = -c, -4*g - c = -17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*((sqrt(98)*1 + -3)*5 - (-5 + sqrt(98) + -2 - (sqrt(98)*-1 + 4))))**2.\nAnswer: -54432*sqrt(2) + 290952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f + 1. Let c(d) = d**3 + 17*d**2 - 29*d - 4. Let s(k) = -c(k) + 2*y(k). What is the tens digit of s(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.01 - -5. Do 0.2 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597274.8km to millimeters.\nAnswer: 597274800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 3280.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by (1 - (-56)\/24)*12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -564*l*p*r**2 - 2*l*p + 10*p*r**2 - 49*p - 1 wrt l?\nAnswer: -564*p*r**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50 + 120?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 13*w**2 + 13*w + 14. Let d be z(14). Suppose -14*o + 11*o + 351 = d. Let m = -56 + o. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -38. What is the common denominator of -1 + ((-151)\/12 - (-15)\/15) and ((-134)\/g)\/(26\/(-5))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -121, 7, 197, 455, 787, 1199?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 + 10*h - 8 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430579 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 219646186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4 = -2*m, 107*m - 102*m = -5*a + 30 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -10*q - 8. Let p(d) = 26*d + 20. Let k(g) = -12*i(g) - 5*p(g). Determine k(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 3*u**2 + 7*u - 11. Let r be c(-5). Suppose 9 = r*d + 9. Solve t + 3*t = d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.982757 to zero decimal places.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 9*j = -150. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26132, 52239, 78344, 104447, 130548, 156647?\n\"Answer: -t**2 + 26110*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.108647ml?\nAnswer: 0.001108647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -1\/50*a**5 - a + 0*a**2 - 1\/10*a**4 + 0 - 2\/15*a**3. Factor f(z).\nAnswer: -2*z*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13ca0c6 - -42?\nAnswer: 13ca128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -66\/5, 0.2, -3\/463 in decreasing order.\nAnswer: 0.2, -3\/463, -66\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 3*n + 2. Let y be r(-4). Let a be (16\/(-6))\/((-2)\/3). Sort y, -3, a.\nAnswer: -3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12988798)\/(-11) + 16\/88. Suppose -15*l - 3*l = r. What is l rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -16. Let x(u) = -u + 14. List the prime factors of x(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -10. Let i be (2 - q)\/((-1)\/(-13)). Suppose -181 = -4*k - 5*d, 3*k = -2*d + 154 - i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - h**2 - h**3 - 4 - 4 - 369*h + 339*h + 9 to l*h**2 + c + w*h + o*h**3 and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 5:51 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216168155?\nAnswer: 5, 7, 163, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3249, 3248, 3247, 3246, 3245?\n\"Answer: -h + 3250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 312? (a) 1 (b) 0.4 (c) 0.05 (d) -2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*a - 4 + (a + a - 4*a)*(1 + 0 + 2) - 13*a - 12*a + 10*a + (-1 + 1 - 1)*(-2*a + 3*a - 2*a).\nAnswer: -23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**3 - 3*h**2 + 4. Let w be x(-2). Suppose -4*n - c + w = c, 16 = -4*c. Suppose -n*p - 517 = -23*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -844747775 take away 0.2?\nAnswer: -844747775.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - 5 + 5 + (-38 - 10*t + 38)*(-t - t + t) + 2*t**2 - t**2 - 3*t**2 to h*t + r + m*t**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 991 - 1691 = 0. Let i = 3188 + a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 10 = -2. Let v be a - (2109 + (-4)\/(-2)). What is the common denominator of 7\/49*v\/(-36) and 29\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngs when three letters picked without replacement from ghghgnsghnhsngg.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(85)*-3)\/sqrt(5)*6.\nAnswer: -18*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-4)\/(-4)*2\/(-12)). Suppose -4 = -l + 2*l - 5*v, 3*v - c = l. Sort 4, 3, -2, l in ascending order.\nAnswer: l, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 22. Suppose 2*p - w = 3*n - 31, -4*p = -3*n + 28. What is the second derivative of 384*l + 4*l**4 - 362*l - 20*l**n wrt l?\nAnswer: -192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -102. Suppose -2*j + c + 6 = 0, d*c = 5*j + 5 - 25. What is the second derivative of -163*k**j + 195*k**2 + 4*k + 2*k wrt k?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -8*b - 0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + v**3 + 2 + 3*v**3 + 0*v**3.\nAnswer: 4*v**3 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + g**4 + 0*g + 58*g**4)*(2 - 4 + 0) to m*g + w*g**3 + n*g**4 + i + b*g**2 and give n.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 2*s**3 + 5*s)*(5*s**2 - 37 + 37) + (6*s**3 - 3*s**3 + 0*s**3)*(-s - 2*s**2 + s).\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 19*z**2 - 19*z + 319. Let x be l(-16). Calculate the highest common factor of 299 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17296818 divided by 7746\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 5:18 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 (base 5) in base 7?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 496187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 9 + 12 + 2*b + 2*b**2 + 2*b. Let c(j) = -7*j**2 - 9*j - 6. What is -2*c(d) - 5*h(d)?\nAnswer: -d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35718 and 19.\nAnswer: -678642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 2*z**3\/3 + 20. Let d(q) be the second derivative of -10*q**3\/3 - 80*q - 1. Calculate b(d(h)).\nAnswer: 800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Let m be 5*1\/20*-1. Let v = 11\/12 + m. Which is the closest to v? (a) 1\/5 (b) -1\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -69084, -138165, -207246, -276327, -345408, -414489?\n\"Answer: -69081*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3485 and 105046264.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -11. Suppose -u = -4*l + l - 2*q, 15 = 3*l - q. What is the second derivative of -2*a**4 + 0*a**l + a**4 + 3*a wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8344 is divided by 1384?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 3:51 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 552 = 4*f, -5*p = -10*p + 3*f - 891. Which is bigger: p or -1250\/7?\nAnswer: -1250\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3027 = -19*z + 19336. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159 - (-57 + -132 + 88)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036221127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose 1 = 5*j + 2*g - 6, 3*j - 4*g = -1. Solve 0 = -p*l - j - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in -2888, -0.4, -2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuluuuxttkuukjtt. Give prob of sequence jkl.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064785 a multiple of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 766903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-45) - 3507\/(-315)) + -31*26\/78?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1231, -1066, -725, -154, 701?\n\"Answer: 9*p**3 + 34*p**2 - 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 2. Let w = -175 - -172. Calculate q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13028742 to the nearest integer?\nAnswer: 3610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495337895.\nAnswer: 5, 13, 1871, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 128*q**2 - 393*q + 18. Let j be v(-131). Solve -3*i = -126*u + 123*u + j, -4*i = 2*u + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1961222 and 17612.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135651 is divided by 1202.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 0*z - z + (-5 - 2 + 5)*(-1 - z + 1) + 4*z - 3*z + 2*z + (0*z + 2*z - 3*z)*(4 - 1 - 4) to the form d*z + r and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 211497?\nAnswer: 422994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(833)*-4)**2 + -4.\nAnswer: 13324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from 13.\nAnswer: 12.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p**(2\/11))**(-1\/4) assuming p is positive.\nAnswer: p**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898 = -270*m + 124*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -9*q - 10. Factor -g + 5*g**q + 52*g - 21*g + 20*g**3 - 55*g**2.\nAnswer: 5*g*(g - 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.9 - 19. Let a be (-4)\/(-126)*(-6 - -165). Let w = a + -16\/3. Is w equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 266565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u. Let s = -5037 + 7582. Let a(f) = -s*f**2 + 1303*f**2 + 1346*f**2. Calculate a(x(n)).\nAnswer: 416*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 - 2.4. What is the smallest value in -2\/5, 1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -5. Let h be 4\/2 + (y - -6). Suppose -449 = -h*w - 84. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -743 in 5, -1\/10, 12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12241849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/21 + (-1)\/(6\/(-980)). Suppose -3*y - y = -m. What is the remainder when y is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**2 - 3 + 18*l**2 - 62*l**2 + 52*l**2 + 79*l**2.\nAnswer: 117*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2921 and 107\/762.\nAnswer: 17526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 3*w + 1. Let v be j(-1). Suppose 28 = 50*h - 36*h. Solve l + h*x + 0 = -12, 2*x = -v*l - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (2 - -11) + 0 + -1 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a6 (base 12) to base 8.\nAnswer: -5236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*z = 6*z - 3600, -4*f + 2880 = 3*z. Calculate the common denominator of (10\/(f\/(-104)))\/((-8)\/(-21)) and (87\/(-10))\/((-36)\/(-50)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 0, 24, -5, 2.\nAnswer: -5, -3, 0, 2, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 236379\/2 + -121025. Let l = 2781 + a. Let r = l - -58. Calculate the common denominator of -38\/3 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/4*8\/(-2). Let q = -37 - -37.4. What is the smallest value in -2\/5, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*o - 15. Let n(d) = 4*d**2 + 2*d - 2. Is n(o) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/20*1*-5. Let v = r + -24. Let q = v + 34. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 280 = -3*p - 15*x, -3*p = -5*x - 268. What is the highest common divisor of p and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-6)\/(-24))\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5423\/15 - 2171\/6. Which is the fourth biggest value? (a) 5 (b) -4\/5 (c) j (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220705 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5*i - 6*b**5 + 3345*b**3*i + 2*b**2*i + b**2 + b + 11162*i wrt b.\nAnswer: 60*b**2*i - 360*b**2 + 20070*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -115?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Let w = -331 + 68. Let i = 262.6 + w. Which is the nearest to 1\/3? (a) i (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4657, 18636, 41935, 74554, 116493, 167752?\nAnswer: 228331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 - q + 4. Let z be b(0). Solve 0 = -5*u + 2*k + 19, 14 = 5*u - 5*k + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*n - 479880 = -480122 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*o - 4101*o = 78217 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x - 2. What is n(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -1019850?\nAnswer: -1019855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 25. Let r = -43 + f. Let i = -9 + -2. Are r and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (5 + -30) - 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 537, 295, 29, -273, -623?\n\"Answer: -2*b**3 - 228*b + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1792)\/336 - (-387)\/27.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.13, -0.1, -1\/72, 2.069?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -91, -272, -633, -1234, -2135, -3396, -5077?\n\"Answer: -10*c**3 + 9*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.3 minus 31?\nAnswer: -53.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = s + 2*s - 16, 0 = 4*s - 4*c - 24. Suppose -6*x - 22 = -s*x. What is the units digit of (x\/4 - -2) + (-892)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 28082*u. Let l(k) = -4020*k**2. Calculate g(l(n)).\nAnswer: -112889640*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-36)*-12)\/2*((-6500)\/546)\/25?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -749.97.\nAnswer: 674.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3781*s**2 - 4039*s**2 + 12167*s**2 - 4049*s**2 - 4*s.\nAnswer: 298*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80491868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k**5 + 8*k**4 - 288*k**3 + 576*k**2 - 64*k - 384 = 0. Calculate k.\nAnswer: -6, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 40*x. Let b(h) = -4*h**2 + 15*h**2 + 10*h**2 - 24*h**2. Give q(b(f)).\nAnswer: -18*f**4 - 120*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 - 83*h + 309*h + 61)*(h**2 - 2*h**2 - h**2) in the form t*h**2 + o*h**3 + f*h + i and give o.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 9*w - 2. Let f = -6 - -12. Let b be c(f). Let r(d) = -3*d + 2*d + 13*d**2 - b*d**2. Give r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7370\/201*(-6)\/15. Which is smaller: h or 16?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -1766993?\nAnswer: 1766996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 44. Let q be r(-13). Suppose -4*x = -q*x + 432. Calculate the highest common factor of 88 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -495502, -495503, -495504, -495505, -495506, -495507?\n\"Answer: -o - 495501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6544060 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697621.\nAnswer: 43, 107, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25391.53950056 + -25374.5395. Let l = -16.5 + -0.5. Let m = l + q. Round m to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5 + 1608*w**4 - 143708*w**3 + 2862168*w**2 + 28965454*w - 31685520 = 0.\nAnswer: -8, 1, 53, 705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 - 6*w - 3. Let v = 58 - 123. Let y = -69 - v. What is b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -928, 16, -42 in decreasing order.\nAnswer: 16, -6, -42, -928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74209998 by 24736666.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 + b**3 - 4*b**3 + b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-4125)*(-280)\/112\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21997291 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than 66\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 25*c**2 + 99. Let n be j(25). Let g = -103 + n. Sort -3, g, -5, -39.\nAnswer: -39, -5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87835 is divided by 992.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/839, -0.5, -0.4, 0.4 in decreasing order.\nAnswer: 4, 0.4, 2\/839, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2069724*k**4 + 1543*k - 609?\nAnswer: 24836688*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04158 and 0.019.\nAnswer: -0.00079002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 5:34 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1554 - -128. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0398 + -3.9602. Let w = -0.57 + 0.27. Let l = 7 - 6.7. Which is the third biggest value? (a) w (b) f (c) l (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -636 + 1086. Calculate the lowest common multiple of c and 54.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, 5, -193, 2, 12, -3.\nAnswer: -193, -3, 2, 5, 12, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 16\/4 + -538. Let a = 48 - b. Is (a\/6)\/(5\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, r: 1, h: 11}. What is prob of sequence rhbb?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 385776516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*v - 19 = 0, -3*n + 3*v = n - 47. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/10)\/(168\/(-245)). Let d = b + 95\/144. Sort -2, 18, d in decreasing order.\nAnswer: 18, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*g - 18, 4*g + 1489 = 5*x + 1518 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/(-206) + 7*1\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7.7. Let v = 0.0435 - 0.1335. Put 0.4, p, v in increasing order.\nAnswer: p, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 44352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 260652 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*y**2 + 2 - 24*y**2.\nAnswer: -31*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwgwnwwwnwnwnnwwwvv. What is prob of sequence ngnw?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-696)\/(-435))\/(4\/(-10)). Let l(a) = a + 6. Let u be l(6). Let j be (1 + r)\/(u\/(-64)). Solve 3*n = -4*q + 14 - 3, q = 3*n - j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5546*k = 5*i - 5545*k - 15, 0 = -3*i - 4*k + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -81, -165, -273?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 14. Solve 5*g - u*g = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/3 - 2\/3. Suppose -3*c + 4 = -2. What is the highest common factor of c and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 44\/5 of a meter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -17) + 7 + (-8)\/(-18)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 4*h**3 - h**2 + 6*h**3)*(4*h - h + 3*h).\nAnswer: -6*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 + 1186 - 26*c**2 - 1186 + 2*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27433814?\nAnswer: 2, 317, 43271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 66888*k**3 + 2*k**2 - 6*k - 8. Let v be l(4). Suppose 4*u = -v + 89480832. What is u rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 1058824*y\/7 - 140138532872\/7.\nAnswer: -2*(y + 264706)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 9 - 33. Let n = o + -6. Solve -3*q = -n*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3.9252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2107*t - 4204. Calculate g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 352 (base 15) to base 16\nAnswer: 2f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 + (-10)\/24. Let n(h) = 2*h**2 + h - h**3 + 6 - 3*h**2 - 2 - 2*h**2. Let x be n(-3). What is the nearest to x in w, 4, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 2*o + 12. Let f be 7 - 4*12\/16. Let u be q(f). Suppose 4*g + 398 + 46 = 4*s, 434 = u*s + g. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-90)*405\/378?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 377232868 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y. Suppose -n + 19 = -5*l, 5*l = 7*n - 9*n + 83. Let u = -35 + n. Determine v(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5836642323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:21 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35721 + -63737. Let d = y - -14753. Let t = d - -212119\/16. Find the common denominator of t and -119\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 5*u**4\/24 + 13*u**3\/3 + 312*u**2. Determine s(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (4 - 6 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/192*(-1400)\/(-2625).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8697, -17393, -26089, -34785, -43481?\n\"Answer: -8696*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:35 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7634, -15264, -22894?\nAnswer: -30524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2591384 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**4 - 368*p**2 - 215 + 368*p**2 - 2*p**3 + 5*p**4 as l*p**2 + f*p**3 + d*p + u + t*p**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from {v: 8, s: 5, x: 5}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (1 + 1 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*305.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 10*y + 7*y + 3*y + 13*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(0*g**3 - g**3 + 7*g**3) + (2 - g - 2)*(-2*g + g**2 + 2*g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 2*a**2 - 15*a + 5. Let h be k(-5). Let i be (5\/2)\/((-2)\/4). Put 2, i, h in increasing order.\nAnswer: i, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**3 + 2*r**2 + 25. Let y(q) = -23*q**3 - 6*q**2 - q - 77. Calculate 7*u(p) + 2*y(p).\nAnswer: 3*p**3 + 2*p**2 - 2*p + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/63)\/(-10))\/(4\/6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, x: 1, p: 3, f: 2, u: 3, a: 1}. What is prob of sequence pfa?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 121, 334, 745, 1420, 2425, 3826?\nAnswer: 5689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s. Suppose 2*m - 581 - 51 = s. Is ((-4)\/8)\/((-2)\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8680 and 89\/12579056.\nAnswer: 62895280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 u when three letters picked without replacement from ufxfdxbbibixfddbx.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 - 3. Let u(z) = 16*z**2 - 10. Let h(x) = 10*o(x) - 3*u(x). What is the remainder when 2\/(-9) + 272\/9 is divided by h(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 + 5.6. Let k = -3.8 + j. What is the closest to -0.1 in 0.5, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2761?\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.1. Let d(v) = 2*v**2 + 4*v - 7. Let z be d(6). Let x = z + -269\/3. Sort -0.5, t, x in descending order.\nAnswer: t, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-6 - -3 - -26) + -40 - 9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000001 (base 2) to base 8.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 - 5*l + 3. Let u be i(0). Let m(c) be the second derivative of 3\/2*c**2 + 0 - 7*c + 1\/6*c**4 + c**u. Calculate m(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79 and 11.589.\nAnswer: 90.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 778767, 1557628, 2336489, 3115350?\nAnswer: 3894211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*p = -2*p + 12, -4*h - 3*p - 17 = 0. Let k = -4 - h. Suppose -k = 5*d - 19. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30006 - -30138. What is the least common multiple of q and 3509?\nAnswer: 42108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5650478 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k. Let d be v(1). Suppose -d*w - 208 = -589. Suppose 0 = -0*b - b + w. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3577 - 3575. Sort -14, d, 79 in increasing order.\nAnswer: -14, d, 79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 177\/(-57) - (-59)\/19. Solve 0 = -5*w - 0 - 5, -5*a - 23 = u*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4794*q - 50 = -4804*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 17*o + 37. Give u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/228240 and -101\/3157320.\nAnswer: 18943920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(11\/4)\/(w*(w*w**(1\/3)*w)\/w))\/(w**(-14))**(-6\/5) assuming w is positive.\nAnswer: w**(-983\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2298*w**2 - 16*w - 8. Let z(f) = -6*f**2 + 2*f + 1. Calculate y(j) + 9*z(j).\nAnswer: 2244*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/10 + -3)\/1. Is c equal to 0.046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5981.99 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let h(r) = -r**2 + 215*r - 2964. What is the smallest common multiple of l and h(15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 2. Let c be x(4). Suppose 4*f - 6 + c = 0. Calculate the lowest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 19*f + 9. Let g be d(-1). Let v be (g\/(-5) + 5)*1. Solve 8 = -9*p + v*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from {j: 6, n: 1, l: 4}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8. Let p(k) = k - 18. Let m(h) = -7*l(h) - 3*p(h). Let u be m(-1). Which is the fourth biggest value? (a) -0.51 (b) -2 (c) u (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 9:06 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -849, -3341, -8389, -16893, -29753?\nAnswer: -47869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 727172 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/35))\/(m**5*m) assuming m is positive.\nAnswer: m**(-177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrx when three letters picked without replacement from {r: 5, x: 15}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojoa. What is prob of sequence ooaj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -2, 3, -1215 in descending order.\nAnswer: 3, 0, -2, -5, -1215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.1, 5, 476, 2 in increasing order.\nAnswer: 0, 1.1, 2, 5, 476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 - 9348*v**4 + 3136200*v**3 - 12432496*v**2 + 12395040*v = 0. What is v?\nAnswer: -2635, 0, 2, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13608, -13607, -13606, -13605, -13604, -13603?\nAnswer: -13602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043028 to four decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (252\/(-90))\/7*(-3 - 8\/(-6)). What is s in 0 + 5*s**3 - z*s + 7\/6*s**2 + 2\/3*s**5 + 23\/6*s**4 = 0?\nAnswer: -4, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 10:24 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276445878 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/9 + 50*f**4 + 10432*f**3\/9 + 87808*f**2\/9 + 94208*f\/3 + 204800\/9 = 0.\nAnswer: -200, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 8385.\nAnswer: 8385.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573808079*t + 2100 = 573808100*t for t.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10115, 42111, 95943, 171611, 269115, 388455, 529631?\nAnswer: 692643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*r + 5, r = -2*l + 2*r + 9. Suppose -l*o - 2*o - 2 = -3*v, 4*v + o = -10. Let f(i) = -2*i. Let q be f(v). Solve q*k + 5 = 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8609272?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 y when four letters picked without replacement from {y: 5, m: 11}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.943 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38104 + -113164\/3. Let h = f - 388. Calculate the common denominator of 7\/9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.3, 1\/4, -497, -5, -25, 32?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (971 - 953) + 2 + -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) -1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-1)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217033 to the nearest one thousand.\nAnswer: 217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5)\/b)**(-2\/15)*(b**1*b)**(-3\/17))\/((b*(((b\/b**(2\/5))\/b)\/b)\/b)**(17\/5)*(b**(-1))**(-42)) assuming b is positive.\nAnswer: b**(-15943\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 divided by 4.\nAnswer: -259\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, n: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -6*c + 18 + 2 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(((y**(-1\/7)*y)\/y)\/y)\/y)\/y)**(-15)*(y*y**(-1\/7)*y)\/(y*y**(7\/3)) assuming y is positive.\nAnswer: y**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21234992 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147145438.\nAnswer: 2, 11, 17, 47, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8295 is divided by 274.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 2*z**3 + 0*z**3)*(-2 - 4 + 2) - 19*z**3 + 14*z - 14*z.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/55664 and 57\/18328.\nAnswer: 127526224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 725.9 in 3\/4, 0.3, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**1)**(-10)*((w*w**(2\/5))\/w)**(-36)*((w**5*w)\/w**(-1))**(-18) assuming w is positive.\nAnswer: w**(-702\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -377, -768, -1159, -1550, -1941?\n\"Answer: -391*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t - 18*t**2 + 3*t + 19 + 26*t**3 - 15 - 15*t**4 + 5*t**4 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120567*w**3*x**3*y - 7*w**3*x + 128*w**2*x**2*y + 62*w**2*x**2 - w**2*x + 2*w*x**2 - w*x*y + x**3*y wrt x?\nAnswer: -723402*w**3*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 193355 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: Which is smaller: -1358 or -1353?\nAnswer: -1358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 1092727*c**4\/11 + 34436814*c**3 - 508832772*c**2\/11 + 227440376*c\/11 - 33872928\/11 = 0?\nAnswer: -348, 46\/103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 169*v - 374. Determine x(0).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -29*d**5\/20 + 25*d**4\/12 + 38*d. Find the third derivative of n(b) wrt b.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*i + 31*i + 24*i - 297*i - 23736 = 0 for i.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let c be (-4)\/6*3*-2. Suppose c*f - 11 = -3*l - 2, 5*l = 2*f + 15. Let o(b) = -2*b + f*b + 3*b. What is x(o(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:31 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 5*w + 4. Suppose 8*j - 6 = 6*j. Suppose -12*x = -9*x - 81. Suppose j*n = -3*p + x, -n = 2*p - 8 - 5. Give y(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-36)\/8262*-68.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -159833954884 take away -101?\nAnswer: -159833954783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88762338 a multiple of 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) + 7\/9. Let b(z) = z**2 + 12*z - 1. Let k be b(-12). Let l = k + x. Solve 3 = y - l*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36361 and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631333 divided by -47?\nAnswer: -98539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12788000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + ((-16)\/28)\/(6\/(-21)). What is the nearest to 66 in -0.1, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + u**2 + u - 4. Let t(k) = -8*k**3 + 16*k**2 + 44*k - 16. Let p(c) = -4*j(c) + t(c). Find q, given that p(q) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 + 156 - 61)*(3*t - 5*t + 3*t) + t + 4 - 4 + t - 4*t - 6*t in the form k*t + n and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) 1 (c) 2\/3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 206 - 208. Let t(j) = -3*j + 4. Let r(u) be the second derivative of 2*u**3\/3 - 5*u**2\/2 - 2*u. Give z*r(w) - 3*t(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 9, 41, 105, 213, 377, 609?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 8. Let l = 13 + -7. Let x be a(l). Solve 0 = -5*p, 2*r + 0*r - 6 = x*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 25*u - 12*u + 24*u to i + h*u and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2125222.\nAnswer: 2, 11, 96601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -485*f**2 - 1068*f + 775. What is the first derivative of u(o) wrt o?\nAnswer: -970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 72306.\nAnswer: 506142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*c*t**2 + 765*c*t + c - 396845*t**2 + 583*t wrt t.\nAnswer: -18*c - 793690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 + 3*c + 13. Let r = -42 + 38. What are the prime factors of u(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 16) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*w = -35, -3*w = 4*m - 0*w - 25. Determine o, given that -9*o + m*o**3 - 5*o**2 - 2*o + o + 5*o**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:27 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*z - 217 - 275 = 6*z + 411 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1722800 to the nearest 10000.\nAnswer: 1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2990 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 1\/6*z**3 - 1\/6*z**2 + 4*z - 1\/12*z**4 + 1\/60*z**5 + 0. Factor u(c).\nAnswer: (c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 182\/(-140) - (-2)\/4. Let u be (1 + (-1940)\/(-16))*(-2)\/9. Let w = u - -27. Which is the second biggest value? (a) l (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + ((-10336)\/57)\/(-17)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 14*p + 47. Let g(r) = r**3 + 7*r**2 + 6*r + 3. Let u be g(-6). Sort u, p, 5 in ascending order.\nAnswer: p, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*(((x**(11\/5)*x)\/x)\/x)\/x*x**5\/x assuming x is positive.\nAnswer: x**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -75182 + -0.3?\nAnswer: -75182.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-512)\/288)\/4)\/((2\/(-12))\/((-87)\/(-1972)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3096)\/648 + -1 + (-6)\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/40 + (72\/(-40))\/9. Suppose -3*n = 5 + 1. What is the closest to 12 in l, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)\/s**6*(s*s*s*(s\/(s\/s**10))\/s*s*s)\/(s*s*s**(-8)))**(11\/8) assuming s is positive.\nAnswer: s**(1067\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 848 - 224. What is the least common multiple of a and 14?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3437*h**5 - 1656*h**2 + 1656*h**2 + (2 - 5 + 4)*(2*h**5 + 0*h + 0*h).\nAnswer: 3439*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3 + 819*w**2 + 62865*w + 919353 = 0?\nAnswer: -127, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(7*r - 16*r - 8*r) to x + w*r and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6\/5)\/(s*s**(2\/7))*(s**1)**(-12)*(s**(-2\/7)*s)**(-38)*(s*s**(-6))\/(s*s\/s**(1\/3)*s) assuming s is positive.\nAnswer: s**(-5176\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3 - 2936*q**2 - 32987*q + 1679790 = 0.\nAnswer: -30, 19, 2947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5564, 5568, 5572, 5576, 5580, 5584?\nAnswer: 5588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by 7?\nAnswer: 95\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, 336, 1078, 2506, 4842?\n\"Answer: 37*d**3 + 10*d**2 - 11*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 5. Let i be w(4). Suppose -2*k + 2 = -2. Suppose -i - 7 = -k*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/56 and -57\/49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -21*(-4 - 192\/(-18)). Let z = p - -200. Let o be (-1)\/(1 + 1)*z\/(-6). Solve n = -3*t - 5 + 12, -5 = -o*n - 5*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) -27 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4712 + 115938\nAnswer: 120650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 1159. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (-22 - (-98 + 5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**3 - 8*f**3 + 78*f**3 - 33*f**3 - f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.012 in 5, 0.1, 2, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.4929 rounded to 1 decimal place?\nAnswer: -20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, s: 7}. What is prob of sequence bsb?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-560)\/(-144) + 10\/9. Solve 0 = 5*x - 2*x + b*h + 1, x = -h + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*3)**2 + -1 - sqrt(1900)) + -2 + -4*(sqrt(1900) + (sqrt(1900) + -1)*-4)**2.\nAnswer: -51367 + 950*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 60760 - -a?\nAnswer: 6076a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 27*x**2 - 107*x + 43. Let m be i(30). Let h = m - -2374. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 125*k - 130.\nAnswer: 5*(k - 1)*(k + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**4 + 9*v**3 + v**2 - 4*v - 5. Let g(i) = i**3 + i**2 - 1. Let t = 33 - 38. Let h(q) = t*g(q) + z(q). Factor h(w).\nAnswer: 4*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34517266 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {y: 2, f: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*1*-5)\/(-4*sqrt(16)\/sqrt(2)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from uvvnrvvuveeuunvvuu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31856 = 4*a + 988*z - 984*z, 5*a + z - 39816 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12846163620 to the nearest one million.\nAnswer: 12846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h\/h**32*h*h\/(h\/((h*h**32)\/h))*h assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from {w: 2, f: 3, v: 1, p: 1, e: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*c**3*t**3 - 571*c**3*t**2 + 5*t**3 wrt t.\nAnswer: 282*c**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.431 + 0.41. Let c = x + 0.171. Let w = -0.15067 + c. What is w rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/(-10))\/(-3) + 250\/625. Put -6, d, 2 in increasing order.\nAnswer: -6, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 204.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 1 + 8 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 418776699 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40. Let f = 0.9 + 0.1. Which is the nearest to -2? (a) f (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 36 = -4*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by -149.\nAnswer: -79\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28680 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23708 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + (sqrt(147) - -2*sqrt(147)) - sqrt(3))**2 - sqrt(27)\/(sqrt(144) + sqrt(9))) + (-1*sqrt(192))**2 + (sqrt(15)\/sqrt(5))**2 + 3.\nAnswer: -sqrt(3)\/5 + 2385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j**2 + 9*j + 15. Let v be h(-2). Calculate the highest common factor of 49 and v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/2)*h)\/h*h*h**(-1\/3))\/(((h*(h*h\/h**(-2\/21)*h)\/h*h*h)\/h)\/(((h**(2\/19)*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(-751\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -69 + 18731?\nAnswer: 18695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -32\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -3. Let n = q + -0.9. Which is the closest to 2\/5? (a) 0.5 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -416.000006592 - -416. Round f to 7 dps.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -13 + 2 - (-7 - 69)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 663 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 - 21*m**3 - 7*m**3 + 43*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)\/sqrt(3))\/(sqrt(11) + sqrt(132)\/(-1*sqrt(12) - sqrt(12))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**2 - 185013488*a + 2139374421370384 = 0.\nAnswer: 23126686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 584, -2, 4341 in descending order.\nAnswer: 4341, 584, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n - 2)*(4*n - 5*n - 3*n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*t + 2944*t = -2463*t - 107118 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 28774304?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1\/13105429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**2 + 2*q. Suppose -4*k - 13 = -5*d, 3*d - 1 = -k - 0. List the prime factors of c(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16050 divided by 50\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 346589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 5*p - p)*(3 + 1 - 3).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 13. Let n = -1.7 - r. Let p = 1.1 + n. Sort p, -1\/5, -4\/3 in decreasing order.\nAnswer: p, -1\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175\/2025*-45*3\/((-63)\/(-12))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 0.07269 (c) 492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k**2 + 15*k + 5. Let a(l) = l**2 + 3*l + 1. Let f(h) = -5*a(h) + o(h). Let d(i) be the third derivative of -13*i**4\/24 + 2*i**2. Give d(f(x)).\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 82*b**2 + 10*b + 5. Let u(i) = -4715*i**2 - 574*i - 287. Let v(z) = -287*s(z) - 5*u(z). Let q(m) = 7*m. Calculate v(q(g)).\nAnswer: 2009*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + 91. Let t = f - 203. Which is the third biggest value? (a) 3\/2 (b) t (c) -2\/13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15100 - 16835*p**2 + 30205 - 15105 + (-5*p + 0*p + 3*p)*(p + 3*p - 5*p).\nAnswer: -16833*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 9*y**2 - 9*y - 11. Let c be b(-8). Let a be (-1)\/(-2) - (-22)\/(-4). Let d(v) = -4*v**3 + 2*v**2 + 3*v + 2. Let n be d(-1). Sort c, a, n.\nAnswer: a, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1185.9 + -1134. Let n = -52 + x. Let w = -79.7 + 80.7. What is the nearest to w in 5, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-76)\/(-12) - 2 - -2. Suppose -3*v + 14 + s = 5*g, v + 4 = 0. What is the least common multiple of 16 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*x + 75. Let a = x - 35. Let v(u) = 2*u + 11. Let q be v(a). What is the greatest common factor of 16 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 380 + -144. Calculate the common denominator of 134\/252*(9 - 8) and (t\/(-220))\/((-16)\/40).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296395 by -5.\nAnswer: 59279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.54 + -7.8. Let q = -0.9 + o. Let x = -0.1 + q. Round x to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 29 + 28)*(4*q + 3*q - 5*q) + 0 + 0 - 2*q.\nAnswer: -106*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + l + 1)*(-4 + 5 - 3) - 2*l - l + 2*l - 6*l + 3*l - 5*l - 3 + 4*l - 3*l + l.\nAnswer: -9*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10507817.\nAnswer: 19, 553043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-14) + (-104)\/(-65). Let i = -1 - 1. What is the fourth biggest value in m, -2\/3, 1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = -386. Let u = b - -1739\/9. Determine h, given that -2\/9*h**3 + 0*h + u*h**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -36 - 30*g - 15\/2*g**2. What is the derivative of w(x) wrt x?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**4 + 15*c**3 + 7*c**2 - 2*c. Let y(d) = -d**3 - 31*d**4 + 13*d**4 + 2*d**3 + d + 19*d**4. Let w(q) = x(q) - 4*y(q). Solve w(a) = 0 for a.\nAnswer: -1, 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*r - 27*r + 162. What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45c (base 16) in base 6?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u + 14*u + 2*u + 7*u**2 - 8*u**2 - 5*u. Suppose 5*o = -5*z - 38 - 12, 2*o + 10 = -z. Let i = -6 - z. Calculate a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59\/5*v - 1\/5*v**2 + 0.\nAnswer: -v*(v - 59)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3 - 2 - 2 - 5*t. Let h be p(1). Let i(a) = 98334*a + 4. Let z be i(h). Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + 2.03. Let v be (-432)\/44 + 4 - -6. Which is the biggest value? (a) -1\/6 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 at most as big as -10\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(-12) + (10 - 2). Solve y = g*m - 4*m - 6, 0 = -m + 5*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81, -287, -629, -1107, -1721, -2471, -3357?\n\"Answer: -68*h**2 - 2*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -27, 0.1, -7.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -7\/39*f**3 - 29 - 8\/13*f**2 + f + 1\/78*f**4. Factor j(h).\nAnswer: 2*(h - 8)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 992 and 3?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5 - 1 - 5 - v. What are the prime factors of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7 + 7*k - k**3 - 3*k - 3. Let j(p) = 1 - p + 0*p + p**3 - 6 - 4*p. What is -5*g(f) - 4*j(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1830 (b) 1\/4 (c) 202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10 + 15\/6. Suppose f*d = -d + 72. What is the highest common divisor of d and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6679*v + 5*a + 1 = 6682*v, -5*v + 43 = 33*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6 - 2 = 0, -44 = -2*l + 4*p. Suppose l = 4*d - 42. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87153.\nAnswer: 3, 11, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r**3 + 232*r - 1251*r - 186*r**3 + 1019*r.\nAnswer: -223*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-4)*28\/30*(-192)\/336?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1531.3 + -1531. Let r = -8.9 + 8.6. Which is the smallest value? (a) t (b) 5 (c) -1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108670 rounded to the nearest 1000?\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116309777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472*q = 478*q + 84. Let m(s) = 2*s**2 + 27*s - 4. Let z be m(q). Solve 0 = -2*v - 3*f + 4, 3*v - 4*f = -1 - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -810 - -813. Solve z*k - 7 = -d, 0*k - 17 = 2*k + 5*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + -1. Let o = -14.6 - d. What is the biggest value in o, -6\/11, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 1 - 1)*((-d - d + 4*d)*(2*d - d + 2*d) + 15*d**2 - d**2 + 0*d**2 - 4*d**2 + 5*d**2 + 0*d**2 + (3*d - 3*d - d)*(-3*d + d + 4*d)).\nAnswer: 19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 27*n**2 + 12*n - 13. Let i be x(-13). Suppose i = 191*s - 194*s + 132. Calculate the remainder when 172 is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -10 - (21 + 75 + -77 - (36 - 2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73643, -73647, -73661, -73691, -73743, -73823, -73937?\n\"Answer: -r**3 + r**2 - 73643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/2*(((-8)\/21)\/4)\/(996\/1162).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*n + 510*n + 274*n + 817*n.\nAnswer: 653*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2 - 6. Let h = b + 3. Find the third derivative of -r**4 - 5*r**5 + r**2 + 2*r**5 + r**h wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Suppose 8*c - 3*c = -120. What is the units digit of (s\/(-10))\/(2\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**4 - 2*h + 2*h + 8*h wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2943\/21)\/(-3) + -2. Let u = 49 + m. Which is the fourth smallest value? (a) -0.5 (b) 1 (c) -2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**2 - 1\/10*h**5 + h + 0 - 1\/4*h**4 - 2\/3*h**3. Is 10 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9134 + 109609\/12. Let v(t) be the third derivative of 0 - 22*t**2 + c*t**4 - t**3 + 0*t. Differentiate v(y) wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + y - 5*y + 6*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 197.3808 microseconds?\nAnswer: 0.000000054828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 != -38\/463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 - -4) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d*s**2 + 179143*d*s - 8214*s**2 wrt s?\nAnswer: 8*d - 16428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/b)\/b**(-2\/9)*(b\/(((b\/(b\/(b*b*b**(-1\/3)\/b*b*b)*b)*b)\/b*b)\/b))**35 assuming b is positive.\nAnswer: b**(-2369\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -200, -926, -2118, -3782, -5924?\n\"Answer: -d**3 - 227*d**2 - 38*d + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -134 and -19.2024133.\nAnswer: -153.2024133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34586*z**4 - 61*z**2 - 40*z + 1.\nAnswer: 830064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84613271 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**6 + 15*n**5 + 4*n**2 - 1?\nAnswer: -360*n**3 + 900*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 87 in descending order.\nAnswer: 87, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-12)*-3 - -5. What is the common denominator of (-2)\/(-8) + (-87)\/w and -34\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102681?\nAnswer: 3, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 2.3, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 440*p - 436*p. Let s(o) be the second derivative of p*o**2 - o**3 + 10*o + 0 - 1\/3*o**4. What is the second derivative of s(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -473*l**5\/60 - 8975*l**3\/6 + 69*l**2 + 27*l. Find the first derivative of p(x) wrt x.\nAnswer: -946*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 + 1 = 0. Let o = i - 8. Let k(c) = -10*c + 1. Let m(u) = 29*u - 3. Let y(t) = -17*k(t) - 6*m(t). Determine y(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 98611?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -57 + 5 + (-22 - -31) - -2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s + 184. Let u be c(-6). What is the hundreds digit of -410*11\/(u\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -21.9. Let b = -4.1 + m. Let i = -4 + 3.5. What is the nearest to 0 in b, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9251821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*o**2 - 17*o**3 + o**3 - 283*o**2 + 845*o**2 - 284*o**2 - 11 + 17*o**3.\nAnswer: o**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/43400 and 103\/200.\nAnswer: 43400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221\/44351 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163379*p**3*q**2 - 393155*p**3 + 75*p**2*q**3 - 97*p**2 wrt q.\nAnswer: 326758*p**3*q + 225*p**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u. Suppose 3*s - 3*q - 9 = 2*s, 4*q = -s + 16. Let l(y) = 28*y - 8*y - 3*y - s*y. What is l(x(a))?\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.1 - -20.7. Let x be 2*(-4)\/8 - (-2)\/(-4). Let c be -3 - (10\/(-25) + 158\/(-55)). What is the third biggest value in x, w, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 20*i**2 + 46*i + 43. Let u be h(-22). Which is bigger: u or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = 5. Suppose c + 0*c = -5*y - 23, 3*y = 3*c - x. Which is smaller: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/14 + (-4 - 0). Let i = 1.7 - -1.3. What is the closest to 0 in m, i, -4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/3*(-9)\/(-6) + 2. Which is the smallest value? (a) -0.4 (b) x (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 4173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-3 + 35\/10). Suppose 4*p - 4*o - 32 = 0, p + o - 20 = -x*o. Solve -5 + p = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Suppose -75*g + 552 = -6*g. Let r(m) = m**2 + 5*m + 5. Let k be r(-5). Sort k, g, q.\nAnswer: q, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4605093, 4605091, 4605089, 4605087, 4605085?\nAnswer: 4605083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v + 21. What is the tens digit of n(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -90*m - 276. Let a(u) = 94 - 25 + 24*u - u. Let w(s) = 9*a(s) + 2*q(s). Differentiate w(l) wrt l.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + 159*h**2 - 146*h + 749. What is u(-54)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + x - 71 = -3*x, -5*r + 129 = 4*x. Let a = r + -26. What is the third derivative of 19*k**6 - 34*k**6 + a*k**2 + 0*k**2 wrt k?\nAnswer: -1800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53952 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2774 = -31*k + 2558. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99352 = 34152*r - 33023*r for r.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21612037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15*d**3 + 257*d**2 + 256*d - 6. Give q(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.7 smaller than 3516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwgmwwmwwm. What is prob of sequence mmgm?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 - 9*z - 1. Let h be f(-5). Let c = h - -101. Let j(g) = 4*g - 7. Let b(v) = -3*v + 6. Let d(l) = 5*b(l) + 4*j(l). Give d(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 3. Let z be c(3). Let s be -3*(z + 8\/(-54)). Let n = -2.92 + -0.08. What is the closest to n in 0.1, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -11. Let l = 438 - 438.1. Suppose -r - 3 - 11 = -4*u, 0 = 2*r - 3*u + 8. What is the closest to r in g, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * 23.\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 9*u - 11. Let p = 8 + u. Let z be (-42)\/(-9) - p\/(-18). Solve -z*t - 4*q - 8 - 1 = 0, -t + 3*q = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -6 (b) -1\/5 (c) 0.5 (d) 0.105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 4*f. Let m be x(3). Suppose m*t = -2*t + 15. Suppose q + 7 = -0*q + t*v, v = 4*q - 5. Solve 0 = -q*y - 0 + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3\/5 (c) -1\/13 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**5 + v**3 + v**2 + v. Let a(t) = -13*t**5 - 21*t**4 + 10*t**3 + 16*t**2 - 2*t. Let b(r) = a(r) + 5*o(r). What is h in b(h) = 0?\nAnswer: -1, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 0 + 0 - sqrt(175) - (sqrt(5040) + sqrt(5040)*-1)\/sqrt(5)) + -4 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -8, 404, -4 in increasing order.\nAnswer: -43, -8, -4, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -9. Suppose -19*y = -l*y - 180. Factor 40 + g**2 + 58*g**3 - 63*g**3 + g**2 + 20*g - y*g**2.\nAnswer: -5*(g - 2)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -157*a - 470. What is the tens digit of w(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 568207862 by 9043.\nAnswer: 62834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 7:26 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/125)\/(1\/(20\/(-12))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68578859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*b = -v + 228, -2*b = -2*v - 7*b + 4. Sort 318, 1, v in increasing order.\nAnswer: v, 1, 318","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 11*s**2 + 3*s - 26. Let y be w(11). What is the first derivative of 115*x + 189 - 14*x + 28*x + y*x - x wrt x?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809, 807, 805, 803?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1218 + 31*c + 1218 + (5 - 4 - 2)*(0 + 0 - 3*c) - 4*c - 1 + 1 to the form n + p*c and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14436*l - 14430*l - 78 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3968 - -4824. Solve 0 = 852*b - f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w*w**(-1\/11)*w*w)*w\/(w\/(w\/w**23)*w*w)*(w**2*w)**(1\/59) assuming w is positive.\nAnswer: w**(-16133\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214499 - 2.\nAnswer: -214501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283556141 plus -0.2798?\nAnswer: 1283556140.7202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2831938081 to the power of 1\/3, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*f + 322 = 0, 4*f + 15 = x - 71. Suppose 3*d = -5*i + 70 + x, 4*d - 240 = 4*i. Suppose -d = -3*b + b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 3 (c) 0.4 (d) -4 (e) 16520\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -16. Let y = 0.01 + 4.99. Which is the third biggest value? (a) 1\/2 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1520077 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*w - 826 - 180054 = 0. Solve w*y = 561*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.216967866 rounded to three decimal places?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 311014753*q + 311014753*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7380 - 5047. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/22*-1 + -1. What is the nearest to 2 in -2\/5, s, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(20) + sqrt(500)))\/((sqrt(48)\/sqrt(4))\/sqrt(3)) - (-5 + sqrt(125) + 2*(2*sqrt(125))**2 + 5).\nAnswer: -1000 - 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011110 + -11?\nAnswer: 1100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116785 + -35562. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9869426 and -70\/89361.\nAnswer: 88824834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microsecond in nanoseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 291, 581, 871?\n\"Answer: 290*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -14*n - 219. What is v(-21)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b - 19. Let f(o) = 13*o - 37. Give -3*f(k) + 5*s(k).\nAnswer: k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, -5, -2924, -1 in descending order.\nAnswer: -1, -3, -5, -35, -2924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 71*f - 1446. What is r(20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 - 6*z**4 - 4*z**4)*(3*z - 2*z + 29 - 30).\nAnswer: -7*z**5 + 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3298470 divided by -2.\nAnswer: 1649235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -5. Let a(j) = c*j + j - 4*j. Let s(f) = 4*f - 5. Let g(h) = 4*h - 4. Let q(n) = -5*g(n) + 4*s(n). Calculate q(a(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(234) - 2*sqrt(234))\/(sqrt(22)\/sqrt(176)) + 3.\nAnswer: -12*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -497263822\nAnswer: 497263834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.03?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1783 - -319. What are the prime factors of u?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*g**2 - 3 + 3 - 896*g**2.\nAnswer: -1041*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w - 16 = -5*l, 4*l - 8 = 0. Let g(o) = 2*o**2 - 3*o + 1. Let x be g(w). What is the second derivative of 10*r**2 + 17*r + x*r - 34*r wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2521*o**2 - 2480*o**2 + 72 + 15*o - 15*o + 113 to y*o**2 + b + z*o and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 9 = 34 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/630*-14*(-2)\/3)\/(4\/414)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1269)\/90 + 11 - 14\/(-4). Sort 27\/14, -3\/11, o in ascending order.\nAnswer: -3\/11, o, 27\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.43339 rounded to 2 decimal places?\nAnswer: 9.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(7\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359747?\nAnswer: 359747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + (16 - (-4 - (10 - 6))) + 19?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271 is divided by 204?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 16 = -6*m, 5*u = 4*m + 1794. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 7 - 3) + 11 + 2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 27.245. Let k = 4.805 - n. Let z = k + 0.1. What is z rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59098150.\nAnswer: 2, 5, 1181963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66371093.3801 - 66378549. Let p = 7456 + f. Let s = -0.38 + p. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 10. Let o be n(6). Let c be ((-65)\/(-25) + -3)\/((-10)\/100). Is o at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19444.184 + -19443. Round w to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 4*i**7\/21 + i**5\/10 - 7*i**4\/2 - 104*i. Find the third derivative of z(b) wrt b.\nAnswer: 480*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 584804 and 2156?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 217 - 231 = 0. Let n be (-17)\/(-187) - (-608)\/88. Calculate the greatest common divisor of i and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5493*z**2 + 2*z. Let f(h) = 9*h. Calculate f(i(d)).\nAnswer: 49437*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53328160 divided by 10?\nAnswer: 5332816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260*x + 1903132 = -1828700 + 1297972. Is 151 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let p(g) = 1. Let x(t) = -2*t - 11. Suppose -4*c - 4*o = -8, 10 = -4*c - o + 15. What is c*x(f) + y*p(f)?\nAnswer: -2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*t + 4*c - 7, 0 = -4*t - 3*c - 11. Let h = 2\/111 - -35\/111. Let i = 8 - 7. Sort h, i, t in decreasing order.\nAnswer: i, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4220 and 80?\nAnswer: 16880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 58253.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -19*u - 18*u + 51*u. Let n(b) = 2*b + 1 - 1. Calculate n(l(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12898117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*n - 8, r - 2 - 1 = 4*n. Let l be (-1 - r - 2)\/(-1). Suppose 17 + 1 = l*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 96*i + 420. What is c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13680 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1810)\/(-75) - 5 - 2\/15. What is the highest common divisor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4011 - 3424 = 141*t + 9893 for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -190, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1455415*u - 1455415*u + 1602*u**3 + (-4*u**2 - 3*u + 3*u)*(-1 + 1 - u).\nAnswer: 1606*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(378)*1)\/sqrt(7))\/(sqrt(4)\/sqrt(2)*-4 - ((2*sqrt(2) + sqrt(2))*6 + sqrt(2))).\nAnswer: 6*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2 + 9*o. Let j be (-21)\/4 - 38\/(-152). Let d(u) = 13*u**2 + 13*u. What is j*d(f) + 7*i(f)?\nAnswer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -2111201323323?\nAnswer: 2111201330002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55136 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 28 = -2*z, 0 = z + 6*o - o - 14. Let p = 1208 + -1202. Calculate the remainder when z is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -303?