diff --git "a/data/dm_maths/full_data_1/1182_11255.jsonl" "b/data/dm_maths/full_data_1/1182_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1182_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 241*k - t + 13 = 244*k, 0 = -3*t + 21. Let g(i) = 2*i - 3. Let j(x) = -x**3 - x**2 - 1. What is k*j(z) - g(z)?\nAnswer: -2*z**3 - 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6813, 13635, 20461, 27291, 34125, 40963, 47805?\n\"Answer: 2*h**2 + 6816*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -29. Suppose -3*j - 4*y + 13 = -5*y, -27 = -5*j + k*y. Solve -j*n - 6 = 2*h, 2*h = n - 3 + 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295 divided by -6\nAnswer: -295\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*b = 4*z - 61*b - 6909, 0 = -4*z - 4*b + 6924. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r + 5 = 0. Solve -5*g = r*g - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298789 (base 13) to base 14.\nAnswer: 1c7267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -94323 times 3\nAnswer: -282969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -18?\nAnswer: 29\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38 + -3?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/77 + 4\/22)\/(337\/7077)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {s: 5, c: 1, h: 3, r: 5, f: 4}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(28)\/sqrt(175)) - (2 + sqrt(75))*1)**2 + 0 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4903 and 7715.\nAnswer: 37826645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 22 (b) 2 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 4:36 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-18))\/(((-411)\/1507)\/(27\/(-66)))?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 108 + 10 = 2*w, -2*k = -4. Calculate the remainder when w is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.05 (c) -4 (d) 1\/9 (e) 15 (f) -64 (g) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-32)\/x)\/(x**(3\/7)\/x*x))**(-1))**(1\/15) assuming x is positive.\nAnswer: x**(78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 66*a + 552. Calculate z(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2 = -5*d, d = 3*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 28*r**3 + 22*r**2 + 52*r.\nAnswer: 2*r*(r - 13)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/10 + (-3 - -6 - 39). Let q be (2 - (-1 + 1))*4. Let m = q - f. Calculate the greatest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16*z**3 - 4*z**2 + 10. Determine x(2).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -6*h + 20, a = -2*h - 27 + 32 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 = 4*g + 14, 31 = -3*g + 2*p. Let i = g + 10. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14111 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2. Let a(d) = 350*d**2. Determine v(a(u)).\nAnswer: 245000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -11562*u + 3584213. Determine k(310).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:19 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3831*v + 35231 = 3954*v + 1525 - 59714 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 z when three letters picked without replacement from bllzlbzzbbbll?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 16609*n + 91 = -16613*n, -5*a = -2*n - 43 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*287\/(-492)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0 = -5. Sort 5, 1\/4, h in decreasing order.\nAnswer: 5, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o - 111. Let u be b(6). Let z be (6\/(-20)*45\/u)\/(-2). What is the third biggest value in -8, 2\/11, z?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2200766490 to the nearest integer?\nAnswer: 46912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q - 42641 = 9352. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2375 is divided by 238?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 2\/9 (c) 6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 7*g + 11. Is h(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {l: 5, a: 7, t: 1, n: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 + 3*p**2 + 2*p - 1. Calculate t(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 - 283. Solve -o*y = -4 - 59 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6*o + 2 = 0, 2*r - 4*o - 6 = 0. Solve -d + r = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 2 - 19 - 760*x.\nAnswer: -760*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12894.\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*u + (3 - 8 - 1)*(-21*u - 2*u + 14*u)*(-2 + 3 + 1) - 2*u - 2*u + u.\nAnswer: 107*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/558352 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-5*w**2 - 2*w**4 + 5*w**2) - 2*w**2 + 2*w**2 + w**4 + (w + 0 + 0)*(15*w**2 + 8*w**3 - 15*w**2).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-362)\/2*(-5 - (-36)\/8)*166. Calculate the greatest common divisor of 181 and h.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 76253?\nAnswer: -228759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 1 - 4*t + 3*t)*(7*t + t - 5*t).\nAnswer: -6*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -14 - (-2 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*w**2 - 31*w + 3432 with respect to w.\nAnswer: 16*w - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 - 300*s - 52. Calculate t(-75).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5\/3 + m**4\/3 + m**3\/3 - m**2\/3.\nAnswer: -m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.5 take away -1921684?\nAnswer: 1921662.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -471\/7 + 67. Which is the nearest to -0.4? (a) n (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 48. Let g = n - -66. Let r(y) = -10*y + g*y - 15*y. What is r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -28*t + 9. Suppose 0 = 6*o - 11*o + 35. Suppose 4*a = -23 + o. What is the tens digit of p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1859*n**2 + 8*n - 49. Let b be w(-9). What is b rounded to the nearest 1000?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:57 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4983211?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -14105, -56322, -126719, -225374, -352365?\nAnswer: -507770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51799, 103084, 154359, 205618, 256855, 308064, 359239?\n\"Answer: -q**3 + q**2 + 51289*q + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 176?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1512 divided by 216.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -527 + -3219. What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x + 2*r, 5*x + 24 = 5*r + 44. Suppose x*m - 16 = -4. Which is the closest to 0.07? (a) 0.3 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(45)\/(sqrt(90)\/sqrt(10)) + sqrt(605) + -3).\nAnswer: -24*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 14. What is the remainder when a is divided by (9\/1)\/(0 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2330830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69a5 (base 13) to base 9.\nAnswer: -22316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.02, 2 in ascending order.\nAnswer: -0.02, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798521917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2837, 2827, 2805, 2765, 2701?\nAnswer: 2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbwweeemwwwwcwwwew. What is prob of picking 2 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 9*j**2 - 7. Let y be x(9). Let i = 9 + y. Sort 5, -3, i in decreasing order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 + 321*h**2 - 149*h - 474. Determine g(53).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3725535*m**5 - 2*m**3 - m**2 - 584*m + 447 wrt m?\nAnswer: -223532100*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + 220. Suppose -5*h = 5*i - 6 - d, -2*i + 33 = 3*h. Let w(v) = 15*v + h*v - 49*v + 19*v. Let k(b) = 4*b. Calculate k(w(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(96)\/(sqrt(4)*2))\/(3*sqrt(192)) + (sqrt(288) + -2 - sqrt(288)) + ((sqrt(80)\/sqrt(4))\/sqrt(10) + sqrt(2) - sqrt(2))))**2.\nAnswer: -625*sqrt(2)\/6 + 44425\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-256)\/(-12))\/((-9)\/(-2902500)). What is m rounded to the nearest one hundred thousand?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 7) to base 8\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 380655 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/(-6) + 12\/(-18). Suppose 12 = -28*s + 30*s. Calculate the greatest common factor of s and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507786910 to the power of 1\/2, to the nearest integer?\nAnswer: 50078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 628296120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57713765\/25663 + 24738\/11. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 16*h - 60. Let l be k(5). Let v be (2 + -16)\/((-15)\/21). Which is greater: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 plus 8.314?\nAnswer: 8.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 100*y**3 + 99*y**3 - 3*y. Let r = 7 - 9. Calculate the least common multiple of t(r) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -470, -543, -228, 469, 1542, 2985, 4792, 6957?\n\"Answer: -d**3 + 200*d**2 - 666*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.88*75149.\nAnswer: 66131.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23511, 23516, 23521?\nAnswer: 23526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80452016*h**4 - 69*h**2 - 140*h - 3881?\nAnswer: 1930848384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a factor of 1537223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 81. Let w = v + -34. Let i = 4 - 15\/4. Is i bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 43\/4. Let w be 20 - (15 + -9 + 11). What is the closest to w in -43, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 1. Let r be (-1 - 1)*(9 + -7). Let z be s(r). Let g be z\/((-3)\/18*-5). Solve -g*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -p, 88 - 18 = 2*b - 4*p. Let d = -21 + b. Suppose d = -o + 3*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, -149, 5, -14, -18 in decreasing order.\nAnswer: 134, 5, -14, -18, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 21. Let h(a) be the second derivative of 0 - 1\/4*a**2 + 1\/24*a**4 + n*a**3 - 3*a. Factor h(r).\nAnswer: (r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**3 - 70*s**3 - 42*s**3.\nAnswer: -83*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = -b - 5*x, 23 = 5*b - 3*x. Suppose -34 = -6*g + b*g. Suppose -4*o = -7 - g. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = 4*m, 4*m + 6 = 6*m. What is the lowest common multiple of o and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6793*d**3*r**2 - 88*d**3 + 16*d**2 + d*r**2 with respect to r.\nAnswer: 13586*d**3*r + 2*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2333 * 0.2.\nAnswer: -0.04666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/4 + 82055*x - 14115309\/4 = 0.\nAnswer: -328263, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. Suppose -f - l*f = -90. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13856851*f**6 - f**5 - 74947782*f**2.\nAnswer: -1662822120*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeedaueelluuaeeedeec. What is prob of sequence eecl?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9963013 less than 101.518?\nAnswer: -9962911.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12650 + -12550. Calculate the remainder when 4898 is divided by j.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:46 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 14 = n, -n - 22 = -4*h - 4*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -595*q**2 - 3052*q + 98. Give z(-5).\nAnswer: 483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -10*i + 21. Suppose -5*x + 36 = 11. Determine u so that -i*u**3 + 6*u**5 - 2*u**x - u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 293.\nAnswer: 9\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 126 and 0.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((-20 + 10 - (-42 - 11)) + 20).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1240258?\nAnswer: -1240258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 3. Let p(g) = -3*g + 4. Let t(h) = -4*c(h) + 3*p(h). Let u(z) = -6*z**2 + z**2 + 2*z**2. What is u(t(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0*g**2 - 1\/60*g**6 - 1\/84*g**7 + g + 1\/24*g**4 + 0 + 1\/40*g**5 + 0*g**3. Determine z so that y(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - 133\/(-28). Let b(k) be the third derivative of 1\/3*k**3 + 6*k**2 - 1\/60*k**t + 0 + 1\/24*k**4 + 0*k. Let b(c) = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9247*k**4 - k**3*x + k**2*x - 48*k*x + k - x wrt k.\nAnswer: -221928*k - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1460370 to the nearest ten thousand.\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 1. Suppose -2*g + n = 2, -4*g + 1 = -n + 3. Let p = f + g. Which is smaller: -1\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2. Let o(i) = -i**2 + 1. Let p(l) = l**2 - 11*l + 4. Let z be p(6). Let d be 34\/(-10) - z\/65. Give d*v(h) + 6*o(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + 5 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21549 - -21550. Let k = -687\/2 + 41913\/122. Are s and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 4*m + 3, 4*p = -m + 33. Suppose 0 = u + 5*g + p, -4*g - 16 = -0*u - 4*u. Factor 1\/3*i**5 - 1\/3*i**u - 1\/3*i**3 + 0 + 1\/3*i**4 + 0*i.