\nAnswer: 4\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from hsribsbr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((130\/(-3))\/5)\/(3\/(-9)). Suppose 0 = -4*o - i - 6. Let x be o\/24 + 21\/9. Solve -3 = 5*n + x*r, 4*r - 1 = 4*n + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = 166 - 1027. Calculate the highest common divisor of z and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2034 - 1970.06. Let q = 65 - s. Let b = 0.06 - q. Are b and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/8*w + 3\/8*w**3 - 3\/4*w**2 + 3\/4 = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-117)\/(-65)*(-10)\/(-3). Let k(w) be the first derivative of 2*w**2 + 8\/3*w**3 + 0*w - 2\/3*w**p + 5 - 8\/5*w**5 + 0*w**4. Factor k(i).\nAnswer: -4*i*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13025\/3 + -78221\/18. Find the common denominator of -113\/6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110 + 1000011001000100?\nAnswer: 1000010111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 5*o**8\/672 + 17*o**7\/840 + o**6\/160 - o**5\/48 - o**4\/96 + 137*o**2 + 1. Find b such that u(b) = 0.\nAnswer: -1, -1\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1130, 1977, 3228, 4883, 6942, 9405, 12272?\nAnswer: 15543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7556 divided by 4.\nAnswer: -1889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0 - 6. Suppose 20 = 3*b - 7*n + c*n, 5*b = 4*n + 16. Let x be 1\/(2\/8 + b). Is 8 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)*d**(-2)\/d*d)**(10\/3) assuming d is positive.\nAnswer: d**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 1 f when three letters picked without replacement from {u: 3, v: 1, f: 1, c: 1, h: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -68.2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:25 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 5*o - 2. Let h be d(-3). Suppose 0 = -4*i - 2 + h. Solve 0 = -r + 5*l - 15, -4*r + i*l + 5 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - 20\/(-15)*6. Let v(a) = -3*a + 13. Let d = -3 - -8. Let o be v(d). Sort g, 2, o in decreasing order.\nAnswer: g, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 divided by -6?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 3*a - 5*a)*(-4 + 0 + 3) + 12*a - 25 + 25.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/73 (b) -7 (c) 0 (d) 0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -55*u - 20. Let o(r) = -406*r - 141. Let z(l) = -15*c(l) + 2*o(l). What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/13 (c) -3 (d) -3.98 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 18678.\nAnswer: 5\/18678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -29372*c - 664. Let v be w(-62). Round v to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 12*x - 1. Let i be m(-10). Let j(t) = 2*t**3 + 17*t**2 - 2*t - 76. Let s be j(-8). What is the fourth smallest value in i, -2\/11, s, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**(-1\/5)*(h*h**1*h)\/h**(1\/2) assuming h is positive.\nAnswer: h**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 21*u + 69. Suppose -201 = 6*b - 2*b - 129. What is v(b)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 + 2.9. Let l = -0.4 - -0.2. What is the closest to 0.2 in -2, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1099324029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + (16 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 155*l + 54. Let d(w) = -2*w**2 + 77*w - 31. Give 7*d(b) + 4*y(b).\nAnswer: 2*b**2 - 81*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 6, w: 1, y: 1, b: 4, z: 2}. What is prob of picking 2 i and 1 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.3 (b) 44 (c) -1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 167 - 206 - 191 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = b + 11, -68*i - 4*b = -70*i + 16. Suppose 63 - 13 = 5*o. Solve o = 3*r + i*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32647*j**3 - 4*j**2 + 4*j**2 - 16177*j**3 - 16241*j**3.\nAnswer: 229*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 423 - 733. Let w = -312 - y. Let s(k) = -k - 3. Determine s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/13 < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(8)\/sqrt(16) + sqrt(10)\/(sqrt(10)\/sqrt(2))*-1)**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + -5 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.68 - 0.1443?\nAnswer: -12.8243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 1.76\nAnswer: 0.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3 - 5*p - 3 - 6*p + 8. Let g(b) = 7*b - 5. Let y(j) = 8*g(j) + 5*v(j). Let w(i) = -5*i**2. Calculate w(y(d)).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40092 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 5*z - 1. Let a be d(-6). Suppose -4*m - 20 = 0, -1 = -3*s - 5*m + 4*m. Let c = a + s. What is the second smallest value in c, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8131712717 - 8131712717 + 20*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.05739, 0 in decreasing order.\nAnswer: 0.05739, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-6) + 11\/(-22) + (10 - 7) and 4\/6 - -2*(-25)\/(-340).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/17))**(4\/11)*(f**8)**(-4\/13) assuming f is positive.\nAnswer: f**(-5204\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 2*y + 3. Give s(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19993361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 43*q - 9. Let f be v(9). Let l = f + -193. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**5\/5 - 11*s**4\/4 + 9*s**3 - 25*s**2\/2 + 8*s - 4. Find q, given that d(q) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 14\/3)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/4 + 1870\/1144)\/(3 + -1). Let n be (-2)\/4 + (-226)\/312. Let z = n - d. What is the common denominator of z and 115\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4741 divide 782953471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014472442482 to 6 dps.\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -16 (b) -2\/7 (c) 3070 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -1063*p + 1060*p. Let s(l) = -l + 4. Let q(b) = -6*b + 17 + 0*b + b. Give p*s(o) + 2*q(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Suppose -4 = p*g + 16. Let r(s) = s**2 - s + 5. Is r(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = 5*x + 7*x - 5*v, 3*v = 76*x - 81*x + 58 + 26 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -1772, -4799, -9254, -15137, -22448, -31187?\nAnswer: -41354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1132\/62025 or -1?\nAnswer: -1132\/62025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 9. Let z be d(0). Is (-3210)\/(-18) - (-12)\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/1*(-26094)\/(-21745).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Calculate the lowest common multiple of (4\/(-10))\/((-3)\/75) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1)\/(-5) - 36\/(-20) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 4 - -3 - (-88 + 103)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Let q = -1342987\/45 + 29846. Find the common denominator of (((-603)\/g)\/(-3))\/3 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212213 (base 4) in base 15?\nAnswer: 6c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 0.2, 2\/3, -2\/55?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 + 0*r**2 + 6*r**2 + 0*r**2. Let s(k) = 36*k**2. Calculate s(m(l)).\nAnswer: 3600*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -39*p**5\/5 - 45*p**2\/2 - 2*p + 126. Find the second derivative of w(m) wrt m.\nAnswer: -468*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85689857 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 16. Let r(a) = -15*a + 185. Let v be r(8). Let h(d) = -9*d + 3*d + 70 + 5*d - v. Give h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -637 - -636.99999717. What is m rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/6)\/(2\/(-6)). Let h = 15873 - 9629. Let j = h + -43782\/7. Which is greater: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.27 + -2.96. Let y = 0.99 + i. Let m = 2.2 - y. What is m rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -15*z + 48 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.3. Let l = f - 0.3. Let t = -66 + 196\/3. What is the closest to 0 in t, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -70*(22\/5 - 4). Let y = r + 33. Which is the biggest value? (a) 2\/3 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-5 - (1219 - -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5797 (base 14) in base 5?\nAnswer: 441400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*s - 1033, -8*s - 4 = -10*s. Suppose 2*u - 86 = d, -5*u + 205 + 16 = -4*d. What is the greatest common divisor of o and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9917255 centuries in millennia?\nAnswer: 0.09917255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10*(-1)\/(-2))\/1. Suppose -3*y = -2*t + 23, y = g*t + 2*y - 15. Solve t*n = 4 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 16*a**2 - 32*a + 7. Does 35 divide g(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxxx. What is prob of sequence xnxn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) -29 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 1 + 2 + 4 + sqrt(539) + 1)**2.\nAnswer: 224*sqrt(11) + 2220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 25*h - 9. Let d be v(-7). Let o = 283 + d. Suppose 4*z + 39 = o. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70109876, -70109874, -70109872, -70109870, -70109868, -70109866?\nAnswer: -70109864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.628 - 1644.628. Let w = d + 1644.00001682. Round w to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020477872 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - i**2 - 1. Let x be -4*2\/3 + 86\/129. What is v(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 19880599*n - 19880599*n + 44*n**2.\nAnswer: 44*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2. Let d(g) = 5394180*g**2. Determine d(t(j)).\nAnswer: 86306880*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 5. Let u be b(-4). Suppose -3*p - 395 = -4*x - x, -3*x = -3. Let l = -125 - p. Solve 3*k - u - l = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/26, -86, 2\/437, -41?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, g: 6}. What is prob of sequence gsss?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/46525842 and 97\/198.\nAnswer: 46525842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 455262 and 6.\nAnswer: 455262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 13*b**2 - 127381*b + 1 + 127377*b.\nAnswer: 13*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:34 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**3 + a - 14*a**2 + 2*a**3 + 2*a**3 + 15*a**2 as h*a**2 + n*a**3 + s + c*a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y**3 - 3*y**2 + 4*y + 7. Let g(z) = -30*z - 3 + 5*z**3 + z**2 + 0 + 28*z + 0*z. What is -7*g(j) - 3*x(j)?\nAnswer: -2*j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m - 605. Let x(u) = -4*u + 302. What is 3*g(l) + 5*x(l)?\nAnswer: l - 305","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/26976 and -13\/2248.\nAnswer: 26976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-449 - 2)\/((-2)\/10). Let n = u - 13637\/6. Calculate the common denominator of n and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/11580 and -181\/393720.\nAnswer: 393720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400666910 rounded to the nearest one hundred thousand?\nAnswer: 400700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = y - 4*u, 2*y - 32 = y + 3*u. Let b be 2\/(-3) + (-92)\/6. Let g = b + y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59644985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15111 - 15110. Let l be 1\/(-7) + (-1 - -1). Let a = 1.5 + 0.5. What is the nearest to w in -10, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + 1 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 754 - 167. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8673.646 decades to millennia.\nAnswer: 86.73646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*y - 6584, -3095 = -5*h + 4*y + 5144. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:54 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*l**2 - 15\/2*l - 5\/2*l**3 + 5\/2.\nAnswer: -5*(l - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17008 and 3200.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798661213.\nAnswer: 7, 193, 591163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p**2 - 6*p. Let o(u) = 14*u**2 - 7*u. Let m(s) = s**3 + 6*s**2 - 15*s - 63. Let l be m(-7). Determine l*j(k) + 6*o(k).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149851*f**3*t**2 - 255*f**3*t - 7*f*t**2 + 4058*f*t wrt t?\nAnswer: -299702*f**3 - 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 0.0126, 2, 23\/4, -2\/7 in descending order.\nAnswer: 23\/4, 5, 2, 0.0126, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189470 is divided by 94632?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429*v**2 - 1320*v + 14 + 19 - 54 + 21 wrt v.\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 109. Suppose -v = -2*p - 43. Suppose -4*b + 4 = 2*o, -5 = 5*o - b - p. Solve o = -4*c + 4*m - 28, 5*m + 22 = -2*c + 9*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/230*(-10)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 4:11 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 9:35 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360\/7 - 50\/7*l**2 - 13\/7*l**3 + 1\/7*l**4 + 324\/7*l.\nAnswer: (l - 15)*(l - 2)**2*(l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 32. Let h(j) = 5*j**2 - 123*j - 37. Let f be h(25). What is a(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*m + 33 = -5*t, 3*t + 17 = -m. Let s = 10 + t. Let d = 0.3 - 0.5. What is the nearest to -2\/5 in -4, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-23 + (-467620)\/(-9080).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 7) - (6 - 9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1147 - 1145. Solve 3*n = -4*o - 7, -8 = -4*n - k*o - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209, -251, -293?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a factor of 375687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 1. Let y(p) be the second derivative of -p**3\/6 + 7*p**2 + 29*p. Let d be y(9). Suppose d*f = -f - 18. What is u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/18)\/((-4)\/(-14)*(-13)\/(-26))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1279\/7 + 183. Let u = 4 - 4.1. Put j, 2, u in ascending order.\nAnswer: u, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050900429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (106 + -101)\/(30\/132)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-17))**(1\/25)\/(((w\/w**3)\/w*w)\/(w**4\/w)*w\/w**(2\/5)*w**(-5)\/w*w) assuming w is positive.\nAnswer: w**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38568 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4718)\/(-42))\/(2\/18). Let r = m + -639. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*v + 8932 = 170*v for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00221299 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(sqrt(128) + 1*sqrt(128) + sqrt(128) - sqrt(128)) - sqrt(128))**2 + ((0 + sqrt(128))**2*1 - (2 + -1 + sqrt(128))).\nAnswer: -8*sqrt(2) + 15612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*p - 5, 0 = -3*p + h + 13. Suppose 387 - 2652 = -p*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 + -58b03?\nAnswer: -58b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*z + 8, z - 6*z + 25 = 0. Let q be (-12)\/(12\/x) + -1. Let h(r) = 12501*r + 4. Let u be h(q). Round u to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -41*g**3 + 2*g**2 - 1. Let j be w(1). Let h = j - -57. Calculate the highest common factor of 34 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88839.\nAnswer: 3, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, v: 1, a: 1, l: 10, j: 2}. Give prob of sequence vfj.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -848, -891, -982, -1139, -1380?\n\"Answer: -3*a**3 - 6*a**2 - 4*a - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -7580000)\/(14\/(-21)). What is l rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -50, -70, -110, -176, -274?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 p, and 1 d when four letters picked without replacement from {e: 3, p: 4, d: 10, r: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 709, 701, 649, 547, 389?\n\"Answer: -q**3 - 16*q**2 + 47*q + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.948462 * 5.\nAnswer: 4.74231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 + 164. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*s**2 + 13556*s**2 - 2142*s**2.\nAnswer: 12069*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214545.\nAnswer: 3, 5, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 s, and 1 r when four letters picked without replacement from {s: 2, q: 5, r: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 941348587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {s: 1, h: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/6 - 1) + (-68080)\/3552. Let z = -66 + 30. Let m = c - z. What is the remainder when 31 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*b + 2*b = 14, 0 = 4*v + 2*b - 22. Suppose v*s - 28 = 4*k, -4*k + s + 1 = 38. Let a = -2 - k. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5798362 and 5798355 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**2 - 2*n**2 + 2*n - 4*n**2 + 21*n**2 - 2 - 7*n**2. Calculate the remainder when 30 is divided by i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/3*j + 1\/3*j**2 + 169\/3.\nAnswer: (j - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.21 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-7)\/w*w*w\/((w*w**(-1)\/w)\/w))\/(w\/(w**8\/w*w*w)*w**(-5)) assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -765323?\nAnswer: -765323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -447 + 451. Solve 0*f + 4 = -l*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-210)\/(-50))*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 7:11 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -23. Let b = 18 + -9. Let o(n) = 3*n**2 + 4*n - b*n - 4 + n**2 - 3*n**2. Give o(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 7*d - 4*d - 4*d. Let b(o) be the first derivative of 5*o**2\/2 - 2. What is x(b(p))?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -21*o**2 + 297*o + 115. Let t(z) = 3*z**2 - 43*z - 16. Determine -2*r(d) - 15*t(d).\nAnswer: -3*d**2 + 51*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-20)*x\/x**(-7)*x)\/((x*x**21)\/(x*(((x\/x**12)\/x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8347918004836 + 0.02.\nAnswer: 8347918004836.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19176982 minus 0.4?\nAnswer: -19176982.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 2803580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 50.4?\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -764 - -769. Suppose -6*y + 1607 = -v*y. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 35, -2\/17?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 5, 6 + 5 = 2*t + p. Find the third derivative of 62*x**6 + 54*x**6 + t*x**3 - 120*x**6 + 63*x**2 wrt x.\nAnswer: -480*x**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30075778, -30075776, -30075774, -30075772, -30075770?\n\"Answer: 2*w - 30075780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 27 + 258 = -19. Suppose -2*m + 11 = -5*u, 3*u - 2 = 5*u. Suppose -r = w - 14, -r - 1 = -m. Calculate the highest common divisor of w and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2405*s - 1966. Let r(d) = 2404*d + 1998. Let q(h) = -4*p(h) - 3*r(h). Differentiate q(t) with respect to t.\nAnswer: 2408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -23 (c) 0.28 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20414517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:41 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -267? (a) -2 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289 - -295. What is the third derivative of 33*h**c + 24*h**6 - 28 + 25*h**6 - h**2 wrt h?\nAnswer: 9840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + j - 3, 5*f + 3*j = 9. Which is greater: 1\/8 or f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -682191, -682259, -682365, -682509?\n\"Answer: -19*q**2 - 11*q - 682161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2, -4\/7, -329\/5, -2\/15 in increasing order.\nAnswer: -329\/5, -2, -4\/7, -2\/15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.5. Let n = 212\/139 + -285\/278. Put l, 97, n in decreasing order.\nAnswer: 97, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 476699489 or 476699490?\nAnswer: 476699489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 7*m + 3*m + 64, -4*m - 21 = -y. Which is smaller: 16 or y?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 27c06f?\nAnswer: 27c073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 102*m + 105*m - 17 = 0, m + 5 = g. Solve -102*r + g = -101*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 157, 555, 1243, 2233, 3537, 5167?\n\"Answer: 2*w**3 + 133*w**2 - 15*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*q - 501*q + 24252 = -1088*q for q.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*i + 7045 - 2275 = -125*i - 117*i for i.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by -25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.7 - 35.297. Let a = -0.103 + c. Sort 3\/4, 0.03, 0.4, a.\nAnswer: 0.03, a, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:56 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p + 8*p - 9, -2 = -4*i - 2*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 7) in base 8?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*u, -4*y + 0*u - u = -48. Suppose 35 = 2*p - y. What is the remainder when 84 + -6 + (-16)\/((-128)\/(-56)) is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -3) + -1 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*((-16)\/(-20))\/(-1). Let c be 31 + -6 + r\/4. Suppose -4*t + 5 + c = 0. Let g(o) = o**2 - 7*o - 7. What is g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p - 3*f + 11229 = 0, 5*p - 18709 = f. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0.3, 0.29 in decreasing order.\nAnswer: 5, 0.3, 0.29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*l + 571 + 758 = 0, 0 = o + 2*l - 277. List the prime factors of o.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 5*w**4\/4 + 11*w + 1. Let p(s) = 5*s. Determine p(k(t)).\nAnswer: 75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drgpkrrppdrddpdfdd. What is prob of sequence kdp?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 7*j**2 + 4*j - 4. Let m be q(-6). Suppose 16*h - m = 12*h. Suppose -5*z - 4*f + h + 33 = 0, 0 = -f + 5. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 18*x - 12*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033912309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/12 + 2 + (-32)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1042 - 707. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 3*w - 5. Let s(j) = -3*j**2 - 5*j - 10. Give 5*d(z) - 3*s(z).\nAnswer: 4*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 26 + 10 = x, 16 = 4*x. Let k(p) = -5*p + i*p - 2*p. Let t(a) = -2*a**2. Calculate t(k(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {j: 9, r: 2}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4601233 or -64417253\/14?\nAnswer: -64417253\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -1\/24*v**3 - 2*v + 0*v**2 - 1\/24*v**4 + 0. Find m, given that q(m) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/10 - q**4\/24 + q**3\/6 + 5*q**2. Let n(x) = x**2 - x + 1. Give g(f) - n(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -16*m**2 - 186*m - 318. Determine d(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = 5*o, 0 = 13*k - 8*k - 4*o - 18. Let a = -1.3 + 1. What is the biggest value in -5, k, a, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -13.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.3 + 36.79. Let z = y + 18.50259. What is z rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-28) + (-201)\/(-12). Solve -4*a + u = -0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 72\/25 (b) 20 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + 5. Suppose -1 = v - 2*l, 5*l = -3*v - 2 + c. Suppose -2*n + v*n = 79. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**23\/z*z\/(z*z**(-3\/2)))\/(z*z\/((z*z\/(z*z*z\/z**(-1\/19))*z)\/z*z*z))**(-20) assuming z is positive.\nAnswer: z**(1693\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**2 - 13909*f + 18*f**2 + 13909*f + 20*f**2 - 63*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 70 = -346. Let s = y - -114. Suppose t + s = 182. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 - (-2285)\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -468, -483, -516, -573, -660, -783, -948?\n\"Answer: -k**3 - 3*k**2 + k - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chchecccecccecce. Give prob of sequence ceec.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22678733?\nAnswer: 7, 11, 294529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 5*r + 570 = 0, 0 = 3*c - 4*r - 339. Let y be (90\/5)\/6*(54 - 51). Calculate the highest common divisor of y and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 1. Let v = c + -7.98. Let a = -0.7 + 0.8. What is the closest to 0 in a, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 0.009, 1\/9, -0.2.\nAnswer: -0.3, -0.2, 0.009, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 10*b + 4 = 0. Suppose -3*s - s = -72. Suppose 5*j + s = -b*h, 6 = -2*j + 4*j - 5*h. Is j at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747*n + 417*n + 668*n = -593*n + 27400 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (18\/3 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h - 3*a, 0 = 4*h + a + a - 2. Suppose -5*r - 2 = -2*o + h, 0 = -2*o - r + 9. Factor -c**o - 4*c**4 + 2*c**4 + 3*c**2 - 2*c + 2*c**3.\nAnswer: -c*(c - 1)*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236931476 to the nearest integer?\nAnswer: 15393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*m*s**3*y - 2*i**2*m*y - i**2*s**3 + 2*i**2*y + 7*m*s*y + 2*s**3 - 2*y with respect to m.\nAnswer: i**2*s**3*y - 2*i**2*y + 7*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 2*y**2 + 2*y**2)*(312 - 152 - 6263*y - 160).\nAnswer: -25052*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/124 and 25\/4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 19 = 3*o, -3*n + 0 = -3. Let i(f) be the first derivative of f**2\/2 - 4*f - 2. What is i(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-18 + -11 - -51)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17809\/3 + 5822. Let p = 115 + d. Which is the nearest to -1\/4? (a) 21 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46508 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 - -109.3. What is the nearest to -0.3 in -4\/3, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2543, 4458, 6371, 8282, 10191, 12098?\n\"Answer: -f**2 + 1918*f + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**7\/2 + 7*v**4\/4 - 21*v. Find the third derivative of f(c) wrt c.\nAnswer: -1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-198)\/77)\/(6\/(-28)). Suppose 3*v + 4 = f - v, -3*f - 2*v = -w. Which is the fourth smallest value? (a) -3 (b) f (c) -0.3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.7 + 27. Let h = 18.3 - r. Let a = -18.000072 + h. What is a rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -54*b**2 - 43388*b + 22540. Calculate h(-804).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5497 - 43915\/8. What is the common denominator of v and -133\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*t + 387*t**3 + 149*t**3 + 1060*t**2 + 1559*t**4 - 779*t**4 - 776*t**4 = 0. Calculate t.\nAnswer: -132, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 12) to base 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -24*a**3 + 26*a**2 - 61*a + 40. Let r(n) = 10*n**3 - 13*n**2 + 30*n - 20. Let g(l) = 10*r(l) + 4*u(l). Suppose g(v) = 0. What is v?\nAnswer: 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1985 divided by -4.\nAnswer: 1985\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.80641t to micrograms.\nAnswer: 51806410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 11 (c) -8 (d) 0.39 (e) 2\/251\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 344966 or 345107?\nAnswer: 344966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 16, -a + 2 = -k - 2. Suppose a*u = -2*u - 8. Let q be (u\/(-16))\/(0 - -1). Is -0.3 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89, 169, 245, 317, 385, 449?\n\"Answer: -2*r**2 + 86*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 3, d: 2, g: 2}. Give prob of picking 1 v, 1 i, and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 457 + -453. Determine a, given that 2*a**2 - 1649*a**3 + a**k + 3 + 1647*a**3 + 2*a - 6*a**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*x = 24. Solve h = 3*t, -2*h = -7*t + x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 837 and 946802?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 18. Let v(p) = p**2. Suppose -3*r = -3*a - 54, -2*r - 4*a = -12 - 0. Let j(x) = -4*x**2 + r + 0*x**2 - 14. What is i*v(b) - 6*j(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.041 + 1.959. Let g = -139\/3 - -46. Which is the nearest to g? (a) 4 (b) -1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-s + 4*s - 2*s + (5 - 3 - 3)*(-2*s + 0 + 0) + s + 4*s - s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - h = -6, -3 = 3*a - 4*h - 0. Let k(u) = u**3 - 9*u**2 + 14*u + 2. Let v be k(7). Let q be (v\/(-3)*1)\/(3\/72). Put 0, q, a in ascending order.\nAnswer: q, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2613.1 + 2613. Which is the nearest to -0.1? (a) 6\/7 (b) -0.2 (c) -690 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.04 (b) -0.3 (c) -56593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(-135*60\/10800).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1242 and 3.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05031 + -0.45031. Which is the closest to 1\/8? (a) m (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-34)\/(-17))*(-9705)\/2 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -302.3 - -303.3. Let m = 7.5 - 7. What is the biggest value in m, h, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3, -r + c = 3*c + 12. Let x be r\/(-3) + -11 + 12. Sort 8\/3, 2, x, 5.\nAnswer: 2, 8\/3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2575345 or 2575346?\nAnswer: 2575346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -15.1.\nAnswer: 3.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0946*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h. Let y(g) = 91*g. Calculate v(y(m)).\nAnswer: -1092*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b + 3 - 3)*(-3 + 3 - 2) + 2*b + 3*b - 4*b)*(-4*b - b + 4*b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2 + 4. Is (1 - d) + 85 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyygyggyy. What is prob of sequence yyg?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -15.51. Let k = -9.49 + q. What is the biggest value in -1\/3, -2\/13, 1\/9, k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 15. Calculate the least common multiple of x and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-18) - (-2)\/(-3). Let q(n) be the third derivative of 0 + p*n**5 - n**2 + 0*n**3 - 1\/84*n**4 + 0*n + 1\/420*n**6. Let q(r) = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u - 1. Let b(j) = -104*j - 201. Calculate -2*b(t) + 30*y(t).\nAnswer: -2*t + 372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 159*x**5\/20 - 13*x**4\/12 - x - 24. What is the third derivative of z(h) wrt h?\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t - 1. Suppose -3*i - 1 = -4*i - 3*z, -2*i - z = 8. Let k be w(i). Is k bigger than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = y + 2*y. Let z = 163 - 126. Suppose -3*q + 20 = -z. What is the remainder when y is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x**2 - 2*x**2 + 2*x**2)*(-2 + 1 + 10) to d*x + z + u*x**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632910502.\nAnswer: 2, 19, 1511, 28439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2682886 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.2203 rounded to 1 decimal place?\nAnswer: 468.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2132 = 135*u - 131*u. What are the prime factors of u?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 at least -0.064364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -412348, -2 in descending order.\nAnswer: 4, -1, -2, -412348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w**2 + 12*w + 23. Let y be 28\/(-12) + -1 + 8\/6. Let l be g(y). Does -40\/7 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/7))\/(k*k*k**(-2\/17)*k) assuming k is positive.\nAnswer: k**(-258\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*0\/48?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3\/(-5)*(-5)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2825928 divided by -15876\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 46*d. Let v be 1\/(3\/(-15)*-5). Let k be p(v). Let o be k\/10 + (-4)\/(-10). What is the highest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -709 - -714. What is the greatest common factor of b and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.7 and 0.0350134221136.\nAnswer: 4.7350134221136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + 22*w**2 - 45*w - 19. What is q(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(28)\/sqrt(4) + (sqrt(28)\/sqrt(4))**2*4 + 2.\nAnswer: sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 - 9) - (0 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b - 12. Let n be d(6). Calculate the highest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-3 - -7) + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2695 - -2707. What is the remainder when ((2 - 2) + -21)\/(-1) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*3*(sqrt(605) + 2*sqrt(605))**2*-1.\nAnswer: -16334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 41137470.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b - 8*b + b - b**2 + 2*b - 2. Let i be v(-4). Suppose 33 = 5*y + 13, i*y + 32 = 5*d. What is the least common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20702 + 20700. Put 3614, 4, m in descending order.\nAnswer: 3614, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - f + (0*f + 6*f - 4*f)*(-8 - 4 + 2) + f - f + 2*f to j + q*f and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.35 in -0.02, -3, 30\/127?\nAnswer: 30\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = q. Let c = q - 10. Is 12 a factor of -2 + 28 + (c - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 65 = -37. Let t = k + -30. Suppose 4*u = -2*x + 148, -4*x + 0*x + t*u + 356 = 0. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -33*v**3. Let g be d(1). Let u = 56 + g. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*w + 8 = -180*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 1 - 4*w**2 + 1\/3*w**3 + 0*w. List the prime factors of s(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*z = 384*z + 337000. Round z to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:01 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 2.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 + -128. Let t be (2 - 19)\/(7 + -8). Let r = t + b. Solve -c + 0 = -r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v - 1. Let z be (-2)\/5 - 114\/(-10). Suppose -d - 5 + z = 0. Calculate the remainder when o(2) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((816\/(-340))\/(4\/(-5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38725 + -8920. What are the prime factors of c?\nAnswer: 3, 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 5, 149701 in increasing order.\nAnswer: -4, 5, 11, 149701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1454 divided by 6.\nAnswer: -727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159956960 a multiple of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 347385 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/2 (b) 9 (c) 1\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1792*p + 2202 + 19302 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - (-1668)\/(-18))*-6?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64549647.5 to the nearest 1000000.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1362*m + 2. Let c(n) = -9*n**2 - 4. Let z(w) = 50*w**2 + 22. Let s(x) = -11*c(x) - 2*z(x). Calculate g(s(q)).\nAnswer: 1362*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.92 + -16. Let r = 0.0604 + b. What is r rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52376 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*p**3 - 19 + 675*p**3 - 7.\nAnswer: 35*p**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*f = -50, 4*v = 3*v + 3*f - 9. Suppose v*i + 0*i = -18. What is the common denominator of 74\/9 and -6*i\/((-84)\/13)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97607.94 meters to nanometers.\nAnswer: 97607940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Calculate the remainder when 3 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69278 = 1325*b - 19497 for b.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 5*r**2 - 5*r + 6. Let h be k(-6). Suppose z + 2*y = -h*y, z + y + 1 = 0. Is z + 16\/10 + 102\/5 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 321 - (-8 - (-28)\/7). Let d = 337 - n. What is the lowest common multiple of 18 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.5 (c) -10\/3 (d) 0.05 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 459000 divided by 85\nAnswer: 5400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12053 less than -32304.9?\nAnswer: -20251.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttnttnntn. Give prob of picking 2 t and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57 - -14371?\nAnswer: 14438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 9365*i - 9360.\nAnswer: -5*(i - 1872)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 22*y**2 + 32*y - 142. Let s be n(23). What is the greatest common factor of 767 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - -105081?\nAnswer: 105063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 572 + 760*z**2 - 752*z**2 - z**3.\nAnswer: -z**3 + 8*z**2 + 572","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2932\/7 + 420. Let k = -1.95 + 2.35. Put k, w, -0.1 in descending order.\nAnswer: w, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31996 - -2239823\/70. Find the common denominator of i and -25\/8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111010100 (base 2) to base 12\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + (0 + -1 + -2*(sqrt(176)*1 + sqrt(176)))*-4)*-6)**2.\nAnswer: 921600*sqrt(11) + 40608000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.8 minus -86.65522?\nAnswer: 133.45522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-147))\/((-177)\/(-7847)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607 is divided by 855?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/20 + (10 - (-23)\/(-5)). Solve 5*o = -a - 7, -o + 2*o + u = -2*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11992111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 8*o + 3. Let g = -10 + 18. Let j be u(g). Suppose -4*v + j*v + 3 = 0. What is the remainder when 17 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12130.74 and -2.\nAnswer: 24261.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*m**2 + 3*m + 4902 - 9808 + 4907)*(-2*m**2 + 2*m**2 + m**2).\nAnswer: -73*m**4 + 3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*f**5*q**2 + 1170457*f**5 + 10*f*q**2 + 22*f*q - 2*f + 16*q**2 - 2*q + 31 wrt f.\nAnswer: 580*f**3*q**2 + 23409140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - w**2 + w**3 - 301 + 144 - 4*w + 155 to u*w**3 + r*w + s + j*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -29*d**2 - 16*d + 56. Calculate y(2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l**2 - l - 44. Let b be o(-6). Let r = -274 + b. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/367627 or 1?\nAnswer: -6\/367627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y - 26*y - 19*y - 3*y - 18 to j*y + b and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 145931 equal to -0.086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 307305485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*f - 5*y + 160, 110 = 3*f + 4*y. Suppose 6 - f = -4*s. Determine z so that -6*z**2 + 8 + s*z - z - 5*z - 2*z**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2018968 divided by 144212?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*m - 140*m - 1 + 65*m in the form u*m + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 10.8 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5991 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.2, -0.3, -7 in decreasing order.\nAnswer: 2\/5, -0.2, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 1\/3*n**3 - 8\/3 + 4*n - 2*n**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 4*p + 11*p to h*p + a and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 356854*f*i + 7*f - 24*i - 70785 wrt f.\nAnswer: 356854*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3799000 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d - 23. Let u be n(-2). Solve 2*s = -5*z - 12, 4 = -4*z - u*s + 2*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d - 42*d = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/24 + 65\/168. Let d = -3679\/290 - -759\/58. Which is the closest to d? (a) 1 (b) 1\/6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-34)*v**(-6\/7)*v*v**(2\/81)*v*v*v*v**38*v*v assuming v is positive.\nAnswer: v**(44321\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*u - 239 + 3. Solve u*k - 71 = 5*f - 55, -4*k - 2*f = 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) 0 (d) 5 (e) 0.7 (f) 0.1251\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2898 + 2768.75. Round s to zero dps.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -16*t + 4. Suppose 4*m - 22 = 6. Let x(p) = -1 + 0 + m*p + 0 - 2*p. Suppose 7 = 2*c + 1. Determine c*h(w) + 10*x(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*q + 75, 3*c = c + 5*q + 64. Let l = c - 19. Suppose s + 2 = 4. Solve -3*z = -l*z + 4*g + 5, -15 = -5*z + s*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {g: 1, t: 1, j: 1, w: 4, k: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 4, y: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 981276442074171 - 1147272108844871811665\/1169163. Let j = p + -2\/129907. Let w = 92 + j. Which is the closest to 9? (a) -2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**4\/2 - x**3\/6 + 2*x**2. What is the tens digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**5 + 4*o**4 + 6*o**2 - 4*o + 4. Let y(t) = t**4 + t**2 - t + 1. Let n(u) = -q(u) + 4*y(u). Find the third derivative of n(r) wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*b - 43 = 0, -5*f - 20*b = -22*b + 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 3670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636726 is divided by 42445?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2954 - 118139\/40. Calculate the common denominator of 79\/20 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -92 (b) 5102 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 927471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o**3)*(-31*o**2 - 26*o**2 - 57*o**2).\nAnswer: -228*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 13*q**2 + 10*q - 11. Let k be n(-14). Suppose -13 = -3*t + 116. Let s = 73 - t. What is the highest common factor of k and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3 + 168884309*i**2*x**3 - 2*i*x**3 + 7*i + 27*x**3 + 11*x**2 + 23*x - 20 wrt i.\nAnswer: 12*i + 337768618*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4138*j**2 + 42*j**3 + 4138*j**2 + 42*j**3.\nAnswer: 84*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-1) + -3 + 1. Let l(q) = -q**2 + 26*q - 152. Let r be l(10). Calculate the greatest common factor of r and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21\/46?\nAnswer: -21\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8686 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: Rearrange 3*m - 7*m + 31*m to the form x + d*m and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/44541149 or 0?\nAnswer: 1\/44541149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44096?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + (-34)\/(-4). Let p = -6 + a. Let z be (p\/7)\/(2\/7). Which is greater: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*x + 18*x**4 - x - 1 - x wrt x?\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n - 39. Let f be a(7). Solve -r - 19 + f = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 18.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 20*g**3 - 4*g + 3*g - 18*g**3 + 15 - g**3 - g**3 + 3*g**3 + (2*g**2 + 5*g - 5*g)*(-12*g + 8*g - g).\nAnswer: -7*g**3 + 2*g**2 - g + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/40*(-20)\/12\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/2 + 303*o - 600.\nAnswer: -3*(o - 200)*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35978*k**3 - 71879*k**3 + 35921*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-14)\/3466344*-12). Calculate the greatest common divisor of 47 and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21870 is divided by 15380?\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -91*u**3 + u**2. Determine x(-1).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.52+-1949556\nAnswer: -1949553.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5834 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20469 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 times 87\nAnswer: 2.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5723.7 * 1.56\nAnswer: -8928.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = 4*d, 4*v - 6*d + d = -8. Let h(j) = 14*j**2 - 2. Let t be h(v). Let r be 2\/(-1)*t\/36. Which is the closest to -2? (a) -2 (b) r (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125411 (base 12) in base 8?\nAnswer: -1111015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5269 - 126347\/24. Calculate the common denominator of w and -1 - ((-27)\/(-4) + 3)\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*x = 32, -7*c = -3*c + 5*x - 38. Let q be 8\/c*(5 - 2). Factor -7*r + 6*r - q*r**2 - 1 + 2.\nAnswer: -(r + 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2909318 and 0.2005.\nAnswer: 2909318.2005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q = 312*q + 117*q - 13188 - 60. Let c(f) = -5*f + 3. Let n be c(-5). What is the greatest common factor of q and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63, 127, 191, 255, 319, 383?\n\"Answer: 64*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 85708753.\nAnswer: -5\/85708753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 4*k - 24, -3*s + 5*k = -39. What is the units digit of s\/(-4)*(-12)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 547 divided by -5390\nAnswer: -547\/5390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 17 (b) -1\/2 (c) -0.1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-7) + -2 + (-3)\/7. Solve 0 = -v*p + 6 + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15467.3 millilitres to litres.\nAnswer: 15.4673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 5 (c) -3 (d) 2\/19 (e) -0.1 (f) 540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q**3 + 30*q**3 + 5*q - 97 + 97.\nAnswer: -11*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -193 (c) 0 (d) 937 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 703437?\nAnswer: 5627496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 3*o**2 + 8*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 311051 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p. Suppose -610 = -5*t - p*t. Suppose t = 4*s + 22. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(360750\/107325) - 22.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -24560?\nAnswer: -24545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 666, 2300, 5032, 8862?\n\"Answer: 549*k**2 - 13*k + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.062 - 87.062. Let o = f + 85.2. Let l = o + 2. What is the closest to 2\/5 in -3, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 6. Let h(q) = -5*q - 45. Let c be h(-10). Calculate i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6158 and 67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 31. What is the remainder when 19 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3798517*r**6 - 528*r**2 + 1554*r wrt r?\nAnswer: 455822040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 11*v + 6 = -23*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i\/i**(-37))\/i)*i**6)\/(((i*i*i*((((i*(i*i**9)\/i)\/i)\/i*i)\/i)\/i)\/i)\/(i*i\/i**(-37))) assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.293487.\nAnswer: -4.293487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -65958 > -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38664533743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7626964 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -2\/820383 (c) -0.3 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -237 divided by 237\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -7. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3327 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6338214 and 87\/1408492.\nAnswer: 12676428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = h - 45 - 175, -226 = -2*d - 4*h. Suppose 240 = 3*g - 4*a - 134, 0 = 3*a + 6. Let i = g - d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 - j**2 + 2*j - 1. Let t(q) = q**2 - 4*q + 6. Let f be t(6). Suppose -21*d - 9 = -f*d. Let w be -1 - d - (-2)\/(-2). Calculate x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371495.67 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 3*f**2 + 3*f - 4. Let q(s) = -3*s**2 - 11*s + 1. Let o(u) = 2*u**2 + 5*u. Let z(l) = -5*o(l) - 3*q(l). Let v be z(7). Calculate b(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4329\/4 + 1082. What is the closest to -0.1 in 0.4, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 - z - 2. Let m be -1*3 + (-12 - -9). Let r be s(m). Suppose -10 = -r*g - 6. Solve -4*q - 5 = -g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.437 + 9.2. Let h = q - 0.033. Let w = h - 0.13. What is the second smallest value in -3\/5, w, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**5 - 15*x**4 - 9*x**3 + 16*x**2 + 15*x - 1. Let r(h) = -7*h**5 + 7*h**4 + 5*h**3 - 8*h**2 - 7*h + 1. Let s(q) = -3*f(q) - 7*r(q). Factor s(p).\nAnswer: 4*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*f - 8. Sort -1, f, 1 in decreasing order.\nAnswer: f, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41973 - 16582. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -662, -6138, -21008, -49970, -97722?\n\"Answer: -783*s**3 + s**2 + 2*s + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 0, 10, 22, 36, 52?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 + 0.01. Which is the nearest to y? (a) 2\/9 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87777?\nAnswer: 3, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10 = 4*k, -4*a + 2 + 2 = 4*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 + 19191*c**3 + 38394*c**2 = 0.\nAnswer: -2, 0, 6399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**2 + 4*h**2 - 1 + 14*h**2 - 6*h**2 - 16*h**4 - 2*h to the form l*h + a*h**4 + w*h**2 + j + z*h**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 - u**3 + 2352 + 5*u**2 - 2325 - 2*u. Let k be i(12). What is the greatest common divisor of 9 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -1*sqrt(1584) + sqrt(1584) + sqrt(1584) + 1 + sqrt(1584) - (sqrt(1584) - (2 + sqrt(1584)*-1 + sqrt(1584))))**2 - -2*sqrt(1584)*-2*-2)*1.\nAnswer: 240*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzee. What is prob of sequence zezz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by -1?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 2852 - 2815 + 3*v**2.\nAnswer: 3*v**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 672908 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhlu when four letters picked without replacement from llhhlhluuulluh?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 102.\nAnswer: -19\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*m + 65, -5*m + 0 = 25. What is the units digit of ((-5)\/(i\/(-42)))\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)\/((q*q**(-9)*q*q)\/q*q))\/(q**(-3\/5)*q**9\/q) assuming q is positive.\nAnswer: q**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1593, -6114, 0?\nAnswer: 1593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4) + 2 - 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17292.85 and -9.\nAnswer: 155635.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2691 and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(85)*3)\/sqrt(5) + -2.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 42*n + 320. Let o be a(-10). Solve 3*l + 4*z + 14 = o, z - 8 + 7 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2223 + -2091. What is the highest common divisor of 4026 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-266)\/(-19))\/(-350)*35\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23332223 (base 6) in base 5?\nAnswer: 141240300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232372874.999999232 - 232372964. Let f = 89 + n. Round f to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46442.6 - 0.66344?\nAnswer: 46441.93656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134592*v**4 - 6*v**3 + 346*v**2 - 328 wrt v.\nAnswer: 3230208*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29330, 117364, 264086, 469496, 733594, 1056380?\nAnswer: 1437854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 178080 divided by -6360\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -368*t + 349*t. Solve t = -3*d - 117 + 108 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.08, 0, 0.3?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -571*x - 44573. Calculate f(-78).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*c)*(c - 8*c - 14*c).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i + 754 + 1201 = 86 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.09912 - 31.12. Round d to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, 0.3, 72, -3\/5, -86?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/16*(-304)\/(-76))\/((-24)\/(-6))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -4*y**3\/3 + 3*y + 1. Let h(u) be the second derivative of -u**4\/12 + u**2\/2 + 4*u - 3. Determine 5*h(l) - r(l).\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*b + 12, 2*c + 3*c + 15 = -5*b. Suppose -q + c = -3. Suppose 0 = -2*i + q + 5. Solve h - i = 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 12. Let r be 1 + 10 - (2 - -1). Let y be q(r). Let d(s) = s**2 - 6*s + 2. What are the prime factors of d(y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*y**2\/7 - 1732998*y\/7 + 433250\/7.\nAnswer: -2*(y + 216625)*(4*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1 (c) 0.24 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v**(4\/3))*((v*v**(-2\/3))\/v)\/v)**(-8))**33)**(-46) assuming v is positive.\nAnswer: v**(-24288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/18)\/(27\/26327349) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32318 - -1130951\/35. Let d = -33\/7 - k. Which is the nearest to -1? (a) d (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 156\/27)\/(5\/((-30)\/(-6)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*d + 156 = 2*d, 0 = k + 4*d - 100. Suppose -4*r + k = -0*r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 + 22 + 12)*(4*o**2 + 0*o**2 - 3*o**2).\nAnswer: 97*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1 + 1 + b**2. Suppose -160*l + 7 = -159*l. Let c(p) = 1496 + l*p - 1496. What is t(c(o))?\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -78?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1015*v**2. Let r(f) = -922*f - 913*f + 58*f**2 + 1835*f. Give 87*r(y) + 5*t(y).\nAnswer: -29*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/34)\/((-2)\/((-20)\/3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 18. Put 1, 0, a in descending order.\nAnswer: a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/15, 0.5, -1\/5, 84081?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 + 1. Let r = b - 0.7. Let h = r + 1. Sort h, 2, -2 in increasing order.\nAnswer: -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 17*v**2 + 59*v + 30. Let f be n(20). Let k(a) = f*a - 3*a + 5*a - 5*a - a. Let y(h) be the second derivative of h**4 + h. Determine k(y(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.0019 - -34. What is f rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - 3. Let j(w) = -69 + 5*w**2 - 66 + 137. Give 5*j(y) + 4*n(y).\nAnswer: 5*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -16. Suppose -u + 46 + 18 = 3*k, -68 = -4*k + 3*u. Calculate the highest common factor of k and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*c - 18 - 2 - 35*c + 5*c + 2*c + 4*c + (3 - 2 + 0)*(0 + 0 + c).\nAnswer: 11*c - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 15) to base 16.\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 17*b + 21*b + 8*b.\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 10622?\nAnswer: 10624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9180677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000139701529 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) + sqrt(54)\/sqrt(486)) + -5.\nAnswer: -5 + 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 5, -5, -16, -2.\nAnswer: -16, -5, -2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 7*d**3 + 8*d**3 + 2*d - 2*d**2 + 1. Let b be h(2). Suppose 2*w - 294 = 4*g, w + 3*w + b*g = 577. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d + 1. Let a(q) = -20*q + 6. Determine 2*a(i) - 11*k(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21567, -43120, -64673, -86226, -107779?\nAnswer: -129332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 928 and 400.\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 9*i**2 + 5*i - 1178. Let x(v) = -4*v**2. Calculate y(x(o)).\nAnswer: -72*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 2:57 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4 - 10)*(-3*k + k + 3*k) + k + 3*k - k to d + b*k and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.031 - -55. Round l to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - -28)*(-2)\/(-12). List the prime factors of (-4 + n)*-239 + -5.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1795 = -4*i - b, 122*i - 124*i = 3*b - 885. Calculate the highest common divisor of 35 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 5. Let i be (-137)\/(-9) - f\/54. What is the tens digit of i + 3 + -2 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -4) + (-16)\/(-4). Let c = 26 + k. Suppose c + 171 = 6*a. What is the greatest common factor of 374 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + 0. Suppose 3*i - 4*i + 4*t = 3, i + t = 7. Suppose 0 = 5*f - m + 5, -6 = -5*f + i*m - 31. Which is the closest to -1? (a) r (b) -3\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -79\/3, 5, -5, -4?\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*p - 433*p - 12 = -867*p, -r - p + 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6909758.\nAnswer: 2, 179, 19301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 19 (b) 26\/9 (c) 3\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 12:42 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 12) in base 16?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.654 - -1.254. What is the smallest value in b, 580, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**3 + 195*q**2 + 170*q + 2367. What is a(-32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 6*l + 39*l - 2*l - 2*l**2 to the form u*l + w + j*l**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*b**5*n**2 + b*n**2 - b wrt b?\nAnswer: 660*b**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 = 29. Suppose 6*y + 42 = 3*y. Is x <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310 divided by 314.\nAnswer: 155\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824 = -6*y - 544. Let t = y - -227. Let h(n) = -n**2 - n - 1. Let z(a) = -3*a**2 - a - 1. Determine t*h(r) - z(r).\nAnswer: 4*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 6:15 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091239683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(637) - sqrt(637)) + sqrt(637) - sqrt(637)) + 5 + 2)*-5)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvvvvvvvvvvv. Give prob of sequence vv.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*c**2*h*k + 20*c**2*z + 12*c*h*k*z - 2*c*h - 13*c*z + k*z wrt c.\nAnswer: -440*h*k + 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = -4*c. Suppose -234 = -w - 5*k + c*k, 242 = w - 3*k. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82100149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -192 (b) -7 (c) 0.2 (d) 0.07 (e) -17 (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*t + 80, 0 = -5*h - 0*h - 4*t + 186. Suppose -5*j - 73 = -4*a, -4*a - 3*j - 1 = -h. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -9438\/7*c**2 - 3042\/7*c**3 - 24\/7 - 944\/7*c = 0. Calculate c.\nAnswer: -3, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14734 is divided by 186.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - c - 2 = 0, 0 = 6*c - c - 20. Let j = s + 17. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -5 (c) -3\/10 (d) 1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 6 - (-1 + 2). Solve 8*i - 25 = m*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*4*(3 - (-693)\/(-234)). Let j = -2.13 - -0.13. Let x = 5 + j. Which is the third smallest value? (a) 1 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 - 7*n**4 - n + 4 - n**3 + 2*n**2 + 0*n - 6*n**4 to i*n**4 + y + k*n + j*n**3 + r*n**2 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 2, p: 1, d: 1, u: 1, b: 1}. What is prob of sequence up?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552 + 1507 = -5*u + 3*c, 3*c = 2*u - 45 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**15\/a))*a*a*a**16)\/(a**(-2)\/(a\/(a\/(a*a*a*a\/(a\/(a*a\/(a\/a**(-4))*a))*a)*a))) assuming a is positive.\nAnswer: a**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52691 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 95388 divided by -31796?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 226\/(-10) - ((-16957)\/(-155) - 109)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 e when four letters picked without replacement from {b: 5, e: 7}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -59 - (14 + -44) - 21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-13\/5)\/(y\/y**(-9\/2)*y*y*(y\/(y*(y*y*y**(-1\/9)*y)\/y))\/y) assuming y is positive.\nAnswer: y**(-266\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 67. What is the nearest to 0.09 in 2, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175950000 to the nearest one million.\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 - 73 + 89*d + 2*d**2 - 84*d + 21*d**3 to c*d + a*d**2 + o + t*d**3 and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1052570300 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 + 82*y - 27. Is v(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155642 is divided by 167?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1482049010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 14c?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*t - 414 = 0, -3*k - 7*t = -2*t - 625. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1045 - 720. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1 + 24\/(-30)). What is the tens digit of ((-8 - v) + 11)*22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from windhhwu. What is prob of sequence hw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 175*h - 6. Suppose -12*p - p + 91 = 0. Is v(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1692, 3386, 5080?\nAnswer: 6774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2491523 - -0.1008324. Let b = -0.35 + o. Round b to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -282.59 and -1.55?\nAnswer: 438.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2735*l = 3018*l - 566 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 11\/11369, 5 in increasing order.\nAnswer: 11\/11369, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 + 7*v**2 + (3*v + 0*v - 4*v)*(2*v - 4*v + 4*v) + 4*v**2 + 3 - 3 + 512 - 512 - 17*v**2 - v**2 - 2*v**2 + 2*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8*-4 - -16. Let k = i - 13. Suppose k*r = -0*r + 20. Solve 0*n - r*n = -20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 97*h**2 - 2. Calculate b(1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.67768, 2\/23, 2\/13, 2\/15?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -6\/5*d**2 - 1\/5*d**3 - 12\/5*d - 53. Factor u(q).\nAnswer: -3*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*g - 3*u + 15 = -142*g, -5*g - 16 = 4*u. Which is the closest to 2? (a) 3\/2 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 4. Calculate r(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 66, 78, 96?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*a + 4*q, -6*a + 62 = -3*a - q. Let s = a + -11. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from lljlllljlllljjljll?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + s**3 - 4*s**3 + (-s + 11 - 11)*(0*s**2 - s**2 + 2*s**2)*(-1 + 4 - 2).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 = -11*g + 10*g, 0 = 4*j + 8. Solve 7 = -4*l + g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d**2\/7 - 30418*d + 42602 = 0.\nAnswer: -21301\/6, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = 0, -v + 0*a = -4*a + 16. Suppose 3*m - 114 = 5*b, m + 0*b - 2*b - 38 = v. Calculate the remainder when m is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 8804425 - 5901575 = 0. What is x rounded to the nearest ten thousand?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-10) + 48\/(-40)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1116 divide 118296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9 = 2*y. Let w = y + 3. Suppose w*g + g - 32 = 0. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + 3*h**4 - 11*h**3 + 9*h**3 + 0*h**4 - 2 + 2*h**2 to q*h + x*h**2 + z*h**3 + p + c*h**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:04 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46128, -46732, -47336, -47940, -48544, -49148?\n\"Answer: -604*g - 45524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29666.\nAnswer: 2, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n + 135 = 173*n - 83*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6 + 10 = 0. Let c = 96 + -476\/5. What is the closest to c in 0.2, -0.1, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -124*c + 492. What is l(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*a + 3)*(a**2 - a**3 - a**2) - 8*a**4 + 10*a**4 + 38*a**4.\nAnswer: 38*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 16) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/2*8\/(-10). Suppose 3*p + 1 = -l. What is the units digit of p\/((-9)\/6)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3854 * 12.28\nAnswer: -47327.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 + 10048*l - 90655. What is q(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77*h**2 - 412*h - 94158 wrt h.\nAnswer: -154*h - 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-56)*(-3)\/(-6))\/((18\/6)\/1239).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11332, 22736, 34136, 45532?\n\"Answer: -2*q**2 + 11410*q - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(-1*3\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6 and 65\/1754646?\nAnswer: 1754646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -7937?\nAnswer: -27\/7937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.1 - -26.408. What is b rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*x - 38, 2*i - 28 = -3*i - x. Let n be 3\/2 - (-1)\/(-2). Solve 0 = a - n + i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -19. Let n(q) = 2*q - 566. Give -n(y) - 10*p(y).\nAnswer: -2*y + 756","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100330450 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(6\/21 - 213\/721)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 680 = -x, -9*x = -5*x + 2*n - 2730. Is 34 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20290000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 15 - 6. Suppose -5*m = 3*a + 14, 5*a - m + 0*m - 14 = 0. Solve -s*q + 4 = -a*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3) + -1)*39. Let y = 16 + f. Solve 0 = 2*l - 5*w - 9, y*l - w + 9 = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 7*u**2 - 9*u + 15. Let v be f(5). Suppose 19591 - 1131 = v*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 8. Let l be i(-8). Suppose l = 5*q - r + 10, -q + 5*r - 24 = -2*q. What is the units digit of (-693)\/42*(q + 1 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 - 3*n - 25. Let k(x) = 26*x**2 + 16*x + 126. Calculate 3*k(t) + 16*m(t).\nAnswer: -2*t**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -8aaa?\nAnswer: -8aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-36)*8\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 38. Suppose -5*v = 25 - 5. Let h = -53 + 52. Sort m, v, h.\nAnswer: v, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**2 + 86*x**2 - 18*x**2 - 23*x**2 - 18*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -8. Sort z, 0.5, 2 in increasing order.\nAnswer: 0.5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12148, 23996, 35538, 46774, 57704?\nAnswer: 68328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2220946 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 7, -3\/5, -0.4 in descending order.\nAnswer: 7, 2\/11, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 7*z**2 + 2. Give a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818\/(-162) + 11 - 134518\/(-18) a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*l - 18 = 15, -3*z - 20 = -l. Let m = -12 - z. Sort 4, m, 8 in descending order.\nAnswer: 8, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -41?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 t when three letters picked without replacement from {t: 7, l: 2, h: 3}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let v(u) = 79*u**2 - 252*u**2 + 128*u**2. Calculate h(v(p)).\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267097205.\nAnswer: 5, 5557, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**8\/13440 + k**6\/1440 + k**4\/24 + 3*k**2. Let r(c) be the second derivative of b(c). Factor r(y).\nAnswer: -y*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzdidni. What is prob of picking 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 4*j**3\/3 - j**2 - 409. Let i(z) = -z**2. What is m(i(u))?\nAnswer: 4*u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*o**3 - 40*o**3 + 87*o**3 + o**2 - o to z*o**2 + m + y*o**3 + x*o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 5, d: 1, o: 4, u: 3, s: 4}. Give prob of sequence uneu.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 0.3 (c) -38775\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 17*s + 55. Let y = 112 - 111. Let b(r) = -r**2 - 2. Let i(p) = y*t(p) + 5*b(p). What is the derivative of i(l) wrt l?\nAnswer: -4*l - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**4 - 163*i**3 - 258*i**2?\nAnswer: 48*i - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 336*h**2. Let c(l) = 259*l**2. Calculate c(z(q)).\nAnswer: 29240064*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 4*f + 0*f)*(-3*f**3 + 2*f**3 + 3*f**3) - 4*f**4 + f**4 + 7*f**4 - 1 - 143*f + 143*f + 5*f**4.\nAnswer: 11*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.237 rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbxx when four letters picked without replacement from bxbbwxbwx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15366416 to the power of 1\/2, to the nearest integer?\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 1 + 7)*(-2 + 4 + 0)*(-2*v + 1 - 1 + (0*v - v - v)*(-3 + 4 - 3) - 3*v + 6*v - v) to l*v + u and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -138.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2211803, -4423605, -6635407?\n\"Answer: -2211802*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - o - 1 = 0, 2*p = -3*o + 8 - 11 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10559 and 67.\nAnswer: 707453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10. Let x = -3.5 + 3. Let j = x - u. Put j, -5, -1\/9 in decreasing order.\nAnswer: -1\/9, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10564200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (12 - 7) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.85 + 28. Let z = 0.15 - q. What is the nearest to 1\/4 in 0.5, 4, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:17 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*w**6 - 2*w**5 + 215*w**4 + 2*w**2 + 62266*w wrt w.\nAnswer: -1800*w**3 - 120*w**2 + 5160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5267000 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1195, 4387, 10021, 18355, 29647, 44155, 62137?\nAnswer: 83851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 348, 1\/10, 327, -9, 0.5 in ascending order.\nAnswer: -9, 1\/10, 0.5, 327, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3912350 rounded to the nearest ten thousand?\nAnswer: 3910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 626*k - 11814. What is m(-102)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19479 + 32764. Suppose -54*g + 85 = -2183. Suppose j = -37*k + g*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 0*f**2 + 3*f**2. Let v(a) be the second derivative of 0 + 0*a**2 + 3*a + 1\/3*a**3. Determine v(j(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1) + (1 - 2). Suppose -p*k - 36 = -92. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 4*l - 1. Let s be h(3). Let d = -5 + s. Let y(x) = -x + 22. Calculate the least common multiple of 2 and y(d).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = 3*h + 3*w, 5*w = h - 13. Let d = -12 - h. Is -5*(1774\/d + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466893836.\nAnswer: 2, 23, 5074933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 208 = 15*y. Suppose -2*l + 4*u + 14 = 0, 3*l - y = 5*u + 4. Which is the closest to l? (a) -1 (b) 1 (c) 0.3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 214 + 193 - 10*y**3 + 11*y**3 - 10*y**3 as m*y**2 + p*y**3 + q + h*y and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 - a - 42 = 0. Calculate a.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, r: 1, g: 2, t: 2, h: 1, e: 1}. Give prob of picking 2 t and 2 g.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -17, -29?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -32*u**3 - 4*u**2 - 27*u - 44. Let s be a(-3). Calculate the highest common divisor of 2076 and s.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y - 3. Let u(v) = 12*v + 10. Let t = -16 - -20. Let x = t + 3. Let n(c) = x*w(c) + 2*u(c). What is n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 216*p**2 - 2695*p - 28238. Let m(d) = 76*d**2 - 898*d - 9412. Let n(b) = 4*a(b) - 14*m(b). Determine c, given that n(c) = 0.\nAnswer: -6, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 109, 289, 613, 1123?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5)\/(s\/(s**21\/s))*(s\/(s\/(s**(-2\/53)*s)))\/(s\/((s\/s**(-24))\/s)) assuming s is positive.\nAnswer: s**(2012\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100010 (base 2) in base 16?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 28 = 62. Let j = -18 - v. What is the least common multiple of 16 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 - -362\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*l**4*t**2 + 6391*l**3 - 2*l*t**2 + 3*l*t + 4*l + 269*t**2 - 1 wrt l?\nAnswer: 276*l**2*t**2 + 38346*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**7\/420 + q**6\/90 + q**5\/120 + 5*q**3\/2 + 2*q. Let h(f) be the second derivative of w(f). What is h(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:22 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 28 = 10*s. Let u(m) be the first derivative of -4 + 0*m**2 - s*m**6 + 0*m + 7\/3*m**3 + 0*m**5 + 0*m**4. Find the third derivative of u(v) wrt v.\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 + 123. Let d(s) = -2*s**2 - 2*s - 2. Let r be d(-2). Sort q, -5, r in ascending order.\nAnswer: r, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.759211 kilograms in milligrams?\nAnswer: 4759211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9102021um to nanometers.\nAnswer: 910.2021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from aaaaabaa.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*o - 18 = -2*p, 4*p = 2*o + 14. Suppose -g = p*m - 43, 0 = -5*m + m - 5*g + 83. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224095 is divided by 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - 11636518.6929.\nAnswer: -11636518.7129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(sqrt(35)\/sqrt(112) - sqrt(5)) - (sqrt(180) + sqrt(180)*2)*4).\nAnswer: 282*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(343)*5 + sqrt(343)))**2 + sqrt(343).\nAnswer: 7*sqrt(7) + 111132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.838 in -0.2, 12, -168?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12858 divided by -6\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - r + 176*r**3 + 3*r**4 - 63*r**3 - 17*r**4 - 66*r**3 - 51*r**3 + 2 to t*r**2 + g*r + m*r**4 + l + d*r**3 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.927 + 1.327. Let r be 1\/(-2)*(-4 - 1 - -2). Which is the nearest to -1? (a) 2\/9 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - -366. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.61407 - 59.74\nAnswer: -25.12593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -6. Let n = 22.8 - 76.8. Let y = -66 - n. Which is the third biggest value? (a) 1\/2 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1548 less than or equal to -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -51*b - 337 - 167 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10238.00047088 + 10238. Round l to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxxiixxueuxi. Give prob of sequence ui.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/5))\/p*p)**43*(p*p**(-8)*p*p)\/(p\/(p**(1\/2)*p))*((p\/p**0)**(3\/7))**(-7) assuming p is positive.\nAnswer: p**(441\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) - (10 - (-81)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 1 e when three letters picked without replacement from ebemjeeej.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(1\/5)))\/v**(-3\/5)*((v*v**2)\/v)\/v**(-2))\/((((v**(-2\/15)\/v)\/v)\/v)\/v*v**4)**(-48) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83383019?\nAnswer: 3607, 23117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5819035 divided by -1163807?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m - 4*m)*(3*m**4 - 8*m**3 + m**3 + 2*m**3).\nAnswer: -6*m**5 + 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = 29*z + 121*z + 5850 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 5, p: 8}. What is prob of sequence rp?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2 - 10*r + 241. What is the thousands digit of z(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167620 at most as big as 3502858\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8400437 + -1.84. Round k to 6 decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4\/3 - n. Let s(c) = -4*c + 6. Let h(f) = -14*f + 20. Let g(t) = -3*h(t) + 10*s(t). Determine g(x(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5087 (base 9) in base 15?\nAnswer: -1184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13120303230 (base 4) in base 5?\nAnswer: -443432440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (4 + 1 - 3) - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -12.9. Let w = 19 - 27. Let p = w - -10. What is the nearest to r in 1\/4, p, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -80.59. Let q = 231166\/3 - 77055. Which is the second smallest value? (a) q (b) v (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-31460)\/(-1755) + (-2)\/(-27) and 266?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 6*c - 12, -8636*g + 8634*g - 4*c = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8691, 2\/9, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*b**5 - 10*b - 11*b**5 - 5*b**5 + 7*b**5 wrt b?\nAnswer: -460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37738?\nAnswer: 2, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-9)))\/k*k**8*(k**1)**11)**9 assuming k is positive.\nAnswer: k**243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*s**3 + 95*s**3 + 25 - 52*s**3)*(-5 + 0 - 2).\nAnswer: -35*s**3 - 175","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l + 3*l + l + (1 + 1 - 1)*(-5*l + 3*l + 5*l) + 47*l - 85*l + 45*l in the form x + f*l and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 5. Let j = 2 + 0. Suppose -5*h + a + 30 = 0, j*a = 3*h - 15 - 10. Solve -o*i - 10 = -5*n, h*i - i = -5*n - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 13. Let o(y) be the third derivative of y**4\/6 - 13*y**3\/6 - 248*y**2 + 11*y. Calculate 4*o(n) - 5*z(n).\nAnswer: -4*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.019, 3, 0.2, 9, -0.2 in decreasing order.\nAnswer: 9, 3, 0.2, 0.019, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**6\/24 - 3*n**5\/5 + 47*n**4\/16 - 13*n**3\/3 - 6*n**2 + 16*n + 202. Solve j(t) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(2*p**2 + 3*p**2 + 6*p**2) + 2*p**2 - 5*p**2 + 2*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -44.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866 a factor of 18861344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*t**2)*(-2*t - 6*t**2 - 12*t**2 + 8*t**2) in the form i*t**2 + n + a*t**4 + o*t**3 + b*t and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-8 - 0 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 18 = -4*x. 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 third derivative of 3312*m**5 - m**4 + 6*m**2 + 278*m + 2 wrt m?\nAnswer: 198720*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1886790?\nAnswer: 1886790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, 10, -21.3, -35, -2\/13 in descending order.\nAnswer: 10, 4\/11, -2\/13, -21.3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n + 1 - 5*n + 10*n. Let j(f) be the first derivative of 3*f**2\/2 - 2*f - 1. Let s(y) = -j(y) - 5*t(y). Calculate s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3083 + 0.4083. What is the closest to y in 0.2, -72, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59\/4 of a millimeter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110598 is divided by 110574.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/11)\/m**(-3)*(m*m**(-1)*m*m)**(-14) assuming m is positive.\nAnswer: m**(-277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 457?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.03 (b) 1\/4 (c) -15 (d) 0.6 (e) 7082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 152\/28 - 21\/49. Solve -2*p + g - 5 = -4*g, t*g + 10 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 - -195 - (4 + (10 - -16))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 48 = -25*k. Suppose 25 = -l + 5*y + 1, 0 = 4*y - 12. Calculate the remainder when (l\/(-4))\/((-6)\/(-80)) is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, r: 5, j: 7, h: 2}. Give prob of sequence qjjj.\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(17\/((-4641)\/63)). What is the greatest common divisor of r and 8047?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a factor of 184502056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/(-2)*11\/(-66)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 20\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - f - f + f. Calculate the lowest common multiple of a(2) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/39 and 49\/169.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 + 149.00000188. Round x to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30531870.\nAnswer: 2, 3, 5, 113081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1010111011100?\nAnswer: 1010111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f + 3. Let c(n) = 17*n + 9. Let m(w) = 11*a(w) - 4*c(w). Let k(j) = 4*j + 5. What is -4*k(v) - 7*m(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 500*o - 6600.\nAnswer: -4*(o - 110)*(o - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 5*a**2 + a + 3. Suppose 13*z = 63 + 171. What is the lowest common multiple of i(-4) and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4747060?\nAnswer: 2, 5, 71, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3996?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v + 9. Let n(p) be the first derivative of -p**4\/2 + 14*p**3\/3 - 2. Let z be n(7). Sort 3, 1, z, v in descending order.\nAnswer: 3, 1, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -948 + 471 + 0*b - b - 964 - 278 to the form q*b + i and give i.\nAnswer: -1719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1071 - 914. Suppose 22*d = -487 + v. Let s(l) = l + 10. What is s(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14564 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -24*q**2 - 2. Let d(s) = 4*s. Calculate z(d(u)).\nAnswer: -384*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:13 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 10\/(-4))*8\/12. What is the units digit of 3325\/15 - (1\/(-3) + x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 26 = -40. Let m(x) = x**2 - 5*x - 297 + 582 - 295. Give m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -925 in 5, 6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-60)*8\/((-4)\/(-2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2 + 2)*(5 + 9 - 5)*(q - 3*q + 4*q).\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1611 from -912.\nAnswer: -2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*g = -385*g - 15624. Calculate the greatest common factor of g and 2387.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-285)\/(-38)))\/(1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in meters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/17 in 42\/13, 10, -3, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/5 + 16*i**4 - 1092*i**3\/5 + 5408*i**2\/5 - 4394*i\/5.\nAnswer: -2*i*(i - 13)**3*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 68*b**2 + 63*b + 746. What is the tens digit of g(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21244 and 1356?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 110*n + 2993. Let u be c(49). Solve m - 9 = u*x, -130*x + 135*x = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q - 195*q = -1428840. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -24. Suppose 72*z - 71*z - 15 = 0. Solve -6 = -3*w + i*p, 2*w + w + 4*p = -z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k + 2*k + 3*k)*(-3*k + 2*k + 3*k) + k + 17 + k - 16*k**2 - 15)*(4 - 5 - 1)*(4*k**2 - 4 + 4).\nAnswer: 112*k**4 - 16*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 67 + 10 + -57?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 209*t*y + 43*y - 1 wrt t.\nAnswer: 209*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9968146 by -4984073.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 2. Suppose -11*g + 18 = -2*g. Let n(p) = -81*p + 33. Let v(u) = g*n(u) - 33*a(u). Let i = -1 + -1. What is v(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/192865 and -11\/520?\nAnswer: 20057960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.06 (c) 22797 (d) -2\/3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w\/((w\/w**(-1\/2))\/w*w)*w*w*w\/(w*w**(-9)))\/(w*w\/w**3*w)**(-5\/14) assuming w is positive.\nAnswer: w**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66464.9928674 - -66465. Round g to 4 decimal places.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a century in months?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/959 and -3\/1096.\nAnswer: 7672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 8.7, 4, 11 in ascending order.\nAnswer: -0.2, 4, 8.7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13784946, 55139793, 124064538, 220559181, 344623722, 496258161, 675462498?\nAnswer: 882236733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-83990)\/5*(54\/297 + (-30)\/44) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 8) in base 2?\nAnswer: 1101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/2 - 4*p**3\/3 - 3*p**2 - 2. Solve s(h) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25455 - -2163704\/85. Let h = 1\/17 + a. Factor 4\/5 + 18\/5*x**2 - 14\/5*x - 2*x**3 + h*x**4.\nAnswer: 2*(x - 2)*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + -1 - (-13 + 1 + (-2 - 7) + 12)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 + 148. Let w(c) = c**2 - c**2 - 2 + 9*c - 2*c**2. Let a(x) = 28*x - 59*x + x**2 + 1 + 26*x. Calculate v*w(n) - 11*a(n).\nAnswer: n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 8) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 5:32 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + -2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010290498 to six dps.\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 114. Suppose 448*d - 36 = 436*d. Calculate the highest common divisor of l and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41935 (base 16) in base 4?\nAnswer: -1001210311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44633, -44643, -44653, -44663?\n\"Answer: -10*h - 44623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(5\/2)*u)\/(u*(u*u\/(u**(4\/3)*u))\/u*u*u)*(u**(-1))**(-11\/4) assuming u is positive.\nAnswer: u**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-1 - 3 + 1)*(-2 + 3*c + 2)*(-298 - 105 + 51).\nAnswer: 6336*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 552 and 2376.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -21*l - 1. Let b be k(3). Let i = 153 + b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from chjjhcjjjkkk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 945 and 104769?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1261, 1611, 1961?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*z + 8. Let b(d) = -d**2 + 4*d + 2. Let g be b(4). Suppose -g*w + 13 - 1 = 0. Calculate the least common multiple of z and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -148, -9, 5.\nAnswer: -148, -9, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 3:13 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 9*m**2 + 9*m - 4. Let r(c) = -c**3 - 3*c**2 + 4. Let w be r(-3). What is the remainder when 1\/(-1 - w\/(-3)) - -10 is divided by s(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163590 is divided by 23346?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14310 times -0.48?\nAnswer: -6868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.2 - -14.2. Which is the third biggest value? (a) m (b) 5\/3 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4099772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/105 + 3*s**6\/20 - 7*s**5\/10 + 11*s**4\/12 + 191*s**2. Solve o(u) = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 0*i + 3*i)*(124*i**2 - 39*i**2 + 60*i**2) to the form n*i + p + m*i**3 + q*i**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122471317 to the power of 1\/4, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/136)\/((4\/10)\/(1400\/(-125)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.1 + -30.1. Which is the nearest to -0.2? (a) 8 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -153*o + 76*o + 79*o. Let c(j) = 15*j**2. What is c(i(g))?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0\/(-2)) + 1*442\/208.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047 divided by 349?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.455 + 0.675. Let o = 1.33 - r. What is the closest to o in -2\/21, -0.2, -30, -0.3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1041282 - 1041282 + 546*r**2 + (-3*r + 3*r + r**2)*(-1 + 1 + 2).\nAnswer: 548*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.397809km?\nAnswer: 397.809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(164\/410). Which is the nearest to 0.2? (a) -0.5 (b) 48 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 26 - 89 - 4*t + 39.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2958 and 510.\nAnswer: 14790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-3*v**2 - 2*v**2 + 4*v**2)*((0 - 4 + 1)*(8 + 2*v + 4 + 12) + (6*v - 4*v + v)*(2 - 3 - 2)).\nAnswer: 30*v**3 + 144*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-60)*4 + 2746\/10. Let n = 279 - p. Sort -2, -5, n in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 775090 - 473067. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 44?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(sqrt(3456) - (sqrt(3456) - sqrt(3456)*2)*-3))\/((sqrt(768) - -4*sqrt(768)*1)*5).\nAnswer: 6*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1356023?\nAnswer: 1356025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17628187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (49 - 22) + -8?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -38 (b) -6 (c) -29 (d) 38 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.401 years in centuries?\nAnswer: 0.32401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 5, t: 1}. Give prob of picking 2 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**4 + 599800*z**3 + 3798384*z**2 + 6597000*z + 1799172 = 0. Calculate z.\nAnswer: -49977, -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -101, -378, -921, -1820, -3165, -5046?\nAnswer: -7553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*w - 11 = 0, 4*d - 4 = -2*w + 2. Let u = d + 1. Put -3, -1, u in ascending order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -3. Let b = c - -52. Is (4\/1 - b)\/(2\/46) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 y when four letters picked without replacement from {t: 1, y: 9, s: 5, d: 5}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -64692 at most -64692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 669, 1183, 1911, 2925?\nAnswer: 4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 11*b**2 + b + 15. Let c be d(-11). Suppose c*z - t - 11 = -0*t, -2*z - t + 7 = 0. Factor 21*j + 14*j**z + 19*j + 10 + 3 + 3 - 52*j**2.\nAnswer: 2*(j - 2)**2*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1828876*h. Let u(c) = c**2. What is z(u(q))?\nAnswer: -1828876*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 83981407 + 83981407.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 - 2*u**2 + 5*u**2)*(7 - 1 - 3)*(0*u - 3*u + 5*u)*(7 - 2 - 2) in the form p*u + z*u**2 + y + l*u**3 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14 - 3) + 26 - 12 - (-2 - -10)) + -54?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 30866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 21. Let n(s) be the second derivative of -s**5\/20 - 3*s**4\/4 - 7*s**3\/3 + 2*s**2 + 28*s. Let j be n(-7). Put o, j, -12, -1 in ascending order.\nAnswer: -12, -1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*f + 42*f**2 + 42*f**2 - 86*f**2 - 633*f as n + b*f**2 + a*f and give a.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(126)\/sqrt(2)) + 1)**2 + (3*-2*sqrt(448))**2.\nAnswer: 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -99*a + 131. Let y(k) = -50*k + 66. What is 6*c(b) - 11*y(b)?\nAnswer: -44*b + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001 + -10010000111?\nAnswer: -10000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17287694 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 2*n**2 + 465*n - 465*n.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptt when three letters picked without replacement from pptptpptf.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*q - 14, -2*g + 14 = -8*q + 12*q. Suppose -m + 8 = -3*j, 7*j - q*j = -2*m - 14. What is the third biggest value in 0.2, -0.15, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9957885 divided by 8\nAnswer: 9957885\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 r when four letters picked without replacement from pppppppppprrppprpp?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(3 + -6) + 6 + -3. Let p(a) = 3*a - 3*a + a - 3. Let s be p(o). Solve s*b - 10 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -f - 5*t, 3*f + 4*t = 145 + 383. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) - 12\/(-42). Suppose 0 = -5*o + 6 + 9. Sort j, -2, o in descending order.\nAnswer: o, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 18 = x. Let o = -17 - x. What is the common denominator of o and (((-1155)\/9)\/5)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275987 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3101464 (base 12) to base 14.\nAnswer: 131a176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -1205 + 1226 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27060 divided by -6?\nAnswer: 4510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 5*x - 13. What is l(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + -174. Let i = -87 - q. Sort -5, 3, -1, i in descending order.\nAnswer: i, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)*-6)\/(sqrt(11) + -5*sqrt(275) + sqrt(11)).\nAnswer: 18*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 462592200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjrrmrmrmm. Give prob of picking 1 m and 1 j.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 12, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6234, -24925, -56070, -99669?\n\"Answer: -6227*l**2 - 10*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000111 (base 2) to base 3.\nAnswer: 21101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 3 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q**5 + 57*q**3 + 10*q**2 + 2041*q - 4 wrt q?\nAnswer: 200*q**3 + 342*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 18. Let l be 414\/30 + 3\/d. Suppose -l = -7*y + 28. Solve -5*g - 16 = -y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37746189*z**3 - 8079512*z + 3 wrt z.\nAnswer: -226477134*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*v - 19092 = 63*v - 371*v + 19820 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2418)\/(-2015))\/(1\/60*9*1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b*b*b**(-3\/2)))\/b)\/b)\/b)**37*b**(-8\/7)\/(b\/(b**6\/b)) assuming b is positive.\nAnswer: b**(-1773\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21615*f + 65. Calculate m(0).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n**4*n)*n**3*n**10*n\/n**1*n assuming n is positive.\nAnswer: n**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6 or -4041\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.039 - 27.039. Let l = s + 30. Let p = 8.4 + -8.2. Sort p, 2, 0.11, l.\nAnswer: 0.11, p, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(4) + sqrt(588)\/sqrt(3))\/(sqrt(2) - (sqrt(10)\/(sqrt(5)*1 + sqrt(5)) - sqrt(2)) - sqrt(2)))**2*5.\nAnswer: -160*sqrt(2) + 2565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.1082.\nAnswer: -0.02164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**5 - 12194581*x**4 + 2*x**2 - 108140267*x?\nAnswer: 60*x**3 - 146334972*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.91 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3\/(-2))\/(48\/160)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6870942m to centimeters.\nAnswer: 68.70942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -h - 3, -h + 6 = 4*v. Find the common denominator of -1 + 1 + 83\/10 and h*-23*3\/66.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -1 - (-4 + 3). Suppose 7*l - 562 = 5*l - y*i, -1416 = -5*l + i. Suppose -68 + 6 = -k + r, 4*k = -3*r + l. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145144 (base 7) to base 2\nAnswer: 110111000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 229, 284, 441, 754, 1277, 2064, 3169?\n\"Answer: 9*k**3 - 3*k**2 + k + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = h - 280. 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 1154 is divided by 104.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 2*s - 1. Let r be q(4). Let v = -21 + r. Let a(j) = -j + 4. List the prime factors of a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.7, 110568, 1\/2, 0?\nAnswer: 110568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331841841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3030*c**2 + 494*c + 1954. What are the prime factors of d(-4)?\nAnswer: 2, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obosbosowwwsooowosob. What is prob of picking 2 w and 1 s?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from uocuuaacaatucku?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 24 = 4*z, 0 = 2*z - 0*z + 2*x - 20. Suppose -z = -2*c - 2*c + 3*f, -4*f + 6 = 3*c. Solve -c = 2*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 50*n + 269. Let b be j(6). Sort b, -3\/5, 0.2, -0.4 in descending order.\nAnswer: b, 0.2, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 78*k - 56*k + 309 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-2 + 160\/26). Sort b, 1, 2\/17 in increasing order.\nAnswer: b, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 16*r**2 - 152*r - 481. Determine t(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101)\/(-40) + -2)\/(3969\/2268)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167*d**2*w + 101412307*d**2 + 249302*w wrt w.\nAnswer: -167*d**2 + 249302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.889 + 44. What is u rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60224 (base 10) to base 8.\nAnswer: 165500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:00 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 36. Let l be -6*(b\/6)\/(-2). Let u = l - -6. Solve -4*m = -u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 661 + -13219\/20. Let a(t) be the third derivative of -7*t**2 + 0 + 0*t**3 + 0*t - u*t**5 + 5\/24*t**4. Find the second derivative of a(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2461 + -2446. Let t(u) be the first derivative of -15 + 5*u**2 - 5\/3*u**3 + n*u. Suppose t(q) = 0. Calculate q.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 16*v**2 - 9. Let h be l(-16). Which is greater: h or -88\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 199157816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -141*v + 7371. What is m(55)?\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q - 29900 = -45*q. What is the highest common factor of 325 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = -2*x + 11*u + 56, u = -3*x + 59. What is the remainder when 339 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113162 and 46409846?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmh when three letters picked without replacement from haahamzamzzaalza?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3161 - -2220. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 23. Find the common denominator of t and 53*(-6)\/40*2\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z. Let l(k) = -6*k**2 - 8*k**2 + 24*k**2 - 13*k**2. What is n(l(d))?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + 4 - 10) + 25*746 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*v**5 + (-127*v + 28*v**2 + 127*v)*(-26*v**3 + 66*v**3 + 44*v**3).\nAnswer: 2354*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-144) - 92\/(-258). What is the fourth biggest value in -4, v, -26, -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/40 + (-8)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 92*u + 463. Let w be b(-5). Solve 0 = 5*z + w*j + 31, -2*j = -4*z - 20 + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) + (-8)\/(-3). Suppose 48*j - 755 = 43*j. Suppose -j*q + 160*q - 18 = 0. Calculate the greatest common factor of l and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 49.9. Let d = t - 9.9. Let j = 763484 - 763485. What is the closest to 0 in j, d, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8967)\/(-1372)*336\/18?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -118, 17, 242, 557, 962?\n\"Answer: 45*l**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 309*x - 314*x. Let v(g) be the second derivative of -1\/4*g**4 + 0*g**2 + 4*g - 1\/10*g**6 + x - 3\/10*g**5 + 0*g**3. Find p, given that v(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7715*n - 6790 + 6790 + (-2 - 1 + 5)*(0 + 2*n + 0) + 4*n + 0*n - 5*n to k + i*n and give i.\nAnswer: 7718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 344 divided by -4\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**1)\/k**4)\/(k**8*k**(-1)))**5)**(-2\/47) assuming k is positive.\nAnswer: k**(90\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + sqrt(7))*5 + 0.\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z + 22*z + 10*z**2 - z + 0*z.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let o(w) = -w + d*w**2 + w - w + 0*w. What is o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26234 - 26221. Solve 3*p - d = -4*i, -12*p + 10*i = 9*i + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t**4 + 508*t**3 + 6660*t**2 + 18900*t - 108000 = 0. What is t?\nAnswer: -15, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1683874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15.01. Let r = 1511 + -1523. Is r not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + 3*u**2 - 4*u**2)*(u - 4*u + u)*(u**2 - u**2 - u**2).\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. Suppose -o*z + 20 = z. Suppose 3*n - z = -2*r, 4 - 10 = -3*n - 3*r. Solve -4*s = 3*m + 3, n = -9*m + 4*m - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**19*x*x**(-4\/17)*(x**7)**(-17) assuming x is positive.\nAnswer: x**(-1687\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 16, 23, 28?\n\"Answer: -y**2 + 12*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 32*k**2 - 63*k - 17. Give a(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3 - 1085*f**2 + 153*f + 10 wrt f?\nAnswer: -12*f - 2170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d0d70 (base 14) to base 9.\nAnswer: -2864172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - s - 75 = -10, -2*n + 2*s = -42. What is the remainder when 79 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -3 + (-1 - -2). Suppose -x*t - 93 + 9 = -4*b, 0 = 4*b - 4*t - 84. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*j**2 - 2 + (-3 + 3 + 7*j)*(-5*j + 2*j + 4*j) + (0*j + 2*j - 5*j)*(2*j - 5*j + 2*j)*(4 - 1 - 2).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 1292 - 1267 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-24)*4*-3. Suppose y*d + 0 = -4. Is ((-446)\/(-1))\/(4 + d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + 7\/(-4). Let z be -4 - -2 - 5\/b. Suppose 4 = -4*s - 5*x + 14, 0 = s + x - 2. Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*14 - -1)*-1. Suppose f - 35 = -2*p. What is the remainder when 460\/15 - 1\/(-3) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-6 - -11) + (25 - 9) + (0 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-36))\/(-1*4\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, h: 6}. Give prob of sequence bhb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/24*(-14)\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.733 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/22 - (-37960)\/(-4015).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 14*c**2 - 10*c - 112. What are the prime factors of i(-12)?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24833.75131 + -24834. Round w to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 0.1472771231?\nAnswer: -1.1472771231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + c**2 + c - 2. Let u be f(1). Let o be 5 + (-10)\/(u + 3). Solve 2*r = o*r + 2*d - 3, -41 = 5*r - 4*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -860b2 + e2?\nAnswer: -85ec0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 11*l**2 - 9*l + 20. Suppose u = -4*y - 10, -u = 98*y - 102*y + 10. Determine s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -28)\/((-8)\/138560). Round r to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30829*v + 30820*v - 72 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 425828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*l**2 - 833*l**2 - 56*l**2.\nAnswer: -1412*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179572627 to the power of 1\/2, to the nearest integer?\nAnswer: 13400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -865.925 to the nearest 10.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 103362*r**3 + 890205219*r**2 - 1780720536*r + 890411952.\nAnswer: 3*(r - 1)**2*(r + 17228)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000541658 to 6 decimal places.\nAnswer: -0.000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 2 + 0)*(3*r + r - r) - 2*r + 3 - 3 as c*r + t and give c.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.11+-1518\nAnswer: -1517.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gic when three letters picked without replacement from gijagaiiccgi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-3\/2)*g*g)))\/(g*g\/(g**(-2)*g))*(g*g**3*g*g*g*g)\/(g*g\/(g**(-1\/3)*g)*g) assuming g is positive.\nAnswer: g**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6771*y - 6766*y - 57*d + 627, -33 = -3*y - 3*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/12 - 5*i**3\/3 + 5*i**2 - 208*i. Suppose 0 = o - 5*a - 10, 0 = -4*o - 5*a + 40. What is d(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91\/4 of a decade?\nAnswer: 2730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snjjjnnnjjs. Give prob of sequence jsj.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3104*f + 105530. Determine c(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 29 = -7*c, -2*c + 14693 = 2*t + 14691 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/7 - 664*q\/7 + 662\/7 = 0. Calculate q.\nAnswer: 1, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 909 or 87?\nAnswer: 909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**2 - 7*q**2)*(-11*q**2 + 19*q**2 - 3*q**2) - 34*q**4 + 38 - 39 - 53*q**4.\nAnswer: -97*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 7*z**3 + 0*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93200392.\nAnswer: 2, 17, 685297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 4, q: 1, f: 1, p: 6}. Give prob of picking 1 p and 1 a.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.066 + -0.166. Which is the smallest value? (a) 3 (b) u (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*-1*(-6)\/64?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*y - 458 = 0, -q + 4*y - 196 = -3*q. Suppose -3*h + 7*h + 5*k - q = 0, -4 = -2*k. Is (-265)\/(-2)*8\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (147\/(-28) - -6)*20. List the prime factors of ((-15)\/c)\/(0 - 2\/420).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 152*x**3 + 2732*x**2 + 5928*x + 3042.\nAnswer: 2*(x - 39)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96512 and 1280?\nAnswer: 482560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 29 = 5*f, -4*c + 16 = -f. Find the second derivative of -7*l**c - 5*l**2 - 7*l + 5*l**2 wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288) + sqrt(288) + sqrt(288))*2 + 2.\nAnswer: 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(216)\/(sqrt(128) + sqrt(8) - sqrt(8)) - ((1*sqrt(3267) - sqrt(3267)) + sqrt(3267) + sqrt(3267)))\/(sqrt(324)*1*-6*-5).\nAnswer: -17*sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.145, -6667, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5 = -s - 2, 0 = 4*s + 2*a - 7 - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 125 = 81. Solve -16 = c*j - 7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421, 2084, 4881, 8818, 13901?\nAnswer: 20136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28893?\nAnswer: 3, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 3\/7 (b) 1 (c) -885 (d) -30 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*v**4\/3 + 3227*v**3\/3 - 4697*v**2 + 1314*v = 0. Calculate v.\nAnswer: 0, 3\/10, 146\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5910 (base 10) to base 13.\nAnswer: -28c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 - 4)\/(-3*(-70)\/84)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -9*v - 11\/2*v**2 + 6. What are the prime factors of f(-10)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4849 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2876 is divided by 573.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 3, 558780.\nAnswer: -65, 3, 558780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73.77 + -1.14. Let k = -72.153 + 0.153. Let z = k + m. Round z to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 39473\/5 or 6.1?\nAnswer: 39473\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (-3 - 14)) + 19 - -60?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r**19\/r)\/r)\/r)*r**(-33\/7))**(9\/8) assuming r is positive.\nAnswer: r**(-621\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -10 + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 10. Let t be g(6). Let z be (-4)\/(-36)*-3*-45. Suppose -z*q + t*q = 775. List the prime factors of q.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7825708984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z + 6*z. Let n be (z + -3)*(-2)\/8. Let q(t) = -t + 1. Let o be q(0). Are o and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-2)*(-143 - -7 - 6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 2*y**2 + 8*y + 10. Calculate w(6).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.14, -0.5, 0, -1.1, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/sqrt(160) + (sqrt(208) + -2)**2 + -3 + 3*sqrt(52).\nAnswer: -39*sqrt(13)\/4 + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 2\/5, -1.429, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**3 + k**2 + 3*k**2 + 0*k**3 + 3*k**3 as b*k + f*k**3 + i + y*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:36 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6615243?\nAnswer: 3, 491, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 9*h**2 - 5*h - 11. Let g = 100 - 99. Suppose 57 = 7*i + g. Give r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((9\/(-3))\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 1338 = 384. Is u a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 - f**2 + f + 1. Let i be o(-1). Suppose 6*v - 18 = i*v. Suppose 2*k + 3*k**2 - v*k**2 + k**3 + k**4 + 2 - 3*k + 0*k = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) 2\/19 (c) 0.211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 + -161. Suppose 3*l = 3*v - 6 - 12, -4*l + 12 = a*v. Let c(m) = 6*m - 7. Let u(i) = -3*i + 4 - 2 + 1. Determine l*c(p) - 5*u(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 896828785 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (192\/(-512))\/(2142\/(-18572)). Let b be (1\/(-204))\/(7\/2). Let m = d + b. Calculate the common denominator of -34\/21 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(sqrt(448) + 1)**2 + sqrt(448))*-6 - (((sqrt(336) - sqrt(21))\/sqrt(3) - (-3 + 3 + sqrt(7))**2) + 2).\nAnswer: -8065 - 339*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 30*v. Let d(n) = -69*n**2 + 55*n - 22. Let c(g) = -23*g**2 + 20*g - 8. Let z(r) = -11*c(r) + 4*d(r). Give z(t(b)).\nAnswer: -20700*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9152.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 596*h + 600*h + 15 = 0, 3*h = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.53 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 4. Let z be 9\/36 + (-38)\/(-8). Let n(q) = -5 - 5*q + z - 2 + 6*q. Let b be n(5). What is r(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3357937 to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 3*y - 2. Let v(k) = -k**2 + k. Let l(p) = -r(p) + 3*v(p). What is the first derivative of l(c) wrt c?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = -5. Suppose -d = c - 3*c. Let u = 3 - c. What is the remainder when 6 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (808\/68)\/(44\/3179*306\/36).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (6 + -1 + (-16 - -8))) + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 - 1187 = -51*n. Calculate the remainder when 169 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(5 + -3 + sqrt(19)))**2.\nAnswer: 180*sqrt(19) + 909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18108294?\nAnswer: 2, 3, 233, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -81. Suppose -2*n = 5 - b. Suppose 2*l = 5*f - 0*l - 12, 4*f - 6 = -2*l. Calculate the smallest common multiple of n and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a**2 - 12*a + 14. Let x be z(1). What is the greatest common divisor of x and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 361254585816554538709\/622362 - 580457331611898. Let n = h + -1\/47874. Let o = 144 + n. Put 1\/2, o, -2\/3 in ascending order.\nAnswer: -2\/3, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -12\/7 (c) 20 (d) -182\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 0 - 2 - 4*z**3)*(-4 + 4 - 6*z**2).\nAnswer: 12*z**5 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - -50. Let n be (v*32)\/((-4)\/(-1250)). What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603919 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 0 = 3*v - 4 - 26. Suppose -s + v = s. Suppose 2*c = 5*j - 45, 0*j - s*c = 2*j + 11. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + n - 14 = 0, 4*t = -n + 4 - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10563491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 392465 and 995340?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1026 - 1028. Sort 1\/2, d, 3\/182 in ascending order.\nAnswer: d, 3\/182, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (205\/20)\/41*-11?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.31?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 5, -1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4780 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 z = -2\/6091 + -66853\/450734. What is the common denominator of 49\/444 and z?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 551821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1505 + -1505. Solve -2*c + 2 = 0, -2*h - 4*c + 12 + 0 = b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3\/5 + 171004*v**2\/5 - 1025852*v\/5 - 239372 = 0. What is v?\nAnswer: -1, 7, 42745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269985 a multiple of 1475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/3)\/((-2)\/1). Let u = -29\/15 + 13\/5. Let s = -511 + 509. Put s, u, o in descending order.\nAnswer: u, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 16) to base 3.\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**4 - x**2 - x**4 + 4*x**4 + (x - x - x)*(-2*x**3 + 0*x**3 + x**3) + (4*x**3 + 5*x - 5*x)*(-7*x + 2*x + 3*x) + 3*x**4 - 4*x**4 + 2*x**4.\nAnswer: -8*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 10333600.\nAnswer: 10333600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 - -97. What is the nearest to -1\/4 in 3\/5, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) 0.4 (c) -1 (d) -179 (e) -2 (f) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73.9547 - 0.0453. Let a = o - -35.5. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-660)\/18)*-9*(-16)\/72*-65.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 2*g + 1. Let m(t) = -6*t**3 - 10*t**2 - 6*t - 14. Determine m(o) - 5*x(o).\nAnswer: -6*o**3 - 16*o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*h - 2*h = 3, 3*h = s + 5. Is (1\/s)\/((-5)\/(-105)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2. Let m(r) = -5*r. Let v(n) = -11*n. Let u(a) = 9*m(a) - 4*v(a). Give u(i(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-3*1)**2 + 3 + 1 + sqrt(19) + -5.\nAnswer: sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8167655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*c - 3. Is 28 a factor of -8*35\/(-15)*(c - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 34 = -5*r. Let c = r + -4. Let a = 264350 + -264349.9. What is the third smallest value in -0.03, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0 + 6, -5*s - 15 = -c. Solve -2*x - 48 + 54 = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**4\/4 - j**3 + 2*j**2 + 4*j + 10. Let z be g(-4). Which is the biggest value? (a) 2 (b) z (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-5) - ((-9810)\/(-675) + 33))\/((-64)\/6) and (0 - 254\/(-180)) + -1.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496527751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501*r = 1004*r - 387*r - 91074 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11617*y + 1577*y + 424 - 424 + 36175*y.\nAnswer: 49369*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182741984?\nAnswer: 2, 3, 4106743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342430 (base 5) to base 10.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {o: 1, l: 1, i: 1, k: 4, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.107543 and 1.33?\nAnswer: -0.14303219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 5*w**2 - w. Let c(q) = 3*q**3 + 9*q**2 + 2*q - 1. Calculate 3*c(o) + 5*h(o).\nAnswer: -o**3 + 2*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 17*w**2 - 33*w**2 + 13*w**2. Let o(k) = -28*k. Give o(d(l)).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -36 in decreasing order.\nAnswer: 1, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 - -120. Let w = 9662 - 9613. What is the remainder when y is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 2\/(0 - 2)*-1763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 2*s**2 + 4*s + 1. Suppose 0 = -5*i + i + 8. Let y(p) = -9*p - 6*p**3 - i + p**3 + 4*p**2 + 0. Give 9*x(f) + 4*y(f).\nAnswer: -2*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 2022132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -618.561 + 594.6. Let a = l + 24.1. Let n = -0.1390059 + a. Round n to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 + 0.1688. What is t rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -67*l**3 + 4*l + 1. Let d(p) = 68*p**3 - 5*p - 1. Let a(o) = -6*d(o) - 7*t(o). Let m be a(1). Suppose -m - 28 = -3*y. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let u(x) = 154*x - 154*x + 2*x**2. What is h(u(v))?\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*2\/30 + 1175\/(-705). Let r be (-4)\/(-8) + (-5)\/(-2). What is the fourth smallest value in c, r, -5, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 568050.6482 to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2 = 228*j - 233*j, j = -2*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 849126 and 35346?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1 (c) 60.7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - 10.6. What is the biggest value in 1, 0.3, -0.2, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 - -5.6620839?\nAnswer: 5.4820839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 174917625 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-242135)\/50450 - (-2)\/4. Let q = 1\/2018 - t. Let c = -24 + 39. Calculate the common denominator of c and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/302 and -101\/2.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -356?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611*r + 2499*r + 259*r + 30423 = 275087 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.272348 and 4?\nAnswer: 1.089392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/6 + 5*j**3\/6 - j**2\/2 - 17*j\/6 - 5\/3.\nAnswer: (j - 2)*(j + 1)**2*(j + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 51 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195 + 210. Let t be 4\/14 - (-264)\/7. Suppose t + 22 = k. What is the highest common divisor of k and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u + 16. Let p be q(-17). Let g = p + 525. Suppose 23 - g = -2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, s: 1, a: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 779.9 - 1007. Let u = 216 + a. Let v = u - -11. Which is smaller: 30 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 716 + 0?