\nAnswer: i**2*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31475408 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from qognbgosb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728*k**2 - k + 0*k - 140*k**4 - 727*k**2 to x*k**4 + n + m*k**3 + s*k + r*k**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljssstwtwws. What is prob of sequence wt?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -102*d - 190 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/(70\/(-84)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -362*l + 22064. Calculate q(61).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*135\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133 + -12352?\nAnswer: -12218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -596 - -596.1116. Let q = 0.11 - c. Round q to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 45. Let r(p) = -p**3 + 10*p**2 + 3*p + 5. What are the prime factors of r(m)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**4\/2 + 4*l**3\/3 - 3. Factor d(r).\nAnswer: 2*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddwwli. Give prob of sequence ldd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4443347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-23)\/(-2) - (3\/6)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284 + 230 + (38 - -4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 0*o + 2*o**2)*(-9*o**2 + o**2 + 5*o**2) + 4*o**4 - 5*o**4 - 7*o**4 to b*o**4 + t + v*o**2 + j*o**3 + i*o and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -24 + (-23 - (5 + 0 - 6))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from mimmmmmimmmmimmmmmi?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m - 26. Let z be l(7). Find the second derivative of 31*r**2 + 3*r + z - 4*r**2 + r**3 - 44 wrt r.\nAnswer: 6*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.169 or 5555?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297021 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14685 divided by -2937\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -58*p + 5. List the prime factors of t(-3).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33*((-14)\/(-6) + -2). Let p = 40.04 + -39.04. What is the nearest to p in 1\/2, -0.3, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 11212?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9315.015 millennia in years?\nAnswer: 9315015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*p - 2936 + 5870 - 2*p**2 - 2937 + (5*p**2 + 0*p**2 - 3*p**2)*(-3 - 3 + 4).\nAnswer: -6*p**2 - 37*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161024470 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713246 is divided by 2576.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/21 + 170*p\/21 + 172\/21.\nAnswer: -2*(p - 86)*(p + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101223 (base 4) in base 16?\nAnswer: -146b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44*(-1)\/(-40)*-4*(-5)\/(-8)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101230.\nAnswer: 2, 5, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 23. Let g(m) = -16*m**3 + 11*m**2 + 11. Let p(l) = 3*l**3 - 2*l**2 - 2. Determine x*g(k) + 11*p(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -368*u*w**5 + 2*u*w**4 - 108*u*w**2 + 8*u*w - w**3 wrt w?\nAnswer: -22080*u*w**2 + 48*u*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four thirds of a hour?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 2*k = -10*j, j - 2*k - 12 = 0. Solve -25 = 9*f - j*f, f = -5*w - 25 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d - 4*u, 4*d + 3*u - 3 = -10. Solve -b + 0*b - 13 = 4*g, d*g - 4 = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x. Let w(z) = -11*z. Let r(l) = -13*h(l) + 6*w(l). Let d(m) = 3*m**2. Let a(o) = o**2. Let v(b) = 4*a(b) - d(b). Give r(v(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2805*m - 912*m - 946*m - m**2 - 947*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/7 - 162*v**4\/7 + 3132*v**3\/7 + 18692*v**2\/7 - 63570*v - 361998 = 0. What is v?\nAnswer: -7, 17, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7707 + 4965. Let d = z + -488. What is d rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*v + 30*v - 306 - 459 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -0.3. Let l = -2.5 - m. Let k = -2.5 + 2.4. Is k less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggfrrgglmr. Give prob of sequence gfl.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 631782227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 55*p**3 + 42*p**3 - 11*p.\nAnswer: -13*p**3 - 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 10:42 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + (-25)\/(-4). Suppose 0 = x + 3 + 1. Is 94\/b - x\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131322042 (base 5) to base 13.\nAnswer: -702716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 371, 369, 365, 359?\n\"Answer: -y**2 + y + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 11*q**2 + 13*q - 2. Determine d(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -44034140 and -0.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2255 + 4062. What are the prime factors of m?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) - 3*(sqrt(133)*-1 + sqrt(133))))\/(3*sqrt(7)*-2*1).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338 + 338.094. Let t = 1.906 + m. Which is the nearest to -1? (a) 0.1 (b) t (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*t + 5*s, 15*s - 19*s = -t + 28. Let w be -3 - (-4)\/(-2 - -4). What is the least common multiple of t and w\/((21\/(-18))\/7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05668713 + 9687.76268713. Let z = -9678 + h. Let m = z + 0.194. Round m to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + (15 + 0 - 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/4*(-12)\/3. Let o = 4563 + -3751. What is the highest common divisor of t and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -319.71 - -302.3. Let n = -12.44 - o. Let p = n - 5. What is p rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6660204154 + 5?\nAnswer: 6660204162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087 = -105*f - 247. Let i(k) be the third derivative of k**4\/24 - k**3\/3 - 2*k**2. Determine i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 24. Suppose -2*u + 10 = -b, 0 = -2*u - 3*u - 3*b + 25. What is the highest common factor of u and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264\/5 + -53. What is the nearest to 2\/15 in -0.3, 0, 1, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, v: 8, u: 5}. Give prob of picking 2 u and 2 v.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 311827.5 litres in millilitres?\nAnswer: 311827500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15249 divided by -3?\nAnswer: 5083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:43 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 9) to base 16\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.5965605 - 162.15?\nAnswer: -15.5534395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 5, -u + 5 = 2*b. Let w = 149 + -118. Calculate the remainder when w is divided by (b - (-19)\/(-4))*-4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -7. Let y be d - -7 - (-9 - -1). Let q = y + -12. Let b(u) = u**3 + 2*u**2 - 2*u + 2. Determine b(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 100, 111, 136, 181, 252, 355, 496?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.27413 and -704?\nAnswer: -192.98752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4411.3 + -4411. What is the biggest value in w, 3.4, 0.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2878 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/27 - 2\/(-9). Let f(i) = 7*i**2 - 1 - i + h*i - 2*i + 0*i. Calculate f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44502, 178008, 400518, 712032, 1112550, 1602072, 2180598?\n\"Answer: 44502*d**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-48)\/2))\/((-15)\/(-120)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4126587 divided by 1193.\nAnswer: -3459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:15 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l = 60. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2503 (base 16) to base 12\nAnswer: -5597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 131 = s + 4*s, 3*s = -2*g - 81. Let r = s - -47. Suppose -2*q = -0*d + 2*d - 88, 3*q - 134 = -5*d. What is the remainder when q is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116723182 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Let k = -848 + 1263. Let y = -414.5 + k. What is the third biggest value in s, -1.1, y, -4?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-16)\/(-28) - 32486\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166708 is divided by 544?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1159872390 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4 (c) -11\/3 (d) -7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (-2)\/2. Suppose -2*i = w - 29, 4*i - 3*w = -n*w + 67. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2 - 731440*l + 66875559200 = 0.\nAnswer: 182860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 7*r**2 + 5*r - 3. Let h = 33400 + -33382. What is the least common multiple of h and y(-5)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -80, 2, -32 in decreasing order.\nAnswer: 23, 2, -32, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -1. Let f = 1 + -3. Suppose -q = -5*j - 4*q + 16, 5*j - 3*q - 34 = 0. What is the nearest to f in j, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 20 = -4*y, 0 = -3*y + 7*y - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**2\/7 + 426*d\/7.\nAnswer: 6*d*(d + 71)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 42 = 2*i, 7*i - 4*t - 35 = 2*i. Suppose -n = -10*n - i*n. Let l be (3\/(-12))\/(31\/(-4)). Is n at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4421662 is divided by 621?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257 (base 12) to base 11.\nAnswer: 2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2504079689?\nAnswer: 2504079689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 5. Let v be m(1). Suppose -v*n - 524 = -6*n + a, -a + 884 = 5*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991851 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.1. Suppose -3*l - 6 = -0*l, -s - l = 0. Let v be (3 + s)\/5 + (-1)\/5. What is the biggest value in v, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 10*c = -18. Let d be ((-15)\/c)\/((-5)\/(-10)). Solve 0 = 3*u - 0*u - d*o - 34, -3*u + 24 = -3*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4.67174192.\nAnswer: 0.32825808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 24*w. Let j be d(-1). Find the common denominator of (98 - 1)*(-2)\/j and 93\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 + 5*t - 23. Let v be q(-5). Which is greater: 15 or v?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -6. Let c be ((-4)\/(5 - w))\/((-2)\/(-68)). Suppose -x + 56 + c = 0. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 471102.487 to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 4, 5, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4294, -4295, -4296, -4297, -4298?\nAnswer: -4299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*n - 87, 0*n - n = 3*c - 78. Let z = -11 + c. Calculate the greatest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 16 - 6*a - 4*a in the form g + u*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/6 + 3011*x**3\/3 - 2895023*x**2\/2 - 573673786*x\/3 - 18150078338\/3 = 0.\nAnswer: -62, 3073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 12. Let j be d(4). Let t(f) be the third derivative of -2*f**2 - 5\/6*f**3 + 0*f + 1\/24*f**4 + j. Calculate t(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, -1.2, 1\/2, 1600.6 in decreasing order.\nAnswer: 1600.6, 3, 1\/2, -1.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-4)*(-48)\/(-28). Let i be (-6)\/(0 + r\/(-87)). Is 21 a factor of -6*(i\/(-9) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.9 - -15. Let b = t + 0.9. Let p = -1\/79 + -227\/790. Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 + -289.8. Let b = d + -19.3. What is the second biggest value in b, -1, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*o - 3*r + 1602, 0 = o + 5*r - 409. What is the highest common divisor of 114 and o?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 13*g**2 - 6*g - 2. Let h be ((-47)\/4 - 3)*-4. Suppose 4*a = -11 + h. List the prime factors of s(a).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/28 + (-10)\/35. Let j be (546\/48 - (-4)\/32)*m. Which is the closest to 1? (a) j (b) 0 (c) 7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18163042*a**3 + 6229313 wrt a?\nAnswer: -54489126*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*(sqrt(19) + 2))**2.\nAnswer: -736 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/(-7) - 15 - -10. Sort i, 3, 1, -1 in increasing order.\nAnswer: -1, 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -36768 - 22776. Suppose l = 3*y - 4*u, -3*y - u + 3544 = -1433. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u + 13*u + 3*q + 6, 4 = -2*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105964580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 142445 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -590*t - 46746. Give d(-79).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -133a87 - 462?\nAnswer: -134439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**38\/(m**1\/m)**(-49) assuming m is positive.\nAnswer: m**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o + 3*x, 20 = -2*o + x - 3*x. Let t(h) = -32*h + 79. What is the tens digit of t(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*m - 14*t + 224 = -739*m, -3*m - 2*t + 151 = 0 for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-3)\/9)\/((-3)\/(-9)). Suppose -4*q + 34 = -2*m, 0 = y*q + q + 3*m - 21. Solve 5*s = -2*a - 4, 4*s = -3*a - a - q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1760 and -17\/220.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.585 + -0.015. Let d = -0.6 - h. Let g = 5 - 10. Sort -1\/4, d, g, -4 in descending order.\nAnswer: d, -1\/4, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 22101002122?\nAnswer: -22101002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.91 - 0.3. Let y = -0.61 + x. Which is the nearest to y? (a) 4 (b) 4\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.8755 kilograms to nanograms.\nAnswer: 189875500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyxfeefffyf. Give prob of sequence fyf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964173 is divided by 379?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q**2 - 10*q**2 - 3*q**2 - 7 + 3*q - 2*q**4 to c*q**3 + d*q**4 + p*q + u + h*q**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h**2 - 4*h**6 - 5*h**2 - 18*h**6 wrt h.\nAnswer: -2640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 34*y**2 - 34*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/15, 2\/13, -0.5, 35, 2\/3 in increasing order.\nAnswer: -14\/15, -0.5, 2\/13, 2\/3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9*p - 8. Let v be x(-5). Suppose -3*u + 2*a = 103, 6*a - 164 = 4*u + 10*a. Let t = v + u. Solve t = -0*y - 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 37*a + 1. Calculate y(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/((-10)\/15). Let i(b) = b**2 - 2*b + 1. Let z be i(h). Let d(a) = -3*a - 1. What is d(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*n + 651*n + 3185 = -63*n + 28821 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 + 3) - (-21 - -24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -1*1 + (-44 - -47). Let q(n) = n + 20. What is the units digit of q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 2 (c) -381\/7 (d) 4 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 334*h - 9. Is z(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 2. Suppose -12 = -2*u + 5*b + 4, -u = 2*b + 10. Let k(f) = -6 - 7 - 16*f + 2. Let a(h) = h**2 - h - 11. Let i be a(0). Give i*j(y) + u*k(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0236 + -4349\nAnswer: -4348.9764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -38. Factor 93*y**p - 160*y**2 - 80*y - 45*y**2 + 60 + 16*y**3 - 34*y**3.\nAnswer: 5*(y - 3)*(3*y + 2)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 23\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.21 + -5.9723. Round y to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(6\/11)*k*k**1*(k**(-5)\/k)\/(k\/(k*k*k**8)*k*k) assuming k is positive.\nAnswer: k**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, 5, -38722 in decreasing order.\nAnswer: 5, -2, -17, -38722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 0*i - 24 = 0. Suppose x + 999 = i*x. What is the highest common divisor of x and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) -0.0393 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -113*b**4\/4 - 233*b**3\/3 + 465*b. What is the second derivative of d(s) wrt s?\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 750986576 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -2, 4, 2\/15, 3, -1\/925?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 7*a - 13. Suppose a = 3*u + 16. What is the tens digit of (u - 0)\/((-5)\/280)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, q: 5, h: 1, x: 1, n: 1, g: 1}. Give prob of sequence hn.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 49. Let b be i(-7). Solve -u + b*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 1225, 2720, 4811, 7498, 10781?\nAnswer: 14660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4328173714 and 18.\nAnswer: 4328173732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10\/(-35) - 802\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62, -4, 504, 0.1?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4453531 (base 6) to base 13.\nAnswer: 7b58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 29*t + 38952 = -2*a, 4*a = 3*t - 29224. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1573*y + 8438. Give i(6).\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:15 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 202?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10*c - 35 = 11*c, 131 = -4*f + 5*c. Let s = 44 + f. Suppose -q + 0*q = -5. Solve z - q = d - 0*d, 4*z = -d + s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*a - a, -5*w + 3*a = -119. Suppose 27*f - w*f - 775 = 0. Let j = f - 218. What is j rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u**(-24))\/u))**(4\/15)\/((u**22\/u)\/(u\/u**(-29))) assuming u is positive.\nAnswer: u**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 1547?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8593 and -17\/7271.\nAnswer: 94523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763646367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 3, d: 3, z: 3}. Give prob of sequence zw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 21 = -10*l. Calculate the least common multiple of 8 and l.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12200120022001 (base 3) to base 13\nAnswer: 81aa68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - k**2 - k**2)*(-15 + 15 - k) - 8 + 8 - 3*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21436144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-143) - (-1562)\/13. Suppose 4*s + 0*s = x. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/2300*10*44*(-2)\/2?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*y**2 + a**3*f**3 + 2*a**3*q*y - 2*a**2*f**3*q - 10*a**2*f*y**2 + 2*a**2*q*y + 2*a*f**3*q*y**2 wrt a.\nAnswer: -48*a*y**2 + 6*f**3 + 12*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3270 and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmcmcmmmclcccm. Give prob of picking 1 l and 1 m.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 2426382 - 2428966 = 0 for c.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k\/k**(-2\/5)))\/k)**36*(k\/(k*k\/(k**(2\/13)*k)))\/k**(2\/3))**(-4\/7) assuming k is positive.\nAnswer: k**(11632\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 833247 >= 833260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3727131, -7454252, -11181383, -14908530, -18635699?\nAnswer: -22362896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8205 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388920.1 millilitres to litres.\nAnswer: 388.9201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 2*b - 3. Let z be d(1). Solve -2 - 18 = z*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(612))*-3)**2 - ((-2*sqrt(153) + sqrt(153) - sqrt(153))*3 + sqrt(153))\/sqrt(9).\nAnswer: -211*sqrt(17) + 5544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 0*m - 2*m + (-3 + 5 + 1)*(-2*m + m + 3*m) + 0*m - 5*m + 0*m + 9*m + 22*m - 4*m)*(-1 + 0 + 3)*(2 - 1 - 2) as v*m + t and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 6*b**2 - 5*b - 1. Let p be v(5). Let y(r) be the third derivative of -r**6\/15 + r**5\/60 - r**3\/6 + 8*r**2 + 6. Calculate y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 11*n + 16. Let l be c(12). Suppose 5*b + 17 = -11*m + 15*m, -5*b = 5. Put m, l, 2, -10 in decreasing order.\nAnswer: l, m, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284.5 - 282.5. Which is the biggest value? (a) -0.2 (b) -0.04 (c) 0.4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.61 + 0.61. Let h = 22 - 22.1. What is the nearest to -1 in m, 1\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/49*-1)\/((-6)\/(-28)). Suppose 6*b - v*b = 37186. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3651*b - 7. Let x(m) = 7298*m + 13. Give -7*r(h) - 4*x(h).\nAnswer: -3635*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13899*l**2 + 2*l + 76326?\nAnswer: 27798*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 52\/70 - 3\/21\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 8*i**2 - 7*i + 3. Let m be d(-7). Suppose -3*o + 0*o + 2*t = -35, m*o - t = 34. Solve 3*n - 21 = -5*k + 2*k, -n + o = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 75 = -0*y - 3*u, 113 = 3*y + 5*u. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + 28. Let q be t(6). Let s be (3*q\/18)\/(1\/2). Let h be (-8)\/10 - (2 + -3). What is the nearest to s in h, 2, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15) - (-260)\/825?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-9 - (7 - 20 - 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2707 + -1898. Suppose -2*f = h + 1607, -f - z = -h - 4*h. Let v = f + 16169\/20. What is the common denominator of v and -43\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 38 (b) -0.5 (c) -10.888\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19769 by 373.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 0.32. Let o = -40 - -40.019. Let t = 0.519 - o. What is the biggest value in t, u, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163290.4 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 1. Let c be r(-1). Suppose 0*w + 3*w = v + 3, c*w + 4*v = 16. Suppose -24 = -w*a + 4*o, -2*o = a - 0*o - 20. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13312132032 (base 4) to base 16.\nAnswer: 1f678e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/12 - j**4\/12 + 877*j**3\/6 + j**2. Let p be (-42)\/(-18) - (-49)\/(-21). Is t(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126121*m - 124474.\nAnswer: 126121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 552\/483*(34 - 6)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.49 in -21, 15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48363693.\nAnswer: 3, 7, 157, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -w - 9, 0 = w - 3*x + 2*x + 9. Let f be w\/6*6\/(-9). Sort -13, f, -1 in decreasing order.\nAnswer: f, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let v be j(9). Let m be (-3)\/(-3)*v\/3. Let t = m + 10. What is the greatest common factor of 63 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(95)*-3 + sqrt(95))*2)\/sqrt(5)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*v - 1, 0*b + 3*b - v = 19. Suppose r + 0*m = -4*m + 18, 0 = -4*r + 5*m - 33. Calculate the least common multiple of 14 and (3 - b)\/(1\/r).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000074018 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 0 + 0 - 44 + 118*d**2 + 83 - 41 + (-2*d + 2 - 2)*((-2 - 4 + 4)*(-3*d - d + 5*d) + d + 4*d + 14*d) to h*d + q + t*d**2 and give t.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 > -11289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d + 65*d - 25*d + 0*d**2 + d**3 + 9*d**2 - 18*d - 12. Calculate s(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-12))\/(6\/(-12)))\/(69\/(-18)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.722 - 2.76. Let y = f + 0.03903. Round y to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49204080 and 255744.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 22 - 4)*(0 - 3 + 4)*(2*r + 1 - 1)*(-r**3 - r**3 + r**3) to the form q*r**2 + v + x*r + f*r**4 + s*r**3 and give f.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62358047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/1078 - 552048\/8232?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 15 = -b + 13, -2*o - 14 = b. Let t(d) = 2*d - 54. Let r be t(o). Is r bigger than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1330\/13991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 + 164. What is the second biggest value in x, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:28 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -430, -964, -1496, -2026, -2554, -3080?\n\"Answer: j**2 - 537*j + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -250417*a - 2504199. What is x(-10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1222 and 1170.\nAnswer: 54990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2315*j = -2319*j + 4778*j - 10224 for j.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*i**2 - 3013*i - 169097 wrt i.\nAnswer: -28*i - 3013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**3 + 169*c**3 - 2*c**3.\nAnswer: 141*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = w, 5*w + 0*w + 2*p = -4. Suppose 6 = -w*x + x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 t when three letters picked without replacement from {k: 2, t: 2, f: 2, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.605472l?\nAnswer: 5605.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let x(q) = 22 - 44 + 22 + 5*q**2. What is n(x(j))?\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 353, 586, 1013, 1640, 2473, 3518, 4781, 6268?