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 886 = -3365. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.31 and 0.035774?\nAnswer: 4.274226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -10*m - 64. What is the tens digit of -21*(-4 + 2 - m\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33797464 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 79. Let g be c(-16). Let u be 54\/4*40\/30. Suppose -3 - 17 = -5*s, 4*s = -2*l + u. Calculate the greatest common factor of l and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 10, -4*f + 2*t = -f + 22. Let o = f - -7. Suppose -136 = -5*n - o*i, -2*i = 5 + 1. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and -128?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - s - 3*s + (4 - 4 + 3*s)*(-1 - 1 + 1) - 2*s + 3 - 3 + 2*s - 3*s - s + 2*s - 3 + 3 + 1 - 3*s + s + 4*s.\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**2 - 18*r - 14 - 5 + 21 + 8*r**3 - 6.\nAnswer: 2*(r - 2)*(r + 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100000110010100 (base 2) to base 16\nAnswer: c194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (3 + -5 + 11 + 0 + 3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-1)))**(-5)\/((h\/(h*h**1*h))\/h*(h**(-6)\/h)\/h)*((h\/(((((h**6*h*h*h)\/h)\/h)\/h*h)\/h*h))\/h**(-2\/7))\/(h**(-1\/3)\/h*h*h**4) assuming h is positive.\nAnswer: h**(139\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 214*y - 18 + 6*y**2 - 5 - 214*y wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20473*o**4 - 6*o**2 - 4*o - 6650 wrt o.\nAnswer: -245676*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 255927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (377 + v**2 - 377)*(-11 + 15 - 78*v - 3) to g*v + p*v**2 + b*v**3 + j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35974*b**5 - 3*b**2 + 116*b - 7.\nAnswer: 2158440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.818352 - 13.178055. Let o = -4.36 - f. What is o rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/13 + 7860*w**4\/13 + 47234*w**3\/13 - 7860*w**2\/13 - 47232*w\/13 = 0.\nAnswer: -6, -1, 0, 1, 3936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 12:47 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -1 - 8*z + 1. Let n(s) = s**2 + 8*s - 8. Let m(r) = -15*r**2 - 130*r + 130. Let f(v) = 4*m(v) + 65*n(v). Determine g(f(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -105 (b) 255 (c) -27 (d) -5\/2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 6503\nAnswer: -390.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 14. Let u = -22 - a. Suppose -17 = k - 2*k. What is the highest common factor of k and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 3*n = -11 - 22 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40735514 to the nearest integer?\nAnswer: 6382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -29. Suppose 7*s + 735 = g*s. Let c = s + -175. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1889.959 + 1.2109\nAnswer: -1888.7481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 8*p + 80 = 0, -758*v + 763*v + 5*p = -50 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3093*f + 10. Let g be p(3). Suppose -g = -10*q + 1301. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-18)\/(-15))\/(80\/(-50))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 91*m**3 - 270*m**3 + 92*m**3 + 90*m**3.\nAnswer: 3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -800b + -2?\nAnswer: -800d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 416812?\nAnswer: -416777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5908958.9999995 - -5908953. Let s = 5.6 - -0.4. Let r = d + s. Round r to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/20 + y**4\/8 - 2*y**3\/3 + 29*y**2. Let s be v(1). Let m(h) = 3*h**2 - 4*h - 8. What is the tens digit of m(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11\/(h**(-33)*h) assuming h is positive.\nAnswer: h**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2683 - 2659. Let m be -1 + (4 - 2) + 3. Suppose h = -h - 2*b + 94, m*h = -2*b + 190. Calculate the greatest common divisor of h and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10604330 and 550?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 9 + 0 + -5. Suppose a - 83 = 3*w - 7342, o*a = -5*w + 12085. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 2. Let f = 1 - 6. Let u(w) = w + 3. Determine f*m(g) - 4*u(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 113549096 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/17)\/((g\/g**5)\/g)*g**(1\/9)*g\/g**(20\/7) assuming g is positive.\nAnswer: g**(3611\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9464.089 milligrams?\nAnswer: 9464089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e20b3 (base 16) in base 8?\nAnswer: -3420263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 158440, 158458, 158476, 158494, 158512, 158530?\n\"Answer: 18*l + 158422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.4 + 29. Let m = -0.4 - d. Are m and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from auaa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3067 rounded to 2 decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 370*n - 26525. Calculate o(64).\nAnswer: -2845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from {a: 1, j: 1, g: 2, c: 1, t: 2, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -5 - (15 - 22) - 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, i: 5, s: 4}. What is prob of picking 1 s and 1 c?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skln when four letters picked without replacement from {l: 3, k: 4, s: 3, g: 5, n: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/21336 and -51\/689864.\nAnswer: 2069592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4497*i + 9047. Calculate p(2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 127339 - -2?\nAnswer: 12733b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840764999 to the power of 1\/2, to the nearest integer?\nAnswer: 61974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 17*v**2 - 28*v - 35. Let m be k(14). What is the greatest common factor of m and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*u**2 - 192*u**2 + 53*u**2 + 39*u**2 to y + h*u**2 + b*u and give h.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(3\/25)*(j\/(j*j**1\/j))**(3\/4)*j*j**(-2)*((j\/(j\/(j\/j**5*j)*j))\/j*j)\/j*j**6*j**(-2\/13) assuming j is positive.\nAnswer: j**(-61\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 589\/133 + (6\/(-7))\/2. Let q(t) = -25*t**2 - 4*t + 4. Let x(v) = 24*v**2 + 3*v - 3. What is r*x(l) + 3*q(l)?\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (477\/6)\/((-6)\/(-8)). Let y be -21 + 20 - (-1 - u). Let x = y + -46. Calculate the highest common factor of x and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 27 = -g - 2*v + 9, -20*g = -v - 82 - 136 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-3)\/4*(-21810)\/727.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5*v - 12. Let a(r) = r**3 + 12*r**2 - 14*r - 15. Let d be a(-13). Let g be l(d). Solve 0*n - 2 = -g*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.086 in -3, 0.038, 3\/23, -4, 1, -0.1?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 178280260 and 17828026.\nAnswer: 178280260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 11*q - 24*q**2 + 5\/2*q**3 + 0. Differentiate l(i) with respect to i.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1194448 = 5*y - y. Let w = 7 + -2. Suppose -w*b + 1399995 = i, i - 5*b - 1698617 = -y. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4221346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 6*z - 105 = -31*z, 5*l - 308817*z + 308812*z - 9 + 99 = 0 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9168 + 3059. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 7*f - 2. Let d be y(-7). Let g be (1 + d)*(-21)\/3. Suppose 0 = 5*s - 7 - 3. Solve -g*b = -s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67133402, -134266803, -201400204, -268533605, -335667006?\nAnswer: -402800407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(64) - ((sqrt(64) - (sqrt(64) + sqrt(64)*-3)) + sqrt(64)))\/sqrt(2) + 2*(sqrt(1152) + sqrt(32))).\nAnswer: -264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 5*n**2 - 3*n - 1. Let p be i(3). Suppose 0 = -l - x - 15, p*x + 38 = -2*l + 4*x. Let f = 25 + l. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1093167 - 19*q + 1093167.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49221?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 13, s: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 26 - 34. Let d = 3 + y. Let r(c) = 61*c**2 - c. Let m be r(1). Calculate the greatest common divisor of d and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.27 - -0.03. Let p = -0.1 - z. Let w = p + 0.4. Which is the second smallest value? (a) w (b) -4\/7 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -2.94.\nAnswer: -2.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0 - -1) + 1)\/31. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 383 and 766.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 206 - 206 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-10 - -23 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 25*f + 26. Suppose 5*h - 1237 + 1177 = 0. What is the units digit of x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25879.063 + 25892. Let d = t + 0.063. Sort -5, d, 3\/4 in descending order.\nAnswer: d, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6509*m - 6730*m - 6630 = 0 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 2*m**3 + 11*m**2 + 31*m + 96. Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7106\/18 - 14\/(-63). What is the greatest common divisor of n and 632?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -1 + 1\/2*t**2 + 0*t. Let q(d) be the first derivative of 4*d**3\/3 + 17. What is q(c(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-5)*f\/(f**5\/f) assuming f is positive.\nAnswer: f**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*4\/60*-24*(-3)\/60\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 315979, 4, 3, -1.83.\nAnswer: -1.83, 3, 4, 315979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54854103.\nAnswer: 3, 23, 71, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from qqqeqqqqqeq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 0, -4, -9, 4, -3 in ascending order.\nAnswer: -195, -9, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10959 - -0.1.\nAnswer: -10958.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 447 + 45. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 4*f + 1. Let b = -21 + 33. Suppose -3*l + b = l. Calculate i(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20927 - -1109127\/53. Sort 8, m, -6 in descending order.\nAnswer: 8, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yluuyyycyzuyc. Give prob of sequence ccyc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204, -73, 150, 465?\n\"Answer: 46*y**2 - 7*y - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27348 - 2476. Suppose 13*p - t = 5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1830 * -0.209.\nAnswer: -382.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*k**3 - 2*k**4 + 354*k - 2 - 42*k**3 - 355*k + 22*k**2 to o*k + m*k**2 + y*k**4 + c + x*k**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8340 divided by -1\nAnswer: 8340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -0.5, 1126, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*f + 40, 0 = 5*f - 4*c - 13 - 0. Let s be f + 1046\/(-174) + 1. Is 1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -36 + (17 - (8 - -1)) - 17.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 3b?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 8 + -63 + 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 - 8*j - 10. Let y be z(5). Let w(b) = 14*b - 4. Let i be w(5). Let n = i + y. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 3*s = -4*s - 120 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y. Let d(t) = 2718426*t**2. What is d(r(m))?\nAnswer: 220192506*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -351e (base 15) to base 3\nAnswer: -120110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 32. Suppose -4*y - y = 4*v - m, v - 3*y + 8 = 0. What is the highest common factor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - r. Let n be s(1). Let d be n - 3 - (-3 - 14). Suppose -3*h = -0*h - d. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/531136 and -73\/576.\nAnswer: 4780224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1072, 2107, 3142, 4177, 5212?\n\"Answer: 1035*b + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206*0.03198.\nAnswer: 6.58788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5478 and 72603586.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 38 + 65*w**2.\nAnswer: 65*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 2*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 9:39 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 91, 150, 223, 316, 435?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(-203))\/(2\/(-70)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.52?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13498623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(-p - 6 + 6 - 3*p**2) as d*p**2 + n*p + k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prrhpphppnpnr. What is prob of sequence pr?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = -5*b, -9*b + 7*b = 4*n - 22. Suppose 1 = -4*c + 5. Sort -3, c, n in descending order.\nAnswer: n, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9147888, 9147887, 9147886, 9147885?\n\"Answer: -j + 9147889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**8\/1512 - f**7\/189 - 2*f**6\/135 - 2*f**5\/135 - 124*f**2. Factor k(i).\nAnswer: -2*i**2*(i + 1)*(i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2, -180, 4 in increasing order.\nAnswer: -180, -2, 0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 459 + -268. Suppose 240 = 5*d + k, j = 2*d + 2*d + k. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:17 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204430 (base 6) to base 13.\nAnswer: 22a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 73085256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9458 or 9460?\nAnswer: 9460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2 - 3) + (11 - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0028 from -5.\nAnswer: -5.0028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - 0.03. What is the nearest to r in 5\/3, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:56 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Let o(b) = b**2 + 17*b - 386. Let c be o(13). What is the closest to -1 in c, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 22*g**2 + 29*g + 18. Let a(c) = -c**3 + 11*c**2 + 14*c + 9. Let i be 1\/3 + 13\/(-3). Let n(k) = i*s(k) + 9*a(k). Is n(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + q**2. Suppose 370 + 60 = -5*p. Let s = -85 - p. Let b(h) be the first derivative of 3*h**4\/2 + 5*h**3\/3 + 2. Give s*b(a) - 5*w(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3030*g**2 + 665110 - 665110 + 3032*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = g - 177, 2*q + 361 = 3*g - 162. What is the hundreds digit of (-3 - (-1 + g))*(-3 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -0.3. Let t = -3 + -1. Let d = -8522 + 8524. What is the closest to d in t, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.49275ns in seconds?\nAnswer: 0.00000006349275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*g - 317*g + 4055 = 0. What are the prime factors of g?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 989298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7094749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 331142 - -106?\nAnswer: 331251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 + y**2. Let w be m(-1). Let i(z) = z - w + 0*z + 5. Let s(d) be the second derivative of -d**3\/3 + 2*d. Determine s(i(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from {i: 7, b: 5, s: 4}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*g - 145*g - 2*g**3)*(g + 3 - 3) + g**4 + g**4 - 4*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -9. Let m = s + 4. What is the third derivative of -2*g**4 - 2*g**2 + 7*g**4 - 2*g**2 + m*g**4 wrt g?\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63373400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(539)*1 - (sqrt(539) + -2)*-6) + -4.\nAnswer: -16 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65054 (base 8) in base 11?\nAnswer: -1946a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 377\/4 (c) -0.3 (d) 0.2 (e) 2\/3 (f) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by 249.\nAnswer: -98\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 6373*o - 12740*o + 6370*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -505 - -490. Let w(m) = -m**3 - 16*m**2 - 47*m + 7. Is w(h) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.204 - 0.396. What is the closest to -0.1 in -2, -0.04, d?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**13\/g)\/g*g**(-12))**(-5\/6))**(-2\/107) assuming g is positive.\nAnswer: g**(-5\/321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/9 - 1648*n**2\/3 + 345440*n\/9 = 0.\nAnswer: -2540, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*f + 1188 = -2*h, -2914 = -5*h - 4*f. Is (-1)\/2*h*(-2 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10450000 to the nearest one hundred thousand.\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 17*f**2 + 22*f - 9. Let s be w(18). Let u = s + -55. Suppose u*q + 16 = 12*q. Solve -3*n - 2*n = -4*v - 2, -12 = -q*v - 2*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n + 3. Let x be i(5). Suppose 6 - 21 = -x*r. Let v(l) = 11*l - 10. Let m(c) = -31*c + 28. Let y(j) = -6*m(j) - 17*v(j). Determine y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924823877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = q, -5*w + q - 2*q + 25 = 0. Suppose 0 - 10 = w*n. Let r(v) = -v**3 + 2*v + 1. Let y be r(n). Solve y = 3*f - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*i + 9604 + 1646, -2*b + i = -4476. Calculate the least common multiple of b and 2.\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 20*g**2 - 6*g - 10. What are the prime factors of t(-5)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + 15*t**2 - 18*t - 3. Let o(h) = 3*h**3 - 14*h**2 + 19*h + 4. Let q(v) = -4*k(v) - 3*o(v). Factor q(i).\nAnswer: 3*i*(i - 5)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:17 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwgmmxgmm. What is prob of sequence wmg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 76 - 240 + 3*p - 5*p**2.\nAnswer: -5*p**2 + 3*p - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 110 - 18 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2371, 5857, 10441, 16129, 22927, 30841?\nAnswer: 39877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*r + 3 = -0*r, -4*r = -o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 10 - 52*c + 7 - 9 + 54*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/32 and (-9)\/(-30)*((-38)\/3 + 3)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -174, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/720 + r**5\/120 - r**4\/24 - r**2. Let b(j) be the second derivative of d(j). Is b(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 18852.84 millilitres?\nAnswer: 18.85284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 35*u**2 - 74*u - 29. Is 6 a factor of l(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 48 + 5*o - 47 - 7*o. Let f(b) = 4*b - 1. What is -6*f(s) - 11*t(s)?\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 2. Let n be s(-1). Let c(x) = 15*x - 1. What is the remainder when 41 is divided by c(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20938, -20768, -20600, -20434, -20270, -20108?\nAnswer: -19948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 36*v - 59. Give l(5).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -73. Solve -a - 13 = -2*x, -x + m*a - 11 = 6*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5206 + 3.1206. What is the second biggest value in 0.4, 3\/7, 1\/68, g, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (40940\/(-401568))\/((-1)\/(-4)) and 5\/378.\nAnswer: 17766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 + 331*a**2 + 105*a - 547. What is o(-110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 1129070*l - 956099298675.\nAnswer: -(l + 1693605)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2367157, -4734317, -7101477, -9468637?\n\"Answer: -2367160*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 677 + 17988*i + 638 - 1315 - 5363*i to b*i + v and give b.\nAnswer: 12625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(6\/21) + (-2)\/4. Suppose 6*h + 0*g + 3*g = 0, -k*h + 2*g + 14 = 0. Solve h*l = -6, -5*s = l - 4*l + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 166117354.2 milliseconds?\nAnswer: 0.2746649375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232.4104 + 235.1. Let x = 2.7 - z. Round x to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*f - 532*f - 13972 + 6288 - 19296 = 0 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6486.\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151861814?\nAnswer: 2, 13, 257, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012583 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**2 + 4730205*l + 28381050 = 0.\nAnswer: -946035, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 4*g + 2 + g)*(13 + 324 + 319).\nAnswer: -1312*g + 1312","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from aananwnnwaanwaw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30063947*-3.\nAnswer: 90191841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136466111?\nAnswer: 137, 996103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 970 and 0.1.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514966709.\nAnswer: 3, 173, 2919011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -120, -81, -8, 105, 264, 475?\n\"Answer: x**3 + 11*x**2 - x - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14652918.\nAnswer: 2, 3, 7, 116293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3981084?\nAnswer: 2, 3, 59, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 6*m + 8. Let f(p) = -p**2 + 7*p - 7. Let d be f(6). Let b be (d\/(-1)*1)\/1. Let n(c) = -c - 1. Let l(u) = b*n(u) + q(u). What is l(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -36. Let w = v - 24. Let r = -109 + 542\/5. Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 0*g + 4, 3*h - 89942*g - 11 = -89943*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s. Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 12852983641*p**2\/3 + 124708100*p\/3 + 302500\/3 = 0?\nAnswer: -550\/113371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3)**(-33\/5)\/((a\/(a\/(a**8*a)))\/a*a**(4\/3)) assuming a is positive.\nAnswer: a**(-437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.22501228 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 6*s**2 + 9*s - 17. Let q be v(5). Let o be (-2)\/(-4) + 70\/(-84). Is o smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:36 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-42) - 4\/(-6). Determine w, given that 0*w + 2\/3 - g*w**2 - 1\/6*w**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 1:47 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646127?\nAnswer: 787, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 269411919+-6.56628\nAnswer: 269411912.43372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*l + 5 = 3*c, 0*c + 5*l - l = -0*c + 2*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 - 10*l + 10. Let i(d) = 9*d**2 + 21*d - 21. Let r(w) = 6*i(w) + 13*u(w). Let j(h) = 6*h**2 - 11*h + 11. Calculate -4*j(k) + 11*r(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**3 + 7*c**2 + 23. Let m(f) = -2*f**3 - 2*f**2 - 8. Let z(b) = -52*b + 102. Let u be z(2). What is u*o(y) - 7*m(y)?\nAnswer: 2*y**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-8))\/(11\/(-132)). Let s(o) = o**3 - 15*o**2 + o - 13. Let n be s(v). Suppose 0 = b - 2*b + 12. Solve -n*l + b = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**4)**(-15)\/(((p**26\/p)\/p)\/p**(6\/5)) assuming p is positive.\nAnswer: p**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6253 rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285243 by 2459.\nAnswer: -285243\/2459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -131380\nAnswer: -52552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/9 (b) 2 (c) 27.69 (d) -5 (e) 8.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 90*t + 2281. Give f(-42).\nAnswer: -1499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.25 (c) 0.2 (d) -34 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 - 4638*z = 0.\nAnswer: 0, 2319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.401486 years in months?\nAnswer: 28.817832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, -15 in ascending order.\nAnswer: -15, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2682\/((-2)\/2))\/(20\/140). Let k = 675947\/36 + t. What is the common denominator of 117\/28 and k?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-24)\/(-84) - (-38)\/14). Let l = -10 - -6. Sort l, p, 2.\nAnswer: l, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80425*v**2 + 80427*v**2 + 56*v - 56*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 23*q**2 + 12*q - 38. Calculate z(12).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 13. Calculate a(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86958 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 74882046 divided by -1983\nAnswer: -37762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35259 + 36157.43. What is v rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -1\/24*v**4 + 0*v**3 + 0*v + 0 + 4*v**2. Let z(l) = -l. Determine x(z(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.145 times -0.06\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-4)\/1)*0. What is the third derivative of -3*y**2 + y**2 + k*y**6 - 2*y**6 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 - 2 = 0, -3 = -2*x + z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 - (1 - -4)). Let r be (-6 - q - -1)\/(-2). Suppose -g + r + 43 = 0. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 17. Let f be 4\/v + 86\/18 - -3. Suppose 2*d + b = 62, f*b - 4*b = 8. Calculate the greatest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 0*v + 0*v + (2 + 2 - 6)*(-3*v - 3*v + 7*v) + 76*v - 152*v + 73*v - 29.\nAnswer: -4*v - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -428 and -0.06?\nAnswer: 25.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27000 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3266, -26354, -89028, -211082, -412310?\nAnswer: -712506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*y - 16 = 0, 5*y + 279 = 309 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.016 + -0.0188. Let x = g - 0.0652. Which is the third biggest value? (a) -12 (b) -7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 122\/195445?\nAnswer: 122\/195445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113221 + 1141040?\nAnswer: 1022314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24448 and 4736.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010010001 (base 2) in base 14?\nAnswer: db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (414\/10166)\/(308\/4004).\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1695546 is divided by 847456.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -13. What is the closest to r in -0.3, 1\/4, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 43 = 3*o. Let d be o - -71 - (-3 + (-4)\/(-2)). Let b = d + -59. Calculate the remainder when 38 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4281831 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 73029*v.\nAnswer: -v*(v - 146058)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 3*b + 4. Suppose -3*a - 4 = -4*a. Suppose i = -a*c + 28, 2*i + 18 = 5*c - i. Let h(t) = 3*t + t - c + 0*t + 3*t**2. Give 7*f(g) + 5*h(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -402 + 829 - 7*b + 2*b**2 + 13*b - 423. Let x(i) = 13*i + 5*i**2 + 11 + 5*i - i. Give 11*k(h) - 4*x(h).\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 202306297 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 1300*t**5 - 12655*t**4 - 4420*t**3 + 9685*t**2 + 150*t = 0. Calculate t.\nAnswer: -1, -1\/65, 0, 3\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(567) + -4 + sqrt(567) - ((4*sqrt(567) - sqrt(567)) + 4)) + 3)**2.\nAnswer: 54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133912 is divided by 3091.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -3, -1\/3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1)\/(13 + -6 + -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 10*z - 5. Let n be r(-10). Let h be ((-10)\/n)\/(2\/(-3)). What is the units digit of (4 + 1)\/((-3)\/h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4 - 1 - i**2 + 13*i - 4*i. Let g = -31 + 108. Let f be 44\/g - (-52)\/7. Calculate l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100054 + 140592. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 9*q + 20. Calculate the highest common divisor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.161 * 5\nAnswer: 5.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*g + 3*g = -180004, 4*g = -16. Suppose -r = -27*i - 3*i. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 and 28\/112 - (-125)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**19*r**(10\/9)\/(r*r**(1\/44)*r) assuming r is positive.\nAnswer: r**(-361\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 762 - 650. What is the smallest common multiple of n and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -31. Let s be b - (-1)\/(2*(-2)\/28). Let w = 61 - s. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 5 in decreasing order.\nAnswer: 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by (-12)\/(-32) + 2115\/120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 + 126*j + 85. Let m(k) = -k**2 - 30*k - 20. Let y(p) = -13*m(p) - 3*o(p). Give y(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwtc when four letters picked without replacement from wticewtwcwtwwcc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2 (c) -9 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4)*z*z)**(-1\/7))**(2\/65) assuming z is positive.\nAnswer: z**(-9\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1106*p**4\/17 + 818*p**3\/17 - 296*p**2\/17 - 8*p\/17 = 0. Calculate p.\nAnswer: -1, -2\/79, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(10)*-6)\/(sqrt(2) + (sqrt(4) + sqrt(8)\/sqrt(2))\/sqrt(2)))**2 + 3.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4 - 4*v**3 - 8*v**2 + 4*v + 6 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-3)\/21 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 + 5*k + 4. Let w(s) = 6*s**2 + s. Calculate the remainder when z(-7) is divided by w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1824123637*r**2 - 357406*r + 357406. Let w(q) = -25519*q**2 + 5*q - 5. What is 5*g(v) + 357406*w(v)?\nAnswer: -25529*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m. Let c(v) = 13764*v. Give c(n(j)).\nAnswer: -123876*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -164 + 143 + -1 + 42 - -21?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/(84\/2520).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(560)\/(sqrt(10)*1) - -2*sqrt(896))\/((sqrt(504)*3 - sqrt(56))\/sqrt(7)))**2.\nAnswer: 567\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-70)\/(-14))\/(2\/(-42508)))\/((-8)\/1600). Round u to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 5*q**3\/3 - q**2\/2 + q - 19. Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -318, -405, -492?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/60 - n**4\/8 - 5*n**3\/3 + 2*n**2. Let m be w(10). Calculate the common denominator of (-6)\/(-10) - 921\/m and 53\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/160 + (-1)\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53124\/(-551))\/(-6) + 5 + -21.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {v: 1, f: 1, r: 1, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*h + 5712 = 7257 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:54 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 26*h - 25. Let y(d) = -23*d - 7. Let w(q) = -24*q - 8. Let x(k) = -6*w(k) + 7*y(k). What is the lowest common multiple of x(-1) and p(-7)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -34, -4 in decreasing order.\nAnswer: 8, 4, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 7 - 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-9)\/(-90)) + 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.88845 - -3.\nAnswer: 3.88845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlfvnlvhfffv. Give prob of picking 1 h and 3 f.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 44*p - 163. Let g(l) = 6*l**2 - 47*l - 2. Let u be g(7). Is i(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/20 - x**4\/2 + x**3\/6 + 2*x**2 + 4*x. What is g(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t = -30*t + 114*t - 35445. What is the remainder when t is divided by 114?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 + 7*x**2 + 5*x**2 - 8*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 75?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/425851 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -45*f**5\/4 - 12381*f**4\/4 - 423105*f**3\/2 + 186093*f**2 + 28566*f = 0.\nAnswer: -138, -2\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Solve -3*r + u + 3 = -2*a, -3*r + 3 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 25*k**2 - 16*k - 16. Let d be u(-17). Suppose 2*y = 5*z - d, -z + 0*y = -y - 513. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 - 7*p**2 + 17*p - 718. Give l(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4201892525 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 24, 39?\n\"Answer: 15*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 + 13*y - 4. Let q be c(6). Suppose 5*h = -q - 3. Which is smaller: h or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/14647 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 1.65269?\nAnswer: 1.65269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -97*n - 2033. Let x be j(-23). Solve -86*s = -108*s + x for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**6 + 0*c**5 + 0*c + 0*c**3 + 2*c**2 - 1\/21*c**7 - 1\/6*c**4 + 0. Find the second derivative of z(t) wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 55 = -38*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1150158 and 1.\nAnswer: -1150158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 409573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r**2 + 286*r + 3599. Give y(58).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 22*f - 29*f. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 25*v - 203155 = 3557. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 298530 and 499690?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 44*q**3 + 8*q**2 - 4*q - 3. Let h be d(1). Find the second derivative of 2*r**3 - r**5 - 4*r**3 + r**3 + r**3 + h*r**2 - 107*r wrt r.\nAnswer: -20*r**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from ooxoooxo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**2*p + 112343*g*p + 5124*p + 158 wrt g?\nAnswer: 6*g*p + 112343*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(637) + (0 + sqrt(637) + 0 + sqrt(637) - sqrt(637)))*-1 + 0)**2.\nAnswer: 7644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j**4 - 196*j**3 - 412*j**2 - 284*j - 56 = 0 for j.\nAnswer: -14, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(242) - sqrt(242))**2*1 + -6*(sqrt(242) + 0 + sqrt(242) + sqrt(242) + -2)**2.\nAnswer: -10188 + 792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -16*m**3 + 10. Let p(n) = -2*n**2 - n - 1. Let b be p(2). Let x(r) = 3*r**3 - 2. Determine b*x(k) - 2*g(k).\nAnswer: -k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/15360 and -209\/840.\nAnswer: 107520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**3 + 5*v**2 - 3. Let i(p) be the first derivative of 14\/3*p**3 - 8*p + 27\/4*p**4 + 0*p**2 + 96. What is -8*d(j) + 3*i(j)?\nAnswer: 9*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3.8. What is the closest to -1 in 0, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6650463 is divided by 2216815?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 41*s**2 + 152*s - 2378. Calculate o(39).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2459, -4942, -7459, -10022, -12643, -15334, -18107?\nAnswer: -20974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - 122 - (-24 + 42).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -41. Calculate the smallest common multiple of 8 and c\/3*30\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8833585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 101*(-2 - 0\/2). Let y be (2\/j)\/((-21)\/(-345)). Let f = y + 2\/101. Are 1 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 157, 533, 1107, 1885, 2873, 4077, 5503?\n\"Answer: s**3 + 93*s**2 + 90*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 + 0?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*w + 8*w - 3 + 3 to z*w + h and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5))**2 + 3 + -1 + sqrt(27).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -297 less than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 295295 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/105*2 + 63301151\/1645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -164383 less than -164377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 8. Let c be q(-3). Let m(b) = b**2 - 10*b + 11. What is the remainder when 109 is divided by m(c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*l + 36 = 0, 5*h + 4*l - 5*l = 24. Suppose 0 = -0*p - h*p. Suppose -4*v + 2*r + 330 = p, -3*v - 5*r + 150 = -104. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125324*a + 125039*a - 250367*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -54. Let o be (-125)\/(-3) + (-2)\/3. Let y = o + l. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-3)\/u))\/u*(u\/u**(-3\/2)*u)\/u)\/(u**(-1))**(-9\/11) assuming u is positive.\nAnswer: u**(103\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.05? (a) -4 (b) -14\/251 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) 2\/5 (c) -1 (d) -0.1 (e) 1\/4 (f) 238 (g) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -t - 4*t - 4*b, -4*t + 15 = -3*b. Suppose 2*s + 155 = 5*v, t = -3*v - v + s + 127. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -3*j + 3*j. Let k be 7 + j + (1 - 5). Solve 0 = 5*i + 12 + k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 10, -0.4, -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 110010111010001101010 (base 2) to base 13\nAnswer: 465403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1164 + -23.\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3189 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -25*z**4 - 27*z**2 - 3*z - 3. Let g(l) = 49*l**4 + 55*l**2 + 7*l + 7. Let k(o) = -3*g(o) - 7*i(o). What is the third derivative of k(d) wrt d?\nAnswer: 672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 255\/7?\nAnswer: 255\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249 + 290. Solve 0 = 2*f + 45 - j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -14, 1\/23 in descending order.\nAnswer: 1, 0.2, 1\/23, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 - n**2 + 1. Let o be p(1). Find the second derivative of 5*b**3 - 22*b + 10*b + 6*b**o wrt b.\nAnswer: 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**13)*n)\/n*n*n\/((n*n**(14\/5))\/n) assuming n is positive.\nAnswer: n**(-69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/4 - 401*y**3\/4 + 813*y**2\/4 + 2825*y\/4 + 403 = 0. What is y?\nAnswer: -403, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153128325?\nAnswer: 3, 5, 7, 137, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(175)*1)**2 + 0 - (-4 + sqrt(175)*2 + 2*(-1*sqrt(175) - sqrt(175)))**2).\nAnswer: -535 - 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2, 0.1, -1.16, 1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*p**3 + 187*p**3 + 0 - 3*p - 63*p**3 - 1 - p**4 + 2*p**2 as s + z*p**4 + r*p**3 + w*p + n*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5*q + 8 + 8, 374 = -0*g - 5*g + 95*q + 77*q for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265 and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 13212.\nAnswer: -1\/4404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772.663l in millilitres?\nAnswer: 2772663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25190, -25919, -26648?\nAnswer: -27377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**4 - 16*i**2 + 11*i**2 + i**4 wrt i?\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90 + -81 - (4 - 124). Solve 52 = -11*c + d for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*84\/(-980))\/((-3)\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -485, 5, -180, 2\/5?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 83501 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 251?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - m + 1. Let v be n(2). Let o = -42 + 152. Is o\/(v + 3)*-1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000110100 (base 2) in base 6?\nAnswer: 20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30526 (base 16) to base 6\nAnswer: -4124154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3262159 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.1, -1\/4, -0.1, 6\/1525, -2, 0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -221, -723, -1695, -3293, -5673?\nAnswer: -8991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.98 (b) -39 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 18*p + 35. Suppose -p*n + 10*n = 21. Suppose -g = n*g - 200. What is the remainder when g is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:54 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(5\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 23 = 2*a - 21, 0 = 4*w - 12. What is the hundreds digit of (186\/a)\/(17\/(-408))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 13*h**2 + 29*h - 11. Let m be y(-15). Solve o + 2 = 3*o + m*p, -4*p - 16 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, m: 1, y: 1, q: 1}. What is prob of picking 1 l and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110000110 (base 2) to base 6.\nAnswer: -12530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4941*x - 242. Let t be k(-2). What is the highest common factor of t and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10360 by -1.\nAnswer: 10360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let c(r) = -r**2 - 10*r + 4. Let d(b) = -c(b) + 3*o(b). Let m be d(-8). Solve 3*u + 4*v = -21, m*v = -3*u + 7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 2*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.373824ml to litres.\nAnswer: 0.004373824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/63)\/o**(-2\/9)*o**(1\/19)*o**24 assuming o is positive.\nAnswer: o**(9673\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 95. Which is the nearest to 1? (a) z (b) 2\/11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = -3*n, -3*n - 12 = 5*m - 0. Suppose -18 = -9*f - 0*f. Suppose -4*z = j + 2, f*z + 5*j + 10 + m = 0. Solve z = -q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + w + (-1 + 3 - 1)*(-43 + 43 + 19*w) - 2*w + 0*w + w)*(5 - 5 + w**2).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1228, 1101, 756, 85, -1020, -2667, -4964?\n\"Answer: -18*x**3 - x**2 + 2*x + 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 190 = 18*g. Suppose -55 = g*m - 15*m. What is the remainder when 516 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 - 45*d - 6311. What is the thousands digit of h(-99)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2384926, -2384823, -2384720?\n\"Answer: 103*n - 2385029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3289\/7 + -466. Which is the second smallest value? (a) 1\/3 (b) 5 (c) 2\/9 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -407, -396, -383, -368?\n\"Answer: x**2 + 8*x - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 17095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 + 3 - (-3 - -1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26129721 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 - 7*i - 32. Let l be t(-6). Solve l*x + 14 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41494409 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 661080 divided by 15\nAnswer: 44072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 5 (c) 2 (d) 3293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727, -734, -755, -796, -863, -962, -1099, -1280?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -5*u**3\/3 - 7*u**2\/2 - 4*u. Is k(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/89311?\nAnswer: 4\/89311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -23. Suppose -2*w - w = r. Suppose 3*f + 0 - 21 = w. What is the highest common factor of 70 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -492 - -496. Let j be (-24)\/(-10) - (-4)\/(-10). Suppose -j*k + 4 + 2 = 0. Solve -k*z + 4 = -r*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1121*n**5 - 632*n wrt n.\nAnswer: -22420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24056130 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8396 at most -7268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 650 + -638. Solve 35*c = 29*c + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24959 is divided by 160.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 200779 = s, -14*s + 13*s = o - 50194. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = g - 0. Let l be 4*(-3 - (-3)\/(-3)). Let k = l + 29. Let v(w) = -7*w**2 + 7*w - 7. Let o(t) = 15*t**2 - 15*t + 15. Give g*o(m) + k*v(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, d: 10}. What is prob of sequence pd?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77443 + -77443.138749. Let w = j + 0.1371. What is w rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjjttjjtjjjtjjetjj. Give prob of picking 2 j.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 91\/(-21))\/(12\/27). Suppose -3*p = -t*x - x + 3, -5*p - 2*x = -21. Solve -4*h = n, n + 2*n - p*h + 15 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 17. Let g = -0.11 + -0.39. Which is the nearest to 1? (a) 3 (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 2 m when four letters picked without replacement from zzzkzmzkzzktmkz.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144305 is divided by 48061?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**3 - t - 1. Give i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 6\/(-2)) + -5. Solve 0 = -f*y + 55*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -712762.0529.\nAnswer: 712758.0529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*w - 53*w - 53. Calculate the highest common divisor of w and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12697151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/29)))\/(f**(1\/5)\/f)*f\/((f\/f**(-4))\/f)*f**(-3) assuming f is positive.\nAnswer: f**(-744\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1309651 and 2128.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, -18, -122?\n\"Answer: -104*h + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 59669745.2 and -0.2.\nAnswer: 59669745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011000 - 10000110011110?\nAnswer: -10000001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210151 is divided by 1170.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 10*f**2 - 2*f - 14. Let x be c(5). Does -149 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -187. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 - 0.2. Let r = 1.7 + s. Which is the second smallest value? (a) r (b) -1\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132 + 88. Let o = -7 - t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*((1 + sqrt(13) + -3 - sqrt(13)) + 0 + -1 + sqrt(13)))**2 + -5.\nAnswer: -216*sqrt(13) + 787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172320 and 137382120?\nAnswer: 549528480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/13 - 4*q\/13 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -12. Let f = 38 - 38.01. Let q = f - 0.09. Which is the nearest to q? (a) -0.1 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 6 + 6)*(-4*n**2 + 0*n**2 + 3*n**2)*(14*n - 2*n - 4*n).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 561.6 and 0.5?\nAnswer: 280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z**2 + z + 1. Let d be p(-1). What is the units digit of (0 - d\/(-2))*(-37)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1446 and -5 - (4\/(-20) - 8\/(578400\/348065)).\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0194778285 to 5 dps.\nAnswer: -0.01948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 27 + 3. What is the least common multiple of l and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 92, 134, 174, 212?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185777*p**2 + 4 + 3 + 185777*p**2 - 2*p**3 - 11 - 33.\nAnswer: -2*p**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112759, 225516, 338273, 451030, 563787?\n\"Answer: 112757*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5807 divided by -19?\nAnswer: -5807\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29704 - 12255. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbwebrssssw. Give prob of sequence swrs.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.5*401.\nAnswer: -33082.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g + 44 = 0. Let l = 58 + -27. Suppose l*s = 28*s + 258. Calculate the remainder when s is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -27.4. Sort s, 4, -4\/3 in decreasing order.\nAnswer: 4, s, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -617138*v**4 + 3 + 43*v**3 - 617139*v**4 + 1234279*v**4 - 4*v to c*v**4 + d*v**2 + y*v**3 + n + a*v and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18*2\/(-4). Suppose 0 = 36*m + 64 + 80. Put r, m, 0.3 in decreasing order.\nAnswer: 0.3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.8 + 537024516\nAnswer: 537024523.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24221 - -1310?\nAnswer: 25531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 148 + 1148 = 0. Suppose -6*n + g = 56. Suppose -2*o + 7 = -3, 5*o = w + n. Solve v = 1 + w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(5\/(-2)*(-40)\/(-1600))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.89345 years to millennia.\nAnswer: 0.06589345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -14*o**3 - 52*o**2 - 27*o - 7. What is c(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2. Let f(v) = 3*v**2 + 4*v - 25. Let m(l) = -l**2 - l + 3. Let u(c) = f(c) + 4*m(c). Determine u(w(d)).\nAnswer: -9*d**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -63, -98, -137, -180, -227?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(-2 + sqrt(5) + -4)*5.\nAnswer: -146 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + -4) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/65*(-2)\/(-6). Let l = 3.438 + -3.4. Let r = 0.538 - l. What is the second biggest value in r, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*g + 49 - 4 - 39 + 676*g - 6.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 22. Let a(s) = -s**2 - 13*s + 8. What are the prime factors of a(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 21*w - 550. Calculate the remainder when 75 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6989.\nAnswer: 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 16*o + 33 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 6 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/17 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 + -156. Let m(q) be the first derivative of 4*q + t*q**2 + 7 + 2\/3*q**3. Differentiate m(l) with respect to l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003331 - 322010?\nAnswer: -1332001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 200797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41148700.\nAnswer: 2, 5, 587, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 7*f - 7. Let d = 9 + -15. Let z be b(d). Sort -2, z, 0 in descending order.\nAnswer: 0, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 1:59 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p - 32. Let j be h(9). Let o(c) = -3*c**2 + 3*c**2 - j*c**2. Let i(n) = n. Determine i(o(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 41*f + 81 + 39*f - 85*f. Let y be v(0). What is the greatest common factor of 567 and y?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from tlaah?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.1, -4, 3, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 38*q**2 - 3*q - 1. Let c(k) = k**2 + k + 1. Let d = -5429 - -5428. What is d*z(w) - c(w)?\nAnswer: -39*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 4.9953?\nAnswer: 4.9953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2440.\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 smaller than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - 82. Let l = q - -97. Which is bigger: l or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7 = -6. Let o be (s - -1)*(-2)\/(-6). Suppose o = -0*t - 2*t + 92. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 20 = -u. Let v be 5\/(5\/22) - (6 + -4). Calculate the remainder when -8*(0 - -1 - 155\/v) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o - 951 + 111 = -3*o. Calculate the remainder when 94 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 73293347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*f - 16, 3*f + a = -7 - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -6*f. Suppose -4*d - f = -10. What is the second derivative of 6*a**d + 2*a - 4*a**2 - a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(847) + (sqrt(847)*-5 - sqrt(847)) + sqrt(847) + -2 + sqrt(847) - sqrt(847))**2 + 4).\nAnswer: 176*sqrt(7) + 13560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/2 - 1813*h**4 - 4385041*h**3\/2 - 885775060*h**2 - 1764979808*h - 881395456 = 0. What is h?\nAnswer: -1208, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/504112362 and 5\/28938?\nAnswer: 3528786534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/33)\/(66\/(-396))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59972, 119944, 179920, 239900, 299884?\nAnswer: 359872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4810 and -39\/13100?\nAnswer: 6301100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 3. Let q be d(3). Suppose 3*b = q*i - i - 23, -4*i - 4*b = -12. Solve 0 = -c + i*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u - 2 = 4*a, -a = 4*u - 5. Let y = a - -2. Put -4, y, 0 in decreasing order.\nAnswer: 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -37*j + 17. Calculate the smallest common multiple of 16 and t(-3).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/163 - 659\/1141. Let a = -646.9 + 647. Put k, -1, a, -0.3 in decreasing order.\nAnswer: a, -0.3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuuuyyu. Give prob of sequence uyuu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -671*s**9\/126 - 5*s**5 + s**4\/24 + s**3\/6 + 350*s**2 + s. What is the third derivative of z(x) wrt x?\nAnswer: -322080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 + 52277*p + 156825. What is r(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1382*h*o**3 + h*o**2 - 176*h*o - 12*o**3 + 2*o**2 wrt o?\nAnswer: -8292*h - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/77471 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15943841, -31887680, -47831519, -63775358, -79719197?\nAnswer: -95663036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -52. Suppose r = -i + x*r + 129, r - 352 = -3*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8 + 0)*(-21)\/4 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f + 106 = -0*f - 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + -b32?\nAnswer: -b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 3:39 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -0.0140414415?\nAnswer: -3.0140414415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216.73 - 215. Let d = z + -0.13. Let j = d - 1.59999999. What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = z + 3*z + f, 5*z + f = -7. Is 13 + (-4)\/z - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 13)\/(-4 - (-215)\/55)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let s be t(-3). Let v(c) = c**2 - c - 1. What are the prime factors of v(s)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*i + 30090*i**3 - 147*i - 143*i - 30086*i**3 - 149*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in -41, 0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 16\/183 (b) 2265 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8039.748 centimeters?\nAnswer: 80397480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (6 - 11 - 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8 + 54 + 308*s - 253*s. What is the units digit of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/2 in 0.5, 2\/5, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 33. Let i(d) = -13*d**3 + v*d**2 + 7 - 2 + 2*d + d**3. Let z(k) = 12*k**3 - 9*k**2 - 3*k - 6. Let f(x) = 6*i(x) + 5*z(x). Factor f(s).\nAnswer: -3*s*(s - 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -1327*f**4 + 1312*f**3\/3 - f**2 - 2*f - 1164. What is the third derivative of s(b) wrt b?\nAnswer: -31848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 2) - (sqrt(7) - (sqrt(84)\/sqrt(4))\/sqrt(3)).\nAnswer: -6*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(((-42427)\/(-5336))\/(-209))\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 16) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845*w - 191*w - 229*w.\nAnswer: -1265*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -295, -294, -293?\n\"Answer: q - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 7*u - 6. Let i be m(-3). Let z(p) = -p**3 + 6*p**2 + 2*p - 10. Let f be z(i). Suppose f*h = 72 + 18. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 7*w**4\/4 + w**3 + 2. What is the third derivative of g(c) wrt c?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -242.6, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -15. Let l be -2 - 19 - (0 + 0). Is m bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -3. Solve 3*n = -0*n + 2*c - 1, -4*n - c = h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 5 = 0, 5*q + g = -1728 + 1717 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c + 99. Let r be m(-14). Let i = r + -136. What is the remainder when i is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*q - 6. Sort 5, q, -0.3 in descending order.\nAnswer: 5, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/820 and 27\/164?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -41881c?\nAnswer: -418818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/2650)\/(11\/(-55)))\/((-11)\/(110\/(-6)))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z - 20 = 0. Find the common denominator of 228\/(-16) + (-2)\/z and 292*18\/(-396) - -12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + r - 553. Let m be a(0). What is the remainder when m\/(-7) - (2 - 2) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g + 6*g + 1 - g. Let w be h(2). Let j = 1 - -4. Solve -j = w*d - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**4\/8 + p**2. Let q(u) = -3860*u + 3855. Let y be q(1). Let k(n) = n + 4 - 4. Give y*t(i) - 18*k(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13509\/13 + 1038. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.09732 times -3?\nAnswer: 18.29196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217 + 96 + 108)*(-22*p**3 - 35*p**3 + 22*p**3).\nAnswer: 455*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - j + 0 = 17, j = 1. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10402, -10378, -10342, -10288, -10210, -10102, -9958, -9772?\nAnswer: -9538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3009)\/(-68) + -1*1\/4. Suppose -4*r + u + 4 = 0. Let z = r + -7. Solve -5*j = 3*f - f - z, -5*f - 5*j = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114387223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ooooeooooooooooeoooo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*k + 103 + 1284, 4*k = 5*i - 1733. What are the prime factors of i?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6079.522 kilometers in nanometers?\nAnswer: 6079522000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25885*c**3 + 69 - 128 + 59.\nAnswer: -25885*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -1.2.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*u = -15, -g + 13 - 2 = -u. Suppose h = 3*h - g. What is the remainder when (0 - ((3 - 32) + 3))\/2 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10028868 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -63*s + 37. Let b be l(1). Sort 1, -3, b.\nAnswer: b, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + (-3954)\/(-24). Let h(u) = 4 - d*u + u**2 + 85*u + 84*u + 2*u**3. What is the units digit of h(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333 - -346. Suppose -k*d = -7*d + 126. Which is smaller: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - (-16)\/10. Let m = n + -5. Let j be -5 - m - -1*3. Is j at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 8. Let q be g(6). Suppose -8*w + q = -7*w. Solve 6 = -0*f + w*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149070 times -0.3?\nAnswer: -44721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*a + 105*a - 4*z - 30144, -5*z = -4*a + 30142. What are the prime factors of a?\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1778 and 9652.\nAnswer: 67564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 232021, 232015, 232005, 231991?\n\"Answer: -2*g**2 + 232023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + (-1 - ((-5 - (15 + -7)) + 0))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918 is divided by 160.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 11882035?