\n\"Answer: k**3 + 91*k**2 - 47*k + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.22261 and -0.209.\nAnswer: -0.43161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 144755988 to the nearest 10000.\nAnswer: 144760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36721, 37075, 37429, 37783?\nAnswer: 38137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 4*b**2 - b + 4. Let k be u(5). Let m = k - 15. Suppose 2*g - m = -g. Solve 2*w - 9 = g*q, -10 = w - 4*q - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -355\/7. Which is the third biggest value? (a) 0 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 7110831.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1676.\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 - -0.19. What is the nearest to 1 in -5, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -1 (c) -4 (d) -2105.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1661092 to 4 decimal places.\nAnswer: 0.1661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 469488 = 469488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*x = -32190792, -a - 5*x + 1024550 + 7023148 = 0. Suppose -a = 3*n + 3*n. Let r = -2431283 - n. What is r rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56839 or -56784?\nAnswer: -56839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10691 + 10692. Is 7935 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8726*u + 3132700. Determine w(359).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + b**3 + b**5 + 0*b**5 - 3*b**5 + 2*b**5 - b**2 + 2*b**5 + b**2 + 5*b**5 - 3*b**5 - 4*b**5 + (-4*b**3 + 3*b**3 + 3*b**3)*(-4*b**2 + 0*b**2 + b**2).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 13) + 11 + -1 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*-1*(-64)\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11 - 3*f + 3*f - f**2 + 12 + 13*f. Let r be n(16). Which is greater: r or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 493 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123977493 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-10 - (-5 + 0) - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2. Let o be 0 - ((-14)\/49 + (-48)\/28). Let h(r) = 2*r - 12. Let s(g) = o*h(g) + 12*u(g). Let y(m) = m**2 + 4*m. What is s(y(j))?\nAnswer: 4*j**2 + 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 + ((-150)\/(-20))\/(-15). Let m = -329092\/141 + 2334. Is a > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + -5.5. Let q = -17145.99925 + 17151. Let r = n + q. What is r rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 32*p**2 + 8*p + 36. Let r be m(-16). What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124096919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 27. Calculate q(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = -3923*y + 3917*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 0)*(-7 - 3*p + 7)*(5 - 3 + 1).\nAnswer: -36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 332?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2780548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*h + 69, -5*h - 30 = -y - 0*y. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:50 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 2*y + 1. Let a = 13 + -8. Give d(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - 2*(sqrt(7) - sqrt(21)\/sqrt(3))) + sqrt(7))**2 + sqrt(7) + -3 + -1*sqrt(7) + sqrt(7) - 3*(sqrt(42)\/sqrt(6) + 0).\nAnswer: -2*sqrt(7) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 4. Let y(p) be the second derivative of 0 - 5*p - 1\/2*p**2. Determine t(j) - 4*y(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + (-2 - (-2420)\/140). Solve -14*y + b*y - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 42069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41423024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5204000 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3 + sqrt(39)\/sqrt(3))**2 + sqrt(832)*-2).\nAnswer: -66*sqrt(13) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7*v**(1\/2))\/((v**(2\/5)\/v)\/v)**33 assuming v is positive.\nAnswer: v**(613\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, 1.26, 0.05 in descending order.\nAnswer: 1.26, 0.05, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11825092 and 1448?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 4*m + 7*m - 16, 3*w - 4*m = -21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/(4*(-3)\/48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49268905307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078792 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 125336688*o - 125336684.\nAnswer: -4*(o + 1)*(o + 31334171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.2 - 13.2. Let h = -1.4 - -0.4. Let i = -3 - -2.5. What is the smallest value in h, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, -14 in descending order.\nAnswer: -2, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (1 - 1 - -1). Let d(q) = -2*q + 5*q**2 + 0 - q - o*q**2 + 1. Let t be d(2). Which is the third biggest value? (a) t (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/321?\nAnswer: -1\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:36 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**4\/4 - 13*x**3\/3 + x**2\/2 - x - 130. Suppose 4*t - 8 = 3*t - v, -v = 5. What is the units digit of m(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*b + 39, 5*b - 5*u - 175 = -140. Solve 5*c - 37 = j - b, 3*c + 4*j = 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1473*k + 725*k = -12876 + 1886. Let u(i) = -i**2. Let q(z) = 3*z**3 + 2*z + 3*z**2 - 4*z + 6*z. Give k*u(s) - q(s).\nAnswer: -3*s**3 + 2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 113*r**4\/24 + 149*r**3\/2 + r**2 + 57*r - 7. Give p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -664 + 319. Calculate the common denominator of 53\/20 and (0 + 4)*u\/(-320).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 204 = -66. Let y = h - -99. Suppose 2*j = -2*j + 92. Calculate the remainder when y is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*q + 3406 = 0, 0*b - 6830 = -4*b - 5*q. What are the prime factors of b?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-630)\/(-24))*(-21)\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 10) to base 5\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2636*h**4 + 4072*h**4 - 2440*h**4 - 19*h**2 - 1 - 2*h wrt h.\nAnswer: 102432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 5.8. Let k be 68\/(-20) - -3 - (-1 - 0). Let n(v) = v**2 - v - 2. Let o be n(2). What is the closest to o in k, -3, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) 11 (c) 1 (d) 54.1 (e) 0.4 (f) 3 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*y - 8. Suppose -3*x - 5*d = -2*d - 30, -y*d = -x + 10. Suppose -2 - x = -2*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 64*v + 0 + 48*v - 81*v as r + i*v and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15.48166l?\nAnswer: 15481.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2700\/150*-2*(-3)\/4. Suppose h = -4*c + 163, -2*c - 4*h = 2*c - 148. Solve 5*m - c = -s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1124 - 27?\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*m = -6*s + 25, -4*m = s - 3. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(((y\/y**(-3))\/y*y)\/y)))**(-40)\/(y*(y*y\/(y*y**0))\/y*y)**(-1\/10) assuming y is positive.\nAnswer: y**(-599\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 12*v + 377. What is the smallest common multiple of 11 and v?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3158 in -0.4, 1.6, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1084*u**4 + 5545*u**3 - 2*u**2 - 8887899*u wrt u.\nAnswer: -13008*u**2 + 33270*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i**3\/5 + 576*i**2\/5 + 654*i\/5 + 20 = 0.\nAnswer: -25, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 21*t**2 - 71*t - 11. Let v(j) = j**3 + 31*j**2 + 72*j + 11. Determine 3*h(w) + 2*v(w).\nAnswer: -w**3 - w**2 - 69*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y - 127*y + 8034 = -4552 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 10*b**2 - 11*b + 10. Let i = -10 - -21. Let t be a(i). Find the second derivative of t + 4*s**3 - 10 - 8*s**3 - 10*s wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -28, -52, -76, -100, -124?\n\"Answer: -24*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29428.\nAnswer: 2, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 155*h - 605. Let w be j(-4). Which is the closest to w? (a) -2\/9 (b) 5 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -o - 5*i - 198, -4*o - 4*i = 0. Is -1.0292 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1181251713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*r - r. Put r, -3\/5, -5 in decreasing order.\nAnswer: -3\/5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 4*j + 77 = -17*m, -4*m + j + 66 = 0. Suppose 5*h + 3 = 93. Let y = m - h. Which is greater: 0.02 or y?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 11 + 11 = -5*k, -13 = 2*w + 3*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 6*j + 131 = 0, 446589*j + 42 = 446587*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-18))\/((1\/(4\/((-40)\/(-6))))\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + 18\/(-28). Let i = 5028 + -5023. Which is the third smallest value? (a) u (b) i (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 12*l**2 + 11*l + 1. Let m be k(-11). What is the closest to m in 1, -3, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24820913\/48255840 + 54\/33511. Let i be (-526)\/2880 + (5 - 120\/25). Let h = f + i. Calculate the common denominator of -73\/3 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4250 and 97\/42500.\nAnswer: 42500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 18*s**2 + 20*s + 24. Let g be y(-19). Solve -g*l - 2*z = -10, -5*z - 5 = -l + 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/3, 0.09, 170?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 1. Let g(d) = d**2 + 4*d + 1. Suppose 0 = -2*o - 8, -5*o = 2*b + 2*b - 4. Suppose b*a + 25 = 19. Determine a*g(c) - 2*f(c).\nAnswer: -c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - -5 - -5) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 6\/19 (c) 96.5708\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 83. Let g(v) = 18 + 9*v**2 - 11 + a*v + 7*v**2. What is the tens digit of g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 2 - sqrt(320) - (sqrt(25)*-2)\/sqrt(5))**2 + (2 + (sqrt(245) - (sqrt(245) + sqrt(245)*1)) - (1 + sqrt(245) + -4))**2.\nAnswer: -132*sqrt(5) + 1029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0366285968 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*u + 28*u + 108*u - 30*u)*(2*u**2 - 3*u**2 + 2*u**2).\nAnswer: 217*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -9, -4, 9.\nAnswer: -9, -4, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 41330?\nAnswer: -41322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139979107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7475650, 29902591, 67280826, 119610355, 186891178, 269123295?\n\"Answer: 7475647*m**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 5, n: 5, a: 1}. What is prob of picking 1 k and 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 less than -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, b: 6, m: 10, s: 1, q: 2}. Give prob of sequence qqb.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004112943075 to 7 decimal places.\nAnswer: 0.0004113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-68)\/5) + (-1 - 3)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876104 is divided by 1529.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -527\/18 + 3061\/36. Let f = 56 - s. Let t be (-9)\/(-81)*1*-4. Which is the nearest to 2\/5? (a) f (b) 1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**5 - 5*r**5 + 4*r**5)*(986 - 1496 - 1427).\nAnswer: 15496*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -29. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 1\/60*v**5 + 2\/3*v**4 + 26 + 0*v + 11\/6*v**3 + v**2. Calculate w(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/4 - 5*y**3\/6 - 7*y**2\/2 - 4*y. Let b be l(-3). Suppose -t + b - 27 = 0. Solve -4*g + 0*g - t = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -766*r - 7944. Let q be z(-12). Calculate the highest common factor of q and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - b = -5, -76*d + 78*d + 9*b + 35 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874378 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -404\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -16, -9, 16, 65, 144?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685125 is divided by 15319.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -682372480 to the nearest 100000.\nAnswer: -682400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 2\/183 (b) -3\/4 (c) -6\/5 (d) -67 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:37 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 4*u**5\/5 + 15*u**4\/4 + 16*u**3\/3 + 3*u**2\/2 - 2*u - 3. Factor n(o).\nAnswer: (o + 1)**2*(o + 2)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13702101 is divided by 4567354.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*c - 5*z, c - z - 4*z = 26. Let k(w) = w**2 - 6*w - 5. Let p be k(c). List the prime factors of p*(16\/10 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/6*(-3 - (3 - 3)). Suppose 12*a = p*a. Suppose a = 4*i + 40 - 116. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3976*k - 5*h = 4023*k + 51, 3*k - 3*h = -63 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*j + 8, 2*j - 10 = -3*m - 0*j. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0, 29, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -447, -7, 9 in ascending order.\nAnswer: -447, -7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - 5*n**4\/12 + n**3\/6 - 3*n**2\/2 - 4*n. Let x = 13 - 8. Let w be o(x). Solve 0*i + 10 = w*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 2, s: 7, a: 3, f: 2, l: 5}. What is prob of sequence rr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -872, -867, -854, -827, -780, -707?\n\"Answer: d**3 - 2*d**2 + 4*d - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1301, 1\/2, -1\/3, 522?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-200)\/(-140) - (-6)\/(-14). Are c and 1\/1824 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267645495 a multiple of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 162 = -6*d. Let z = 31 + d. Suppose -z*l + 188 = -4*k - 0*k, -l = k - 49. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -11\/8, 5\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214892609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w + 670 = 0. Let x = -13 + w. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 197 + y + 207 - y**2 - 405. Let g(m) be the third derivative of 1\/3*m**4 + 0*m + 1 - 1\/12*m**5 - 7\/6*m**3 - 3*m**2. Determine -g(b) + 6*j(b).\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)\/((u\/(u*u**6))\/u))\/(u**(-7)*((u\/(u*u**(-6)\/u*u))\/u)\/u))**25 assuming u is positive.\nAnswer: u**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from kiiikiifikifiiiikik.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 14 = -5*j, r + 5 = -2*j + 2*r. Let m = 8 - 8.2. What is the closest to j in 0.5, m, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10299985?\nAnswer: 5, 157, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-1)\/(-3) + 5. Suppose c*q - q - 20 = 0. Calculate the greatest common divisor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67424*a + 67784*a + 17280 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2891779 less than 1033?\nAnswer: 1034.2891779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 4 = i + 22*x, 5*i - 3*x = -8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/83)\/o))**32\/((o**(4\/15)*o)\/(o*o\/((((o*o**(7\/2)*o)\/o)\/o*o)\/o))) assuming o is positive.\nAnswer: o**(154391\/2490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 112*q. Let k(o) = 2*o + 128 + 8*o - 63 - 65. Calculate k(h(n)).\nAnswer: 1120*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(325) + 2) + 0)**2 + 1.\nAnswer: 80*sqrt(13) + 1317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 3*d**2 - 3*d - 3. Let n be t(3). Suppose 3*q = -3*l + 72, -2*l - 2 = -4. Suppose q*i - 19*i = 20. Solve -n - 5 = -i*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v**3 - v**2 + 2*v + 1. Let w be u(-2). Suppose -s - 70 = -4*q + 69, -2*q + w = s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 34*k + 32 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-14)*(342\/(-108) + 2)*4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 23*b**3 - 3*b**2 + b - 9. Let v(z) = 12*z**3 - 2*z**2 + z - 5. Let x(r) = 5*v(r) - 3*y(r). Does 22 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -458 - -17?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgbsgbgpgggyysphbs. What is prob of picking 1 y and 2 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/2*4*(-2)\/(-84)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.663839 rounded to 2 dps?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Suppose 646 = j*c - 434. Calculate the greatest common factor of c and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25129, -51328, -77527, -103726, -129925, -156124?\nAnswer: -182323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10144138.\nAnswer: 2, 17, 19, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((-15)\/85 - (-476)\/(-578))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-4 - 3 + 6)*(-12*f**2 - 15*f + 15*f)*(-6*f + 6*f - 5*f**3).\nAnswer: -60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 29. Let q be 103\/(-2) + (-2)\/4. Let h = q - -53. Solve 4 + h = 3*s + 4*j, -2*s + 3*j + d = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 3:05 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -0.054831051?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 - 3*a**2 + 0*a**2 + (-a + 2*a - 3*a)*(-5*a + 5*a - a) + 0*a - a**2 + 0*a + 28*a**2 + 26*a**2 - 35*a**2.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*c. Suppose -3*m - 394 = 7*r - 3*r, -4*m - 515 = -c*r. Let y = m + 130. Solve -z = -y*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72700.3 * 0.99\nAnswer: 71973.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 8*k**2 - k + 7. Is n(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -47*x + 3312. Let m be v(68). Solve -13*t = -m + 207 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -41*n - 23. Let z(t) = 7*t + 4. Let l(w) = -6*j(w) - 34*z(w). Determine l(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3210*a + 49097 + 13884 = -87889 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -4, -3 in ascending order.\nAnswer: -4, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -100069*c. Let y(q) = q**2. Calculate m(y(u)).\nAnswer: -100069*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*o - 4*o**2 - 67*o - 126*o - 28*o - 122*o.\nAnswer: -4*o*(o + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3518 - 3513. Let l(v) = 16*v**2 - 3. Let y(h) = 15*h**2 - 3. Give f*l(u) - 6*y(u).\nAnswer: -10*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + k = 45193 - 45191, -3*k + 6 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 43, 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501373*k**3 + 91657*k**3 + 278897*k**3.\nAnswer: 871927*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 42, 114, 246, 456, 762, 1182, 1734?\n\"Answer: 3*k**3 + 3*k**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 + 11\/3. Let i(x) = 5*x**2 + 4*x. Let p(y) = -64*y + 67*y + 334*y**2 - 330*y**2. Give b*p(m) - 3*i(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -4\/7, 59, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21974245 + 8645669 = -3*a. Let y = a - -6426638. Round y to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1417, 1279, 1147, 1015, 877?\n\"Answer: -j**3 + 9*j**2 - 158*j + 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59888259 a multiple of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489028?\nAnswer: 2, 179, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 45 = 5*v, 3*v + 643*j - 641*j = 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46268 (base 13) to base 8.\nAnswer: -371552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2550 and 310539.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 457369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7a53 (base 13) to base 16.\nAnswer: -50e2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -344, -315, -284?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23 and -0.4667.\nAnswer: 22.5333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 24. Let r be i(18). Suppose 3*u = -5*x + r*x - 1951, -2*x + 3916 = u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583228.\nAnswer: 2, 23, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -25 + 18 - 111?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17573 + -2?\nAnswer: 17571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r + 4. Is 22 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.25044 - 0.2259. Let f = a - 0.0418. Round f to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 44*l**2 + 3*l - 1. Let u be h(1). Let b = -41 + u. Solve 0 = b*d + 2*p - p + 12, 3*d + 3*p = -12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 16*p = -32442. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.75 + -9796.61?\nAnswer: -9788.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -84. Let m = -26 + u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15641006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/4)\/1)\/((-15)\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3292, -3275, -3258, -3241?\n\"Answer: 17*d - 3309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -14*a**2 + 2833. Let i(c) = -8*c**2. What is b(i(d))?\nAnswer: 224*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2814 or 2380?\nAnswer: 2814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 310614180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -42*u**2 - 5*u - 9. Let o(r) = 21*r**2 + 3*r + 5. Suppose -5*g + 2*g = -6*y - 6, g + 13 = -3*y. Determine g*s(q) - 7*o(q).\nAnswer: 21*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a minute in seconds?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*h = -16, 0 = 4*b + 4*h + 2 - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 106*s**2. Let g = -284 - -312. Let w(f) = 24*f - 85*f + g*f + 31*f. Determine w(u(h)).\nAnswer: -212*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 - 68. Suppose -3*r + m = 24. Let a be (-4 - 165\/(-3)) + (2 - 1). Calculate the greatest common divisor of r and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24423011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o - 65*o - 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1987, 1983, 1979, 1975, 1971, 1967?\n\"Answer: -4*o + 1991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-5*(-1492)\/1865. Which is the second smallest value? (a) -0.222 (b) r (c) -1.3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1169911, 4679644, 10529201, 18718582?\nAnswer: 29247787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3639064 micrometers to kilometers.\nAnswer: 0.0000000003639064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y. Let q(u) = -3*u + 3. Suppose -11*w + 13*w = 2. Determine w*q(h) - 4*j(h).\nAnswer: 4*h**2 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 482091237 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -53ba9?\nAnswer: -53bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, f: 4, w: 4, i: 1, z: 1}. Give prob of picking 1 q and 3 f.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*a + 10, 0 = -4*a - 3 + 23 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(105\/(-20))\/7. Let n(l) be the first derivative of -k*l + 0*l**3 - 2 + 1\/4*l**4 + 0*l**2. What is the first derivative of n(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/9 - 770540*m**2\/9 + 16180853*m\/9 + 35443874\/9 = 0.\nAnswer: -2, 23, 770519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-15)*(-714)\/(-3808).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0*1\/(-4). Suppose m = 24*s - 18*s + 12. Let x(j) = j**3 - j**2 + 1. Let h(a) = a**3 - a**2 + 2. What is s*x(u) + h(u)?\nAnswer: -u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -575.04 + 1037.62. Let l = d + -468. Let p = l + 0.42. Which is the smallest value? (a) p (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 67*z**2\/2 - 6*z + 1. Let m be p(-3). Let g = 3107\/15 + m. What is the third biggest value in 0.1, 0.3, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 50 = o. Suppose 242 = 3*i + o. Suppose 0 = -n - 2*n + 48. What is the greatest common divisor of n and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665714803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = x + 16904, 35*n - 84526 = 30*n + 3*x. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -333*y + 5. Let g be o(5). Let x = 3636 + g. Suppose 1955*r**2 - x*r**2 + 2*r**3 - 15 + r**3 + 33*r = 0. What is r?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -198, -5, -289, -62 in increasing order.\nAnswer: -289, -198, -62, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = t + 2*a, 3*a - 2337 = 4*t - 2308 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9059, 18998, 29821, 41528, 54119, 67594, 81953?\nAnswer: 97196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Put -3, y, -4 in ascending order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 462*f**5\/5 - 3*f**4\/4 - 2*f**3\/3 + f**2 - 41*f + 3087. What is the third derivative of x(k) wrt k?\nAnswer: 11088*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21835 - 4785. What are the prime factors of u?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.1 + -175.9. Let z = 213.0093 + k. What is z rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.09 and 354722 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (-7 + 0 - -1)) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - m + m)*(3*m + 0 + 0) - 5*m + m**5 + 5*m + (-6*m**3 + 5*m**3 + 3*m**3)*(2*m - 2*m - 2*m**2) + 5*m**2 + 4*m**5 - 5*m**2.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0474506258 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6836.\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5897 (b) -77 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 132690?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-418)\/19*2\/((-4)\/3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 + -107. Which is the closest to -5? (a) p (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -143\/193082 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:51 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 505202073*g**2 - 230*g - 603060 wrt g.\nAnswer: 1010404146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -714876 equal to -2144632\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-35752561.