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 34\/8)\/(12\/48). Let n be 1*2\/1 + -6. Let a = n - g. Solve -4*x + a*f - 33 = 0, f + 3 - 12 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1631 + 1627. Let u(a) = -a**2 - 6*a - 3. What is u(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2471 (base 13) in base 10?\nAnswer: -5162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -211\nAnswer: -14\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 64*s**2 + s - 1. Let k be m(1). Let v = k + -125\/2. Which is the second smallest value? (a) -0.5 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q - 6. Calculate a(7).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*(3\/(-5) + 0)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h. Let m(f) = -273*f + 136*f + 133*f. Calculate x(m(d)).\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.04868\nAnswer: -0.02434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -170*u + 2. Let n(g) = -2. Calculate j(m) + n(m).\nAnswer: -170*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/952 and -53\/426.\nAnswer: 202776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 36*q**2 - 63*q + 175. Let w be b(-34). Solve 5*n = 2*y - 160 + 156, -2*n + 3*y + w = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -68016*x - 680. Does 13 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54292 divided by 1\nAnswer: 54292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10 + 3*t - 10. Let v be o(4). Solve -3*n = 4*l + 7, -5*l - v = 4*n - l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 93, 30, -1.7, -27?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -10. Suppose 0 = -4*s + i - 5. Suppose -2*l - t - 857 = -2632, s*l - 1769 = 5*t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -288 - -283. Sort h, -4, -2 in increasing order.\nAnswer: h, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 4, q: 3, f: 1}. Give prob of sequence yrq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1995, 557, 2 in ascending order.\nAnswer: -1995, 2, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppqf when four letters picked without replacement from {q: 2, f: 3, p: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/8 + s**3\/3 - 13*s**2. What is q(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 27 = -59*b + 807 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w + 2. Let j be l(0). Let r(z) = -3*z + 2 - z**2 + 4 + 5*z**j - z**3. Let s be (-2)\/2*(-4)\/1. Give r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 4*f**2 - 5*f**2)*(-11*f**3 + 38*f**3 - 13*f**3) + (f**2 - 5*f + 5*f)*(-5*f - 2*f**3 + 5*f).\nAnswer: 26*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044 divided by 7?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*2 - (-5856)\/720) + (-4)\/30. Sort n, -1\/7, 2\/373.\nAnswer: -1\/7, 2\/373, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 6*l**2 + 5*l**2 + 2*l**2. Let g(y) = -3*y. Give g(f(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 311199*c - 66733974.\nAnswer: 3*(c - 103947)*(c + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(68) + sqrt(68) - sqrt(68) - (sqrt(68) - -4*-1*sqrt(68)))\/(5*(sqrt(16)*2 + sqrt(16))).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, 173, 801, 1999, 3959?\nAnswer: 6873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 4*u**3 + 57*u**3 - u + 8*u**3 to h*u**2 + w + g*u + f*u**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 4*d + 27210. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 141, -34 in ascending order.\nAnswer: -34, 2\/15, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037009475 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.16 + -0.16. Let q = -51 + k. What is the fourth smallest value in 4, -4, q, -4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 0*s + 0*s)*(-5*s + 13*s - 7*s - 2).\nAnswer: 5*s**2 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 15 = -17*z. Solve z = 4*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8848*3.898\nAnswer: 11.2449504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-6\/5)\/b)\/b**(4\/15) assuming b is positive.\nAnswer: b**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 - 12*x - 1. What is p(7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 7\/12*n**4 + 2*n + 0 + 0*n**3 + 0*n**2. Let i(u) = -u**2. Determine -3*g(j) - 24*i(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*t + 420, -156 - 166 = -3*p + 2*t. Let j = 206 - 196. What is the greatest common factor of j and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - -7. Let r be (254\/(-4))\/(-1) + 58 + 1035\/(-18). What is the greatest common factor of h and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 220 = 24*s. Calculate the remainder when s is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7*n - 21. Let m = -11 - n. What are the prime factors of (0 + 9)*(-3 - m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.549, -1\/6, 3 in decreasing order.\nAnswer: 3, 0.549, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - f**2 + 5*f + 4. Let q be 1\/(-2 - -1) - -4. Let l(z) = -z**3 + q*z + z**2 - 2*z - 3 - 5*z. Let n = 3 - 7. Calculate n*l(g) - 3*w(g).\nAnswer: g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 9. Suppose 2*d - 23 = p, 2*d + 4*p - 10 = 8. Let m be a(d). What is the second derivative of -3*k - m*k**3 + 2*k - 3*k + 3*k wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2030355?\nAnswer: 3, 5, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -67 + (-2 - -1)\/1. Is 17 a factor of (x\/6)\/(6\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94 times -11592?\nAnswer: 10896.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 1 + 0*w**3 + 143*w**2 + 27*w**4 - 146*w**2 as k*w**3 + r*w**4 + a*w + f + n*w**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 0 - 1\/42*l**7 - 60835\/6*l**3 - 138*l**5 - 50*l**2 + 0*l + 35\/12*l**6 + 34385\/12*l**4. Factor z(a).\nAnswer: -5*(a - 23)**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*b + 8*b + 5*b)*(-1 + 2 + 1)*(28*b - 28*b - 5*b**2).\nAnswer: -320*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 176 + 137 = 0. Is 76 - x - (1 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/5661 and 40?\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c + 2*i - 4*i, 5*i = -4*c + 36. Calculate the greatest common divisor of 36 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0832 + -1241.9168. Let n = -1139.9 - d. What is n rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 939 - 934. Suppose 0 = -s + 3*x + 97, -455 = -3*s - 2*s + a*x. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/121 and 6\/7.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(12) - (sqrt(12) + sqrt(48)*1)))\/(4*sqrt(216)).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*c - 6, -c + 10*h - 17 = 17. Sort c, 1\/4, 3\/8, 3, -0.7 in descending order.\nAnswer: 3, 3\/8, 1\/4, -0.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2. Let w be u(5). Suppose -3*j + 6 = w, -f + 2 = -2*j - 7. Calculate the remainder when 47 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:12 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 3*g**3 - 3*g**2\/2 + 3*g - 31. Suppose 0 = 4*j - 23 + 7. Let w be i(j). What is the highest common factor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1049620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-80))\/((20\/5)\/16)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let w = 6 - i. Suppose 120 = w*u + m, -4*u - 5*m - 30 = -5*u. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1212 times 0.5\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/l*(l\/l**7)\/l*((((l\/(l*(l\/(l*l*l**0*l*l))\/l))\/l)\/l)\/l)**(5\/11) assuming l is positive.\nAnswer: l**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*k**3)*(-2*k**2 - 4 + 4) + (-1 - 3 + 2)*(2*k**5 - k**5 + 0*k**5) - 2*k**5 + 0*k**5 + k**5.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1226275157 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31862 is divided by 31837?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002503201 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 2780 = 2720 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 803. Let s(j) = 16*j**2. What is s(d(z))?\nAnswer: 16*z**2 + 25696*z + 10316944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*m = -2*c - 20*m - 23*m - 44, c = 5*m + 2 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*1)\/(-1*sqrt(112)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*i - 11. Let c = -7 + 43. Suppose -10*j - c = -i*j. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1551\/4 + -385. Is 2 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzt when three letters picked without replacement from {z: 4, x: 1, g: 4, t: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -470 + 540. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17762\/9 + 1979. Is s smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (677*v**3 + 35*v**4 - 677*v**3)*(292 - 165*v - 292).\nAnswer: -5775*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 141, 355, 655?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/338 and 39\/44.\nAnswer: 7436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 3:50 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0 + -1)*-5. Let f = 4 - y. What is the common denominator of 83\/20 and -1*f\/(-2) + 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*m + 78430, -5*m - 5*h + 78455 = -3*h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498854992 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41308050 and 5250.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(19) + 2 + sqrt(931))**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 27*t - 75*t + 26*t + 19*t. Let u(o) be the second derivative of 5*o**3\/3 - 487*o. Determine v(u(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30203155, 60406312, 90609469, 120812626, 151015783?\n\"Answer: 30203157*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23925 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 333475 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*j - 1736 = 0. Suppose -f - 4222 = -4*c, -f = -c + 623 + j. What are the prime factors of c?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + c**3 + 1 + (4*c**2 + 0*c**2 - 5*c**2)*(-2*c + 3*c - 2*c) - 2*c**2 + 2*c**3 + 2*c**2 + 3*c**3 + 3*c - 3*c.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 21231 - 1198. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-18)\/n*n\/(n\/((n*n**(-4)*n)\/n*n))*n)**(-3\/11))**(17\/4) assuming n is positive.\nAnswer: n**(255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0*z*z)\/z)**(2\/27)\/(z**5\/z**(-9)) assuming z is positive.\nAnswer: z**(-376\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4516 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from nnncpnpnccnnpnnnnc.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/150)\/(2\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrrpppess. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184554.\nAnswer: 2, 3, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -212*r. Let d(z) = -7*z**2 - 2*z - 168. What is y(d(u))?\nAnswer: 1484*u**2 + 424*u + 35616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llplllpppl. Give prob of picking 2 l and 2 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1829 - -5548\/3. Let s = 21 - v. What is the second smallest value in 5, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (13 - 1) + (10 - -41 - 83) + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -5*v - 2*a, 4*v - 2*a + 144 = -6*a. Let m = v + 58. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 156, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 87*c + 158. Suppose -16*n + 91 = -3*n. List the prime factors of d(n).\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 - 3*c**5 - 2*c**5 + (c + 0 + 0)*(2*c**4 + c**4 - 5*c**4) + 4*c**5 - 4*c**5 - 2*c**5 + 1524 + 1481 - 2*c**5 - 2967 - c.\nAnswer: -8*c**5 - c + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, m: 4}. What is prob of picking 2 s?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 1\/4 (c) 1.45 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aol when three letters picked without replacement from ljllljjxoxxjajj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2) + sqrt(3))*-3 - sqrt(147)*2) + (sqrt(48)*-2 - sqrt(192)*-3)**2.\nAnswer: -20*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 18*f - 6 = 0. Suppose f*g - 15 = 3*g. Solve -g*o + 10*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 121 (c) -0.5 (d) -3\/4 (e) 1\/4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108782183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146765 and 3663165?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 170 - 7*d**2 + 131 + 99 + 5*d**2.\nAnswer: -2*d**2 + 5*d + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 17. Suppose -37*d + 32*d + f = 0. Find the first derivative of -27*p**3 + 28 - 949*p**2 + 0*p**d + 949*p**2 wrt p.\nAnswer: -81*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -301, 10, -13, -2, -133 in increasing order.\nAnswer: -301, -133, -13, -2, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 66, 69, 82, 111, 162?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -903\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 6*a + 1. Suppose 3*i - 5*i - 134 = 0. Let x be 2*1\/13 - i\/(-13). Calculate t(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:17 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 5 = 2*n. Let i = -11 + n. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1634, 1635, 1636, 1637?\n\"Answer: m + 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29634912 to the nearest integer?\nAnswer: 5444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c - 117*c + 2*u = 8, c + 5*u - 20 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -2, 1, 846 in decreasing order.\nAnswer: 846, 1, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4)\/i*i)*i**(1\/5))**(4\/11)*((i*i\/i**(-2\/5)*i)**15)**(3\/4) assuming i is positive.\nAnswer: i**(8831\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313 - -322?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-3\/23)*d**(-2\/3) assuming d is positive.\nAnswer: d**(32\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 - -24 - (1 + 4). Let l(c) = -6*c**3 - 20*c**2 + c + 1. Let o(w) = w**3 + 4*w**2. Let p(j) = 2*l(j) + 11*o(j). Calculate p(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*r**4 + 306*r**3 - 7001*r**2 wrt r.\nAnswer: 408*r + 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30 - 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) -2\/3 (d) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1831 and 3012?\nAnswer: -3563.4972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-6\/13)*h*(h**(-9)*h)\/h*h assuming h is positive.\nAnswer: h**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -17394237.75 to the nearest 10000.\nAnswer: -17390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j**3 + 2*j**3 + 2*j**3 + (2*j**2 - j + j)*(-301 + 53*j + 301) in the form k + o*j**3 + c*j + f*j**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 981222913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*f**4 + 2794*f**2*r**2 + r**2 - 28*r + 24 wrt f?\nAnswer: 48*f**3 + 5588*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w + w**3)*(w**2 - w + w)*(-7 - 2 + 3).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141568 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:55 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*f**5 + 76*f**3 - 4*f + 50 wrt f.\nAnswer: -200*f**3 + 456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*p = -301*p. Let i(k) be the third derivative of -k**5\/60 - k**3\/3 + 2*k**2. Determine i(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -3\/7, 0.5, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 24, 57, 104?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3990, -3989, -3988, -3987, -3986, -3985?\n\"Answer: d - 3991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 40*g - 952.\nAnswer: 2*(g - 14)*(g + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -109125, -218267, -327409, -436551, -545693, -654835?\n\"Answer: -109142*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = 0, -2*v - 4*p = v - 8. Suppose 2*w + 15 = 3*w - v*o, 3*w - 12 = o. Solve w*q = -14 + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - h - 6. Let n be s(0). Is n greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 1\/240*b**5 + 1\/96*b**4 - 1\/3*b**3 - 3*b**2 + 0 + 0*b + 1\/1440*b**6. Let z(k) be the first derivative of f(k). Factor z(v).\nAnswer: (v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-75))\/(12\/(-15)). Let b be (2\/3)\/(1\/(-3)). Which is smaller: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 193 = 4*q, 2*m = 2*q + 376. Let o = -79 + m. Suppose 115*t = o*t + 90. What is the remainder when 71 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17) + (sqrt(17) + 1 + 3)**2.\nAnswer: 36 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*f - 4, -2*z = -7*z + f + 20. Let d = -177.77 - -175.77. Which is the nearest to 2\/3? (a) z (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 22*x - 145. Calculate the greatest common factor of x and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 12:18 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.1 - 24. Let c = n - 0.1. Let k = -6 - -4. Is c <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570\/1045)\/((-4)\/2).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 11:12 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 135. Let x(k) be the second derivative of -k**3 + 718*k. Determine x(i(n)).\nAnswer: -6*n**2 + 810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 2*w**2 - 2*w + 1. Give g(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:07 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4082276 rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 480, 517, 586, 699, 868, 1105?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-540)\/72*(-39306)\/15 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229\/30 - -47\/6. Put i, -22, 0, 1 in increasing order.\nAnswer: -22, 0, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:28 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 174\/(-21) + 296\/(-1036) - -8*1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-202)\/36 - (-35)\/(-70))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5055*n**2 + 3*n + 5. Let g be m(-2). Let l = g + 133221. What is l rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 572.4989 to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682 + (-3 - 4\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*w = -38, 10 = -5*z - 6*w + w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 65. Suppose -5*z = 3*v + 19, -v = -5*z - 8 + 1. Let i(b) = 28*b**2 - 20. Let y(s) = 0 - 4*s**2 + 3 + 0*s**2 + 0*s**2. What is p*y(w) + v*i(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 585.000000421 - 585. Round b to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620074\/9 not equal to 68898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(4488\/(-132)))\/(2\/15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 7*k**4\/24 + 8*k**2 + 3. Let f(y) = -y. Determine -6*f(q) - 3*l(q).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -118*t**3 - 1. Let u be q(-1). Let f = -59 + u. What is the remainder when 115 is divided by f?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660664429 to the power of 1\/2, to the nearest integer?\nAnswer: 40751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 + -20?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 826501620 divided by 876\nAnswer: 943495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*q\/(q*q**(-6\/13)))\/q))\/q**(-3\/7))\/((q*q*q*q\/(q*q*q**(-2\/5)))\/q*q)**6)**(10\/9) assuming q is positive.\nAnswer: q**(-12224\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6332 and 68.\nAnswer: 107644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79183693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*w = 5, 3*i + w - 3 = -2*w. Solve -3*r + 3*f + i = 4*f, -2*f = -4*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)*((i*i*i\/i**(-4)*i)\/i)\/i)\/((i\/((i**(2\/5)*i)\/i))\/(i**(-1\/3)*i))*(i*i**(-2\/19))\/(i*i*i*i**3\/i)*((i*i**1)\/i*i)\/i**5 assuming i is positive.\nAnswer: i**(-1447\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - 5 - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 10*p + 6. Let s be l(10). Suppose 0 = 4*z + 4, -2*z = -w - 0*z + s. Determine j so that 7*j**2 - 4*j - 2*j**2 + 0*j**2 + 4 - w*j**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -259042 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-316 - 203 - 589)*(1 - 2 + 2*u - 1)*(-1 + 1 + 2*u).\nAnswer: -4432*u**2 + 4432*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*v + 45, -14*k + 18*k - v - 48 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-5)*c*c))*c**6)\/(c*((c\/(c*c\/(c**(-1\/3)*c*c)*c))\/c)\/c*c)**(-1\/5)*((c\/c**(-1\/3))**(4\/21))**(-18) assuming c is positive.\nAnswer: c**(-67\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6573528368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*v - 42 = 0, 5*b + 3*v - 4*v = 118. Solve 2*n + 2*d - 18 = -n, -4*d + b = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 - 70.6. Let z = -43.7 + w. Let q = z + 26.29999762. What is q rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*x - 12, 4304*x = 2*g + 4308*x - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 57525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 66, 1, 1\/2, 0.09, 2\/101 in descending order.\nAnswer: 66, 1, 1\/2, 0.09, 2\/101, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*c**2*d*r + 10*c**2*l**2 + c**2*l*r - 3*c*d*l**2*r - 2*c*d*l**2 - 2*c*d + c*l - 5*c - 5*d*l**2 wrt c?\nAnswer: 52*d*r + 20*l**2 + 2*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 694479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296980771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - 0.1847.\nAnswer: -68.1847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 13, 27, 59, 115?\n\"Answer: b**3 - 5*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, g: 7, j: 2}. Give prob of sequence gij.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-seven halves of a gram?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 - x**2 - 2. What is o(2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdsj when four letters picked without replacement from {j: 3, d: 2, s: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24644*g = -p - 24640*g + 51, 0 = -3*p - 22*g - 323 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164310677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2)\/(-15) - 15383992\/(-1440). Let m = o - 42743\/4. What is the common denominator of 81\/20 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7639 + -6814. Calculate the remainder when c is divided by 198.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33658 + -2 + (-5)\/((-10)\/18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -35*y**2 + 7981*y + 49145. Determine s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1101110?\nAnswer: 1101033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.9 + 16.5. What is the third biggest value in 7, -5, f, 3\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -14. Suppose -4*r + 12 + 0 = k. Solve -11 = -5*b - c, r*c - 2*c = -b + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from {x: 1, u: 6, d: 4}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 <= 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-2)*194\/388\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60473?\nAnswer: 7, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1197*s - 1. Let w be f(1). Is (-2)\/9 + w\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -3*d - 1\/480*d**6 - 1\/2*d**2 + 1\/96*d**4 + 0*d**3 + 0*d**5 + 0. Let k(f) be the first derivative of b(f). Factor k(n).\nAnswer: -n*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 88060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -532 - -540. What is the lowest common multiple of v and 2194?\nAnswer: 8776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.762420009991 take away -0.03?\nAnswer: -1.732420009991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 110564 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -3, -7, -13, -21, -31, -43?\n\"Answer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 22 = -182*c + 177*c, c = 4*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 310, 438, 580, 742, 930, 1150, 1408, 1710?\n\"Answer: n**3 + n**2 + 118*n + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -46 + 19 + 35.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -5. Suppose 63 + 526 = 132*g + 61. Put 1, m, g, 2 in decreasing order.\nAnswer: g, 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y. Suppose -3*t + 0 = -2*z + 6, -4 = 2*t - 4*z. List the prime factors of h(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 898571912?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -35.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -11523586\nAnswer: -2\/5761793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040904887 a multiple of 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*h**3 - 472*h**3 - 1156*h**3.\nAnswer: -2389*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*p - 12 = 4*p, -2*k + 12 = 2*p. Solve -k*o + 0 = -6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 54, -16, -3\/4, -0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z + 6*z + 6*z - 4*z - 6*z**2 + 7. Let d(b) be the second derivative of -5*b**4\/12 + b**3\/2 + 3*b**2 - 7*b + 1. What is -4*d(j) + 3*i(j)?\nAnswer: 2*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14139 - -15?\nAnswer: -14124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2692323.84 to the nearest 10000.\nAnswer: -2690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2961 - 2011. Is s a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 - -2.1. Let i = -4 - -4. What is the nearest to i in b, -3, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 63304?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 40\/121, -5, -1, -25?\nAnswer: 40\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4185510 minus 401?\nAnswer: 4185109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2.69*0.926841\nAnswer: -2.49320229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 10) in base 14?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 2. Let b be 2*(7 - 16 - -4). Determine q(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1501, -3282, -5063, -6844, -8625?\n\"Answer: -1781*t + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 19938 = -3*j, -3*j + 41562 = 7*s + 13620. What are the prime factors of s?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224378 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -39.5, 1\/4, 6\/55, -4?\nAnswer: -39.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -905613 - -905617. Factor -72 + 1\/3*t**5 - 6*t**2 - 16\/3*t**z - 108*t + 73\/3*t**3.\nAnswer: (t - 6)**3*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.8, -3, -7, -196\/571, 1\/2, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48 (b) -7 (c) 0 (d) 2 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/12 - 120*q**4 + 69120*q**3 - 4*q**2 - 8*q. Suppose w(u) = 0. What is u?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -523 - -3664\/7. Put -0.1, s, -5, -1\/5 in decreasing order.\nAnswer: s, -0.1, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-25368)\/40*2\/4*(-50)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53535784 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9647 + -5949. List the prime factors of w.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 266420 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 7, c: 8}. What is prob of picking 2 f and 2 r?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let o(p) be the second derivative of 7*p**3\/6 - 9*p. Calculate o(k(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.45 - -17.75. Which is greater: r or -52?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 8323\/6 - 1388. Find the common denominator of b and -127\/2700.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*r + 1 = 0, -2*v + 50 - 48 = -2*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 758.9571 centimeters to millimeters.\nAnswer: 7589.571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 1474 = -2*l. Are l and 71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 120002?\nAnswer: 120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*r - 4, -5*r - 6*c + 5 = -c. Let i = 2 + r. Determine g so that 4 + g**i + 0*g**2 + g**2 - 4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (272\/17 + -17)\/(14\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*o**3*w + 449786*o**3 - 22*o**2*w - 71*o*w - 5*w wrt w?\nAnswer: -3*o**3 - 22*o**2 - 71*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 29*s. Let k(w) = -25*w. What is l(k(z))?\nAnswer: -725*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 58*z - 138. Let d = -224 + 237. Is b(d) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.28 - 1.48. Which is the nearest to 1? (a) r (b) 1 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -170 + 298 - 2*z + 114 in the form y + m*z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 95.3635 nanometers?\nAnswer: 0.0000000953635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 20, 2, -16?\n\"Answer: -18*j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -30. Suppose -5*u + 4*o + 40 = 9*o, -19 = -2*u + o. Suppose x - u*x = -24. Sort -4, x, k, -5 in decreasing order.\nAnswer: k, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 41. Let g = -1916 - -1937. Calculate o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4224 in 3, 0, 0.5, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*a - 57 + 47, -16*b = -a + 107 - 32 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 49*r - 4. Let n(a) = 3*a**2 - 38*a - 2. Calculate 2*b(o) - 3*n(o).\nAnswer: -5*o**2 + 16*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4077*b + 130484. Give w(32).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 544*z + 8402. Determine p(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 14*o**3 + 14*o**2 + 8*o + 8. Let i(j) = 6*j**2 - 3*j**2 + 5*j**3 + 3 + 2*j**2 + 3*j. Suppose -k = 3*k + 32. Give k*i(m) + 3*z(m).\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, -1, -17, 5 in descending order.\nAnswer: 5, -1, -5, -17, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/6 - 9*g**2\/2 - 6*g. Let w be k(13). Let o = 1 - -2. What is the second biggest value in w, o, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -9b?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f - 9*f - 110 + 0*f + 7*f as m*f + n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*a + 670 - 53 = 0, 5*d = -4*a + 1592. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 185, -4, 4434, 0 in increasing order.\nAnswer: -4, -2, 0, 185, 4434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 + 1197*x + 87. Let i be o(-92). Let k be 2 + (2 - -2) + 2. Let q = -1 - -2. Sort k, i, q in decreasing order.\nAnswer: k, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10444 + 20980. Suppose 3*z - 3*s - 6147 = 0, -4*s + p - 255 = 5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115833076.\nAnswer: 2, 29, 998561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*50.42536\nAnswer: -100.85072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*l**5 + 0 - 3*l**5 + 2 - 103*l**5 + 92*l**2 wrt l.\nAnswer: -9660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/120 - r**5\/20 - 65*r**4\/12 - 121*r**2. Find the second derivative of i(d) wrt d.\nAnswer: 6*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5568 and 58816.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87267\/4 greater than 21818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 82?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.016335 kilograms to milligrams.\nAnswer: 6016335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1332 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*w + 166 - 124. Solve w*o - 35*o = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 221 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -30) + (0 - 1) + -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/2 - 4*p**4 + 13*p**3\/2 - 3*p**2 = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008372 rounded to seven decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1537 - 0.3.\nAnswer: -1537.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bccccutcccczzccznczz. Give prob of picking 2 z and 1 u.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let j(i) be the third derivative of 4859*i**4\/12 - 48*i**2 + i + 5. What is j(r(m))?\nAnswer: -19436*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 3, -13, -9 in descending order.\nAnswer: 15, 3, -2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -42.3. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17383*g - 28966*g + 14681*g.\nAnswer: 3098*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (16 - (44 - 10)) - 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*h = 45, 0 = -3*h - h. Suppose 5*c + 2*a + 13 = 0, 4*c + 0 = -3*a - v. Let y(q) = 2*q**2 + 2. What is the remainder when 78 is divided by y(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20882 divided by 20882\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 241617?\nAnswer: 1208085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1310.03 + 1310. What is the nearest to 5 in v, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 338 + 134. Suppose 0 = -40*h + 39*h + v. Suppose 0 = -7*w + 617 + h. Does 35 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 32*c**2 + 6*c - 6. Let f be n(-7). Round f to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a factor of 77819984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.1. Let t = l - 0.1. Let j = t - -1. Put -4, j, 1 in decreasing order.\nAnswer: 1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*w - 8969 + 974 = 6*w - 475 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -3*i**2\/2 - 3*i - 2. Let m be v(-2). Suppose m*g - 14005 = g - q, -g + q + 6995 = 0. Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 3*p - p**3 + p**2 - p - 1. What is the remainder when a(-3) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let q(t) = -20*t - 347. Let p(d) = -6*d - 115. Let h(j) = -7*p(j) + 2*q(j). Determine h(f(a)).\nAnswer: -2*a + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90\/(-7)*28\/6. Is (3\/2)\/((-2)\/t) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55773*n + 55774*n + 33*n**2 - 111547*n.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -9, 4, -238, -5 in descending order.\nAnswer: 28, 4, -5, -9, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 621 - -122786?\nAnswer: 123517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 802270?\nAnswer: 1604540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**6\/40 + w**5\/10 + 56*w**2 + 23*w + 2. Let g(o) be the first derivative of p(o). Factor g(n).\nAnswer: 3*n**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104*b*j*m**3 - 1375*b*j*m - 3*b*j - 4267895*b*m**3 wrt j?\nAnswer: 104*b*m**3 - 1375*b*m - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.085, -8, 1.879, -6 in decreasing order.\nAnswer: 1.879, -0.085, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 68105\/(-44) + (-1)\/4. Let j = a + 1544. Let k = 1884\/17 - 20761\/170. Find the common denominator of k and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, -2 in increasing order.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -18. Let u = -28 - -30.7. Let j = u + p. What is the third biggest value in j, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {u: 7, l: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -32*u**5\/7 + 360*u**4\/7 - 1412*u**3\/7 + 312*u**2 - 128*u - 384\/7 = 0.\nAnswer: -1\/4, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66544 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 380720699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8163\/4 + 2040. Which is the closest to 1? (a) -4\/5 (b) 83 (c) -1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 8:57 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5 = -3*w + 3, s - 3*s = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 1958446931?\nAnswer: -1958446931.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*526\/2 + 4. Suppose -4*l + 11775 = -a, -a - f = -3*l + 7776. Let g = -1432 + l. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262443?\nAnswer: 3, 87481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - -1*2*sqrt(112) - sqrt(112))\/(sqrt(7) - ((sqrt(7) - 3*(sqrt(7) + sqrt(7)*1)) + sqrt(7))))\/(sqrt(8) + 2*sqrt(128) + sqrt(392)*4).\nAnswer: 2*sqrt(2)\/185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f - 16 = 46*f. Suppose f*c - 4*j - 7 = 13, -5*c = 5*j + 15. Let t be (c\/(-2))\/(5\/(-10)). Calculate the highest common factor of 12 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 2956*n + 2184484.\nAnswer: (n + 1478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/((-96)\/384)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*y**4 + 34.\nAnswer: 456*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33845.689 plus -0.5?\nAnswer: 33845.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Determine s(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23837355 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.484773 millilitres to litres.\nAnswer: 0.002484773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 1508.\nAnswer: -7, -3, 1508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - 108\/(-24)*2. Let z(t) = -t**3 + t**2 + t - 5. Let n be z(0). Sort 0, n, p, -4 in ascending order.\nAnswer: n, -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 18, 58, 144, 294, 526, 858?\n\"Answer: 3*w**3 - 4*w**2 + 3*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280 + 236. Sort r, 0.4, 2, 6 in descending order.\nAnswer: 6, 2, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -19 + 57. Let i = -57 + 62. Suppose 285 = 4*d - 2*p + 7*p, 2*d - 135 = -i*p. What is the remainder when d is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 1, f: 7, w: 2, j: 1, c: 1}. Give prob of picking 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**3 + 42*v**2 - 6*v + 4 + 2*v - 40*v**2. Let m be d(2). Let l = -16 + m. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (31 - (18 + 4)) + (-154)\/18. Let r = 6.7 + -7. Let y = 0.5 + -0.6. Which is the third biggest value? (a) r (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**6\/30 - 5*j**3\/6 + 14*j**2 + 3*j. Let q(o) = -1. Give d(u) - 5*q(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = -57. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t - 56*t - 20495 = 0. Suppose 12034 - t = 15*c. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-86)\/8)\/(1\/4). Let c = a + -7. Find the common denominator of -63\/16 and 340\/c - (-1)\/(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/30 - 4*w**2. Suppose -t - 2*g = 3, 4 + 32 = 3*t - 3*g. Let h(q) = t*q**2 - 1 + 1. Calculate h(l(f)).\nAnswer: 28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -11.72. Let p = q - -1.1. Round p to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 - (-41 - (-54 + -5)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o + 3. Let n(p) = 104*p + 44. Let s(z) = -88*k(z) + 6*n(z). Let h(j) = -j. Let q(b) = -6*h(b) - s(b). Let m(t) = -t**2. What is m(q(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 249?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005261 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/4 + 162*w**2 - 74451*w\/4.\nAnswer: 3*w*(w - 83)*(w + 299)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.8 - -17.8. Which is the nearest to w? (a) 0.3 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2. Let a = 35688 + -10036. Let h(f) = -a + 25652 - 24*f**2. What is w(h(t))?\nAnswer: 2304*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25003 (base 7) to base 16.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 6479 - 8767 = 0. Let a = f - 624. Calculate the greatest common factor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74820 and 1194?\nAnswer: 14889180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 2*d**2 + 11*d - 7. Let u = -24 + 10. Let z = u + 9. Is h(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Suppose 90 = 13*p + 25. Find t, given that -p*t - 3*t + y*t + 5*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-47)\/(-1974)*(-5)\/(-15)*(-3)\/(-10).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 3*g - g**2)*(3 - 3 - 1 - 2*g) - 10*g**3 - 2*g - 2*g**3 - 8*g**3 to n + q*g**3 + t*g**2 + i*g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 2 + 75*s**3 - 4*s**4 + s - 76*s**3 to g*s**2 + a*s + t*s**3 + i + q*s**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 47698 divided by -3407\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/12 - 5*u**2. Let w(b) = -3*b**2. Give w(f(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 834900081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-12))\/((-5)\/100). Suppose -5*l = -15, -3*l = w*t + l + 396268. Let f = 51256 + t. What is f rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/5))**(-44))**22)**(2\/53) assuming d is positive.\nAnswer: d**(1936\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/28)\/(306\/(-204))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**7\/5040 + t**6\/360 + t**5\/80 - 19*t**4\/12 - 14*t. Let i(k) be the third derivative of d(k). Determine s so that i(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + sqrt(57)\/sqrt(3))**2.\nAnswer: 31 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -48. Suppose -5*u + 349 = -2*l, -205 = 2*u - 5*u - l. Calculate the remainder when u is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3. Let b(m) = 8*m**3 + 46*m**2 - m. Give -b(i) + 6*s(i).\nAnswer: -2*i**3 - 46*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -8 + -8 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-627 + 698)\/((-1)\/1).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + 86\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 262*l + 3505. Calculate n(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111200021 (base 4) to base 5.\nAnswer: 10304243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q. Let o(h) = 17*h**2. Let v be 88\/(-40) + 2\/10. Let j(s) = -4*s**2. Let r(p) = v*o(p) - 9*j(p). What is r(k(b))?\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16466265863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.6. Let b = -7.7 - -1.9. Let o = b + 0.8. What is the second biggest value in 4, i, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + ((-20)\/450)\/((-4)\/1010) - -10. What is f in 8*f**2 + 242\/9*f**3 + 40*f**4 + 0 + 8\/9*f + q*f**5 = 0?\nAnswer: -1\/2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3993 and 2519794629.\nAnswer: 3993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(64))**2 - (sqrt(11) + 1 + sqrt(11) + 4)**2.\nAnswer: -1093\/16 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 114, 3\/2623 in descending order.\nAnswer: 114, 3\/2623, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = -4*m - k - 19, 4*m - 2*k = -22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 5543 = -50*s. Let q = -239 - s. Solve -5*t - q*g + 15 = -0, -5*t + 15 = g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 23 + 20 = 0. Does 8 divide 2\/(6\/15)*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296 + -181. Let q = 5.6 + -130.2. Let m = i + q. What is m rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -1732471.5.\nAnswer: 17324.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 + j + 4. Let w(k) = -5*k**3 + k**2 - 2*k - 19. Let c(i) = -6*f(i) - w(i). Determine c(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 28 = -5*i, -3*c = c + 2*i + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000105376 rounded to seven dps?\nAnswer: 0.0001054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10279 is divided by 1449?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1595 + -4783\/3. Let x(g) = g**2 - 8*g + 2. Let z be x(8). Suppose -3*p = z*p. What is the closest to p in 2, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 177. What is the remainder when k is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -32, -30?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 163*x - 33415. Determine d(205).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -275.0681 - -0.0681. Let h = b + 419. Let k = -144.00069 + h. What is k rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-2) - 2 - 687\/(-6).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 12:37 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -576\/7 - 10\/7*p**5 - 384*p - 556*p**2 - 264\/7*p**4 - 2034\/7*p**3 = 0. What is p?\nAnswer: -12, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*z - 5*x - 48, 5*z - 4*x = 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9154 * -37\nAnswer: -338698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316762 is divided by 630?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -953*y - 1268. What is the hundreds digit of q(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 493*q - 2*q**2 - 593*q - 1 + 0 + 1 to s*q + r*q**2 + i and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (171\/(-76))\/((-3)\/264*1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.5835471 millimeters?\nAnswer: 0.0000005835471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*r = 73, -4*g - 2*r + 122 = -0*g. Suppose 0 = -z - g + 31. Solve c + 3*t = z*t - 3, -t - 7 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3368920839 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 43879 and 43906 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4435110 (base 7) to base 14.\nAnswer: -1033b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 - 26 + 26. Let b be q(4). Let f = 20 + -21. Put 1, b, f in decreasing order.\nAnswer: 1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (16 - 22 - -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.0456 + 4.46. What is x rounded to 2 dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.09999925. Round j to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.617657 centuries?\nAnswer: 6.17657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (4*sqrt(162) + sqrt(72) + -3)*2).\nAnswer: -15 + 252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15864*q - 31854. What is t(2)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 27 = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 10 = 32 + 24. Solve -13*l + q*l = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 2:58 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let d(t) = t**3 - 1 - 14 + 7 + 6 + 3*t**2. Let w be d(-2). Let g(q) = -w*q + 6*q - 5*q - 7*q. Determine g(k(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1084684.\nAnswer: 1\/542342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -142 (b) 116.1594 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095954047 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -2*g, -4*s + 4*g - 6 = -22. Solve -s*l + 0*o = -o - 19, l + o - 6 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-8280)\/28) + 0. Let t = a + -302. What is the common denominator of t and -35\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*k**3 + 4\/9*k + 2\/9*k**4 + 0*k**2 - 2\/9.\nAnswer: 2*(k - 1)**3*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -2*j - 4*d + 6, -3*j + 5 = -2*d. Let m = 7 - j. What is the tens digit of 23\/((-10)\/m - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + -6 - ((-240)\/(-3) - 1). Let k = 123 + r. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*d + 10. Solve 0 = -0*k - 2*k - a + 3, 0 = -d*k + 4*a + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o + 36. Let s(a) = 5*a**3 - a**2 + a. Let l be s(1). Suppose v - 2*d = -o + 33, 5*v = l*d + 130. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**3 - 12*w**2 + 26*w - 12. What is o(5)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 803417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 751889948 to the power of 1\/2, to the nearest integer?\nAnswer: 27421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1013*-2.\nAnswer: -0.2026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-44)\/(-26)) - -1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -2\/5 (b) 4 (c) 2\/17 (d) 38044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 5*d - 18. Let q be h(10). Suppose -q = -8*f - 0. Solve -1 = y - 4*i, 2*y + f*i - i = -13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38016127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (65\/(-26) - (3 + -5))*-14. Solve -17 - 39 = t*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/2)*z))**15\/(z**(3\/5))**(15\/8) assuming z is positive.\nAnswer: z**(-69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w, 4*w = 5*s + 2*w - 79. Let u be (-306)\/255*(-5)\/2. Let i(r) = -r**3 + 10*r**2 - 13*r + 5. Calculate the remainder when i(u) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*((-10)\/(-9) + -1). Let b(r) = -r**3 - 9*r**2 - 6*r - 1. Let v be b(-8). Let y = -83\/5 - v. What is the nearest to y in h, -0.4, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289972.\nAnswer: 2, 31, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6758 and 872?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -8*x - 6. Solve -x*i - 25 = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405971, -405993, -405991, -405953, -405867?\nAnswer: -405721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/6)\/(v\/(v*v\/v**11)*v))**(-3\/23)\/(((v\/(v**(-1\/13)*v))\/v)\/((v**(1\/3)*v)\/v))**(-1\/26) assuming v is positive.\nAnswer: v**(14900\/11661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-88)\/(-33))\/((-2)\/(-3)). Suppose -q*s + 5 = -3*s. Suppose -s*r = -99 - 331. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 145*k - 8 - 76*k - 71*k. What is o(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.7 - 8.7. Put j, 16, -0.4 in descending order.\nAnswer: 16, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.254 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k - 38*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3) + -4)**2 + sqrt(24)\/sqrt(32) - ((-1 + sqrt(3))*5 - sqrt(33)\/(sqrt(22)\/sqrt(2))).\nAnswer: -23*sqrt(3)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or 7\/17?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a**4 + 62*a**4 - 82*a**4 - a**3 - a**3 - 3*a + 222*a**2 in the form s*a + u + l*a**2 + t*a**4 + f*a**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/43, 2\/9, -149.3, 1\/3, 1 in decreasing order.\nAnswer: 4, 1, 1\/3, 2\/9, -1\/43, -149.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58802.\nAnswer: 2, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -125\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 280102?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*26845.955\nAnswer: -10738.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -2\/729, 0, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x**2 - 719*x - 4122. Let z be l(-6). Let j(r) = 11*r + 2. Let u be j(4). Is u at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 20564*j\/9 - 52859762\/9.\nAnswer: -2*(j + 5141)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.9, 0.6, 0.2, -0.0038, 2 in ascending order.\nAnswer: -0.9, -0.0038, 0.2, 0.6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03894 + 0.16106. Sort 8, 1, 3\/5, 0.3, k in decreasing order.\nAnswer: 8, 1, 3\/5, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1295294*-2.\nAnswer: -2590588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8959 - 254?\nAnswer: -9213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 8:43 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 36. Let g be 6\/w - 36\/(-21). Suppose g*v + 2 - 20 = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 16*p - 84 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 3*b**2 - 4 + 4 + 9*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (11 - 16) - (3 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**0)\/(d**(2\/9)\/d))\/(d**(3\/7)\/(d\/((d\/(d**(-1)*d))\/d))) assuming d is positive.\nAnswer: d**(148\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 55?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192.4277*67.\nAnswer: 12892.6559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -585.5 - -585. Let q = -4.368531 + 3.8685. Let d = q - n. What is d rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31513294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2700)\/693 + ((-276)\/(-66) - 4). What is the fourth smallest value in 0.2, 6\/7, l, -4\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252048 is divided by 418.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 18*p + p - p as f + h*p and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -84 (b) -1435 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 121*n - 91. Calculate z(0).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12*f - 172. Let b be q(-12). Let p be 10\/(-45) - b\/(-441). Sort -1, p, -15, 5.\nAnswer: -15, -1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161*o - 2752 = 1075*o for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -9, 12, 55, 126, 231?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**2\/2 + 1. Let y(h) = -9*h**2 - 5*h. Let k(o) = -9*o**2 - 4*o. Let b(q) = 5*k(q) - 4*y(q). Calculate i(b(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ppkkkkkppk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/70 + a**4\/42 - 3*a**3\/7 - 9*a**2\/7 - 6*a + 3. Factor x(o).\nAnswer: 2*(o - 3)*(o + 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 147515906?\nAnswer: 14751590.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t\/((t*t**(-1\/2))\/t))\/t*t*t**(-2\/27))**(16\/9)\/((t*t**1*t)**26*t*t**(2\/25)*t**(-1\/10)) assuming t is positive.\nAnswer: t**(-885607\/12150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (-1 + 1 + -13 + 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 58518 = -98842 - 113680. List the prime factors of x.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 15, 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175977.\nAnswer: 3, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1074798 micrograms?\nAnswer: 107.4798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) 0.02 (c) -1 (d) 4977.4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/600)\/(24\/9 + -3)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(320))**2 + (sqrt(405) + 1)**2 + (sqrt(405) - (-2 + sqrt(405)))**2.\nAnswer: 18*sqrt(5) + 1689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 + (-144)\/126. What is the closest to 0 in 1\/3, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 5*t**2 + t - 1. Let p = -16 + 19. Let h be ((-1)\/p)\/((-2)\/(-30)). Give i(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from aggawwayjgyyjyaj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 10:42 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 3 + 497\/28.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -494*s + 17111 - 4761 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 0.5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 0, -3, 3, -100 in increasing order.\nAnswer: -100, -5, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:41 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 112657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6118973?\nAnswer: 7, 151, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - 0.6. Let h = k - -1. Let s = 5 + -9. Which is the second biggest value? (a) s (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6054?\nAnswer: 2, 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-8)\/348 + 4. Let b = l + 184\/435. Solve b*k - 4\/5 + 2\/5*k**2 = 0 for k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 11*z - 11. Let w be (14\/21)\/((-6)\/(-27)) - z. Factor -2\/9*r**w + 4\/9 + 2\/9*r.\nAnswer: -2*(r - 2)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + -45314.07647795.\nAnswer: -45313.27647795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 16 - -9) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 - 4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-40) + (1972\/(-112) - -13 - -2).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13709047 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*t + 96*t + 6190*t**2 - 7 - 6181*t**2 - 190*t.\nAnswer: 9*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = 0, 2*t + 10 = 6*h - 2*h. Let l(s) = -s**3 + 4*s**2 + 7*s - 3. Let a be l(t). What is the units digit of (a - -1)\/2 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201012221021 + -1?\nAnswer: -201012221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, v: 2, c: 1, y: 1}. Give prob of sequence cvvy.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjkddjkddjjddjddjj. Give prob of picking 2 k.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 86 (b) -4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1389977499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -6\/5, 0.5, 2, 11, -22?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from {x: 1, v: 1, q: 2, o: 1, t: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 55. Let r(b) = -2*b + 27. Let c(z) = -13*r(z) + 6*s(z). Does 20 divide c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1618005 litres to millilitres.\nAnswer: 161.8005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 - 378 + 378 + 0*m**3 - m**3 - 6*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62\/(-6) + (-2)\/(-6). Let y = -2246 - -15679\/7. Calculate the common denominator of y and (-12)\/p*(-26)\/(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4 - 194895*n**3 - 3165435864*n**2 - 3165240972*n = 0 for n.\nAnswer: -32482, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -100*z**2 + 106*z**2 + 2 - 9 - 10 as w*z**2 + y*z + l and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33773759 is divided by 960?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/2 of a week?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(425) + 1))**2 + -4.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 23*h**3\/5 + 3*h**2\/5 - 25. Factor m(q).\nAnswer: 3*q*(23*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 10 (c) 119845\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2071 - 333370?\nAnswer: -331277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 740 + -55a4?\nAnswer: -4d64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 - 6*z + 5. Give q(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35.4 and 163.7.\nAnswer: -5794.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4439, 8877, 13313, 17747, 22179, 26609, 31037?\n\"Answer: -w**2 + 4441*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 241, 367, 493, 619?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 512256*m.\nAnswer: 3*m*(m - 853760)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + f - 58 = -5*f - 3*f + 3*w, -363 = 33*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**26*(n**5\/n)\/n**7 assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 0, -7919*g + 7921*g = -3*j + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34351*h = 34353*h + 46 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 46109245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*((sqrt(325) + sqrt(325)*-2 - sqrt(325))*3 - sqrt(325)))**2 + 4.\nAnswer: 14332504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -324, -1250, 0 in increasing order.\nAnswer: -1250, -324, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221427?\nAnswer: 3, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4192)\/(-262) - (10\/1 - 27\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30351 + 30376. Solve 2*c + 4*u - 2 = 0, 26*u = 2*c + 21*u + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210202011 (base 3) in base 5?\nAnswer: 1001403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlo when three letters picked without replacement from {o: 2, g: 2, w: 3, l: 3, v: 4, k: 4}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 6)*(2 + (-940)\/420).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 4 + -1 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -37.5. What is the second biggest value in -4\/5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62502004 (base 8) to base 2.\nAnswer: 110010101000010000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 60050228*v\/3 + 60050222.\nAnswer: 2*(v + 3)*(v + 30025111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1554\/11, 6\/19, 0?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9177*y - 27535*y + 98*y**2 + 9177*y + 9181*y - 96*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1. Suppose 6 + 9 = -3*y. Determine w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddddddddddrr?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) + (-24)\/(-14). Suppose 0 = g - o, 2*g + 7 = -w + 3*g. Sort 2, -4, w in decreasing order.\nAnswer: 2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699329.5 rounded to the nearest one thousand?\nAnswer: 2699000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-13)\/1014). Let h = b - -48. Suppose -4*n = -2*n - 5*d - h, n - 39 = -2*d. Is n equal to 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 137*n - 1634 - 695 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3480*t. Let y(a) = 13*a + 159. Determine y(j(h)).\nAnswer: -45240*h + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -15*m**3 - m. Let f be h(-1). Let o = -11 + f. Solve z - o = -0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 393950991 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142746241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvuuuuuuuuu. Give prob of sequence uv.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9878.186 + -9862. What is r rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v + 5. Let r be t(0). Let u be ((-3)\/2)\/(12\/16). Let n be 8\/12*(-60)\/8. Sort n, r, u in descending order.\nAnswer: r, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2780*c**2 + 2916*c - 2. Let d(b) = 8340*b**2 + 8721*b - 7. Let m(v) = -2*d(v) + 7*l(v). What is the second derivative of m(i) wrt i?\nAnswer: 5560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*-6 + 3. Let p be (1 - (0 + -3)) + -1. Suppose d*v = 3*v + 9, p*z - 21 = -5*v. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13164.\nAnswer: 2, 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*t + 2, 3*p + 5*t = -278. Let a = -19 - p. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*y = -0*y - 559, 0 = h + 5*y - 127. Suppose h = 3*k - k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143344 (base 7) in base 4?