\nAnswer: -2502679.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 13164?\nAnswer: 13156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/128618 and 43\/2223254?\nAnswer: 15562778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 0.3 (c) -1\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 106 + 73*u - 190*u + 56*u + 70*u. What is h(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -193?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 6*i - i)*(-14 + 8 - 7)*(3*i + 4*i - 5*i) - 1 + 11 + 2*i**2 + 2.\nAnswer: -50*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 914581 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(400) - (sqrt(25) - (3*sqrt(225))\/sqrt(9)))\/(sqrt(605) + (sqrt(605) - sqrt(605)*2)*-1 - -1*2*sqrt(605)) + -1)**2.\nAnswer: 5*sqrt(5)\/11 + 609\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -2, 12 in decreasing order.\nAnswer: 186, 12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/70 - 8*x**4\/3 + 220*x**3\/21 - 170*x - 8. Factor r(y).\nAnswer: 2*y*(y - 110)*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17d2b7 (base 15) to base 14.\nAnswer: -22215d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/12 and -113\/4044?\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -81, -5, -0.1, -7, 43\/2.\nAnswer: -81, -7, -5, -0.1, 4, 43\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i - 2. Let c be l(-2). Suppose c*k - 3*k = 6. Let m be (-2)\/(-3) - k\/(-6). Solve m + 1 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jttjixbbyjjyj. What is prob of sequence jtx?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 11) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46694286, 93388573, 140082860, 186777147, 233471434?\n\"Answer: 46694287*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**10)\/v)\/(v**(-4)\/v))**(-30))**(1\/17) assuming v is positive.\nAnswer: v**(-450\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5, 7*m + 4*f - 2 = 6*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -485, -504, -523, -542?\n\"Answer: -19*b - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32195 and -38.498.\nAnswer: 1239443.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**3 + 2227 + 2*g**3 - 2227.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, -119, -2 in increasing order.\nAnswer: -119, -2, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -20330022121?\nAnswer: 20330022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -500 - -662. Does 103 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -17, 2, 59, 166?\n\"Answer: 2*m**3 + m**2 - 24*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419 at least as big as 3422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29891775 to the power of 1\/2, to the nearest integer?\nAnswer: 5467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + 2*r - 20. Calculate p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*j - 26, -i + 4*i - 6 = -3*j. Let h(d) = -d + 2. Let u be h(j). Suppose -u*n - 5*x + 325 = 0, 2*n - 2*x - 79 = 39. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2088 and 7734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8*-192\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 13009*p + 26022.\nAnswer: -(p - 13011)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-30))\/(6\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/c**9)\/c))**(-1\/18) assuming c is positive.\nAnswer: 1\/sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 9, 8, -4, -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/34, -30, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 = -i - 390. Let o = i - -1163. What are the prime factors of o?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*a = -12, 4*c - 12 = 3*a + a. Let q(d) be the second derivative of 0 - d - 1\/3*d**3 - d**2. Give q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 4*y + 4. Let a be m(4). Let b(n) = -n**2 + 4*n + 5. Let x be b(4). Let z = -2 + x. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13557, 27078, 40587, 54078, 67545, 80982?\n\"Answer: -x**3 + 13528*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h**2. Let r be u(1). Let y be (-6)\/(-3) - r\/(-4). Suppose -35 = -6*f - 47. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 33 + 2*a**4 + 0*a**4 + a**3 - 36 + a to x*a**4 + h*a**3 + g + d*a**2 + m*a and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 2*k - 3*k + 0 + 0 + 2*k + (-2*k + k + 3*k)*(-1 + 1 - 2) - 2 - k + 2 + 6*k + 8*k + 4*k - 23*k - 2 + 10*k + 7*k to the form b*k + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1\/(n\/((n\/n**(-1\/16)*n)\/n)*n)*((n**5*n*n*n)\/n)\/(n\/(n*n**(-9))) assuming n is positive.\nAnswer: n**(-31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g. Let u(k) = -k**2 - 9*k - 1. Let j(h) = -4*l(h) - u(h). Let m be j(-5). Let w = m - -5. Calculate the lowest common multiple of w and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7565552 (base 8) in base 11?\nAnswer: -1164473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6*r + 56. Suppose -3*t + r = 5. Let q = t + 4. What is the highest common factor of q and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 80 = -d. Suppose -4*o - j = -161, 2*j - 81 = -2*o + j. What is the greatest common factor of d and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 5)*(-2 + 2 - 3*h).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2dbae + 2?\nAnswer: 2dbb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -75 (c) 1\/3 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j. Let b be t(1). Let f(v) = -v**2 - 25*v + 188. Let x be f(-31). Solve g - b = -2*u, x + 3 = 2*g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -6) + -4 + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, -5, 2\/7, -1.83?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - c - 2)*(-2 - 1 + 5) - 5*c - 51*c + 2*c + (-c + c - 2*c)*(12 - 3 - 1) to s + h*c and give h.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-12))\/(1\/(-4)). Let g be (-21)\/(-14)*20\/o. Solve -g*a - 29 = -4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3004232 is divided by 9507?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w**2 - 4*w**2 + 16*w**2 - 4*w**3 - 4 + 30*w**2.\nAnswer: -4*w**3 + 110*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1114458645 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*w - 92, -2*u + 6*u - w + 121 = 0. Suppose 184*l + 4*r - 11 = 189*l, r = -2*l + 6. Sort 0, -4, u, l.\nAnswer: u, -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20100011012022 (base 3) in base 11?\nAnswer: 19a1083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 12. Let v(h) = -3 + 31*h**2 + 4 - 30*h**2 - 8 - 5*h. What is the remainder when v(o) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -356 + 351. Put 5, z, -193 in ascending order.\nAnswer: -193, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 4*p - 15*p + 0*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33347.907 minutes to days.\nAnswer: 23.15826875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12)*(-3591)\/3990)\/(3*(-3)\/(-1032))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 + 7*d + 7. Let a(v) = -4*v**2 - 5*v - 5. Let u(c) = -7*a(c) - 5*j(c). Let n(w) = -5*w**2 + w**2 + 2*w**2. What is u(n(s))?\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 20. What is s(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 + 22*c**3 + 4074*c**2 - 44550*c - 48600 = 0.\nAnswer: -45, -1, 12, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 3 (c) -2\/5 (d) 1339\/18 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 10*a + 40. Let o(t) = -4*t - 24. Let s(c) = -5*o(c) - 3*z(c). Let f(w) = 20*w + 3. Let x(i) = -i - 1. Let l(m) = -f(m) - 3*x(m). What is l(s(k))?\nAnswer: 170*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxq. Give prob of sequence xxxq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17565 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.16598 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -45, -37, -25, -9, 11?\n\"Answer: 2*h**2 - 2*h - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110240 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i - 45. Let q(h) = -h + 1. Let r(a) = 6*a + 15. Let k(z) = -15*q(z) + r(z). Let p(u) = -2*u - 2*u - u + 0*u. Give i*p(o) - 2*k(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.278 and 0.5.\nAnswer: -2.139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74876*z - 13*z**2 + 74876*z + 11*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -322. Find the common denominator of 2 - (n\/96 - 4) and -115\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -16 + 12 + (1 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35253 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.798 + 3.08. Round q to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2851 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -101*d - 5. Let b be r(-3). Suppose 2*q + b = 3*m, 2*m - q + 0*q = 199. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15030293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/315 + (-231)\/(-45). Suppose -3*r + 5*w - 11 = 0, 0 = 4*r + r + n*w - 35. Let a be (-2 - -3)\/((-1)\/(-6)). What is the biggest value in -5\/4, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*b + d, 10 = -4*b + 2*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*d + 90 = 0, -14*d = -3*j - 11*d + 225. Suppose 0 = -2*u + 326 + j. What are the prime factors of u?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (65\/(-13))\/(-15) - (-5)\/3. Solve -3*k - 3 = -u*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 34845162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88918890 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*w - 12 = -619*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5*(5\/(-6))\/((-55875)\/1490)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let i(s) = 196*s**2 + 5. Let q(u) = 4017*u**2 + 103. Let h(x) = 103*i(x) - 5*q(x). What is h(p(b))?\nAnswer: 103*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 < 402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.108992 kilometers?\nAnswer: 8108992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 4*w - 1. Let c be f(2). Suppose 9*m - 16 = 10*m + 4*l, m - 19 = c*l. Solve r - m*r = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Let v = -1 - j. Let z = -0.7 + 1. What is the smallest value in z, v, 2\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 + (-223)\/(-116). Let j = -2937\/290 - x. Find the common denominator of j and 13\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3*r - 2. Let v(u) = u**3 - 4*u**2 - 4*u - 2. Let o be v(5). Suppose -o*n + 1 + 8 = 0. What is the tens digit of y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 5 - 5 + (z - 4*z + 2*z)*(-3 + 2 + 12) + (0 + 0 - 3)*(2*z + 2*z - 5*z) to the form n*z + b and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -271, -409, -549?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c - 57 = -4*o, 4*o + 24 = 4*c. Let f be (-3 + c)*(-2)\/4. Let d(k) = -3*k - 1. What is the units digit of d(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose 0 = 3*g + 5*c - 3*c - 5, 0 = -5*g - o*c + 11. Let r = 10 + -7. Solve -f = r*j + 17, -j = 4*f + g*j + 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1461226 and 95\/3612.\nAnswer: 61371492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 60 - 2 + 196*w**2 + 14*w**2.\nAnswer: 210*w**2 - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25501091 and 4636562.\nAnswer: 51002182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2930901*v**2 - 2451*v**4 + 2930901*v**2 + (-5 + 2 + 2)*(-v**2 + v**2 - 2*v**4).\nAnswer: -2449*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*s - 56*s**2 + 71*s + 70*s - s**3 - 248*s.\nAnswer: -s**3 - 56*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22042, 21831, 21466, 20947, 20274, 19447?\n\"Answer: -77*o**2 + 20*o + 22099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 9:19 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 169472184 divided by 42?\nAnswer: 4035052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 + -24.87. Let q = 23 + b. Let p = 1.3 + -0.3. Put p, 0, q in descending order.\nAnswer: p, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28018 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.3, -0.2256 in decreasing order.\nAnswer: -0.2256, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4 - -1)\/((-45)\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 351 - 0?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147288, 294498, 441708, 588918?\n\"Answer: 147210*m + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195.2 - 23.78. Let h = n + 219. Put 0.05, h, -2 in descending order.\nAnswer: 0.05, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4862 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 97*f - 4. Let w be j(12). Suppose w = -6*a - 2*a. Let s = 1593\/11 + a. Is s at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6055092 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -36289 (base 10) to base 13\nAnswer: -13696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26200 = 18*p - 28*p. List the prime factors of p.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4 + 18. Let h(y) = 14 - y**2 + 21*y - 5*y - 26. Calculate the remainder when 46 is divided by h(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/75 + 12\/10. Suppose -4*t = j - 9. Suppose -3*w = -10 - t. Let u(y) = -y**3 + 2*y**2 + 2*y + 3. Give u(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/3)*p*p)\/(p**(-5\/2)*p) assuming p is positive.\nAnswer: p**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 7*s - 142. Let h be p(9). Let m(q) = q**3 + 1. Let c(t) = t**3 - 4*t**2 + 2. Calculate h*m(o) - c(o).\nAnswer: o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 308 - 306. Let a(g) be the second derivative of -1\/3*g**3 + 3*g - g**b + 1\/10*g**5 + 0 + 1\/6*g**4. Factor a(m).\nAnswer: 2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + -1.2. Let s = 1 - -3. What is the closest to y in s, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + p - 3 = -p, 10 = -5*w + 5*p. Let c = 1 + -1. Suppose -z + 7 = -o, 3*z - 3 = -3*o - c. Sort -3, w, z in descending order.\nAnswer: z, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -1\/3*v**3 + 3*v - 3 - 1\/24*v**4 - v**2. Let z(i) be the first derivative of r(i). What is t in z(t) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**2 + 53474110*y + 106948240 = 0.\nAnswer: -2, 10694824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2012 (base 8) to base 9\nAnswer: -1368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 8*w**2 + 13*w - 11. Give u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8223 + 8739172.494\nAnswer: 8739173.3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -875 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:27 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/119 and -13\/2604978?\nAnswer: 18234846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 11*b**2 + 11*b + 14. Let d be q(12). Suppose 2*u - 3*y - 35 = d*y, 2*u - 2*y = 20. Put -3, -5, u in descending order.\nAnswer: u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 53, 123, 221, 347, 501?\n\"Answer: 14*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25752*r**4 + 25180*r.\nAnswer: 309024*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/15 + j**4\/3 - 4*j**2. Factor f(g).\nAnswer: 4*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/50 equal to 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-32 + 18 + 16)*(4*s - s - 2*s)*(4 - 5 + 0)*(2 - 3 - 1).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, -2, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = 3*t - 2, 2*q = -5*t + 27. Suppose -n + 3*f = -f - 18, 0 = -t*n + f + 52. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7937, -32351, -73043, -130013, -203261, -292787?\n\"Answer: -8139*b**2 + 3*b + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - p - 3*p - 8. What is the tens digit of s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9852518 * -0.1\nAnswer: 985251.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 8 - 0. Let b be 4 + -6 + (2 - z). Let o(w) = w**2 + 4*w + 3. Calculate o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 13*g - 25. Let u be a(-10). Suppose f = -u, -3*o - 3*f = -8*o + 150. Let w = -27 + o. Solve -c - 2*z + 0 - 9 = w, -5*c - 5*z - 30 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/48*2\/(-5)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 2*o - 18, 3*o = -5*t + 13. Let u = t - -3. Find the first derivative of h**2 - 4 + 1 - u*h**2 wrt h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 2*m - 264. Let x be (-3 + (-112)\/m)*1. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**7\/210 - i**6\/120 + 79*i**5\/30 - 2243*i**4\/12 + 4*i**2 - 2*i - 23. Find the second derivative of z(j) wrt j.\nAnswer: -12*j**2 - 6*j + 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*q - 88*q + 1140 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -70518, 1, -2\/9, 0.4, 3 in decreasing order.\nAnswer: 3, 1, 0.4, -2\/9, -4\/5, -70518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02 and 0.00015.\nAnswer: 0.02015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/64 - (-19)\/4. What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2712 + 2678 = -20*x. Solve -4*k = x*u + 26, 3*k - 3 = 5*u - 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 - -0.17. Which is the second smallest value? (a) 1\/5 (b) 1\/6 (c) -0.1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:24 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 7*v = q + 11, -26 = 5*v + 2*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 28, -36, -136, -278, -468, -712?\n\"Answer: -s**3 - 9*s**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3745602 divided by -6?\nAnswer: -624267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/21 (c) 2\/7 (d) -25 (e) -4\/11 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by 11005867\nAnswer: -59\/11005867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42387858 by 4022.\nAnswer: -10539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1024 + -1021. What is the nearest to 4 in 5\/4, m, -0.02?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*w - 219 = -183*w + 3*u, 5*w - 5*u - 1125 = 0. Calculate the highest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**4 + 9*v**3 - 402*v**2 wrt v?\nAnswer: 72*v + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123905329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1544671.75 - -4807.\nAnswer: 1549478.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -543 + 22805\/42. Let b = z + -11\/42. Suppose -1 = 14*q - 13*q. Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + 2.2. Let u(w) = w**2 + 0 + w - 2 - w**3 + 2*w**3. Let j be u(0). What is the nearest to 1 in c, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 9785.0337?\nAnswer: 29355.1011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8187 - -8190. Solve -z*o - 2*y - 12 = 0, -21*y - 18 = 3*o - 17*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27526202?\nAnswer: 2, 11, 31, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 12. Let t be q(-4). Suppose 0 = 7*a - t*a - 112. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2. Suppose 10*i + 45 = 9*i. Let q = i + 52. Let r(g) = -q*g - 9*g + 14*g + 29*g. Calculate v(r(a)).\nAnswer: 729*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-42))\/(9*(9350\/714)\/(-25))?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*d + 323*d**2 - 74*d - 7*d**3 + 91*d**2 - 503*d**2.\nAnswer: -7*d**3 - 89*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4, -3, -41, 3 in decreasing order.\nAnswer: 4, 3, -1\/4, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + 0*z - 2*z)*(6 - 4 + 0) + 0*z - 9*z + z to f + w*z and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1795182?\nAnswer: 3590364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 20180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v - m - 4 = 0, 5*v = m + 16. Solve -5*q + v*q = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, j: 5, c: 2}. What is prob of picking 3 n and 1 c?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5260136 is divided by 5362?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8653.39 years?\nAnswer: 103840.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*y**2 - y**2 + 4*y**2)*(2*y**2 - y**2 - 2*y**2) + 4*y**4 - 4*y**4 + y**4)*(3 + 5 - 13).\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i - 325*i - 129*i - 25340 = 232*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -175781 (b) -4 (c) -3\/2 (d) 108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138189 divided by 46063.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2656761 and 1038.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 104850 divided by -52425\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (6 - -1)\/(-1). Let m(v) = -2 - d + v + 0*v. Let c be m(9). Solve -5*g = -c*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1 + 4 = 5*n, -y = -2*n + 3. Suppose -28 = -o - 2*o + 2*u, n*u + 16 = 2*o. What is the greatest common divisor of 96 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -8. Suppose 2*q = 5*f, -2*q - 3 + y = 2*f. Suppose -5*b + 12 = 2*v + v, 0 = -f*v + 5*b + 33. Are v and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -2 + (11 - 10) - (-1 + 3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 8:21 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5.471 + 5\nAnswer: -0.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.4, -3, -2\/5, -4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14961 - 493762\/33. What is the common denominator of -49\/18 and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + 2 + -5*sqrt(176)))**2*-3 + 0 + -1.\nAnswer: -119233 + 4320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103544022 - -1?\nAnswer: -103544021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 13. List the prime factors of s\/(-6)*(-162)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556926069 to the power of 1\/3, to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13395\/(-42159) + 4\/46\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -25*c**2 - c - c**3 + 62*c**2 - 18*c**2 - 20*c**2. Let f(g) = -2*g**3 - g**2 - g. Let i(a) = f(a) - 3*z(a). Determine i(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1479? (a) -7 (b) 5\/3 (c) -0.4 (d) -2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.26, -0.9 in descending order.\nAnswer: -0.26, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 16. Let o be -6*16\/(-12) - c. Suppose -4*f = -3*k + 17 + 756, 0 = -3*k - o*f + 782. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/2 - 1993*f**3\/2 - 7961*f**2\/2 - 9947*f\/2 - 1989 = 0 for f.\nAnswer: -1989, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/18 and (-56)\/154*-11 + (-526)\/108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 1. Let j(l) = l**3 + 3*l - 3. Let f(s) = 3*i(s) - j(s). Let m be f(-2). Solve m*z = -4*q, 0 = -2*z - 0*q + 5*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(((-8)\/2)\/4). Let w = 0 - h. Let o(v) = v + 1. Let t be o(w). Is t at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 955 = 4*u - 5*b, 5*b - 1 = 4. Calculate the greatest common factor of u and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30455351.08 - -0.4?\nAnswer: -30455350.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2) + -1 - -1. Suppose b + j*b = 3. Solve -6 = b*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6755.029 millilitres in litres?\nAnswer: 6.755029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/6 - 23\/30. Let x = 0.15 - -1.35. Let z = 1.3 - x. What is the biggest value in k, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {g: 3, k: 1, x: 6, p: 3, z: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*w = -3*o - 37, -4*o + 176 = -2*w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1706 - 0 - (-3 + -3). What is the smallest common multiple of 30 and ((-6)\/(-4))\/((-30)\/j)?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170563 divided by -5\nAnswer: -170563\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1715))\/sqrt(567) + sqrt(125)*-3 + 6*(-2 + sqrt(5)) + -2)**2.\nAnswer: 2660*sqrt(5)\/9 + 61001\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -26. Sort -1, -2, 1, j.\nAnswer: -2, -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -11*s**2 - 3*s - 14. Let z(l) = -5*l**2 - l - 7. Let p(n) = -6*t(n) + 13*z(n). Determine p(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - i + 1 + 3)*(i**2 - 6*i**2 + 9*i**2).\nAnswer: -4*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 59627873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 - 195. Solve -4*z - 14 + w = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-105)\/6)\/7)\/(((-2)\/4)\/1). Sort x, 43, 3, 0.01 in ascending order.\nAnswer: 0.01, 3, x, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/375 and (111\/(-4))\/(455625\/486).\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 12\/(-8))\/(5\/4). Let g(l) be the third derivative of -l**5\/15 - l**4\/24 + l**3\/3 - 4*l**2. Calculate g(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.5 - -4.5. Which is smaller: n or 9\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*0.147172025.\nAnswer: -1.1773762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 6970*x - 1059*x - 683*x - 639*x - 888*x as n + l*x and give l.\nAnswer: 3701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*w - 47, -2*c - 2*w + 50 = -0*w. Suppose -4*t - 9 + c = 0. Find the third derivative of 12*j**2 - j**4 + j**3 - j**t + 13*j**4 wrt j.\nAnswer: 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8592618 is divided by 58453?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77351091.\nAnswer: 3, 29, 179, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 5*p**4\/24 - 5*p**3\/6 + 46*p**2 - 3*p. Let v(c) = 3*c - 2. Determine -5*v(b) + 2*z(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 5, 0.4, -2954, -0.088?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(325\/60)*(-90)\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, -0.7, 1\/3, 1\/7 in decreasing order.\nAnswer: 1\/3, 1\/7, -0.7, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43\/152 + -5\/152. Factor v*a + 3\/4*a**2 + 0.\nAnswer: a*(3*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 7*b**2 + 19*b - 3. Let m be y(9). Is (-3)\/(81\/m) + 2774\/9 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 3*u - 253 = 0. Let i = 36 + u. Suppose -39 = -d - i. Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*j = -0*j - 4, -5*n + 20 = 3*j. Let c be -3 - (1 + n) - -3. What is the closest to 0.1 in -1\/7, c, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37847197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 417.84498.