\nAnswer: 12233203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (-34 - -49)) + (-3 - -57).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391*z - 397*z = -858. What is the greatest common factor of 77 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.66 + 1.2687.\nAnswer: 1.9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-10))\/k)*(k\/k**(-6\/11)*k)\/k)\/(k**(-6)\/(k\/(k*k*(k*k\/(k**(-1\/4)\/k)*k)\/k))) assuming k is positive.\nAnswer: k**(629\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 920319, 1840607, 2760893, 3681177?\nAnswer: 4601459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + i + 3, -2 = -3*v - 4*i. Let q(z) = z**3 - 1. Let a(l) = -5*l**3 - l**2 + 2*l - 4. Let x(r) = -a(r) + 5*q(r). Is x(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -227.133 - -227. What is p rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 5*j**2 + 3*j**2)*(-3 - 7*j + 3) + (j - j + 2*j**3)*(0 - 4 + 3) - j**3 - 4*j**2 + 4*j**2.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1 - 1 - a + 2. Let k = -5 + 6. Let r(f) = 4*f. Calculate k*r(v) + 3*t(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18627.6 - 18628. Which is the nearest to 0.1? (a) -0.47 (b) -2\/7 (c) -5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldgldldtggglgdgd. What is prob of sequence dg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, -0.3, -2, -104, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 29 = 5*a - 39, 0 = a - 3*z - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4558.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:52 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -103*d - 28. Let q be i(-5). What is the third derivative of -88*z**6 + 2*z**2 + 487*z - 23 + 236*z**6 - q*z wrt z?\nAnswer: 17760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3177 + -3188. Let h(l) = l**3 + 12*l**2 + 13*l + 22. What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 + 520*f**4 + 2130*f**3 + 3220*f**2 + 2155*f + 540 = 0. What is f?\nAnswer: -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4474515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - j = -27, 4*j = -10*y + 5*y - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + z - 3. Let f be b(0). Let r(c) = 240742*c**3 + 5*c**2 + 3*c - 2. Let q be r(f). Round q to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*b - 370 = -3412 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -213, -132?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5956558 is divided by 1698?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 6. Let l be (3\/18*14)\/((-2)\/6). What is x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 10) to base 7.\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*w + 442, -4*x - 216 - 228 = -2*w. Solve -53*t + 9*t + w = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = k + 10*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -573*f**4 + 31*f**2 + 4*f wrt f?\nAnswer: -13752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -2 + 3 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58817, -117635, -176457, -235283, -294113, -352947?\nAnswer: -411785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34257097?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -15.5515 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -n**3\/6 + 3*n**2\/2 + n. Suppose -84 = 2*s - 96. Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*((3*p + 0*p - p)*(3 + 0 - 2) - 4 + 4 - 5*p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from {j: 1, d: 3, n: 2, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 5 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 2*u + 1. Let t(y) = -1108 - y**2 + 3325 - 1109 - 1108. Give -p(a) + 6*t(a).\nAnswer: -11*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucc when three letters picked without replacement from {x: 1, u: 2, k: 4, c: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*q - 230 - 85 = 0, -4*h = -5*q - 270. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*u + 16*u = -1000 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*4*-2*(2 + -2 + sqrt(648))*6)**2.\nAnswer: -25920*sqrt(2) + 13436953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 + -78.6. Let d = -9 + u. Let p = -4 + d. Which is the closest to -0.2? (a) p (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elllelyy. Give prob of sequence eyl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 1, k: 2, i: 3, d: 1}. Give prob of sequence eeg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 + 105*r**3\/2 - 622*r**2 - 1110*r + 704 = 0 for r.\nAnswer: -2, 1\/2, 22, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2275641 is divided by 252607.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddddddcd. Give prob of sequence cdd.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.81895t in nanograms?\nAnswer: 32818950000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43151 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60 (b) -0.04 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - 8.12. Let m = h + 7. Let n = 257\/6 + -43. Which is the smallest value? (a) -0.3 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3 + 3)*(2*j**4 - 3*j**4 - j**4) + (2*j - j - 3*j)*(0*j**4 - j**4 + 3*j**4).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -267*x - 4. Does 28 divide w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426545369 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 17\/(((-4)\/(-6))\/(4\/6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 20*o - 9*o**2 - 26*o - 3*o**3 - 19 = 0 for o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13334 and -0.2.\nAnswer: -13334.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 459 + -457. Factor 0*c + 1\/5*c**y - 1\/5.\nAnswer: (c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13721 (b) 0 (c) -239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*i + 46*i - 210*i)*(-6*i - 2*i - 3*i).\nAnswer: 3267*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1691*g - 77864. Determine f(-46).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -44*v**3 - 3*v**2 + 21*v + 47. What is the smallest common multiple of c(-2) and 25?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 28\/5)\/(18\/(-20)). What is the third smallest value in a, -2\/5, 1, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-7))**(-28)*(v*v*v**15)\/(v\/((v\/(v\/(((v\/(v**(1\/10)\/v))\/v)\/v)))\/v)) assuming v is positive.\nAnswer: v**(-2371\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*o + 36, -3*l - o + 3*o + 54 = 0. What is the greatest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:26 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 10. Calculate the least common multiple of 38 and a.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538*o = -535*o - 6. Solve 4*y = o*m, m - 11 = -5*y - 2*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15880 is divided by 2643.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 20*x - 85. What is the units digit of k(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f + 81. Calculate the highest common factor of f and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + (sqrt(272) + -1 - sqrt(272)))*6)**2 - (sqrt(272) - (sqrt(272) - (sqrt(272) + -3 + sqrt(272))*-3) - sqrt(272)).\nAnswer: -260*sqrt(17) + 9819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 29*x - 25. Let c be w(28). Suppose 0 = -q + 4*o + 234, 2*q - 206 - 240 = -c*o. What is q rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 355857.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r\/(r**1*r))\/r*r)\/r)*r**(-1\/2))\/(r**(2\/5)\/r**(-6)))\/(r**(-2\/7)*r\/r**(-1\/3))**(-14) assuming r is positive.\nAnswer: r**(323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7130 - 7129.5. Let l = -15 - -8. What is the nearest to 0.5 in l, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from {m: 3, h: 1, c: 13}.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*o + 1048 = 107*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-8) - (-40)\/(-16). Solve 4*c + 12 = 0, 5*b - 12 = -m*c - c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58592151 divided by 9?\nAnswer: -6510239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310.263cm in nanometers?\nAnswer: 43102630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from issgsqsiiiasqasgq. Give prob of picking 1 i, 1 g, and 1 a.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 962080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1008 and 101136.\nAnswer: 303408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/7 - 2096*z**2\/7 + 6302*z\/7 - 4204\/7 = 0. Calculate z.\nAnswer: -1051, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(414\/60)*(-8)\/60.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 + 16*n + 2. Let u(f) = -7*f**2 - 20*f - 1. Let h(w) = 4*u(w) + 5*y(w). Let x(o) = 56*o**2 + 49. Calculate -49*h(r) + 6*x(r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42 - 14)*(0 - 9\/6). Is 5 a factor of (j\/(-12) + -2)\/((-6)\/(-68))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 - 71*j - 19. Let c be l(24). Sort c, -4, -6, 2.\nAnswer: -6, -4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*20\/(-270)*-12*3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**8\/6720 + y**7\/1680 + y**6\/1440 - y**5\/240 + 3*y**3\/2 - 13*y. Let d(q) be the second derivative of z(q). Factor d(c).\nAnswer: -c*(c - 2)*(c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -94. Let f(b) be the third derivative of -b**5\/60 + b**4\/4 + b**3\/6 - b**2. Give f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800858319345202+2\nAnswer: -800858319345200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 223.219391527568?\nAnswer: 223.319391527568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 11 = -3*n + 4*u, 3*u - 6 = 0. Let k be 4 - (3\/(-1) + n). Solve -35 = -k*q + 3*o, -q + 2*o - o + 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 3*n - n**2 - 2 + 4*n**2 + 2*n + n**3. Let h be a(-5). Let o = 4 - h. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 523.5733 nanometers?\nAnswer: 0.0005235733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1251 + -1250. What is the nearest to 0.1 in 3\/5, -4, 4, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145 and 35.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46511426*c**4 - c - 6167672?\nAnswer: -558137112*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 * -327.\nAnswer: 948.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32727038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 77*a - 307. Solve -4*j = -a*l - 0*l - 20, 5*l - 5*j + 25 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141567 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5708, 4918, 4128?\nAnswer: 3338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72657 + 72653.2. Let q = 0.4 + -0.7. Which is the third smallest value? (a) i (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 50 (b) 4\/3 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1190531 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823, 1589, 2193, 2587, 2723, 2553, 2029, 1103?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/2)\/(3\/8). Let q be (114\/(-10))\/((-2)\/10). Let p = q + 13. Calculate the greatest common factor of w and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 56335, 112672, 169009, 225346?\n\"Answer: 56337*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 3454.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 7*n + 26. Let x = 5 + -17. Calculate the remainder when (306\/x)\/((-2)\/4) is divided by h(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5. Let y = -1.2 + 0.7. What is the closest to j in 6, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 - 19*s**2 + 7*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*b**3 - 691*b**2 - 1 + 335*b**2 + 355*b**2 to the form s*b**2 + p*b + t*b**3 + x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706751 = 21*s + 2263972. Let q = 84763 + s. What is q rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066791454 to four decimal places.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olgoglhm. What is prob of sequence hl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -12 (c) -4 (d) 4 (e) -6.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 7. Let m be x(4). Let j be -3 + 3 + 0\/m. Calculate the remainder when 110 is divided by 4 + j + 32 - -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 + 5*u + 25. Give t(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - m**4 - 3*m**5)*(-1 - 3 + 3) + (m - 1 + 1)*(m**3 - m**3 + m**4).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = 3*p, p = 3*r + r + 23. Let s(o) be the first derivative of o**4\/4 + 5*o**3\/3 + o**2 - 2*o + 3. Give s(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/323 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxvxvxxvvxvxx. Give prob of sequence vxx.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -111880, -111873, -111866?\n\"Answer: 7*v - 111887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8943 and 9756?\nAnswer: 107316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3247055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -1944, -4450, -7946, -12438, -17932, -24434?\nAnswer: -31950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 766, 1139, 1768, 2659, 3818, 5251?\n\"Answer: s**3 + 122*s**2 + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102965 or 102707?\nAnswer: 102965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 1, t: 8, q: 5}. Give prob of picking 1 p and 1 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 696 = -149*r + 1229 + 973 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u, -103 - 1625 = -b + 3*u. Suppose 4*q = d + 3475, q = -q + d + b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + 1 + sqrt(288) + -1 + (-2*sqrt(288) + sqrt(288))*-1 + sqrt(288) + -2)**2.\nAnswer: -144*sqrt(2) + 2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 10680?\nAnswer: 202920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 10. Let a be (-27)\/(-4) + 3\/12. Let k be m(a). Suppose -y = 2*y - k. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 7:50 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1003187387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19242, -39.\nAnswer: -19242, -39, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, s: 3, e: 6}. Give prob of picking 3 e.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 43. Let l be v\/(-12) + 1\/4. What is the second derivative of 4*t + t - l*t**2 - 2*t**2 wrt t?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.4131 millilitres in litres?\nAnswer: 0.0504131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 - 666*v**4 - 29274*v**3 - 485520*v**2 - 2962539*v - 2505630 = 0 for v.\nAnswer: -170, -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*23\/23?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 656 - 656. Suppose -25*n + 54*n + 87 = h. Let b(m) = -m**3 - 2*m**2 + 2*m + 3. Calculate b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59642.\nAnswer: 2, 11, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9034 by -4517.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from oqzqtoeqooqtqqjt?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.088 + -0.108. Which is the second biggest value? (a) -3 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.4 (b) -9 (c) -427 (d) -2 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -140554423 (base 6) in base 9?\nAnswer: -5316556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001167 to six decimal places.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10. Solve 4*o = -4*g + x*g + 10, -5*o + 8 = 4*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + c - 2*c + (-4*c - 5*c + 2*c)*(1 - 5 + 1) to the form f*c + b and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -760251, -760254, -760257, -760260?\n\"Answer: -3*d - 760248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/9 + (-3)\/9. What are the prime factors of (-9)\/l - -6 - -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 0.9. Let r = -25\/3 - -119\/15. Which is the nearest to 0? (a) r (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 2, -103 in decreasing order.\nAnswer: 6, 2, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 + 8*w**2 + 10*w + 6. Let q(t) = 7*t**3 + 9*t**2 + 9*t + 5. Let d(p) = 6*b(p) - 4*q(p). Factor d(j).\nAnswer: 2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 21*p - 89. Let x(l) = 5*l**2 - 22*l + 90. Let d(k) = -4*g(k) - 3*x(k). What is the remainder when 323 is divided by d(16)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399 + 397. Is h - 6\/(-8) - 629419\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141.880018 + 0.052782. Let n = o - 142. Round n to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94349 is divided by 47172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12781.\nAnswer: 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*l + 5, -i - 11*l = -6*l - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4519290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f**2 + 5*f - 2. Let l(u) = 3*u**3 - 7*u**2 - 15*u + 6. Let r(j) = 8*b(j) + 3*l(j). Suppose 10 = 3*d - 8. What is the units digit of r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2 - s - 5 + 7 + 7. Let i be l(9). Solve i*z + z + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w. Suppose -1 = -11*t + 10. Let n(u) = 46*u**2 + 16*u. Let o(z) = t*n(z) + m(z). Find the second derivative of o(s) wrt s.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128491921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5278 and 105328?\nAnswer: 9584848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6\/14 - 109\/(-7) and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (1*(sqrt(70) - 1*sqrt(70)))\/sqrt(10) - ((sqrt(56)*1)\/sqrt(8) + sqrt(7) + -1 + sqrt(700)))**2.\nAnswer: -4096 - 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9661, -9673, -9685, -9697, -9709, -9721?\nAnswer: -9733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 4. Let b be c(2). Let d(g) = -g**3 - 8*g**2 - 8*g - 7. Let u be d(-7). List the prime factors of (u - (b - 2)) + 100.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184085 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6713, -13428, -20143, -26858?\nAnswer: -33573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*v + 5351, -3*q + v = 2375 - 18398. What are the prime factors of q?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4189 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2251 + 3688. What are the prime factors of v?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 0.03, -0.07, 2\/5, 1\/330?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124343 is divided by 490?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j + 4*z - 43, 10 = 5*z. Suppose -8*h - 57 = -4*y - 5*h, 4*h = y - 11. Let v be 1\/(((-35)\/y)\/j). Solve -v*x - 2*x = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -7 - 4\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 94. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1372, 1370, 1368, 1366?\n\"Answer: -2*j + 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200180209?\nAnswer: 22453, 53453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 2*j)*(0*j + j + j) + 15*j**2 - 37*j**2 - 14*j**2.\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from ntndynywtt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 551417 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438*y**3 + 57*y**2 + 46107*y.\nAnswer: 2628*y + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 + -8) - (-1 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8153\/19 + 429. Which is the biggest value? (a) 0.1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4 - 9876*s**3 - 598086*s**2 - 8370496*s + 19212312 = 0.\nAnswer: -31, 2, 4998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*b - 1018*b = t + 23, -2*t + 26 = -4*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -78\/7 - 9\/7*u**2 - 123\/7*u = 0. Calculate u.\nAnswer: -13, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + 4*n - 112, -4*u = 3*n - 90. Suppose 12 = 5*d - 2*d. Calculate the highest common divisor of d and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 825*t - 8245. Let d be v(10). What is the greatest common factor of 6530 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkgnnnzkkn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13362070 and 73491385.\nAnswer: 146982770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**2. Let y(j) = -9*j + 11*j + 41*j - 14*j - 3*j. Give z(y(v)).\nAnswer: 7436*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - n + 6 = 0, 4*i - 6*i = -n - 9. Suppose -15 = 3*p, -j + 3*p - i*p = 5. Let r(d) = d**2 - 6*d + 7. What is r(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 526.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80495600 by 61.\nAnswer: 1319600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 32\/10*3160\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-4)\/(4 - -120)). Solve -r*k + 36*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(0*p + 2*p**2 + 0*p) - 52782*p + 52689*p + 8 - p**2 - 4.\nAnswer: -5*p**2 - 93*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/16 and -59\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-12))\/(-3 - (-9453)\/3150). Let u = -1051\/2 - h. Which is the closest to u? (a) 3\/2 (b) -1\/5 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4.5. Let s = -56 - 174. Let t = s + 240. Is t at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 + g**2 + 3*g. Let r(z) = -6*z**3 + z**2 + 4*z. Suppose 8*l = 2*l - 24. Let h = -10 - -16. Suppose v + h = 3*v. Calculate l*a(n) + v*r(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/413849?\nAnswer: 1\/413849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14808262009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*t**5 - 798*t**4 - t**3 - 4*t**2 + 11*t + 1327 wrt t?\nAnswer: 6120*t**2 - 19152*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 319*n**3 + 129*n**3 + 81*n**2 + 35*n**3 - 115*n**3 - 437*n**2 wrt n?\nAnswer: 2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109672 - 223988 = -20*y. Suppose 57*r - y = 6516. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33, 4825 in increasing order.\nAnswer: 1, 33, 4825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -968456, -968398, -968340, -968282, -968224?\nAnswer: -968166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = -10. Suppose -5*f + 2*f = -j*k + 889, 0 = k - f - 223. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11)\/((k\/(k*k**(-2\/7))*k*k)\/k*k))\/(k**(-2)*k)**(18\/11) assuming k is positive.\nAnswer: k**(-64\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -2*f + 5*f - 4*f - 2, -1 = a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -110047*t - 57004353. What is f(-518)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 62, 0.4?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/3012 and 71\/24.\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d + 47*d - 13*d + 12*d**2 - 11 - 18*d to f*d**2 + p*d + m and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -772 - -770. Which is the second biggest value? (a) -0.2 (b) -79 (c) 1\/4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - u - 20 = -7*a, 12 = 3*a + 2*u. What is the greatest common divisor of a and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -372, -1204, -2804, -5424?\nAnswer: -9316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + q**3 - 5*q**2 - 2*q**2 + 9*q - q. Let y be i(-8). Solve 3*z - 4*z + 3 = y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16454 - 3*c**2 - 16456 - 7*c**3 - 3*c + 3*c**3 - 4*c**3. Give t(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06595, 5, 19 in decreasing order.\nAnswer: 19, 5, 0.06595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -35. Sort h, -5, 3.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h = 57. Suppose -20*o = -h*o + 3. Is (-675)\/(-9) - (o + 1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9836.514 centuries?\nAnswer: 983.6514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4091 (b) -0.4 (c) 38\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 891 and 486.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.023 + -0.0229195. Round q to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 39 (c) 4 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a + 18. Let r = 28 + a. What is the tens digit of 256\/r - 26\/(-65)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58552 by -4504.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from yzoymvyrzryrom.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 8:30 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Let q = 19 + -14. Solve x*h - 20 = -0*h - 5*w, -q*h - 4 = -w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 29*k**3\/6 + 10*k + 138. Let l(o) be the first derivative of x(o). Let s(z) = 9*z. What is s(l(c))?\nAnswer: 261*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + 0.08. Put 3\/2, d, 2\/7 in increasing order.\nAnswer: d, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8177 is divided by 2034.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7095530?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2346*r + 16345 = -355*r - 47367 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3, 0, 1, -15 in descending order.\nAnswer: 3, 1, 2\/9, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n + 551. Let m be l(-24). Which is the second smallest value? (a) -2 (b) 1\/7 (c) m (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Let y = 73.11 - 1.11. Let r = -68 + y. What is the closest to a in 0, -1\/3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3, -1, 3\/7 in decreasing order.\nAnswer: 3, 3\/7, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m**2 + 179 + 39*m**2 - 290 + 184 to the form u + o*m + t*m**2 and give u.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n + 2*n. Which is the second biggest value? (a) n (b) 1\/3 (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)\/(-1*sqrt(3) - sqrt(3)))\/sqrt(4) + ((sqrt(700) - (sqrt(700) + -4))*-3 + sqrt(700) - sqrt(700)))*-3*-2)**2.\nAnswer: 432*sqrt(7) + 5247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5080687.\nAnswer: 5080687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let n(y) = 2. Let r(f) = -5*k(f) - n(f). What is the units digit of r(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*d + 220*d - 482*d)*(8*d**2 + 9 - 9)*(6*d - 4*d + 0*d) in the form g*d + o*d**3 + b + t*d**4 + m*d**2 and give t.\nAnswer: -3968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -26*q - 624. Let l be v(-24). Let i = -5 + 8. Solve l*k + i = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(3) + sqrt(39))\/sqrt(3)*4.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + f - 2*f)*(14311 - 7664 + 4612 + 10234) to the form w + x*f and give x.\nAnswer: -42986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/812, 2, 21, 2\/15 in decreasing order.\nAnswer: 21, 2, 2\/15, -1\/812, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7*v = 108. Suppose 2*q + 3*r - 9 = 0, 5*q - 4*r + 0*r = -12. Put -3, v, q in ascending order.\nAnswer: v, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 109*u + 113*u - 1.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/7 + -13\/21. Which is the closest to -4? (a) 4 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59\/38 + -3\/2. Let r = -0.1 - 1.84. Let n = -0.06 + r. Which is the second smallest value? (a) 1\/4 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141773465 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 26*t**2 - 18*t**2 + 11935*t**3.\nAnswer: 11935*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 2. Let b be q(-1). Suppose -f + 4*j - 22584 = 0, f - b*j - 45220 = 3*f. What is f rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602804800 rounded to the nearest 1000000?\nAnswer: 3603000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3805573 rounded to four dps?\nAnswer: 0.3806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1\/8, -2, -25\/8, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -700\/477 + 1551524\/2385. Let y = -1910\/3 + n. Calculate the common denominator of y and -21\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10385 = -74*j + 12383. Suppose 2114 = 4*l - 686. Calculate the remainder when l is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/154192064 and -19\/312?\nAnswer: 462576192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Let o be (3 - -4)*2\/(-1). Let t be c\/(-7) - 504004\/o. Round t to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a8 + 18a?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-3*s + 6*s + 0*s) + (3*s - s - s)*(-1 + 0 + 0) - 2 + 2 + 4*s)*(-4*s**2 + 2*s**2 - 2*s**2).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-152)\/(-36) + 6\/(-27). Let d be 4\/(l\/(-3)) - -7. What is the derivative of 2 - 4*g**4 + 5*g**d - 3*g**4 + 4*g**4 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (51075\/(-110) - 4) + -1. Let y = 473 + d. Calculate the common denominator of -87\/38 and y.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-2)\/4 - -2. Let t be (1 - 1)\/h - 0. Suppose x - 1800000 = -t*x. Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vc when two letters picked without replacement from hchcvhhvxvy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*c + 2609 = -4684 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6307 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, -12\/175, -1732 in ascending order.\nAnswer: -1732, -0.3, -12\/175, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1030\/(-48))\/(-103))\/(9\/12).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*y - 4 - 440 = 0. Which is the closest to 1? (a) y (b) -0.5 (c) 28\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*d - 55, -5*j - d = -0*j - 35. Let r(k) = -6*k + 38. What is r(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 49 = -s. Let v be (s\/5)\/((-25)\/1500). Suppose 16 = f + 3*u, -3*f = 3*u - 0*u - 18. Solve -v - f = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -3, -13 in increasing order.\nAnswer: -13, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 2, o: 7}. What is prob of picking 1 x and 2 i?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5886 to 1 decimal place.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-4)))\/(f**(-4\/3)\/f)*(f\/((f*f*f*f**4*f)\/f))\/((f**(-3\/11)*f)\/f) assuming f is positive.\nAnswer: f**(-244\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10024.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -756*x - 20261. Calculate y(-19).\nAnswer: -5897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802*j + 938160 = -730*j. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1448, -2417, -3386, -4355?\n\"Answer: -969*g - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -294 + 291. Suppose -c = c + 20. Let s = -15 - c. Sort s, -4, a.\nAnswer: s, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 1408.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/1485 and 8\/97119?\nAnswer: 485595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -30\/13 (c) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188 plus 0.3?\nAnswer: 1188.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + -4949b8?\nAnswer: -494980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4649*b - 175 + 81 + 94.\nAnswer: -4649*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 + 61. Let s(j) = -j**3 - 5*j**2 - 9*j - 5. What is the tens digit of s(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 64 - 42 - -37\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17391 + -86954\/5. Let v be (-1)\/36 - 2\/9. Sort -1, 0.1, v, m in ascending order.\nAnswer: -1, v, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/2, -2, 1, 3?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 68. Let w(x) = -3*x**2 + 20*x + 20. Let v(p) = 2*p**2 - 14*p - 14. Let k(o) = -10*v(o) - 7*w(o). Calculate q(k(g)).\nAnswer: -2*g**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -17*c + 16*c. Solve j - 22 = -j + 4*b, -c*b = 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/114 + 12\/(-114). Which is the third biggest value? (a) -0.1 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-3*98\/(-28). Solve -5*x = -a + 2, 0 = 4*a + 5*x + v - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/13)*z*z**3)\/(z\/z**(-3)*z*z**(2\/7)) assuming z is positive.\nAnswer: z**(-19\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 10, 19856, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1695272 and 51\/1695272.\nAnswer: 1695272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxkzkkxkzzkkkqk. What is prob of picking 4 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -845414214409 - 0.3\nAnswer: -845414214409.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 215 + -210. Let g(u) be the first derivative of 2\/3*u**3 + 4\/5*u**5 + 0*u**2 + 0*u**4 + 0*u - a. What is the third derivative of g(s) wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + 29 + -3 + 19 + 33 + -44?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.7 + -7. Let j = 0.63 - 0.03. Let r = 0.4 - j. What is the second biggest value in -2\/7, l, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 7. Let c be k(4). Suppose c*j - 106 = -7*b + 2*b, 10 = 5*j. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22.806324 or -1\/3?\nAnswer: -22.806324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 134*x - 23235. Give v(174).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 7.81. Let l = c + 0.79. What is l rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)\/y*y)\/y)**(-5\/4) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, 1 i, and 1 g when four letters picked without replacement from qqigttttvt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5\/15 - 998*o**4\/15 - 90484*o**3\/15 + 1131248*o**2\/15 + 406912*o\/5 = 0?\nAnswer: -374, -136, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 193662630 divided by 42\nAnswer: 4611015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1137596 is divided by 177.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44723 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15294 and 162.\nAnswer: -2477628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3. Suppose -c + v + 2 = 0. Solve -5*u - c = 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f - 61. Calculate a(11).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d + 3. Let i(z) = 36*z + 16. Let h(f) = -3*i(f) + 16*n(f). Let v(y) = -5*y + 4*y - 2*y + 5*y. Give v(h(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623448 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.94 - -8.06. Let x = -0.5 + -34.5. Let z = x + w. Which is the third biggest value? (a) z (b) -1\/6 (c) 4\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0, -2, -5 in decreasing order.\nAnswer: 14, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/1 - -1) + -982 + 3. Let g = k + 1756. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-15) - 2\/6. Suppose 0 + 2 = q*x. Let p be (x\/(-2))\/(2\/(-12)). Solve -p = 2*b + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -29091.626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -43*c - 4. Let g be f(-4). Suppose -j = -4*j + g. Suppose -5*o + 71 = 4*i, 2*i - 1 = 5*o + 12. What is the greatest common factor of j and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (112\/1008)\/(1\/2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjvvvjjjjvj. Give prob of picking 4 j.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:15 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)*l\/(l**(6\/13)\/l*l)*l assuming l is positive.\nAnswer: l**(-136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56347165 and 19160?\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m + 7*m**3 + 84*m**3 + m + 558 + 80*m**3 - 81*m**3 with respect to m.\nAnswer: 270*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 311873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*r + 170 - 170 to the form m*r + d and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-5 + 7) - -1 - 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 3, g: 2, o: 4}. Give prob of picking 1 g and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*k + 579 = 124 - 133 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(5) + 1 + -2 + (6*sqrt(27)\/sqrt(144))**2.\nAnswer: sqrt(3) + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) 0.5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/3 - (-11 + 1105\/104 + 13)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-1 + 12\/9). Let o(p) = -2*p + 2 - p - p**2 - 123*p**3 + 4*p**2 - 2*p**2 + 167*p**3. What is the tens digit of o(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2. Let y(x) be the first derivative of x**3 - 7. What is h(y(m))?\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + 41?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 9:05 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269632 = -368*u + 400*u. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 216*q - 2999. Calculate the remainder when 4586 is divided by o(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 0*y + 0*y**2 + 29 + 0*y**3 + 1\/16*y**4. Factor a(g).\nAnswer: g**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50428 divided by 3602.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/((r**(-21\/5)*r)\/r*r))\/r)\/r**(-12\/7) assuming r is positive.\nAnswer: r**(242\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30124047 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yciufucoyoyuficy. What is prob of sequence oicu?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n**2 - 55*n + 18. List the prime factors of i(11).\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxtxbxsssx. Give prob of picking 1 u and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -37 - 32*a + 0*a**2 + 0*a**3 + 13\/4*a**4. Differentiate m(n) wrt n.\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26931827.\nAnswer: 13, 23, 90073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -3\/14*t**4 - t**2 - 4*t - 4\/7*t**3 - 1\/280*t**6 + 0 - 3\/70*t**5. Let r(l) = 0. What is l?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -43. Let x = -51\/2 - f. Put 0.01, -2\/11, x in decreasing order.\nAnswer: x, 0.01, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475227.\nAnswer: 3, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/3 + 42*p + 62\/3.\nAnswer: 2*(p + 31)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ottttoatooaot. Give prob of picking 3 t and 1 o.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.258233 and -19.4?\nAnswer: -5.0097202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + 3*sqrt(11)*-3.\nAnswer: -9*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 2*u**2 + 4*u - 3. Suppose 2*s = 5 - 53. Let j be ((-3)\/(-4))\/((-6)\/s). List the prime factors of z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1129*t**4 + 1129*t**4 + 107*t**5 + (-2 - 2 + 3)*(-2*t**5 + 5*t**5 - t**5) + 2*t**5 - 4*t**5 + t**5 - t**4 + t**5 - 3*t**5 + 3*t**4.\nAnswer: 102*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t*w**3 - t*w - 1856635*t - 16*w**3 - 6*w**2 + 3*w + 1964 wrt t?\nAnswer: w**3 - w - 1856635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-51)\/20 + (0 - -4) and -87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3670 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -7*d - 5*d. Let u = d + -26. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-24\/11)*d*d\/((d*d**(3\/7))\/d))\/((d*d*d**39\/d)\/(d**(-2\/17)\/d)) assuming d is positive.\nAnswer: d**(-54622\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 4*z**2 - 5*z + 1. Calculate a(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -193, -206, -193, -142, -41, 122, 359?\n\"Answer: 2*o**3 + o**2 - 30*o - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 20296.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = -4*p, -1978614*m + 1978619*m - 21*p = 114 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 201 + 176 = 0. Suppose 31*u = d*u + 104. Solve 2*m + u = -0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 87 = 4*q + 31, -4*a = -4*q + 80. Let m be (2*(-3)\/9)\/(q\/(-72)). Solve 2*k + 2*k - 5*l + 8 = 0, m*k + l - 13 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 77 = 5*x, 26 + 30 = -3*l + 4*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 81*g**2 - 992*g - 151. What is d(66)?\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(7 - (-180)\/(-25)) + 405574\/10?\nAnswer: 2, 7, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11553149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58260 is divided by 29029.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541878 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205300, -205294, -205288?\nAnswer: -205282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 25. Let v = p + 12. What is the least common multiple of v and 25 - 0 - (-5)\/5?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -854*d**3 - 5*d**2 + 905*d + 25. Let v(n) = -1281*n**3 - 8*n**2 + 1358*n + 40. Let m(y) = -8*q(y) + 5*v(y). Find the second derivative of m(r) wrt r.\nAnswer: 2562*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 6*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:11 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 3:21 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 - 2. Suppose 14 - 4 = 5*v. Let y be h(v). Suppose -y = -z - 3*a + 14, 3*a + 96 = 3*z. Calculate the remainder when z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13364 + -11385. Calculate the remainder when t is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59261540 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 15 = 4*j + 26. Solve 21*a = j*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2086)\/(-5662)*11\/308*12\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 217 - 216. Calculate the smallest common multiple of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y - 3*i + 122 = 0, 5*i - 5 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1106822 (b) 2\/7 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + -6 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -32. Suppose -2*u - 18 = -4*i + u, u = 2. Let y be (i\/v)\/((-3)\/(-2)). Which is the closest to y? (a) 0 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30400 divided by 33.\nAnswer: -30400\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1110*o**3 - 3*o**2 - o + 1. Is l(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from {q: 2, m: 7, l: 3, f: 5}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.2710577 to 3 dps.\nAnswer: 155.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/2 + 11361*q**2\/2 - 5375172*q - 5380854.\nAnswer: -3*(q - 1894)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1585*g + 4357*g - 7470*g - 8951*g.\nAnswer: -13649*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -783904010 divided by 156780802\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38121?\nAnswer: 3, 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3268 + 5514. Suppose 3*t + 3*y - 13173 = 0, 5*y = -7*t + 5*t + k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 3 + o**2 + 8 in the form q*o**2 + t + p*o and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 9:32 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*z**2 - 24*z**2 - 23*z**2)*(z + 13*z**2 + 16*z**2 - 31*z**2).\nAnswer: 46*z**4 - 23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 + 301*f**2 - 66*f - 672. Determine d(75).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**5\/3 - 13262*y**4\/3 + 43167358*y**3\/3 + 5322603788*y**2\/3 + 166314995393*y\/3 + 311685126722\/3 = 0?\nAnswer: -59, -2, 6691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-34)\/187)\/(-2*5\/(-220)*-6). Factor 2\/3*c**2 - 4\/3 - t*c.\nAnswer: 2*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -3.9. Let f be (-30)\/9 - (-6 - -2). Put a, f, -0.4 in decreasing order.\nAnswer: a, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(3*y**3 - y**3 - 4*y**3) - y**3 + 4*y**3 + 0*y**3 - 3*y**3 - y**3 + 2*y**3 + (-1 - 2*y**2 + 1)*(0*y - 4*y + 6*y) - 3*y**3 + 0*y**3 + y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (-27 - -28 - (0 + 3)). Let h be b + 1 + 2024\/(-286). Determine p, given that -2\/13*p**2 + 14\/13*p - h = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167445?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31655100 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.11709 hours to microseconds.\nAnswer: 130021524000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651251.\nAnswer: 651251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*z = -z + 78, 408 = 5*r + 4*z. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.029 and -0.0187214.\nAnswer: -0.0005429206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-588)*(-21)\/6\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008 - -21493880161.\nAnswer: 21493880161.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -472007183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - (12 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/5*w**2 + 6\/5*w**3 + 0 + 18*w.\nAnswer: 6*w*(w - 5)*(w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1159.1 - 1115. Is -1 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -108. What is the greatest common divisor of 70 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3454112553 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120.9839 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 1:23 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96272 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/96 and 103\/224?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 7*j)*(-60 - j + 35 + 58).\nAnswer: -3*j**2 + 99*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 1 - 9. Let v = z - 14. Let n be 1\/v + 66\/(-24). Is n equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = r, -2*b = -b + 5. Sort -12, r, -94, -0.4.\nAnswer: -94, -12, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 236*q - 240*q - 6930 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 d when three letters picked without replacement from todemoojedoe?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80921626 is divided by 125.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 160 = 5*j. Let c be 8\/j + (-46)\/8. Let f = 14 - c. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337 times 1\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j - 65. Let h be s(5). Let m(i) = 3*i**2 - 25*i + 30. What are the prime factors of m(h)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*o - 3 = 0, -2*x - 5*o = -3*o. Let b = -419 + 17599\/42. Which is greater: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*a = 0, -2*a + 4 = -5*f + 18. Suppose 4*u = -u + 15. Find t, given that -2 + 0*t**3 + 3*t + 0 + f*t**2 - u*t**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -966 and 228478281237.\nAnswer: 228478280271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2399162 to 2 decimal places.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1907561561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:48 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9311918*c**2 + 2327982*c**2 + 2327977*c**2 - 6 - 28 + 2327979*c**2 + 2327979*c**2.\nAnswer: -c**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/5410 and 91\/550.\nAnswer: 297550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -44. Factor -r - 8*c - 20 + 53*c - 5*c**3 - 15*c**2.\nAnswer: -5*(c - 1)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 + 35. Is -0.1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1418*i - 24. Let s be f(-2). Let d(t) = 278*t + 3. Let n be d(-6). Let u = n - s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75240 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -312638100 divided by -504255\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 11*y**5\/4 + 18*y**2 - 105*y. What is the first derivative of b(p) wrt p?\nAnswer: 165*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/(-80))\/(9\/(-5)). Sort 4, g, -1\/5 in decreasing order.\nAnswer: 4, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -40. Suppose 7*r = 28 + p. Suppose 0 = 7*l - r*l + 4. Solve 0 = -f + 4 - l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 103 (b) 1 (c) -4 (d) 0.1 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 - 2*k**4 - k**4 + (6*k + k**2 - 6*k)*(-4*k + k + 4*k)*(0*k + k - 3*k)*(-3 - 1 - 3).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -40*o + 1. Let q be 1 + -3 - (4 - 5). Let x be h(q). Suppose 4*s = -2*d + 52, d = -s + x - 15. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - p**2 + 13*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24473 (base 8) to base 10\nAnswer: 10555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 1054, 2094, 3556, 5434, 7722?\nAnswer: 10414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 46. Let l be z(7). What is the hundreds digit of (82\/26 - 6\/l) + 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 3?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79\/4 or 11?\nAnswer: -79\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11103 and 152?\nAnswer: 1687656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 133971 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y - 9. Solve y*t - 3*v = 2*t - 7, 4*t + 5*v = 40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**3 - 4*y**2 - 18*y - 4. Let s(g) = -8*g**3 + 3*g**2 + 18*g + 3. Give -4*s(k) - 3*t(k).\nAnswer: 5*k**3 - 18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - y)*(y**2 - y**2 + 2*y**2) + (-288*y**3 + 137*y**3 + 23*y**3)*(-4 + 9 - 2).\nAnswer: -386*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -5*m**4\/24 + 13*m**3\/2 - 15*m**2 - 56. Let b(h) = -4*h + 38. What is 6*b(s) - 5*j(s)?\nAnswer: s + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 1 + 1, -5*g - 2*a = -249. Suppose 5*c - 104 = 2*q, -2*q + 10 - 100 = 2*c. Let y = q + g. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 5:19 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.742 and -346.\nAnswer: -2678.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 6*q. Let r(t) = -t**2 + 7*t. Let c(u) = 7*f(u) + 6*r(u). What is c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 12. Determine h, given that 15*h**2 - 4*h - 6*h**3 - k*h**4 + h**3 - 5*h**5 + 14*h = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r - 3. Let d be -2 - (-8 - -5)\/(6\/92). Let o(a) = 27*a - 3 + 4 + 19*a - d*a + 5*a**3. Give o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -1 in descending order.\nAnswer: 11, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.5804322 nanoseconds to weeks.\nAnswer: 0.0000000000002291343125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**2 - 2*b**2)*(-6*b + 4*b + 0*b) - 3*b**4 - b**4 + b**4 + 3*b**2 - 3*b**2 - 4*b**4 - 2*b**4 + 2*b**4 - b**4.\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**3 - 37*i**3 + 85*i**3 - 24 + 24.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/13176 and 43\/19764?\nAnswer: 39528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + 0*i**2 - i**2)*(-195 + 54 + 15872*i - 15873*i) as s*i**3 + p + u*i**2 + d*i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqf. Give prob of sequence fq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 38, 39, 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 4*l**4 - l**4)*(10403 - 10403 - 185*l).\nAnswer: 740*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6682 >= 6682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + z + 7*z)*(-3*z - 2*z**3 + 3*z) + (2*z**2 + 1 - 1)*(-11*z**2 + 0*z**2 + z**2).\nAnswer: -46*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16962454 and 566.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 271*o**3 - o**2 - 6*o - 5. Let g be j(6). Suppose 0 = -4*p - g + 12459. What is p rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from peeebpewebeqbpq?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111010010 - -100000111?\nAnswer: -1110011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 865704198 a multiple of 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 g when three letters picked without replacement from kwgnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 8*c**2 + 7*c + 5. Suppose 0 = 3*a + n - 15, 25 = 3*a - 5*n - 8. Let d = a - -1. List the prime factors of z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374727562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -3*g - 5*y - 24, 2*g + 4*y - 14 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-208) - (7 - 623\/91).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 25*y**5 + 190*y**4 - 584*y**3 - 3056*y**2 + 11152*y - 9248 = 0?\nAnswer: -34\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 532730, 10.\nAnswer: 10, 53, 532730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:56 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 4*u + 2. Let d be v(-1). Let b(t) be the third derivative of 0 + d*t + 1\/12*t**4 - 3\/20*t**5 + 0*t**3 - 2*t**2. Factor b(k).\nAnswer: -k*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**2 - 399750248*a + 19975032597007688 = 0.\nAnswer: 99937562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 - -78. Let y(c) = c + 16. Let k be y(u). What is the third biggest value in -1, k, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -254c - -67?\nAnswer: -24b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0589816718 and 0.06.\nAnswer: 0.1189816718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 860 + -3?\nAnswer: 85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -62590.\nAnswer: -56331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114373 and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10a8405 + 1?\nAnswer: -10a8404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 19718*y**2\/7 + 137940*y\/7 + 118224\/7.\nAnswer: 2*(y + 1)*(y + 6)*(y + 9852)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17217 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 23*l**4 + 4*l**2 + 383*l - 4. Let q(j) = -44*j**4 - 9*j**2 - 766*j + 9. Let n(o) = 4*q(o) + 9*v(o). What is the second derivative of n(d) wrt d?\nAnswer: 372*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 times 5?\nAnswer: 9320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a (base 11) to base 3.\nAnswer: -11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -7) + -10 - (6 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3851, 3842, 3819, 3776, 3707, 3606, 3467?\n\"Answer: -m**3 - m**2 + m + 3852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144740, 289479, 434218?\nAnswer: 578957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.21 - -0.21. Let d = -71 - u. Let o = 22 + d. Sort 0.5, 1, o in descending order.\nAnswer: 1, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498 divided by 601.\nAnswer: 498\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4260 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 31. Suppose 4*j = z + 6. Solve -2*b - j*i = 2*b, 2*i = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.91377 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001001101111011 + -10?\nAnswer: 1100001001101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 106252784395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3448.1 rounded to the nearest ten?\nAnswer: -3450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -207.5264*2\nAnswer: -415.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - (3 - -2)) + -26. Which is smaller: -0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 27*y + 158. Suppose 0 = 3*u + 5*m + 25, y*u + 9*m - 5*m + 20 = 0. Solve -3*f - 12 = -u*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -l + 5, -6*t + t + 15 = 2*l. What is the remainder when 38 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10*u + 8*u**3 + 14*u - 24*u.\nAnswer: 8*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192948 is divided by 27122.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-104))\/((-1)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 7*y + 7. Let i be l(6). Let t(p) = 105*p - 4816. Let f be t(46). Is f at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 542746887 to the nearest 100000.\nAnswer: 542700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 + (-442)\/51)\/(3\/755046)?\nAnswer: 2, 41947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -703 (c) 3.4 (d) -6\/11 (e) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((84 - 54 + 66)*(-2*r + 5*r - 4*r) - 4*r + 5*r - 3*r)*(-5*r**2 + r**2 + 2*r**2) to the form k*r**2 + b*r**3 + n*r + q and give b.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-210)\/(-66) - (-2 + 24\/11). What is the units digit of ((-6)\/14 - g\/(-7)) + 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b0 (base 12) to base 6.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:55 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-440)\/6*6\/(-4)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 186. Calculate the remainder when h is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -11*y**7\/70 + 7*y**4\/6 - 4669*y**3\/3 + 2835*y**2. Differentiate x(q) wrt q.\nAnswer: -132*q**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*j + 828, u + 92 - 349 = 5*j. Let a be 1*(11\/1*3 - -1). What is the greatest common factor of a and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -16. Let t = v - 6. Suppose z - 38 = -i, 5*z = -i + t*i + 204. What is the greatest common factor of 100 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 344*h - 2173. Give d(5).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17514788?\nAnswer: 2, 4378697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 + 19 = 3*l, l = 5*p - 23. Suppose -14 = -0*y - l*y. Solve 0 = -3*c + y*c + 4*s - 12, 2*s = 4*c + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 + 30*t**2 - t - 15. Calculate v(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 3*w**4\/4 - w**3\/3 + w**2\/2 - 2*w - 23. Calculate the remainder when 117 is divided by d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, -3, -4, 10, -5 in decreasing order.\nAnswer: 10, -3, -4, -5, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -236610 (base 10) in base 7?\nAnswer: -2003553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-246)\/(-9) - (-2)\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -4, 501, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 - 10. Let d be (-1 - (-8)\/20) + (-1 - -1). Which is the third biggest value? (a) s (b) -2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 24*b - 21. Let m be z(23). Let p(d) be the first derivative of 3\/4*d**4 + 6 + 0*d + 3\/2*d**m - 2*d**3. Determine a, given that p(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 61 + (4 - (1 - -1))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 2*r + 2. Let z be d(2). Let l = 53.73 - 53. Let m = -1.27 - l. What is the nearest to z in -2\/9, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5955*f - 1 - 2*f**2 + 1 - 11933*f + 5978*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11006 divided by -37.\nAnswer: 11006\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.074 - -1.074. What is the nearest to r in 0.1, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*q + 26911 = 538*q + 43258 + 39653 for q.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-6794.\nAnswer: -20382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121111200 + 11?\nAnswer: -121111123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/7, -0.1, -2\/3, -0.19?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*l + 12 = 0, -2*i = 370*l - 391*l - 54 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 2:19 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**5 - 2*n**4 - n**3 + n. Let w(k) = 233*k**5 - 2*k**4 - k**3 + 169*k. Let m(z) = -l(z) + w(z). What is the second derivative of m(d) wrt d?\nAnswer: 4680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 12*f + 4. Let s be y(-12). Let d be 2\/s - (-25)\/2. Let n = -8 + d. Solve a - n*c - 5 = 0, -2*a + 3 - 19 = 3*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13209, 27334, 0 in ascending order.\nAnswer: -13209, 0, 27334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110110001 + 10001111010000010?\nAnswer: 10001001011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let g = 6.3 + -6. Let x = 0.3 - g. Which is the closest to 0? (a) z (b) 4\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -5*q + 6*q, 0 = v - 3*q - 8. Let b(s) = 1 - 8*s - s**2 + 7*s + 0*s**2. Let d be b(2). Put v, 4, d in descending order.\nAnswer: v, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 60*n - 57. Let l be p(1). Suppose 0 = 3*d - 43 - 35. Suppose o - 8 = -t - o, 3*o = -5*t + d. Put t, 0, l in ascending order.\nAnswer: 0, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242219206 to the power of 1\/3, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 18*p**2 - 3*p - 19. Let b be t(-18). Suppose 32*z - 2*h = b*z - 574, z = 5*h + 180. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3*i - 5*i)*(-3*i**2 + 3*i**2 + i**3)*(-11 - 21 + 4).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4*1)\/1)\/1. Let i be (-70)\/15 + 2\/(-6). Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -14*i + 6. Suppose 5*k + 21 + 3 = 2*f, -3*k - 4*f = 4. Let p(q) = -q - 1. Let a(d) = k*p(d) - u(d). Is a(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 - 2 + i**3 - 2126*i**2 - 5*i + 0*i**3 + 2125*i**2 in the form u + c*i + o*i**4 + z*i**2 + w*i**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -3, 0.3, 129, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 - 504*z - 2595 = 0. Calculate z.\nAnswer: -5, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3121 + 3120. Which is the closest to 2\/3? (a) -15 (b) 2 (c) q (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -960297, -960301, -960315, -960345, -960397, -960477?\nAnswer: -960591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18001696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21.152814 months?\nAnswer: 0.17627345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/50 and 31\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5956 - -5958. Sort 1\/7, i, 22 in increasing order.\nAnswer: 1\/7, i, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1743802*m - 21*m**2 + 41*m**2 + 37*m**2 - 1743802*m.\nAnswer: 57*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5116962 millennia?\nAnswer: 51.16962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 350613 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132002881?\nAnswer: 647, 204023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 42975 and 42977 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*f + 13 = 0, 4*m - 4*f + 0 + 12 = 0. Let y be (-28)\/(-12) + m\/6. Suppose 3*v = 22 + y. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1029*w + 6023 = -6325 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00076645 rounded to 5 decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-6)*8\/(-20). Is 1*(116 + 4) + x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/20 + k**4\/6 + k**3\/6 + k**2\/2 - 2*k. Let o be w(-2). What is the first derivative of 15*l - 4 - o*l + 2*l**2 wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 841\/317102?\nAnswer: 841\/317102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 2 + 0*w - 27.\nAnswer: -w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -33 - (3 + (-20 - -9)) - -10?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/252 + -7\/36. Let l = -11 - -13. Suppose -4*b + l*b = -b. Is j bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.4, -3, -1.5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -15. Suppose -5*u = 5*j + h, -2 = 3*j + u + 3. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 22 = -4*c, 7*c - 3*c + 3*w = 6. Suppose t = c*p - 9, -4*t = t + 2*p - 6. What is the derivative of 3 + t - 1 - 1 - 4*m**2 wrt m?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 = -3*p - 7, 0 = -4*p + 20. Let j(d) = 33 - z + d - 19 + 0*d. Give j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6166998*o + 20. Let n = 39 + -29. Let f be q(n). Suppose -f = 6*r + r. What is r rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 5*p + 4. What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 32 - 72) + -44 + 26?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 999 + -811. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 29 + 223 = -56 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/16 + 0)*(-2470)\/(-15). Calculate the highest common divisor of m and 871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -10*1\/(-2). Suppose 2*k = 6*k - o - 13, -3*k + 18 = n*o. Solve 5*g + k + 6 = -5*h, g = h - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40\/12*15 - 6.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {w: 14, m: 4}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 68*q. Let j(t) = 448*t**2 + t. Give j(v(a)).\nAnswer: 2071552*a**2 + 68*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -205437775\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + (-175)\/60)*214\/26. Let l = -1\/52 + i. Let x = -0.02 + -1.98. Sort l, x, -0.2 in ascending order.\nAnswer: x, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (17 - (0 - -6))) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 43425*h - 29541078.\nAnswer: 3*(h - 651)*(h + 15126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 - 100*m\/7 - 48\/7 = 0.\nAnswer: -3, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208908 + 7994*s + 208908.\nAnswer: 7994*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {h: 4, j: 4, e: 3, x: 3}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7 - 25*x**2 + 32*x**2 - 17*x**2 + x + 5*x. Let g(a) = -9*a**2 + 5*a + 6. Calculate 6*f(w) - 7*g(w).\nAnswer: 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 + 73 + 197*a + a**3 - 8*a**2 - 396*a + 199*a as l + r*a + i*a**3 + p*a**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 5981548013 + 5981548013.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/(5\/(-14) - (-222)\/259). Let v be (1 - -1)*(-6)\/(-4). Sort r, 5, v, -9 in increasing order.\nAnswer: -9, r, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584711357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.4 and 27?\nAnswer: -145.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15584, -30799, -45658, -60161, -74308, -88099, -101534?\n\"Answer: 178*f**2 - 15749*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 15. Let f be 12\/(-27)*6*-42. Calculate the greatest common factor of f and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1\/42*z**7 + 44*z - 1\/15*z**6 + 0 + 0*z**2 + 0*z**3 - 1\/20*z**5 + 1\/6*z**4. Suppose i(x) = 0. Calculate x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 8. Let n(v) = v + 1. Let k(a) = 2*j(a) - 4*n(a). Let c be k(0). Factor 0*m - 8 + 17*m + 2*m + m + c*m**2.\nAnswer: 4*(m + 2)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083286664 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Sort 0, -3, l.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65279\/660300 + 48\/775. Find the common denominator of x and 95\/18.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(15\/20). Let p be x\/8 - (-1)\/(-44). Let t = -2\/33 + p. Which is the third smallest value? (a) t (b) -2\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3668 - 0.3668. Sort 7, k, -0.02.\nAnswer: -0.02, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 1529224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5082 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: Express -5 + 5 + 15*a**2 + 17*a**2 as v*a + x*a**2 + y and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -2017*n**2 - 5568*n - 367. What is the first derivative of r(u) wrt u?\nAnswer: -4034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h*h*h*h\/h**(1\/9)*h))\/h)\/h)\/h)\/h)\/((h\/(h*(h*h\/((h**(9\/4)\/h)\/h)*h*h*h)\/h))\/h*h)*(h**(-2\/5))**(-2\/51) assuming h is positive.\nAnswer: h**(-12617\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 92331*n\/4 + 1199965\/2.\nAnswer: (n + 26)*(n + 92305)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**3\/3 + 13*h**2\/2 - 17*h - 3. Let r be z(-15). Let j be (-2)\/85*1*5. Sort j, 0, r in ascending order.\nAnswer: j, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 484\/3 - 161. What is the closest to -2\/3 in 8, i, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -302.1 - -302.659. What is i rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 1001010110?\nAnswer: -1001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*k + 10181 + 10881 = 0, 16847 = 4*i - k. Is 36 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 24*f + 53. List the prime factors of m(-29).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1032 + 306?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 + b + 7. Let a be d(-5). Suppose 0*c + c = -5*j + 3685, -a*j = -c - 1474. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 292925 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from bxh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) 1\/11 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -3*sqrt(99) + sqrt(99) + sqrt(99))*-4)\/(-1*sqrt(9)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - -0.6. Put t, 2\/7, 3\/4 in descending order.\nAnswer: t, 3\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-36)*1*-2532 is divided by 134?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2264, -2, -0.5.\nAnswer: -2264, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-135)\/75*10\/(-3). Solve h + h = 2*g + f, h = 4*g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/38 and 115\/24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6954 - 0.0446. Let u = a + -0.26. Let v = -4.99936 - u. Round v to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3015904890 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 14.63166 days?\nAnswer: 1264175424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + d39da?\nAnswer: d39dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5974 - -5972. What is the nearest to 1\/3 in 63, 3, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-33))\/((-12)\/(-33)))\/(275\/50)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 4476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1368 = 13*r. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 133 - 2248*o + 46 + 44.\nAnswer: -2248*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) -0.09 (b) 1086 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 2*w**4 - 10*w**2 + 10*w**2 + (w**2 + w**2 - w**2)*(4*w**2 + w**2 - 4*w**2).\nAnswer: -w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*n**2 - 34*n**2 + 18*n**3 - 40*n**2.\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*y + 33 = 0, 0 = -7*x + 3*y - 65 - 28 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 590058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/15 - r**4\/2 + 4*r**3\/3 + 12*r**2. Factor v(g).\nAnswer: 4*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -363\/8 - -185\/4. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 14 = -3*j + 28, 5*j = -10. Let k(b) = f*b**2 + 9*b**2 - 1 + 13*b**2 + 2*b**2. Is k(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 24 = 9*q - 7*q, -14*k + 10*q = 12*q + 28 + 126 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(1\/72)\/(y*y**(-1\/2))**(17\/3))**(-2\/169) assuming y is positive.\nAnswer: y**(205\/6084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 b when three letters picked without replacement from {o: 1, b: 3, l: 7, j: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.659 and -0.1.\nAnswer: 4.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -190. Suppose a + r = 5*a. Suppose 2*p = -2*n + a, -2*p = -5*n + n - 44. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12) + (-47)\/(-3). Find the common denominator of (-38)\/b*3\/(-1) and (57\/(-18) + (-40)\/(-15))*43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0.05, 0.5, 4, -2\/219 in ascending order.\nAnswer: -2\/219, 0.05, 0.5, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 14*z - 152253. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (39 + -19 - -90)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2228\/6579 - -2\/153. Let t = -1447\/86 - g. What is the common denominator of t and 26*((-49)\/24 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 30, -303, 3, -4, 5 in ascending order.\nAnswer: -303, -4, 2, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)\/q)**(-18\/7)*(q*(q*q*q\/(q\/((q*q*q\/(q\/(q**(-13)*q)*q)*q*q*q)\/q))*q)\/q)**(-25\/6) assuming q is positive.\nAnswer: q**(373\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 14*l + 5. What is the remainder when 22 is divided by b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p - 55. Let a be n(-6). Solve -10 = -3*w + a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.3 (b) 0.07 (c) 62 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 19*o**2 - 7*o**2 + 167 - 163 to j + v*o + f*o**2 + h*o**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3\/4 + 5*d**2 - 5*d\/4 - 5.\nAnswer: 5*(d - 1)*(d + 1)*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132326, -132305, -132272, -132227, -132170, -132101?\nAnswer: -132020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 - 1. Let b be c(-1). Let x(o) = 2*o**3 - 11*o**2 - 4*o + 13. Let u be x(b). Let m be 6\/(-2)*7\/(-3). Solve -u = 5*p, -2*p + 29 = q - m*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -q + 3*q - 4, 3*q = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-78)\/156)*5\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + -2*(-3 + sqrt(275)) + -2*(sqrt(275) - (-3 + sqrt(275))))*-4.\nAnswer: 8 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3691*f - 3686*f - 237 = -4*j, 200 = -2*j + 4*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-34 - -10 - -4) + 13 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*o + 15 = -0*a - 2*o, -6922*o = -6917*o - 45 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 1, n: 1, s: 5}. Give prob of picking 1 v and 2 s.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*m**2 - 161*m**5 + 319*m**5 - 159*m**5 - m**4 wrt m?\nAnswer: -60*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (142\/5)\/2 + (-495)\/2475\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 0, -3*i - 5*k = -60 + 16. Suppose 2 - 12 = -l - 4*o, 4*l = 5*o + 40. What is the remainder when i is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288329 minus 0?\nAnswer: -288329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1862 + -1856.004. What is w rounded to 1 dp?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5793*m**6 - 1941*m**4 - m**3 - 3*m**2 - 2*m + 266170 wrt m?\nAnswer: -695160*m**3 - 46584*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 5, r: 7}. What is prob of sequence jrrr?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/297 and 28\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36826 and 12.\nAnswer: 220956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*l = -163*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7816 times -4?\nAnswer: 27.1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n**2 - 3277*n - 2277. What is c(-327)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -858015*r**3 - 229*r**2 - 60*r + 33 wrt r?\nAnswer: -5148090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30505\/7 + -4363. What is the common denominator of -139\/48 and c?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - 0.54. Let p = 0.15 - l. Let u be 11\/(-4) + (-4)\/16. Which is the nearest to -0.2? (a) p (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b - 12*b - 18*b + 5*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32101904 divided by -8025476?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/203136 and 131\/828.\nAnswer: 609408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffqqfqqfqqfqfff. Give prob of sequence qf.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1700) + -1) + (sqrt(17)*-2 - sqrt(17) - sqrt(17))*3 + -3)**2.\nAnswer: -104*sqrt(17) + 45969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + 25 + -41 - 40?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.164 - 0.174. Which is bigger: -1\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 39560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(5548*f**2 + 13481*f**2 + 4843*f**2 + 10522*f**2).\nAnswer: 68788*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 5) to base 16\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8156 - -12837. Let u(w) = -w - q + 20993. Let v(p) = 246*p**2. Determine v(u(g)).\nAnswer: 246*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (0 + -3 + 1). Let s(g) be the second derivative of g**2 - 41*g + 12. Let y(p) = 3 - p**2 - 4 + 0. Determine z*s(i) - 4*y(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941671 is divided by 470833.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 24\/200551?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 19 = -2*g, 9*g + 3*a = 4*g - 38. Let s = 2 + g. Let z(m) = m**2 + 5*m + 6. Calculate z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from {p: 13, r: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**2\/2 + 15*f - 19. Let c be v(-13). Suppose 11*u + c*u = 39. Let h(n) = -n - 3. Give h(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229383?\nAnswer: 3, 7, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 8236*o + 5081539. Determine f(-617).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 412541\nAnswer: -4\/412541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 3, r: 5, p: 1, x: 1, z: 3}. What is prob of picking 1 q and 1 r?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3758*v + 390839. Calculate s(-104).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, -113, -1, -111, 29 in increasing order.\nAnswer: -113, -111, -5, -1, 28, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w + 2*k + 46, -w = -4*k + 3. Which is smaller: w or -18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1694453.\nAnswer: 103, 16451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 + 238. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.2, 4, 2.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/101, -11\/3, -1\/23?\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = 5*y - 4629, 0 = -5*y + 4*m + 4621. Suppose 10*a = 5*a + y. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26599 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7602.155l in millilitres?\nAnswer: 7602155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18 = -5*h + 2*h, 0 = -h + 3*m - 2. Suppose 0*j = -j + 8. Suppose 0 = h*x + x - r - 34, 0 = x + r - j. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -96 + 11 - -80.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 46*u.\nAnswer: 2*u*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -114000, -228322, -342642, -456960?\n\"Answer: l**2 - 114325*l + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 38*a - 102. Let t be j(3). Suppose 3*c = -g - 1, 9 = g + 3*g - c. Solve -4*q - g*w + 4 = -3*w, 2*q = 3*w + t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10351*d - 13862 - 418073 = 592814 for d.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 5278636.\nAnswer: 26393180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6*c + 213 = -3*c, -5*c = h + 65. Let j be 300\/h + 2\/7. Let r(g) be the first derivative of -g**2\/2 + 3*g - 1. Determine r(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*a - 240 = -2241*a + 1119*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 38. Let p be (-4)\/3*a\/8. What is the remainder when p\/26 - 1516\/(-52) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -23.1. Let s = 790.5 - 790. Which is the fourth smallest value? (a) s (b) -5 (c) q (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = 3*k - 12, -5*k = 2*l - 9. Let v be 0 + (l + 0 - -7). Let q(t) = -t + 1. Let f be q(-5). Solve 2*x - f = v*n, n + 3*n = 4*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 3*d + 49 + 66 + 19.\nAnswer: 3*d + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567011 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24\/42*(4\/8)\/1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70051*w - 140388*w - 11*w**2 + 70337*w.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 809 - 731. Suppose -m*i + 71*i = 0. Put i, -59, -3 in increasing order.\nAnswer: -59, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -1\/3, 0.7, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**3 + 7*r**2 - 12*r - 8. What is k(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 47463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 plus 2?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*s**2 - 66*s**4 + s**2 + 107*s**4 - 62*s**4 to v*s**3 + h*s**2 + i*s**4 + z*s + n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Let h = -536 + 4826\/9. What is the biggest value in -5, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85, -171, -257, -343?\n\"Answer: -86*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835457.\nAnswer: 7, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*t - 128 = -123, 2*v - 2*t - 10 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 3*d + b + b, b = 3*d - 121. Suppose d = a - 28. Let f(l) = -4*l - 2. Let z be f(-3). What is the greatest common factor of a and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 + 0*m - 3*m - 2*m - 2*m**2 in the form g + n*m**3 + b*m**2 + k*m and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u + 18. Let o(g) = -2*g + 14951. Determine c(o(i)).\nAnswer: 10*i - 74737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 6960\nAnswer: -76560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7*x - 31*x + 6*x + 1.\nAnswer: -32*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -0.1, -0.11, -2, -2\/3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 16*c**2 + 35*c + 16. Let o be i(18). Sort -26, 2, o, 28, 3 in ascending order.\nAnswer: -26, o, 2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/306340540 and -5\/446127?\nAnswer: 919021620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220583374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30110564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g + g - 13*g - 46*g**3 - 4*g**4 + 4 + 6*g**4 + 2*g**2 to f*g**4 + w*g + d + j*g**3 + y*g**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/9 - -1)*-3. Let v = r - -2. Find the second derivative of -3*i**4 + 0*i**v - 2*i + 5*i**4 - i wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3710.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*((sqrt(432) - (1*sqrt(432) + sqrt(432))**2) + 0) + (1*sqrt(75) + -5)**2 + 1 + 3).\nAnswer: 10*sqrt(3) + 34040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b + 8*b**2 + 4*b**3 + b - 18 - 3*b**3 - 24*b**2. Let k be o(16). Is 47 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -951049.8 to the nearest 1000.\nAnswer: -951000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14296674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -1\/7 (c) 2 (d) 4\/9 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421513 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*s + 74 = 3*s, 0 = -3*s - 6. What is the highest common divisor of 36 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164237 or 164245?\nAnswer: 164245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3 - 144*w**2 - 553404*w + 71417944 = 0.\nAnswer: -409, 146, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)\/(2\/(-1)). Let c = -13\/127 + 2419\/2540. Let g = -3\/5 + c. Is o smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4768211*a + 9. Let f be x(6). Let q = 9209257 + f. Round q to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snyyllsnsylnlnllyll. Give prob of picking 3 y.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 253 = -7*w. Suppose -4 = -4*k + 12. Calculate the remainder when w is divided by 13\/4*1*k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7751 less than -7751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35550 and 2350?\nAnswer: 37900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*j - 149, 0*n + 3*j = -2*n + 79. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = 2, -43 = x - 3*q. Let z = 53 + x. Solve 0 = -r + z - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 185, -2, -5, -0.13 in decreasing order.\nAnswer: 185, 2, -0.13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 162255 (base 7) in base 9?\nAnswer: 47846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397 + -393. Which is the second biggest value? (a) 0 (b) -0.077 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.031\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**3 - 10*u**2 - 36*u + 29. Is l(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 26*d - 44. Calculate the lowest common multiple of f(4) and 50.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(700) + 3 + -3)**2 - (-5 + 3 + (-3 + sqrt(700) + 2 - sqrt(700))).\nAnswer: 80*sqrt(7) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 197 + 195 = 94. Solve 28*h - 25*h + d = 2*l, -5*h - 8 = 2*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 191703?\nAnswer: 153362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5769628 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*g**2 - 676\/7 + 52\/7*g.\nAnswer: -(g - 26)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283 + 286. Let y(f) = 2*f**3 - 6*f**2 + 3*f + 5. Calculate the least common multiple of y(p) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30546 + -53?\nAnswer: -30632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, e: 2, c: 1, t: 4, s: 1, o: 1}. Give prob of picking 1 c and 1 t.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = -3*k, 2*k - 2*f = 3*f - 10. Suppose k*o = 2*o - 76. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*j - j. Suppose -j*b = -4*b - 6. Let n(a) = -13*a - 4. Does 11 divide n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518674 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/(b\/((b*b\/(b\/b**1))\/b)))\/b*b)\/b))**(2\/37))**(-46\/3) assuming b is positive.\nAnswer: b**(-92\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119060, 119105, 119150, 119195?\nAnswer: 119240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26b6 + -28?\nAnswer: 268b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 706880*a**5 + 73513264*a**4 + 9177663689*a**3\/5 - 19885552424*a**2\/5 + 63394413*a\/5 - 50562\/5 = 0?\nAnswer: -53, 3\/1880, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w - 4*w + 27 + 19*w + 17*w. Is m(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -540.2146224 + 523.2146. Let j = -17 - w. What is j rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15444523 + -24?\nAnswer: 15444466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 25*r**3\/3 + 6*r - 104. What is the derivative of m(j) wrt j?\nAnswer: 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8261 and -0.05.\nAnswer: 413.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -243 > -6565\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/3, 362892?\nAnswer: 362892","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33253 - 7?\nAnswer: -33260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**4 + 27*c**3 + 51*c**2 + 25*c = 0.\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 3) to base 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 - (-5 + 4 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 - 4*v**2 - 27*v - 48. Let y(z) = 2*z**3 - z**2 - 3*z - 1. Calculate h(r) - 4*y(r).\nAnswer: -r**3 - 15*r - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = -95*g + 747 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 118*s**2 - 121*s. Let q(b) = -b + 23. Calculate q(o(w)).\nAnswer: -118*w**2 + 121*w + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37, 193, 579, 1309, 2497, 4257, 6703?\n\"Answer: 19*z**3 + z**2 + 20*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20170\/42*(-6)\/(-735). Let s = l - 5\/1372. Find the common denominator of 23\/2 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 26394.\nAnswer: 211152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -15*h - 41. Suppose -9*l - 15 = -7*l + 3*l. Determine o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.944 - 0.104. Let m = f + 33.16. Which is the second biggest value? (a) m (b) 0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289272 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 31390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 5*p + 0*p + 140 + p**2 - 62 - 2*p**2 in the form j + n*p + c*p**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 72 + 42. Suppose g - 21 = -0*g. Let s(m) = -m. Let c(p) = 3*p + p - 4*p - 3*p. Calculate g*s(t) + n*c(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16*n**4 + 26*n**3 + 6*n**2 - 2*n. Let z(j) = j**4 - j**3 + j**2 + j. Let q(t) = -l(t) - 2*z(t). Determine s, given that q(s) = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**3 - 6*h**2 - 2*h - 1. Let r be b(-8). Let d = -1888 - r. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 894273, -3 in decreasing order.\nAnswer: 894273, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n = 12*n - 154 - 14 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12065 (base 13) to base 6\nAnswer: 412542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264770 divided by 2162?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 20. What is the third derivative of -10*l**u + 2*l**2 - l**5 + 3*l**5 wrt l?\nAnswer: -480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-2 + 5\/2). Let t = -90.72 - -1.72. Let k = 85 + t. What is the nearest to 3 in a, k, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 14 = 3*d - 0*k, 5*d - 2*k = 17. Suppose d*r - 3 = 3. Let m(n) = n**2 + n**2 + r*n + 0*n - 5*n**3 + 1. Give m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + (5 - 8) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bccccccc. Give prob of sequence cccb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/157)\/(((m*m*((m\/(m*(m\/(m\/(m**(6\/17)\/m)*m))\/m))\/m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-1693\/2669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4164 - 3201. What are the prime factors of z?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 + (0 - -2))*(-6590)\/8. Calculate the common denominator of 89\/10 and -3 + w\/888*(-16)\/(-40).\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.96 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -528*p + 12630 + 2682 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47431, -46975, -46519?\n\"Answer: 456*a - 47887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 7*g + 1 = 4. Is g > 9\/244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115845.9948 + -115812. Let o = -34 + f. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 4*b - 4. Let d be x(6). Suppose 4*y - 209 = 159. Let m = y - d. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 27. Let y be r(-14). Suppose 0 = 2*z - 7*z + y. Let t = 47 - 42. Solve 3*a = -0*a - z*w, -3*a = t*w + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/sqrt(4)*-6 + (-1*sqrt(392))\/sqrt(7))\/(5*3*sqrt(512)*-3).\nAnswer: 7*sqrt(7)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 3*a + 1. Let u = -2694 - -2695. Let m(c) = c - 1. Calculate u*j(z) + 3*m(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 14. Suppose 1 = b, 5*w + b + 30 - 201 = 0. Suppose y - q - w = -y, y = -3*q + 10. Calculate the remainder when y is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -1.11, -3\/5, -12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + q)*(8*q - 23*q + 11*q + q**2 + 2)*(-3*q - q + 5*q).\nAnswer: q**4 - 4*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1437, 9, 0, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.938 + -0.062. What is the smallest value in c, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -619\/3 + 2329\/12. Find the common denominator of p and 7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315603 (base 7) in base 15?\nAnswer: -3618d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10021*q + 3. Let c(g) = 90182*g - 29. Give 2*c(h) + 19*o(h).\nAnswer: -10035*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 980256333 to the power of 1\/3, to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -8. Suppose -4*o + 9*o - 30 = 0. Let s = o + q. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 68156*r - 173146896.\nAnswer: -4*(r - 13932)*(r - 3107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/59? (a) 2 (b) -2 (c) 5.9 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 23. Let h = -2 + d. Solve 4*k - 5*n = 7 + h, -5*k = 3*n + 35 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*x - 15*x + 8*x + (3*x - 4*x + 3*x)*(-1 - 4 + 3) - 3 - x + 3 in the form k + p*x and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*w = 8 - 35, w = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**3\/5 + 9988*o**2\/5 - 939929*o\/5 + 929942\/5 = 0.\nAnswer: 1, 94, 9893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 2*q**3\/3 + 1. Let t(z) be the third derivative of 1\/60*z**5 + 0 + 0*z - z**2 + 0*z**3 + 0*z**4. What is t(f(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -o - 2*o. Let q = -288 + 553\/2. Let d = q - o. Which is greater: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900.9595l in millilitres?\nAnswer: 900959.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 + -466. Let g = q + 59. Let c = -3 - -2. Put g, -4, c in ascending order.\nAnswer: -4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 4*v + 0*v)*(-1 - 3 - 5*v + 2 - v - v + 3*v + (0*v - 5*v + 2*v)*(-1 - 1 - 1)).\nAnswer: -20*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 6:26 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16480091 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(425)*2 + sqrt(425) + -2*sqrt(425)*6)**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + 13 + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/9 + 110*i**3\/9 - 106*i**2\/3 + 314*i\/9 - 104\/9.\nAnswer: -2*(i - 52)*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43460 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4017 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(1053)*-1)**2.\nAnswer: 72*sqrt(13) + 1070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 10. Let b be p(5). Suppose -5*t - 4*x - 17 = 0, -4*x - 8 + 1 = -b*t. Let m be (0 - -1) + 22\/(-16). Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36, -37, -38, -39?\n\"Answer: -f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o**2 - 11*o**2 - o**3 + 1 + 7*o in the form a*o**3 + g*o**2 + u*o + j and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2 + (1 - 6 + 3)*(3 + 2 - 3) - 12 + 0 - 1)*(0*d**2 - d**2 - d**2).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6*c - 8. Let t(b) = -2*b**2 - 12*b + 16. Let x(r) = -4*t(r) - 9*y(r). Let i be x(-7). Let w = -5 - -7. Solve -g + i = -w*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -bb0903?\nAnswer: -bb08fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 36*w - 306. Does 19 divide c(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4264 and 7?\nAnswer: 4257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125d (base 15) to base 8.\nAnswer: 7511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3786 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*k - 140, 4*h + k - 138 + 29 = 0. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5421 - 5421 = 0. Let c(r) be the second derivative of 0 - 1\/5*r**5 - 24*r - r**4 + n*r**3 + 8*r**2. Factor c(h).\nAnswer: -4*(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2692, -2695, -2700, -2707, -2716, -2727, -2740?\nAnswer: -2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 4:51 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 63 = 332. Suppose 369 - w = 2*j + 2*o, 3*o = 4*j - 573. Is 36 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128)*-1 - sqrt(128))*-5)\/(sqrt(36)\/sqrt(729)))**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21151605 or 105758022\/5?\nAnswer: 105758022\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28406537 and 4276.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - 3.5. Let z = 2.7 - -0.3. Which is the closest to 0.1? (a) l (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 12 = 3*r, 4*o + 0*o = 3*r + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) 5 (b) 0.1 (c) -3 (d) 3\/110 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*j**2 - 5430*j + 46*j**2 - 11679*j + 2289*j to the form n*j**2 + v + f*j and give f.\nAnswer: -14820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7 bigger than 6724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138316 by -20.\nAnswer: -34579\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71398.81 millennia in decades?\nAnswer: 7139881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/9 + 68*u**4\/9 + 146*u**3\/9 - 68*u**2\/9 - 16*u = 0.\nAnswer: -2, -1, 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-4) + (1 + 14)\/3. Which is smaller: d or 21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 955976771 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16192)\/(-80))\/23*(-20)\/8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68685*b**2 - 38*b**6 - 68683*b**2 - 5*b - 42*b**6 wrt b.\nAnswer: -9600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p - 2*p)*(3*p - 2*p - 3*p) + 2*p**2 - 4*p**2 + 3*p**2 + (-3*p + 6*p - 2*p)*(-2*p + 3*p + 2*p) + 0 + 2*p**2 + 0.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5761 + -31?\nAnswer: 5730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*v + 4*v + 35 = 0, 3*v + 24 = 3*c. Suppose c*j - 98 = 3*y + 43, 4*j = -2*y + 182. What is the lowest common multiple of j and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o**2. Let t(m) = -7*m**3 + 5*m**2 - 3*m - 12. Let j(k) = -t(k) - 6*w(k). Give j(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -65277, -2, -1645?\nAnswer: -1645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*r + 30, 19*b + 2*r = 14*b + 33. Solve -b*y + 3 = -22, -3*l = 3*y - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1775)\/(-575) + 4\/(-46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 7646386?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 8*n - 340 + 147 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 2. Suppose 0 = -0*c - 3*c. Suppose c = 4*l - 30 - h. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 19 - (-5 - -21)) + 0 + 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1711*m**4 + 615*m + 9. Let g(b) = -427*b**4 + 154*b + 2. Let d(z) = -9*g(z) + 2*w(z). Find the second derivative of d(x) wrt x.\nAnswer: 5052*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 4. Let v = 2.92 - 1.92. Which is the fourth smallest value? (a) 2 (b) n (c) v (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/435 and 8\/9.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001010111 (base 2) in base 3?\nAnswer: -110001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70.4 - 67. Let z = -3 + h. Sort -8, z, -5 in increasing order.\nAnswer: -8, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 7. Let t(x) = -30*x + 69. Let h(z) = 21*c(z) - 2*t(z). Let r be h(-3). Suppose -r = 2*y - 4*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, a: 1, l: 1, f: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) 1 (c) -0.425 (d) 3 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 25*n**2 + 24*n + 3. Let r be l(24). Solve -4*f = 4*t - 32, -r*t = 2*t - 3*f - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357083193 and 831?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62153507, 62153504, 62153501?\nAnswer: 62153498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-45))\/(9\/2295*-9).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 887654.6 grams in milligrams?\nAnswer: 887654600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + (-4932)\/(-20) + -5. Let x = h + -240. Solve -5*k + 2*v = 19, -6*v + 2*v = -2*k + x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 86124.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 34*z**3 - 21*z - 9. Give x(-4).\nAnswer: -2101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-70*17\/(-510)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90222745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*f + 15 = -191*f. Let v be 1\/f - 32\/10. Suppose 4*k + 31 = -k + 2*j, 0 = j + 2. Sort -1, k, v in increasing order.\nAnswer: k, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19889 is divided by 205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -21. Let j = s + 32. Let t be (-1 - 2\/j)\/((-4)\/16). Solve 0 = -q + t*l + 10, 3*l - l + 22 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30 and -1769.492881173.\nAnswer: -1799.492881173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2222 and 315524.\nAnswer: 315524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 38 = -11*g. Let h = -44 - g. Let c be (1 - 2)*h + 0. Solve 4*i + c = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**3 - 5*g - 5. Let a(f) = 2*f**3 - 3*f**2 - f - 4. Let j(u) = 5*u**3 - 5*u**2 - 3*u - 8. Let y(n) = -5*a(n) + 3*j(n). What is 5*y(p) - 4*z(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 2. Suppose c*l = 2*n + 3*n - 10, -4*n + 10 = -5*l. Let z(j) = 2*j - 1. Let y be z(2). Solve n = y*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(1\/2)*t*(t*t*t\/t**2*t)\/t*t\/t**(-2\/11)*t**5*t*t**(-8)\/t**3*t*t*t**(-1\/3)*((t*t**(1\/6)*t)\/t)\/t assuming t is positive.\nAnswer: t**(17\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -125870*b**4 + 226631?\nAnswer: -503480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140.0727 years to centuries.\nAnswer: 1.400727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 374 and 28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22030, 22007, 21984?\nAnswer: 21961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7497*m**4 - 7049*m**3 + 15951457*m**2?\nAnswer: 179928*m - 42294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -20 - 30 - 18 + 13*f + 53. Let q be j(6). Calculate the greatest common factor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -13. Let a = b + -3. Find the third derivative of -2*n**2 + 5*n**6 - 4*n**a - 3*n**6 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -36*p - 1658. Determine b(-46).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 43664.8.\nAnswer: 43668.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51807 smaller than 51804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32\/9, -1, -15\/7, -0.02?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2 (b) -15\/2 (c) -0.1889 (d) -4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u + u**2 - 60 + 29 + 30. Let z(h) = -5*h**2 - 4*h - h + 9 - 4 + 6*h**3. Determine -10*x(f) - 2*z(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 5 + 4*s - 2*s**2 - s as y*s + u*s**2 + k and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + c)*(27 + 22 - 17).\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*m - 3)*(-4 - 1 + 4) - 5*m + 4*m + 0*m - 18*m + 13*m + 44*m in the form v + z*m and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/465 and (2\/(-4))\/((-45657)\/1998 + 23).\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 q when three letters picked without replacement from {i: 7, q: 2, h: 2, z: 7}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k - 3 + 3 + (k + 5*k - 4*k)*(-2 + 0 + 0) + 3*k - k + 0*k + 0*k - k - 3*k - 1 in the form b*k + u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -308194 + -381?\nAnswer: -308545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/2, -0.02, -0.25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 21 + 9. Let q be (t\/(-10))\/(1\/(-5)). Solve -4*j + 5*j = q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220 - 255 - p**2 - 8*p**2 to the form m*p + j*p**2 + z and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = -4*h + 3*h, 4*h + 5*d = 6. Suppose 5 = -7*a + 2*a. Calculate the remainder when 44 is divided by 1*h*15\/a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1290?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.1 + 36. What is the nearest to 2 in 18, m, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 28*u - u**3 + 25*u.\nAnswer: 2*u**3 + 53*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**6\/60 - w**5\/5 - w**4 - 8*w**3\/3 - 4*w**2 + 5*w - 1. Let g(t) be the first derivative of s(t). Factor g(c).\nAnswer: -(c + 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.0554?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.134 (b) 42 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-2)\/8). Let q be -2 - (5 - 5\/(30\/36)). Sort 5, q, k in decreasing order.\nAnswer: 5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*y = 144*y - 2752 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-650)\/(-195))\/((-4)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 4. Let r(a) = -2*a + 3. Let y(d) = -4*q(d) - 5*r(d). List the prime factors of y(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157167694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 - -100. Suppose -3*l - 9 = 0, 8*l - t*l + 267 = 5*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4858\/1005 - -38\/67. Find the common denominator of -83\/33 and r.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = -2*r. Suppose -4*b - 401 = -413. Let y(u) = 11*u**2 + 3*u**3 - 9*u**2 - 4*u + 5*u**3 - 7*u**b. Calculate y(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 46. Suppose s = 3*i + 16 - 16. Suppose -3*p + 2 + 4 = 0. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-15)\/(-3))\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 14876, 2, -3, 0.\nAnswer: -3, 0, 1\/3, 2, 14876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8720, -8683, -8642, -8597, -8548, -8495, -8438?\nAnswer: -8377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 7\/4*o**4 + 0*o**3 - 23*o + 0*o**2 + 0. Let v(n) = 2*n**2. Determine i(v(p)).\nAnswer: 84*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -55, -48, -39?\n\"Answer: t**2 + 2*t - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1622 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -689.1 - -689. Suppose 2*w = -9*z + 4*z + 11, 3*z + 3 = 2*w. Which is the nearest to -6? (a) w (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.1414 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*n - 4 = 133*n. Suppose -2*t = -8 + 2. Suppose -i = 2*i - t. What is the remainder when i is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 9*d**2 + d - 30. What is m(5)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 10\/6)*-9. Suppose 0 = q*x + 3*p + 1 + 8, 5*x = -2*p - 3. Solve 3 - x = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 7*d - 115 = 2*c, -d + 261316*c - 261314*c + 113 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68238 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1185 and 1896.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 694707 divided by -1137\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-606)*5*(-498)\/3320.\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times -0.038\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/561?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 24 = -64 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) -6\/1679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*f = -0*f + 1838, 0 = -2*i + 4*f + 1808. Find the second derivative of 15*t - 914*t**4 + 23*t**5 + i*t**4 wrt t.\nAnswer: 460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13558*p - 2*p**4 + p**4 + 13555*p + 2*p**2 in the form i*p**2 + h + t*p**4 + b*p**3 + y*p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22735837941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2691 is divided by 62.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (15062\/(-408) - 5\/(-3))*-56*21\/(-441)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4)*(-16)\/(-14))\/((156\/15561)\/(-2))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j + 277. What is n(-24)?\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3115 (b) 1\/2 (c) -0.5 (d) -521 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 170? (a) -2 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66699*i + 66699*i + 2017*i**2)*(-22 + 22 - 5*i).\nAnswer: -10085*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - f - 1. Let a(y) = -3*y**2 - 3*y + 5. Let q(g) = -a(g) + 2*k(g). What is q(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/2 + 31047*s**3 + 12932245*s**2\/2 - 53219364*s + 107432360 = 0.\nAnswer: -61885, -217, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, j: 1, i: 2, b: 1}. What is prob of picking 1 b, 2 u, and 1 i?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*c**2 + 15*c - 15*c)*(-c + 0*c + 2*c) to v*c + o*c**3 + y + d*c**2 and give o.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1111 and -0.123.\nAnswer: -136.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31 + 0.69. Let g = -35.18 + x. Let d = g - -41. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 11154912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 898891 or 898894?\nAnswer: 898891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y - j = 12, -8 = -y - j. Suppose -40 = -y*z + 36. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 3. Let y be h(-4). Let c be (-26)\/y - 3\/15. Find the third derivative of v**5 + v**c + 3*v**2 - 2*v**2 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6723945 micrometers to meters.\nAnswer: 0.0000006723945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002037809 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 + 476*a**3 - 28794*a**2 + 56168*a - 27848.\nAnswer: -2*(a - 118)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 - 18 + 24)*((0 - 8 + 1)*(-l + l + 2*l) + 2*l + 0*l + 0*l) to w + a*l and give a.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5.5 - -739.338195379\nAnswer: 733.838195379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-33) - (-255056)\/(-550). Let u = -464 - d. Put u, -4, 0.07 in decreasing order.\nAnswer: 0.07, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2317802 plus -2972410?\nAnswer: -5290212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2941232?\nAnswer: 2, 7, 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 4, w: 2, o: 1, c: 1, e: 4}. Give prob of sequence wwnn.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 190159323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((2100\/9)\/5)\/6)\/(6\/27)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 2*f - 7*f**3 - 8*f**3 + 4*f**3.\nAnswer: -11*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 - 3*t**2 - 359*t + 361. Determine n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)\/(2\/10). Let l(y) be the first derivative of y**4\/12 + 2*y**3\/3 - 3*y**2\/2 - 3*y - 1. Let k(s) be the first derivative of l(s). Determine k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 421 (b) 1.5 (c) 64 (d) -0.3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81240 and 2120.\nAnswer: 4305720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:54 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-60)\/(-210))\/((-9)\/7). Suppose 8 - 4 = -4*k. What is the third smallest value in d, k, 5, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 139*d + 6*d**2 - 6*d**2 + 0*d**2.\nAnswer: -3*d**3 - 139*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 23 + 14 = 5*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8 + -5 - (-11 - 3446).\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/d**(-4\/3)*d**(-2\/19)\/d**0 assuming d is positive.\nAnswer: d**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11*y - 182 = 0. List the prime factors of (-904)\/(-6)*39\/y.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(396) + 3)*6*6)**2.\nAnswer: -186624*sqrt(11) + 8223120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302795*c + 206*c**2 + 302795*c.\nAnswer: 206*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15 + 8300\/1500)\/((-2)\/12*2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 10*m**2 + m + 23. Let s be i(-8). Suppose 3*b - 5*k + 6*k - 150 = 0, 5*b + 3*k = 246. Let n = s + b. What are the prime factors of n?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3029 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 85*u. Let j(t) = 17082*t - 5. Give i(j(w)).\nAnswer: 1451970*w - 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7*x - 3*x - 4 = 0, -2*d = -3*x + 3. Suppose 5*g - 2*a - 36 = 0, d*a = -2*g + a + 15. What is the highest common divisor of g and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003048302 rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514 divided by 6?\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/24 - n**3\/3 - 10*n**2. Let z be j(4). Is ((-21)\/(-1))\/(z\/4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iavqd. What is prob of picking 1 i and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**5\/10 + k**4\/6 - 2*k - 3. Let w(n) be the first derivative of o(n). Factor w(r).\nAnswer: -2*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 8*z**2 + 2*z - 12. Let u(f) = -f**2 + 7*f + 8. Let v be 36\/(-48) + (-62)\/(-8). Let y be u(v). Let s be w(y). Solve -s = -5*x + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/67)*u*u*u**6*(u*(u\/((u*u**10*u)\/u))\/u*u)**(1\/6) assuming u is positive.\nAnswer: u**(867\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 320 - -41022?\nAnswer: 41342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 955365.2 years in decades?\nAnswer: 95536.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, 32, 36, -3, -9.5 in ascending order.\nAnswer: -9.5, -3, -0.25, 32, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/242 and -97\/22814?\nAnswer: 250954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 12 = 4*g - 27*c, 5*c = 2*g + 1. Solve 0 = 2*k + t + 2, 4*k - 5 = 3*k - g*t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24230b + -100?\nAnswer: -24240b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 111. Suppose 5*y + n - 36 = j, -5*y + 14 + 25 = 4*n. Suppose -5*q + 3*t + 914 = y*t, -3*q + 543 = -3*t. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a (base 12) to base 4.\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, b: 5, y: 1, c: 1, g: 1}. What is prob of picking 1 g, 2 b, and 1 c?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 481\/4?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110010101111 + -111001101?\nAnswer: -11111001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-315)\/213*340\/(-1190). Which is the second smallest value? (a) w (b) 1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55939?\nAnswer: 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15796056 + 2232135. Suppose 2*g = -g + l. Suppose -2*q - 44390603 - g = 0. Round q to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/2)*q)\/q)\/(q*q**(-1\/3)*q*q*q*q))\/(q**(1\/12)*((q\/q**(2\/9)*q)\/q*q)\/q) assuming q is positive.\nAnswer: q**(-253\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.4 (c) -1\/7 (d) -51\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*l - 648816 = 2256671. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 15 = -5*z, 4*b + 5*z = 27. Differentiate -b - 1 - 5*q + 3*q with respect to q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209024 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/3 - 7*u**2\/2 - 5*u. Suppose 6*q - 8*q - 20 = 0. Let j be (q\/(-4))\/(5\/(-10)). Calculate g(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13399, -107317, -362307, -858925, -1677727, -2899269, -4604107, -6872797?\nAnswer: -9785895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:45 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (sqrt(208) + 0 + sqrt(208)))*3 - (3 + sqrt(208) + 1)**2 - ((sqrt(468) - sqrt(52))*-4)\/(sqrt(64) + (sqrt(64)*2 - sqrt(64))).\nAnswer: -224 - 43*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1221, -5081, -11577, -20709?\n\"Answer: -1318*n**2 + 94*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30300.0051692 - 30300. Let p = b + -0.0058. Round p to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922*i - 235 = -969*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -c + 24. Suppose -176 = -5*h - c*h. Solve -1 = 3*w + 3*s + 5, 0 = w - 5*s - h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084038 to 4 dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 - 36*m**4 - 129*m**3 - 180*m**2 - 84*m = 0.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 7 + -14 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4350393, 4350396, 4350399, 4350402, 4350405, 4350408?\n\"Answer: 3*l + 4350390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 10*o + 8. Let s(m) = -m**3 - 11*m**2 - 22*m - 1. Let x be s(-3). What is h(x)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -69*j**3\/2 - 57*j - 1. Let i(a) = 3*a. Give i(p(s)).\nAnswer: -621*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1013 divide 256291643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-3)\/21)\/((605\/154)\/(-55)*-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + 24\/4 - 2*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 4, 6?\n\"Answer: 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y**2 + 45*y - 19. Let n = -203 - -199. Let p(u) = -5*u**2 + 15*u - 6. Let g(t) = n*w(t) + 11*p(t). What is b in g(b) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/162 + 230\/45 + 1. Let g(n) be the second derivative of 0 + 0*n**4 + 0*n**2 + n**5 - 4\/3*n**3 + r*n. Find the second derivative of g(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o + 35 = 3*d, 3*d - 27 = -3*o. Let r(c) = -2*c**3 + 21*c**2 - 8*c - 15. Determine r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2 - 842656*a*c - 39939059*c wrt a.\nAnswer: -2*a - 842656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or 46298\/53?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -431 in 1, -40, -4, 3, 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11)\/t)\/t**(1\/8))**45*(t**(-7)*t*t**(2\/13)\/t)\/(t\/(((t*t\/t**(-1))\/t)\/t))**(-4\/15) assuming t is positive.\nAnswer: t**(-75107\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 42, 8\/5, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 722, 1215, 1796, 2465, 3222?\nAnswer: 4067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -684 (b) -5 (c) -18 (d) 7 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -q - 71, 4*q = 5*d - 0*d - 173. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 5*j - 10. What is the tens digit of n(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let b(h) = 6*h**2 - h + 2. Let g(z) = 7*z**2 - 2*z + 2. Let k(r) = -4*b(r) + 3*g(r). Calculate k(d) + 5*w(d).\nAnswer: 2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {s: 1, a: 1, y: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116174495.3 + 192.\nAnswer: 116174687.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((78\/(-135))\/26)\/(8\/40).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/2399152885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = -5*h + 196, -h + d + 42 = 0. Let t be (-3 + 1)*(-19 - -18). Let n = 5 - 3. Solve 2*j = -n*a, 5*a = t*j + 3*j - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022055 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*d = -1350, 2*h - 5*h = -3*d - 804. Let o be 0 - 7\/(h\/6). Let y = -2 + 3. Which is the smallest value? (a) y (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-270) - (-116)\/(-9). Let d(a) = -a. Determine d(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3062 (base 9) to base 5.\nAnswer: -32433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -47, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324 + -243. Calculate the remainder when 484 is divided by x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*j = 18, -5*d - 3*j - 11 = -4. Let y be (-38)\/(-84) + 1\/(-6). Let i = 0.3103 - 0.0103. Which is the nearest to i? (a) d (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -2\/11, -5.753?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50104552*g**2 + 36558277*g wrt g.\nAnswer: 100209104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2 - 1) + -3 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {q: 1, i: 4, s: 1, b: 2, r: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7258225 is divided by 383?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4\/4 - 20295*v**3\/2 + 1669233*v**2\/4.\nAnswer: -3*v**2*(v - 41)*(v + 13571)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-19)\/j*j**21\/j assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*d - 185 = -29, 4*x + 3*d - 323 = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 - -1.32. Let n = l + -1.3. Put n, -4, 5 in decreasing order.\nAnswer: 5, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 24. Solve -2*w + s = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -71968, -72077, -72188, -72301, -72416?\n\"Answer: -r**2 - 106*r - 71861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2354 - 12763 - 31710 = 547*w for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 8*y**2 + 8*y - 1. Let p be o(9). Let v = 1 - 6. Let f be v*(6\/p - 0). Solve -f*l = l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 28*r**3 - 42. Let a(l) = l**3 - 1. Calculate 42*a(q) - w(q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 - 52\/(-39). Sort d, 1\/5, -1\/4, -4\/7.\nAnswer: d, -4\/7, -1\/4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 626? (a) 5 (b) 1\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22884, -45818, -68786, -91776, -114776, -137774, -160758?\nAnswer: -183716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.55 - 0.05. Let w = -28 - -28.1. Put w, p, 1 in increasing order.\nAnswer: w, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + 0.16. Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -2 - (-707 - -700)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 87*y + 68. Let q be r(-43). Solve 26*m + 2 = q*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*s - 792 = -98*s. What is the greatest common factor of s and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198116 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d + 38*d = 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + 7 + 85*k + k**2 - k**3 - 70*k. Let h be z(-5). Which is smaller: h or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:40 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 531677032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867 = z - 4*z + i, z + 3*i = 279. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*g + 4*g - 42, 0 = -2*g - 2*k + 24. Let d be (-1*1)\/(g\/(-230)). Solve h = -4*u + d, -3*h - 16 = -5*u - 0*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12) - (-969)\/1530. Factor 4\/5*h**3 - 4\/5*h**4 + 16\/5*h**2 - 2\/5*h**5 + p + 14\/5*h.\nAnswer: -2*(h - 2)*(h + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2\/3)*i))\/i*i**(2\/5))**(-1\/12)*(i**(2\/5))**14\/(i**(-1\/3))**(-23) assuming i is positive.\nAnswer: i**(-373\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*r = -716 - 526 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 9. Let i be d(-5). Let t be -3 - i - (-1 + -20). Suppose 37 = 3*o - 5*y - 36, 2*o = -2*y + t. Calculate the remainder when 61 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-5445646\nAnswer: 2178258.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15580.\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530478981.\nAnswer: 3, 58942109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t + 7 + 0 - 6)*(6*t - 3*t - 2*t).\nAnswer: 7*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/120*3)\/(343\/(-7105))*-4?\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00933863 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(272)*-2)**2 - sqrt(272).\nAnswer: -4*sqrt(17) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78830, -149967, -221106, -292247, -363390?\n\"Answer: -n**2 - 71134*n - 7695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z + 156. Let q be y(23). What is the common denominator of 4\/q - (-2 - 1331\/770) and (190\/(-6))\/((-2)\/3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4221*c = 4234*c - 86, 5*c = -3*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 2*i**5\/5 + 13*i**4\/12 - 13*i. What is the third derivative of z(l) wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Let l(p) = 2*p - 5. Calculate l(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-220)\/11)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/30 + (-2)\/5. Suppose -p = -0 - o. Let s = 0.3 - -3.7. Do s and p have the same value?\nAnswer: False","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 {v: 1, m: 9, q: 4}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384984.\nAnswer: 2, 3, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-91)\/4)\/((-3)\/(-12)). Let g = 157969\/20 + -7893. Find the common denominator of g and c\/(-21)*(-6)\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 4:24 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/4 - 95\/28. Which is the nearest to l? (a) -0.2 (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1218 - 0.103. Let o = 0.019121 - t. What is o rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4109 minus 0.2?\nAnswer: -4109.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8260 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18705 greater than -74823\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3543951*w**2 - 4009171 wrt w?\nAnswer: 7087902*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v + 6. Let d(b) = -17*b + 16. Let h(x) = -4*d(x) + 11*o(x). Let u(w) = -10 + 34 + 2*w - 5 - 8 - 10. Determine -3*h(q) + 2*u(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o. Let s(i) = 26*i - 11. Let b(c) = 5*c - 2. Let d(l) = -22*b(l) + 4*s(l). What is y(d(a))?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -155 + 29. Let v = 41 + x. Let z = v + 84.9. Is z != -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 30 + 15 = 0. Suppose 2*u + i = 38, 0 = 4*u - a*u + 3*i + 117. What is the units digit of 1\/(-3) - (-28)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 7 = -d, -3*d - 8 - 23 = -5*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1785*y**2 + 84*y - 277. Let f be b(3). Calculate the highest common divisor of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878032 (base 9) to base 16.\nAnswer: 7ff94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 3, 27, 256, -4 in increasing order.\nAnswer: -8, -4, 3, 5, 27, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517254 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from zxb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 789306?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 2*j**2 - 3*j + (2 - 2*j - 2)*(5*j - 5*j + 2*j) - j**2 + 0*j + 0*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20)\/(132\/1540)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12*m. Let s(j) = 163*j. Calculate s(c(x)).\nAnswer: 1956*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*w - 11 - 3, w = -2*d - 7. Let a = 2 - d. Suppose -5*r + 3*o + 360 + 104 = 0, -3*r = -a*o - 288. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/63148 (b) 86 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4805340.\nAnswer: 4805340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 173, 5, 6, -5, 3, -27 in increasing order.\nAnswer: -29, -27, -5, 3, 5, 6, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqxwntnxwhtnhwxq. Give prob of sequence xn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-20)*(-28)\/(-63).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -14*v**2. Let k = 11 - 13. Let b(u) = -u**2 - 3*u - 1. Let d be b(k). Let s(h) = d - 1 + 9*h - 10*h. What is s(p(j))?\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-10))\/(1\/5). Suppose 11 - 2 = l*z. Suppose -z*h = h. Solve h = -3*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7513170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 218640 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*d + 1898, -3*d - 1896 = -5*d - 5*c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 293114 or 293101?\nAnswer: 293101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 121380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -7. Suppose o*y - 50 = y. Is 22 a factor of 434\/y - (-18)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 17613998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 7) in base 14?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.6 - -35.6. Which is the fourth biggest value? (a) -0.25 (b) k (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 1 - 1)*(-1 + 1 - 2*g**2) + (g - 4*g + 2*g)*(-11*g**2 - 5*g + 5*g) + g**3 - 2*g + 2*g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*j**(1\/4)*j)\/j))**(-34)\/((j\/j**(-2\/7))\/((j*j\/j**5)\/j*j)))**(-12\/7))**(-12) assuming j is positive.\nAnswer: j**(4248\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 91386600*n + 2087877664890000.\nAnswer: (n + 45693300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 2*t - t)*(49 - 19 - 23) in the form f + l*t and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9682 + h**2 + 9682 + 3*h**3 + 51*h in the form g*h**2 + j*h + w + r*h**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -49427039.\nAnswer: 24713519.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21649\/495 + -485\/11. Let a = -14\/45 + z. Sort -3, a, -1.5 in decreasing order.\nAnswer: a, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(18)\/(sqrt(6) + (1*sqrt(6)*5 - sqrt(6)) + sqrt(6)))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0113956722 to six dps.\nAnswer: 0.011396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 - -180. Let r = d - -110. Suppose v - 3 = 0, -v - r = -5*b + v. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 189794?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31505, -63019, -94541, -126071, -157609, -189155?\n\"Answer: -4*t**2 - 31502*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38480?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 - 35*b**2 - 4*b - 3. Let m(n) = 2*n**3 + 2*n**3 + 18*n**2 + 119*n - 117*n - 2*n**3 + 0*n**3 + 2. Calculate 3*c(a) + 5*m(a).\nAnswer: -2*a**3 - 15*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3008.9177038 - 3004.9177. Let j = n - 4. What is j rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (0 - 8)) + 0 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**2 - 5*q + 7. Let w be g(4). Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 786, 6360, 21490, 50952, 99522, 171976, 273090?\nAnswer: 407640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -q + 7, 5*q - 2*q + 357 - 372 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705767 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(14)*2)\/sqrt(7) - ((2*(sqrt(2) + -1))**2 - sqrt(2))*-2.\nAnswer: -16*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -56, 0.1, 451?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (-10 - -14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23050289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-18))\/((-3)\/(-9)*-11)*4\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*x + 24 - 24 + (1 - 3 + 1)*(2*x + 0 + 0) - x + 2 - 2)*(1 + 5*x - 7*x - 3).\nAnswer: -50*x**2 - 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/325 + 4\/10. Let z = -2\/25 + o. Let t = 94736\/19 - 4986. What is the fourth smallest value in z, 3, -3\/4, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 117, 127, 141?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/80)\/((-6)\/196) - (11400\/125)\/76.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46491, -185731, -417807, -742719, -1160467, -1671051, -2274471?\n\"Answer: -46418*g**2 + 14*g - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - u**3 - 3*u - 76 - 4*u**2 + 71. What is the remainder when m(-6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) + 96\/36. Solve -7 - 2 = u*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 9. Let k be c(-3). Suppose k = -4*o + 5*o - 4*g, 6 = 3*g. Solve 2*j + 31 = 2*n + 3*n, 5*j - 4*n + o = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2 + 28*a - 11. Let q be o(4). Put -14, 172, q in increasing order.\nAnswer: -14, q, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.64*-0.3699.\nAnswer: -0.606636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 38131354*m**2. Let k(w) = -3*w. Determine j(k(u)).\nAnswer: 343182186*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 11*x + 10. Let r = -35 + 40. What is the tens digit of l(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28842 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let n(b) be the first derivative of 4*b**3\/3 - 6. Determine n(k(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27, 12, 75, 162?\n\"Answer: 12*l**2 + 3*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehh when three letters picked without replacement from ehhxehe?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - 0.5. Let y(j) = -j**2 + 5*j + 70. Let p be y(11). Which is the closest to p? (a) 1 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064*884746.\nAnswer: -56623.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 192631500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75168)\/(-18090))\/116*(-1)\/6?\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54918 by -2034.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -2*k - 14, -2*f + 14 = -2*k. Put -1, k, 1, 4 in descending order.\nAnswer: 4, 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.891 take away 0.2?\nAnswer: -77.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*f - 427139 + 1315240 + 974824 = 0. Calculate the lowest common multiple of 25 and f.\nAnswer: 31575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -12. Suppose 0 = 7*z + p - 43. Let b(s) = 5 - 11*s**2 + 23*s**2 - 11*s**2 + 4 - z*s. What is b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(22)\/sqrt(2) + sqrt(11) + 4.\nAnswer: 2*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13370 is divided by 1500?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 118 + -12554?\nAnswer: -1243b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 891*y - 355*y - 209*y + (1 - 3 + 0)*(5 + 4*y - 5).\nAnswer: 319*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1022, 1030, 1038?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 265\/30 - 2\/(-12). Let z(d) = d**2 - 9*d + 5. Let y be z(w). Solve -3*r = 2*r + 2*f + 19, -5*r + 5*f - y = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*i + 3504*h**3 - h**2*i + h**2 - 3*h*i + 2767102*h wrt h.\nAnswer: 6*h*i + 21024*h - 2*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 + 2*d**2 + 5*d**2)*(4*d - d - 5*d)*(-4 - 3 - 6) to the form t*d**3 + u*d**2 + g*d + n and give t.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*w - 4*m, 0 = 5*w + 5*m + 18 + 7. Suppose 134 = 7*a - 34. Calculate the common denominator of 29\/4 and a\/140 + 3\/w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.98372 from 0.5.\nAnswer: -2.48372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 8. Determine k(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*u**2 - 62*u**2 + 23*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from oxoxxxo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 852174751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/15 - 14\/4)\/((-290)\/(-3480))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = -5. Suppose -b - i - 284 = -g*b, -b + 52 = -5*i. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.3 and 261.\nAnswer: -861.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1\/4, 0.2, -145, 248 in decreasing order.\nAnswer: 248, 3, 1, 0.2, -1\/4, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/20 + k**3\/3 - k**2\/2 - 3*k. Let y(d) = -1. Let s(m) = v(m) - y(m). What is the second derivative of s(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 906 = 12*v - 50898. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/90 and 43\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 865*-9.\nAnswer: -7785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11840?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54863, 54811, 54763, 54719, 54679, 54643?\n\"Answer: 2*c**2 - 58*c + 54919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*q - 108*q - 245 = 105*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4993, -1, 5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 - 0) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-40)\/125) + 7\/(-28). Solve 0 = b*p - 20 + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.341 - 24.541. What is the closest to -6\/11 in -3, i, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533 = 5*j - 3*s - 523, 0 = j - 4*s + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:22 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -964 - -1d78?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k - 2*k - k**2 - 5 - 2*k. Let u be w(-6). Calculate the highest common factor of u and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 3*sqrt(243)*-1 - sqrt(243))**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 767.7512ml?\nAnswer: 0.7677512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3727 = 46*h + 1105. Calculate the greatest common divisor of 361 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 1:05 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 20 = -4*v - 6*m, 4*m + 16 = -2*v. Let u be 10\/(-35) + (-47)\/7. Let f = u - -10. Solve 3*d - 3*l + l = 4, f*d + l - 7 = v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 12:33 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -4.1. Which is smaller: -0.5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 2*l - 2*l)*(0 + l + 0) + (-2*l - 1 + 1)*(3*l - 2*l**3 - 3*l).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.91 + 6. Let y = 0.01 + i. What is the third biggest value in -0.4, 0, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 17 = 8*w - 2*u, 0 = 3*w - 3*u + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 15*u + 146*u**2 - 76*u**2 + 13 - 69*u**2. Let w be s(-14). Is (-7)\/(-12)*-2*(w + -5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**4 + 1172*c**3 + 4732*c**2 + 5932*c + 2376 = 0.\nAnswer: -2, -1, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2378.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1, -4, 864 in ascending order.\nAnswer: -4, -1, 1, 4, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*t**3 + 1886706*t**2 - 59328036180*t + 23730912600.\nAnswer: -3*(t - 62890)**2*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-682)\/(-330)*((-3 - -13) + 5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1024142043 (base 5) to base 12\nAnswer: -890351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4\/7 - 20*f**3\/7 + 36*f**2\/7 - 4*f + 8\/7.\nAnswer: 4*(f - 2)*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2581 and 33266509?\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 995804565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqqqqrqqqqqq. What is prob of picking 4 q?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 9:59 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 5*v + 2. Let l be d(-3). Suppose -l*a = -5*m + 70, 4*m - a - a - 46 = 0. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(5) - (sqrt(5) + sqrt(5) + sqrt(80)*1)) + (sqrt(5) - sqrt(245)*-2 - sqrt(5)))*1*4*-5 + -5)**2.\nAnswer: 1800*sqrt(5) + 162025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00633577 rounded to 5 dps?\nAnswer: -0.00634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-40) + 6\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(9)*-3*1)*5)\/((sqrt(3) + ((sqrt(3) - 3*sqrt(3)) + sqrt(3) - sqrt(3)))*-6*5).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -23. Let o be 3\/(-2)*(-4)\/u. Let m(s) = -s**2. Determine m(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2093)\/1127)\/((-34)\/1071*-12)?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hhhyfhff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 6*l**3 + l**3)*(1 - 9 + 2)*(0*l + 4*l - l).\nAnswer: -108*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*i - 20*i + 12*i)*(2*i + 3*i - 3*i) in the form y*i**2 + u*i + g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3461571206?\nAnswer: 2, 41, 109, 241, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(63\/28))\/(26\/780)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 4:27 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*x = -2*o - 8, -4*o - 1 = x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80)\/6*(-7)\/(-2). Let t = f + 47. Is t less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80496.95l to millilitres.\nAnswer: 80496950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/27 and 137\/992634.\nAnswer: 8933706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2952)\/(-492))\/(-3*3)*15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*b + 38 = -0*b, 4*b = 4*c + 90 + 18 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2744*a + 161. Let z(s) = -305*s + 18. Let y(m) = -4*c(m) + 35*z(m). What is the hundreds digit of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**2. Let a(j) be the first derivative of j**3\/3 + 2. Calculate a(g(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 6 = -2*n, 106*z = 102*z + 2*n + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*b - 0 + 52. Is -501 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8905 - -8920. Is 7.83 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.04*3\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21717 by -1.\nAnswer: -21717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 126*p - 1386. Determine r(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 2*m**4 - 2*m**4 + (m - m - m)*(-3*m**3 - 4 + 4) - 5*m**4 + 2*m**4 - 3*m**4 as w + r*m + t*m**3 + o*m**2 + i*m**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 945194 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/750 and -191\/690.\nAnswer: 17250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 365069520 divided by 120\nAnswer: 3042246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:00 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-16)*6\/9*-6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 plus 672921614.71?\nAnswer: 672921597.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 6) in base 13?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 5*i**8\/168 + 7*i**5\/60 + 4*i**2. What is the third derivative of p(j) wrt j?\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2274 - 1316. What are the prime factors of y?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2. Let w be u(-1). Let f be w\/4*4\/3. Suppose -f*x = 13 - 59. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*k - 0*k. Let z be (-12)\/(-15) - 78\/(-15). Let w be (6\/9)\/((-1)\/z). Put 0, w, k in decreasing order.\nAnswer: 0, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + l**3 - 3*l**3 + (97*l + 159*l - 204*l)*(-l**2 - 1 + 1).\nAnswer: -57*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -13, -4, -2\/7, 0, -56?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*o - 37 = 11, 0 = 4*w - 2*o - 70. Let f(u) = -w*u**2 + 2 + 31 - 33. Let a(d) = 3*d. What is f(a(j))?\nAnswer: -171*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-8)*(-2 - 0). Suppose 6*p + 12 = d*p. Suppose 2*j + 2*j - 18 = -o, -39 = -p*o - 5*j. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2265 + 2745. What is the lowest common multiple of f and 600?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13069.5 + -13070. Sort 4.3, -0.3, f, -2\/9, 0.2.\nAnswer: f, -0.3, -2\/9, 0.2, 4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 22\/(-21))*(-12)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7 = 8*u + 4*s, 3*u = s - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12760256 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-675)*25\/(-90))\/((-2)\/3*-3)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l - 3*l + 5*l)*(519 - 404 + 430) to the form i*l + o and give i.\nAnswer: -1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 - 9880*j\/11 - 12201800\/11.\nAnswer: -2*(j + 2470)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/12)\/((-14200)\/(-477120)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -25.3. What is the smallest value in w, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2. Let u be 4 - 52\/8 - (-1)\/2. Let z(o) = -o**2 + 1. Let y(v) = u*z(v) - n(v). Let q(j) = -13*j. Give y(q(s)).\nAnswer: 338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8*h - 11. Let f be y(-7). Let u = f - -24. Suppose u*n - 443 = 13. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 + 3*j - 5. Determine o(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2487, -5454, -10381, -17268, -26115, -36922?\nAnswer: -49689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) -0.13 (d) 3 (e) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 9. Suppose -b - 3*b = i. Let f = -1 - b. Solve f = d - 5*d - 2*w, -w = -5*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((30\/(-20)*4)\/3))\/(6\/444)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 114294*n + 114296*n - 2.\nAnswer: 2*n - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484030.\nAnswer: 2, 5, 97, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 87746 = -37600. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 8*j + 3. Let q be v(4). Suppose -20115 = -3*h + 6*h + q*y, 20110 = -3*h - 2*y. Round h to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-16))\/((-3)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32060525 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - (-18)\/(-27). Solve j = -2*r + 2*t + 20, 2*t + 5 = -2*r - t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 1098 - 1098. Let f(z) = z + 21. Let v(a) = -5*a - 88. Let i(n) = -9*f(n) - 2*v(n). What is y(i(t))?\nAnswer: t**2 - 26*t + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/12 - ((-158)\/4 + -1). Suppose 27 = 4*j + u, -u = 5*j + 2*u - y. Suppose b = -j - 6. Is -13 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Find the third derivative of 2*c**3 + 2*c**2 - c**2 - d*c**3 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*q + 692 - 98 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.1852\nAnswer: 1.2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2193668 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 85 = -20*v. Suppose 10*d - v*d + 1190 = 0. Is 170 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*((-292)\/(-4380))\/(2\/20*1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)*h)**(-5\/9)\/((h*h**(-8))\/h*h*h\/((h*h*h**(-8)*h)\/h)) assuming h is positive.\nAnswer: h**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 7\/60*d**5 + 0*d**7 + 0*d + 4*d**2 + 0 - 1\/168*d**8 + 0*d**4 + 0*d**6 + 0*d**3. What is the third derivative of q(v) wrt v?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.1. Which is the second smallest value? (a) 3 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 3 = -4*k - 3*j, -5*j - 3 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -803\/2 - -394. Let k = -2263\/10 - -903\/4. Find the common denominator of y and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**3 + 5 - t - 4 - 2*t + t to the form y + p*t + c*t**3 + s*t**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6333*n + 6942*n - 15234*n to the form v*n + s and give v.\nAnswer: -1959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 4*j + 21*j - 9*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*m*y**2 + h**3*m*y + h**3 - 39*h*m**2*y**2 - 15*h*m**2 - 4*h*m*y - 2*m**2 wrt y.\nAnswer: -4*h**3*m - 78*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002211 - 22010202211?\nAnswer: -22011212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 + sqrt(108) + -4 + sqrt(108))**2.\nAnswer: -108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/42))**(-11\/5) assuming u is positive.\nAnswer: u**(-11\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -65*u - 1593. What is k(-25)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2362 - 448 = 6*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose -j*r = -w + 3, 5*r + 1 = -3*w + 10. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43992 is divided by 43988.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -109*c - 1. Let x be z(-1). Calculate the greatest common divisor of x and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 + 33. Let u(y) = -y**2 - 3. Let m(f) = 2*a(f) + 22*u(f). Let c(v) = -37*v**2. Determine c(m(o)).\nAnswer: -148*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -84, -3, -6 in increasing order.\nAnswer: -84, -6, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -27. Which is the closest to -6? (a) -1 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1955017803.\nAnswer: 3, 29, 37, 607337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.599. Let k = 4.801 - x. Let w = k + -5. Round w to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -26*((-18)\/30 - 102\/(-20)). Calculate the common denominator of k\/(-6) + 10\/15 and -17\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489724 - 81890 = -71*f + 121275. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 12. Give j(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, m: 1, d: 6, c: 4, f: 1}. What is prob of sequence dd?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 0 + 13*m**2 + 3.\nAnswer: 7*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/5 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159158 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.831934 centimeters to micrometers.\nAnswer: 28319.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 109*n - 110*n - 24, -1 = -a + 4*n. Let o be (-2)\/(1 + (-14)\/10). Suppose -a*r = o*r. Solve -3*d = -r*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49c21 (base 13) to base 3.\nAnswer: 20220122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and 23\/3321.\nAnswer: 13284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*-1*-2*sqrt(171))\/(-2*sqrt(1089)*3).\nAnswer: -25*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 6.663, -4\/9, 1.\nAnswer: -4\/9, -2\/11, 1, 6.663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s - 36 + 36)*(-1 + 2 - 2) + (3 - 5 + 1)*(2*s + 2 - 2) + (s - 5*s + 2*s)*(0 - 2 + 0) + 0 - 3*s + 0.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -334568 (base 9) in base 8?\nAnswer: -607025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -10*g - 10. Let v(a) = 9*a**2 + a + 2. What is the units digit of v(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243873412 by -2594398.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (0 - -3*156\/126). Which is the closest to k? (a) -3\/7 (b) 1\/6 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1452676 and -71\/169994.\nAnswer: 15979436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 0, -3*r - 2*r + 19 = -2*k. Let o = 5 - 8. Which is the second biggest value? (a) 2\/5 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2518302?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50, 188, 418, 740, 1154, 1660, 2258?\n\"Answer: 46*w**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 356496414 a multiple of 6086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, p: 1}. What is prob of sequence fp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 7*s**2 + 3*s**2 + (-4*s + 5*s + s)*(-2*s + s + 3*s) + 810*s - 13*s**2 + 69*s**2 - 810*s.\nAnswer: 59*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 q when four letters picked without replacement from {k: 4, b: 2, q: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -18*i. Let h = -1 + 0.5. Let l = -0.4 - h. What is the closest to 1 in i, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 845810 - 15228827\/18. Let q = -50 + -186. Let k = h - q. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44 - 1900*j**2.\nAnswer: -1900*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 9 - 13. Suppose -3*h + 214 = -4*b + p, -b + 1 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) - (-15374)\/280. Let c = 524\/7 - l. Calculate the common denominator of 3 - (2\/(-7))\/(3\/(-99)) and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/7*m**2 + 0 - 3\/7*m**3 - 6\/7*m = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Suppose l = -k - k + 4. Solve 0 = -h - k*i + 5*i + 7, -5*h + 5*i + 25 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*q = -3*q + 145, -v - 2*q + 25 = 0. Suppose -3 - 3 = 2*o. Let r be (v\/10 + o)*0. Sort -4, r, 4.\nAnswer: -4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*t**5 + 6 - 125*t**6 - 4 - 4*t**3 + 42*t**6 + 895*t**2 + 33*t**6 + 47*t**6 wrt t.\nAnswer: -360*t**3 - 4740*t**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*h - 5*h + 172, 4*h - 2*y = 248. What is the greatest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrdb when four letters picked without replacement from {r: 1, d: 1, b: 6, x: 2, w: 3}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -1*(-270)\/12*780\/18 and 250?\nAnswer: 9750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - -101011111110?\nAnswer: 101010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {k: 2, o: 2, r: 2, h: 1, s: 3, c: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.4. Suppose 3*c + 2*r = 56, 4*r + 28 = c - 0*c. Suppose -3*p = p - c. Sort -3\/5, p, f in descending order.\nAnswer: p, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 8) in base 11?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14038310, -14038317, -14038328, -14038343, -14038362?\n\"Answer: -2*d**2 - d - 14038307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 171*c**2 + 3426*c - 4448. What is s(189)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let x(q) = -1. Let f(c) = -3*c + 2. Let u(z) = -5*z + 9 + 1 - 5 - 2*z. Let a(b) = 9*f(b) - 4*u(b). What is j*a(n) - 5*x(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4549*x + 4836. Let i(f) = 9076*f + 9673. Let c(q) = -4*i(q) + 7*n(q). Differentiate c(a) wrt a.\nAnswer: -4461","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56576 (base 9) to base 16\nAnswer: -9315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by -3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1560)\/60*320\/208.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 6*h + 104 = 0, -24 = -3*q - 324*h + 325*h for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17479 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 7*h + 9. Let v be o(6). Suppose 76 = v*c + 7. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3145, 3141, 3135, 3127, 3117?\n\"Answer: -m**2 - m + 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-23)\/(s*s**(-7\/8)))**(-2\/5) assuming s is positive.\nAnswer: s**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000223332 to seven decimal places.\nAnswer: 0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4146768 and 2376.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -330 + 333. Let x = 14\/3 - 4. What is the nearest to x in -1, 0.05, w?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2061 + 1732. List the prime factors of f.\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(228)\/(-3*sqrt(12)))**2 + (sqrt(19) + 1)*1) + -3.\nAnswer: -3*sqrt(19) - 37\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = -k + 13*a + 708, -a - 2157 = -3*k. Calculate the greatest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 29*q - 37*q + 5*q. Let i(x) be the third derivative of -x**4\/8 - x**2. What is d(i(b))?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by 183544.\nAnswer: -43\/183544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -533242 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5458 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.6 (c) -4 (d) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646 and 865317?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211120 (base 3) to base 9.\nAnswer: -2746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 8:23 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 63 = 5*d + 2*a, -5*d + 2*a + 121 = 0. Suppose 4*f + c - d = 0, 26 = 3*f + f + 2*c. Factor 117*i**2 - 2*i**3 - 107*i**2 - 3*i**3 - f*i.\nAnswer: -5*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6145612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 5*w - 4*w)*(-2 + 23*w - 8*w - 10*w**2 - 17*w).\nAnswer: -10*w**3 - 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 + 1 = 0. Suppose -14 = -2*f - 4*y, -f + 16 = v*f + 5*y. Let k(q) = -2*q + 2. Determine k(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*u - 298 = 947. What is the remainder when 28 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/150*5*(-99)\/(-77).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38295778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (2\/(-7) - 10\/(-35)). Factor 16*k**2 + 6*k + k**3 - 36*k**2 + 17*k**2 - t*k.\nAnswer: k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 28920*t**4 + 62727480*t**3 + 60469290720*t**2 + 21859648595280*t.\nAnswer: 5*t*(t + 1446)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308122.147 - 307965. Let f = r - 157. Round f to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72176 and 624?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - l**2 + l - 1. Let k be z(1). What is the lowest common multiple of (1\/k - -1) + (-44)\/(-6) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 630*f**3 - 124*f**3 - 490*f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36974*s - 2*s**2 - 20017*s + 27928*s.\nAnswer: -2*s**2 + 44885*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:30 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01 - -190?\nAnswer: 188.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12798*d**2 + 12798*d**2 + 872*d**4)*(2 + 1 - 1).\nAnswer: 1744*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 + 3. Let h(r) = r**2 - 9*r + 9. Let i be h(6). Let t be s(i). Solve 0 = -t*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -349141\/5 greater than or equal to -69827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - l = 0, 5*l + 15 = 2*a + 2*l. Suppose 0 = 4*t + 2 + 18, a*i = -3*t. Suppose 4*x - 36 = 2*z, -4*x + 34 = -x + 2*z. Solve i = y + x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = 202 - 157 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -62011.3 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*c**2)*(0 - 1 - 1 + (1 - 3 + 1)*(-449 - 581 + 819))*(0*c - 2*c + 4*c).\nAnswer: -836*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = 7394*k - 7416*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let a be d(-7). Let p be (-1 + a)*(-2 + 1). What is the units digit of p\/21 - 9\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*s = 2587 + 717 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1520 = 7*h. Let s = 208 + h. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (502\/(-4))\/(1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 216 = -112*t - 248, 2*k + 16 = -2*t for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/32 and 108\/(-14)*49\/(-28)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 25 = 214. Let q = o - 44. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(72)\/sqrt(12)))**2 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-12) + (-64)\/42. What is the second smallest value in w, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/12*(-128)\/1120.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 5.234.\nAnswer: 10.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96086628 to the power of 1\/2, to the nearest integer?\nAnswer: 9802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 334555596 rounded to the nearest one hundred thousand?\nAnswer: 334600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-324)\/(-5))\/(-2)*-5. Let g = -50 - -68. What is the highest common factor of g and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 211100?\nAnswer: -211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Let f = h + -9. Suppose 2*w - 14 = 4*l, 4*l - 11 = -3*w - 0*w. Put l, f, -2 in ascending order.\nAnswer: f, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -59. Factor -1\/5*l**4 + 0 + 1\/5*l**3 - 1\/5*l**5 + 1\/5*l**2 + u*l.\nAnswer: -l**2*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 0*i + 2110 - 2110.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 150\/(-20)*2\/(-3). Find the third derivative of 122*c - 122*c - 55*c**u - 7 - 3*c**2 wrt c.\nAnswer: -3300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 + 208. Suppose d - 37 = 2*f. Which is the second biggest value? (a) f (b) -2\/93 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 54043, -7, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 19 = -0*v. Suppose -q - 2*k + v = 0, -3*q - 4*k = -13 - 36. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 502*b - 16573. Calculate j(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-20)*3\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 + 34 - (43 + 38 + (-100 - -30))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = j - w - 137, 9 = j + 3*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 9*q**2 + 4*q + 15. Let c be k(-6). Let m be 3\/70*c\/(-27). Let f = m + 7\/10. Which is greater: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 + d. Let h be k(-3). Suppose 4*c - h - 2 = 0. Let z be 1 - c - (-1 - -1). Which is greater: -2\/9 or z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3272784 = -2*c, 0 = -4*c - 3*h + 6058563 + 486956. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4311*14\/(-105)*-5. Suppose 11*o + l = 9408. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*f*k**4*n - 5*f*k**3 + 12*f*k**2*n - 7*f*k*n - 2*f + k**4 - 2*k**2*n wrt k?\nAnswer: -1200*f*k*n - 30*f + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-781)\/(-80) - ((-7)\/(-10) + -1)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 8*f + 41*f + 204 = 0. Let g(m) = 7*m**2 + 44*m. Let l(u) = -u**2 - u. Give f*l(n) - g(n).\nAnswer: -n**2 - 38*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 55*l**2 + 18*l - 21. Let v(c) = -53*c**2 - 29*c + 20. What is -3*n(u) - 2*v(u)?\nAnswer: -59*u**2 + 4*u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1776 and 144?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1558424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/27*-22*5\/10*-1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 454 - 458.02. Let j = -4 - l. Let m = -2.98 - j. What is the third smallest value in 2\/3, -0.5, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 12) + 9 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347223 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-6))\/((-2)\/(-15)). Let i(z) = a*z + 5*z + 3*z - 12 + 2. Let h be i(2). Calculate the highest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e7157 (base 16) to base 8\nAnswer: -3470527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 14. Suppose 3*w - 21 = -n, 8*n - 3*n - 87 = 3*w. Calculate the smallest common multiple of n and l(6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k + 93884936 = 266689715. Let d(u) = -u**2 - u + 5328799. Let p be d(0). Let l = p - k. Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2160 and 5\/2808.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyfyyyyguynmfnm. What is prob of picking 1 y, 2 f, and 1 m?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115453152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3656618308?\nAnswer: 2, 7, 130593511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201143 (base 6) to base 16.\nAnswer: 3dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 42\/5 (b) 1\/9 (c) 3\/4 (d) -2 (e) 13 (f) -3 (g) -20.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-88)\/(-16) - 6\/4. Suppose 0*v - 4760000 = -2*a + 3*v, n*a = 5*v + 9520000. Round a to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 27*q + 4*q)*(-21 + 44 - 295) as p*q + t and give p.\nAnswer: -7072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44.2 and -5301?\nAnswer: 234304.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*k**2 - 25*k**3 - 6*k + 5*k + 2 + 4*k + 24*k**3 + 6*k in the form s + v*k**2 + l*k + j*k**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4840 and 16104.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/10*675\/(-54). Find the common denominator of (-37*2\/5)\/(-8) and (-50)\/r - 2\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 13. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193\/22 - 36\/11. Let j = 8136667\/13421790 - -7\/17860. Let n = -3\/668 - j. Find the common denominator of x and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + l - 2. Let j be 1\/(4\/16) - (-9 - -4). Let z be 1\/3 - ((-384)\/j)\/(-8). Determine y(z).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-32)\/(-160) + 10227\/15 and 2914.\nAnswer: 32054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 3 + w**3 + 1 - w - 3 - 2. Let u be i(-4). Suppose u*m + m - k = 156, -5*k + 170 = 5*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 30913 in descending order.\nAnswer: 30913, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjnssrjjjnnjjjsjjo. What is prob of sequence njor?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 e when four letters picked without replacement from emeqfqfeefmppmmqr?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3539 + 3537. Let d be 2*(15\/6 - -2). Let i be (-1)\/3*d\/(-24). Which is the third biggest value? (a) i (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1964 + 2699 = 35*r for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2736) + (sqrt(2736) + -1 + sqrt(2736))*-4) + -1)*-1 + 2)**2 + -2.\nAnswer: -1680*sqrt(19) + 536279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -16*n - 55. Let m be f(-4). Let v(k) = 3*k**3 - 17*k**2 - 11*k + 11. List the prime factors of v(m).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(v + v - 4*v + 0*v + 0*v - 2*v + (2*v - 3*v + 2*v)*(1 - 3 + 3) + 1 + v - 1 - 2*v + 2*v - 3*v) - 248*v + 2908 - 2908.\nAnswer: -258*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/o**(-10))\/o))\/o)**(-15\/2)*(o*o*(((o**15\/o)\/o)\/o)\/o)\/o*o*(o*o**8)\/o*o*o*o)**(-14\/9) assuming o is positive.\nAnswer: o**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1098*n + 2374. What is the hundreds digit of i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.30298+43115.0241\nAnswer: 43115.32708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24569201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2 + 2*a - 11. Let q(w) = -1 + w**2 - w + 2*w + 2 + 0. Let f(c) = k(c) + 5*q(c). Calculate f(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156 + 497*u**3 - 496*u**3 + 421*u**2 + 159 to z + v*u**3 + w*u + x*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppc when four letters picked without replacement from rpcrpppr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*n + 100*n - 35728 = 0. Solve 0 = -10*m + 39*m + n for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399511872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/116 and -55\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15347362*0.5\nAnswer: -7673681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37163, 37079, 36995, 36911, 36827?\nAnswer: 36743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 9*o**2 + 0*o - o. Suppose -70*w = 3250 - 3390. Give p(w).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 749369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfcyudidiiiy. Give prob of picking 2 d and 1 u.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 19 = -3*w + 23, -4*w + 42 = -3*m. Let v = -10137\/10 - -1024. Find the common denominator of (m\/(-80))\/(1\/(-34)) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -6, -23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/459096 and 31\/110?\nAnswer: 2295480","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(3\/((-26)\/13*114))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4\/24 + s**3 + 11*s**2. Let l = 5 + -11. Let h be o(l). What is h rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -484, -931, -1346, -1729, -2080, -2399?\n\"Answer: 16*c**2 - 495*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*x + 44, 3*x + 52 - 27 - 36 = 7*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:43 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 + 120 = u, -4*u + l = -369. What is the greatest common factor of u and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 5*i**2 + 3*i + 19. Let v be n(6). Let f(o) be the third derivative of 59*o**4\/24 + o**3\/2 - o**2. Does 19 divide f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 520*v**4 + 2*v**2 - 42*v + 35.\nAnswer: 6240*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424275 = 7786*q - 13051 + 94866 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3 = 3*y. Let l be (9\/4)\/(6\/160). Calculate the common denominator of 429\/l - y\/1 and 37\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*3*(-16)\/(-12). Let d = 2 - l. Let k(x) = 10*x. Let a(n) = n - 48. Let y(u) = -2*u + 108. Let p(t) = 9*a(t) + 4*y(t). What is d*p(w) + 2*k(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**36*y*y\/(y*y**11) assuming y is positive.\nAnswer: y**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4687 is divided by 1562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h**2 + 22*h. Let t(d) = 66*d**2 + 59*d + 1. Let x(q) = -3*t(q) + 8*v(q). Give x(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 131?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217 + 219. What is the first derivative of -37*d**2 + 2 - 36*d**2 + 73*d**c + 51*d**4 wrt d?\nAnswer: 204*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333606 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(2 - (-4)\/(-2)). Suppose y = 2*g - 15 - 43. Suppose -5*z = -g - 1. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 2*p = -1 - 7, -5*p = 3*g - 31 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -14*o**2 + 0 - 5*o + 4*o - 1. Let k(t) = 3*t + 128. Let m be k(-43). Determine u(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 11*l**2 - 8*l + 22. Let k be p(-10). Find the second derivative of -32*s**4 - 345*s + 284*s - 2 + k wrt s.\nAnswer: -384*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a - 101. Let h be p(7). What is the highest common divisor of h and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-85 - -86)*6\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*z - 4 - 11, -3*r + z = -1. Let c(x) = x + 10. Let h be c(-7). Let a = r + h. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*v + 2*v + 10, 3*s + 3 = 3*v. Which is smaller: 1\/297 or s?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0 + 0*j - 3\/4*j**5 + 41*j**2 - 1\/2*j**3 + 0*j**4. Differentiate w(n) wrt n.\nAnswer: -90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((8 - (2 + 1)) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -756 + 756.00428. Round i to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.168 + -35822\nAnswer: -35821.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1450120792 divided by 362530198\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36730\/((-1 + 0)*-1). Suppose -3285 = -k + n. Suppose -5*d - 3*o = 2*o - k, -39985 = -5*d + 5*o. What is d rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (5 + -2)) + 4*1. Let f be 44 + 0*(-3 - (-7)\/2). Let d(z) = 46*z + 0 - b - f*z. Determine d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 29*b**2 - 9*b. Let i(n) = -15*n**2 + 4*n. What is 6*a(m) + 13*i(m)?\nAnswer: -21*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*z + 4 = -0*z, 0 = -4*z + 20. Let r be (g\/10)\/(2\/(-5)). What is the units digit of r\/5*(7 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06916747 and 94.\nAnswer: 93.93083253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*u - 3*y + 13, 0 = 3*u + 5*y - 30. Suppose t + u*x = 1369, -t - 3*x - 464 + 1841 = 0. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 9*z**2 + 24*z. Let k be m(-4). Suppose -2*t + 2*y = 98, -y = 3*t + 83 + 76. Let p = k - t. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 1. Let w = -15 - k. Let r = -8 - w. Put -0.2, 0.6, r in descending order.\nAnswer: 0.6, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(272)*-5 + sqrt(17) + sqrt(17) + -1 + 5) - 5*(-5 + sqrt(68) - (sqrt(17) + sqrt(17) + -1 + -1)))**2 + 3.\nAnswer: 504*sqrt(17) + 22084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.06 - -6. Let t = -1.69 + 3.75. Let m = t + x. Is m less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 l, and 1 i when four letters picked without replacement from fmqyqiyil.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7679*x + 322. Let o(y) = -3817*y + 162. Let l(n) = -5*o(n) + 2*t(n). Differentiate l(u) wrt u.\nAnswer: 3727","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1001100100?\nAnswer: -1001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -706*j + 42. Is d(-1) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:51 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8696431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from eppueteppteuppve.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31497 - 23987 = 6550*o + 97107 - 34691 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 - 1\/2*m**3 + 4*m**2 - 4*m. Give f(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 6*u - 6. Let i(n) = n**2 + n - 1. What is -10*i(j) + 2*l(j)?\nAnswer: -4*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -6*q. Solve 5*n = 3*r - 6*r + 4, -3*n - 9 = -q*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 3. Let n be c(4). Let h(f) = f**2 + f - 7. Suppose -3*l + 3 = 3*t, 3*t - 11 = 5*l + 32. What is the remainder when h(n) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 137, 392, 885, 1694, 2897?\nAnswer: 4572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3\/7 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*a - 6. Suppose 3*v = a*v. Sort v, 5, -2 in descending order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, i: 1, l: 4, s: 6}. Give prob of sequence il.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*b - 80*b = -5*n - 38, -4*b = 5*n + 46 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20234*x**4 + 14*x**2 + 3*x + 1387 wrt x.\nAnswer: -485616*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/2 - 66*j**3 + 1080*j**2 - 7776*j + 20736.\nAnswer: 3*(j - 12)**3*(j - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*x + x - 1 + 0)*(-x**2 + 5*x**2 - 2*x**2).\nAnswer: 42*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27470 is divided by 807?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/72931 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose -2*r + j = -4. What are the prime factors of 4\/((-3)\/r - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/2))**(-7))**(35\/3) assuming t is positive.\nAnswer: t**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-446)\/(-5688) - (-6)\/(-24). Let h = -4\/79 + t. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85139354 a multiple of 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268424 - 268424 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1113417887 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + -3.96. Let w be 34\/66 - 6\/18. Sort 4, w, f, -5 in descending order.\nAnswer: 4, w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149761373893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**3*w**3 + 79*r**3*w**2 - 189*r**3 with respect to w.\nAnswer: -3*r**3*w**2 + 158*r**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 995 = 5*s, -t + 602 = -3*s - 3*t. Let q = 3874\/19 + s. Let m = 4 + -9. Sort m, 4, q.\nAnswer: m, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 981*u**4 - 7*u**3 + 41*u**2 - 143.\nAnswer: 23544*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6351 + 62?\nAnswer: -6256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1099*h - 648*h - 43296 for h.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Let a(d) = -4 + 5 + 4*d**3 + 6 - d - y*d**3. Determine a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 + 4*s**2 - 3 + 7 + 5. Let k(p) = -10 - 3*p**2 + p**2 - 2*p**2 + 41*p**3 - p**2 - 43*p**3. What is 5*a(b) + 4*k(b)?\nAnswer: 2*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 273, 25, 10.\nAnswer: 10, 25, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 5:31 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1091 >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.042? (a) -2\/13 (b) 18 (c) -2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 3, f: 3, a: 7, l: 1, q: 1}. Give prob of picking 1 q, 2 f, and 1 l.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.96 - 6.06. Let c(p) = p + 1. Let o be c(-5). Let u = -1 - o. Sort 5, u, k.\nAnswer: k, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.32 - 0.19. Let h = 379.73 - 385. Let z = q - h. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*o - 54*o + 17 - 5*o**4 - 10*o**4 wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (0*18\/(-306))\/(1\/(-1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 109*t**3 + 1. Let b be i(-1). Let s be b\/(8\/(-2)) - 1. Let f be 0 + 76 + ((-4)\/(-1) - 2). Calculate the highest common factor of f and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 3\/4 (c) -0.4 (d) -1\/9 (e) -0.3076 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 7, w: 7, q: 2, v: 1}. What is prob of picking 2 k and 1 v?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(1\/44)*(i**2*i)**(1\/25))\/((i**(-3))**(-18))**(-4\/5) assuming i is positive.\nAnswer: i**(166757\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6890, 117, 5, -3 in ascending order.\nAnswer: -3, 5, 117, 6890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1 - 1)\/4). Let a(v) = -4*v - 5*v - f + 5*v + 2*v. Let b be a(-2). Calculate the highest common divisor of b and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 1)*(-2*v**5 + 0*v**2 + 0*v**2) - v**5 - 3*v**5 + 0*v**5.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 7*a + 3*a + 64 = 0, a = 2*o - 47. Solve 0 = -4*y + x - o, 3*y + 38 = 4*x + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 21 - 4 - 46 - 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/19))**22\/(b**(-10\/9)\/b)**(-1\/7) assuming b is positive.\nAnswer: b**(-8677\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-456)\/(-608))\/((-6)\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2 - 30*l**6 + l**2 + 24*l**6 wrt l.\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14368 (base 11) to base 8\nAnswer: -47662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 50 = -4*n. What is the highest common factor of n and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979884498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u - 84. Let i be y(26). Let b = -270 - i. Which is smaller: b or -36\/7?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**4 - 3*d**3 + 17*d**2 - 3*d + 3. Let w(i) = -i**3 + i**2 - i + 1. Let m(n) = 2*q(n) - 6*w(n). Find the third derivative of m(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 3*s**2 + 4*s + 4. Let g be a(-4). Suppose u - 24 = 4*v, 4*u - g*v - 23 - 13 = 0. Solve -2*j + 6 = -4*x, -1 - 3 = -u*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2. Let r(x) be the first derivative of 2*x**3 - 251*x**2\/2 + 1732. Determine r(o(q)).\nAnswer: 6*q**4 - 251*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 28*p**2 + 54*p + 80. Give o(-26).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*h**4 - 131*h**3 - 7236*h wrt h?\nAnswer: -276*h**2 - 786*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + m**2 + 0*m - 2*m**2 + 4*m**2 + 81*m**2 + (-3*m + 4*m + 0*m)*(-54*m + 32*m + 51*m).\nAnswer: 113*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q. Let g(m) be the first derivative of -13*m**2\/2 + 278. Determine c(g(t)).\nAnswer: 130*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 - 320\/(-144). Let c be 27 + ((-65)\/(-78) - m\/(-12)). Let x = -28 + c. Solve x = -5*f + 4*p, 4*f = 4*p - 0 + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510727 is divided by 382.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 29 = 71. Suppose -36*c = -41*c + h. Solve -2*n + 2*q = 6, 0 = -n + c*q - 0*q - 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -101*i**3 - 13*i**2 - 12*i + 1. What is a(-1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -209360 at most as big as -209359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 0.03 (c) 131\/10 (d) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 131\/3. Which is the closest to q? (a) 5\/2 (b) 0 (c) 2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-132)\/(-88))\/(-1) + (-98)\/(-36) and 50\/12357.\nAnswer: 12357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17148038.2 rounded to the nearest one thousand?\nAnswer: -17148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 6*d + 12. Let k be f(4). Let t = k - 38. Calculate the greatest common factor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 5*r + 5. Let t be y(-5). Suppose 0 = -3*n - 0 + 9. Sort t, 4, n.\nAnswer: n, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/4 + 1\/4. Let w(s) = s**3 + 4*s**2 + 4*s. Let b(o) = -o**3 - o**2 - o. Determine u*w(i) + 4*b(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1038179271 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/25143656 and -23\/9656?\nAnswer: 427442152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 86914*c - 86914*c - 2*c**2. Let y(n) = -2274*n. What is y(g(b))?\nAnswer: 4548*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*w = 486, 6*h - 1912 + 538 = w. What is the highest common divisor of 380 and h?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 178 + 865136?\nAnswer: 8652b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1989, 2020, 2053, 2088?\nAnswer: 2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117375.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/(-12) - 2\/8. Suppose 4*i + 3*h = 487, o*i - 446 = 2*h - 102. Let u = i + -9. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 329 = -508. Is -179 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11269\/10838 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 3, i: 3, p: 1, t: 6, u: 3}. What is prob of picking 2 i and 2 b?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45128, 65363, 85596, 105827?\n\"Answer: -g**2 + 20238*g + 24891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and (-259)\/(-378)*3\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(1\/(-12)). Let v(u) = 2*u**2 + 5*u. Does 7 divide v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5317 divided by -6.\nAnswer: 5317\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 12. Let b = 15 - -2. Let h = 12 - b. Put h, j, 3 in descending order.\nAnswer: 3, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29433 is divided by 1702?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -2221 (base 3) in base 14?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105577 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 173*l**2 - 2*l - 2. Let d(i) = -690*i**2 + 9*i + 9. Let q(r) = -2*d(r) - 9*p(r). Let m(s) = -4*s. Calculate m(q(c)).\nAnswer: 708*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/8 (b) -9\/41 (c) 19977\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*(-8)\/((-1344)\/(-196)) + (-1)\/(-3).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 3*d + 2. Let j be c(-6). Suppose -4*k + 0*k + j = 0. Let n = 543\/17 - k. Which is bigger: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h - 2. Let z(w) = 0 + 0 + 30*w**h. Let l(c) = -15*c + 4. Let r(u) = 374*u - 100. Let m(g) = -50*l(g) - 2*r(g). Calculate z(m(p)).\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 155, 302, 437, 554, 647?\n\"Answer: -t**3 + 154*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*w - 112*w - 29180 = 0. Find the third derivative of -1459*h**4 + w*h**4 - 46 + 167*h**5 - 5 - 2*h**2 wrt h.\nAnswer: 10020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 14 - (-4)\/(-2). Suppose 2*w - t*w = -2050. Suppose 5*k = -p + 226, -p - p + 4*k + w = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(175) - (sqrt(175) - (sqrt(175) - (sqrt(175) + (1 + -1 + sqrt(175) - sqrt(175))) - sqrt(175))))**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16298 - -16400. What is the least common multiple of 34 and q?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) -4.8 (c) 6006 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2405, -9752, -22103, -39542, -62153, -90020, -123227, -161858?\nAnswer: -205997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22210 + -201112?\nAnswer: -101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11673 - -4\nAnswer: -11669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a**3 - 4116*a**2 + 8286*a + 2066. What is g(-345)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/42 and 29\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 41 - 6*u**2 + 127 - 35.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(4\/3)\/t*t)\/t)*t*t**(1\/3)*(t**(-11))**(-1\/8))**(-11) assuming t is positive.\nAnswer: t**(-297\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12544 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/((-10)\/(-4) + -1). Let h(s) = -s**3 + 5*s**2 + 4*s - 10. Let z be h(o). Suppose z*l - 17*l = 420. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 8, -1901.9, 2\/11, 5, 1\/2 in increasing order.\nAnswer: -1901.9, 2\/11, 1\/2, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 12 = -40. Suppose 15 = -3*v + 3*h, 5*v - 2*h + 23 - 7 = 0. List the prime factors of (-3)\/v*c\/3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-9)\/3 + (-36)\/10*18675\/(-830).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.053 - -0.065. Let i = -0.412 + z. Let t = -1 - -1. What is the closest to -0.1 in -2\/9, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81797\/20350 + 24\/925. What is the common denominator of w and -99\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.213 + -0.034. Let u = i - 0.1789021. What is u rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -59*t**2 + 8*t + 11. Let h(i) = 39*i**2 - 5*i - 7. Calculate -8*h(a) - 5*q(a).\nAnswer: -17*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 + 3*j**3 - 2*j**2 - 399771*j + 179282546 wrt j.\nAnswer: 8*j**3 + 9*j**2 - 4*j - 399771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {q: 1, e: 2, m: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Let o be ((-4)\/72)\/(j\/8). Let x be (-68 - -67)\/(-2*1\/(-2)). Which is the nearest to x? (a) 5 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*y + 31, -1 = 3*j - 3*y + 2. Let k be (j\/7)\/((-9)\/63). Let v be k\/21 + 74\/(-14). Let h(g) = -g**2 - 4*g - 1. What is h(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2894 or 2903?\nAnswer: 2894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-234)\/168*(-7)\/4)\/((-1046)\/(-4184))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**3 + 2*s**2 + s - 12. Let v(y) = -2*y**3 - y**2 + 4. Let h(i) = -8*v(i) - 3*x(i). Let b be h(0). Solve b*d + 10 + 6 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 108932618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -17, 2, -5 in decreasing order.\nAnswer: 2, 1, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610 (base 10) to base 16.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -635939582 less than 0.4?\nAnswer: 635939582.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 16 + 4*c)*(66427*c - 566*c**2 - 33215*c + c**3 - 33216*c) in the form w*c**2 + z + g*c**3 + s*c + j*c**4 and give g.\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 170577787907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.12569 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2819206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4\/5, 35.38, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*h - 3 - 24, -14 = -3*l + h. Let i be 0*5\/(7 + l). Factor 4*o**3 + i + 0*o - 8\/5*o**2.\nAnswer: 4*o**2*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/5)\/((-3)\/(-15)). Suppose k = 2*i - i - h, 2*i = k + 20. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 50 = n, -c - 3*c - 51 = -n. Let p be -4 - 5\/(n\/(-46)). Is p >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2271228 and 95\/1176?\nAnswer: 222580344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}