\nAnswer: 125.353494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2228 + 2184 = -4*m, 18*d - 206 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654650 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31744066019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -62365588500 to the nearest 1000000.\nAnswer: -62366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15179.59400046 - -15179.6. Let m = 0.006 - y. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-2)\/5 + 847\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4279899260.\nAnswer: 2, 5, 7, 13, 17, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = 0, -b = k - 3*k + 46. Let n = b - -47. Suppose 0*c - n*c - a = -213, -4*c = -3*a - 178. Calculate the remainder when c is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u + 3*u + 3 + u. Let j be s(3). Solve -2*r - r - j = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 574 + 105. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 11685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -668.3 + 668.1. Sort h, -2\/5, -205, -3.\nAnswer: -205, -3, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 2*b - 9. Let d(u) = 3*u**2 - 4*u + 8. Give 2*d(m) + 3*k(m).\nAnswer: -3*m**2 - 2*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 1\/3, 11, 0.6 in decreasing order.\nAnswer: 11, 0.6, 1\/3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1664, 3229, 4724, 6149, 7504, 8789?\n\"Answer: -35*j**2 + 1670*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70387.16nm in micrometers?\nAnswer: 70.38716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28236 and 74501772?\nAnswer: 968523036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472 and 604514.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 8:02 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5 = 13. Suppose -d - 2 = -p. Let y(j) = j**2 + 11*j - 781. Calculate the least common multiple of y(-34) and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:41 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 11*a - 790 + 788)*(3*a**4 - 3*a**4 + a**4).\nAnswer: 5*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 200744 - 4440901.535\nAnswer: -4240157.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10460000 rounded to the nearest one hundred thousand?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.718 rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2. Let f(c) be the first derivative of 135*c**2\/2 - 1555. What is a(f(s))?\nAnswer: -54675*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 83090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2948600.\nAnswer: -2948600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 47*t**2 - 280*t - 67. Let p(b) = -72*b**2 + 420*b + 100. Let m(u) = -5*p(u) - 8*y(u). Find h, given that m(h) = 0.\nAnswer: -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 121.524 + -15.234. Let s = 1.29 - n. Let o = 95.8 + s. What is o rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 64*o**3 - 304*o**2 - 320*o.\nAnswer: 4*o*(o - 20)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/426 and -59\/3.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313036748.\nAnswer: 2, 11, 617, 85201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332473?\nAnswer: 332473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 9*s**2 - 9*s + 3. Let l be i(8). Let h(o) = o**3 + 4*o**2 - 7*o + 6. List the prime factors of h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1164 and 12039406?\nAnswer: 12038242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-8)\/(-24) - (-64)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 4*u - 2*u - 5*n + 45, -64*n - 6 = -u - 66*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 - q - 1. Let u be x(-6). Let s(v) = v - 1. Let b be s(u). What is the least common multiple of 7\/2*b\/7 and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**5 - 2013*s**3 + 36*s**2 - 231174515*s.\nAnswer: 20*s**3 - 12078*s + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 4*u**2 + 4*u**2 - 2*u**5 + (-1176*u**2 + 602*u**2 + 827*u**2)*(-3*u**3 - u**3 + 5*u**3).\nAnswer: 251*u**5 + u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10 = -h - 2, 0 = -2*h + b - 51. What is the units digit of (-8)\/(-28) - h\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b, -b - 17 = 5*j + 28. Let z(n) = n**2 + 2*n + 3*n - n. Let o be z(j). What is the greatest common factor of 18 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.06 - 79.06. Let q = o + 78.1. Let g = -0.1 + -0.3. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*((-w + w - 2*w)*(-3 + 2 - 1) + 2*w - 2*w + w - 450 + 68*w + 450) - 1 - 2*w + 1 + (-1 - 1 + 4)*(6*w + w - 5*w) + 0 - 2*w + 0.\nAnswer: -146*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7540 (base 8) to base 9\nAnswer: 5353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**8\/47040 - v**7\/8820 + v**6\/5040 - v**4\/12 - 11*v**2. Let c(j) be the second derivative of i(j). Solve c(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:42 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18700 smaller than 18702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*w**2 + 17*w + 107*w**2 + 195*w in the form p*w + z + q*w**2 and give p.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 45*p. What is the remainder when y(2) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 1\/6*j**4 + 0 - j + 0*j**2 + 0*j**3. Let g(t) be the second derivative of 7*t**4\/12 + 2*t. Determine g(n(c)).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 255*n - 125. Let v be i(6). Calculate the common denominator of 103\/10 and 5\/40 + v\/(-2600).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99 or 248041?\nAnswer: 248041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*l - 18 = -5*l, 5*z + 3*l + 22 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 643925 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 49*p**3 + 5*p**2 + 5*p - 1. Let z(c) = 25*c**3 + 3*c**2 + 3*c. Calculate -3*n(w) + 5*z(w).\nAnswer: -22*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 4 - 4 + 14*k to the form i*k + t and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -142712697?\nAnswer: 713563485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107485 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(160)*-4)\/(sqrt(1152) + 2*sqrt(1152))*2*6 + -5.\nAnswer: -5 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43\/10 - 14\/5. Let a = 5713 - 5733. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36300 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -4 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 613.4*21\nAnswer: 12881.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (sqrt(180) + 1 + -1 - sqrt(180) - (-2*sqrt(180)*-3)**2).\nAnswer: -6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9485732 and 4.\nAnswer: 9485732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1650794 and 5.\nAnswer: 1650794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 29*u - 33 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*i + z, -4*z - 9290 = -9250 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3086, -3089, -3094, -3101?\n\"Answer: -v**2 - 3085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = 8*g. Let s = 1 - g. Which is the nearest to s? (a) 2\/13 (b) 4 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4840260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**4\/24 + u**3\/3 + 3*u**2 + 4*u. Let z be 1 + (-4 - (-1)\/1). Give x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 6. Let j be f(-4). Suppose z - 12 = -j*z. Solve -i = z + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 15) to base 16.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 5*f**2\/2 - 12*f - 3. What is the smallest common multiple of 4 and m(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 140 = -0*y. Let w = 110 + y. Suppose -x - 4*h = -10, x + 3*h = 5 + 6. Calculate the remainder when w is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204736 + 18*x**3 - 204712 + 409448.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:32 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0534978 millilitres in litres?\nAnswer: 0.0000534978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 1. Let y = -29 + 25. Determine c(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tps when three letters picked without replacement from {r: 1, p: 5, s: 3, t: 4, q: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w + 3*w)*(3044 - 2*w - 1204 + 2575) as p*w + k*w**2 + a and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 22 - (6 + -4 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**4\/24 + 2*i**3 + i**2. Let y be v(10). List the prime factors of 1\/(0 - y\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - 344. Suppose -p*h + 9235 = -35*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 + 15*m**2 + 237*m + 4. Let t(p) = -4*p**3 - 8*p**2 - 119*p - 2. Calculate -6*r(z) - 11*t(z).\nAnswer: 2*z**3 - 2*z**2 - 113*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -576 - -2067554?\nAnswer: 2066756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.53 (b) -5 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 - 3*b - 8. Let y be x(5). Find the third derivative of -6*p - p**y - 2*p**2 - 3*p + 6*p**2 + 58*p**4 wrt p.\nAnswer: 1392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13736, 54951, 123638, 219791, 343404?\n\"Answer: -x**3 + 13742*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -11*i**7\/210 - 2*i**3\/3 + 3*i**2. Differentiate j(b) wrt b.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*g + 2356*g + 1436*g.\nAnswer: 3434*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 840 divided by 24\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782896219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-1)*t*t**(-26\/9)\/t assuming t is positive.\nAnswer: t**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.3412.\nAnswer: 0.6824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*f + 21. Let w be (-10)\/f*(-9)\/3. Suppose w*l - 76 = l. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 81 = 4*d, 3*l + 4*d - 648 + 703 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*s**2 - 3*s - 47*s**2 + 5*s in the form r*s**2 + d*s + b and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68661 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 34, 96, 206, 376?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49950469.\nAnswer: 73, 617, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1184 or 0?\nAnswer: 1\/1184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -4*l**5\/25 + 7*l**4\/20 + 14*l**3\/15 + 3*l**2\/10 - 66. Factor c(f).\nAnswer: -f*(f - 3)*(f + 1)*(4*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-6))\/((-60)\/180). Suppose b + 15 = 6*b. Let n = 9 + -5. Put b, n, x in ascending order.\nAnswer: b, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 - -212. Let u = g + -61.535. What is u rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a + 14. Let p be u(7). Let d be p - (2 - 0)\/2. What is the units digit of d - (-52)\/(3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2.75, 4 in descending order.\nAnswer: 13, 4, -2.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 1 e when three letters picked without replacement from fcfevcfffffcfcfef?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -31. Let m = d + -13.8. Suppose w + 3 = -z, -3*w + 0*z - z - 3 = 0. Is w bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84279 or -84278?\nAnswer: -84279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165707712?\nAnswer: 2, 3, 16488061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*z + 1114, -c - 2*z + 1676 = 2*c. Round c to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 7, d: 2, j: 8, w: 1}. Give prob of picking 1 l and 1 w.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oookkkokkkoookoku.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 852860, -3 in increasing order.\nAnswer: -3, 6, 852860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*d + 9*d + 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (4\/(-1) - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r**2 + 73 - 1177*r**3 + 0*r**2 + r**2 + 10*r**2 + 31 wrt r.\nAnswer: -7062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 - -5076.743\nAnswer: 5296.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0593*-370.\nAnswer: -21.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -211200 (base 4) to base 2\nAnswer: -100101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 18*b**2 - 16*b - 17. Let o be t(17). Suppose o = -5*v + 7*v - 6. Calculate the least common multiple of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*n + 18, 0*n - 5*n = 4*x - 26. Suppose -43 = -x*m + 9. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - -56) + 5 + 59 + -16.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63.7 and 658.\nAnswer: 721.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:08 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from vvugbvvvv.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*l**3)*(9*l + 4*l - 2*l + (-1 - 2 + 4)*(-2*l - 1 + 1) - 1 - 2*l + 1).\nAnswer: -21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000035538 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16857 - 6343 = 1450*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9519779 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.8 - 21. Let b = a - -0.3. Let s = -0.6 + 0.2. Sort s, -1, b.\nAnswer: -1, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0 + 5*i + 10*i + 11 - 3*i - 3*i + 4*i**2. Calculate d(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.68 - 0.87. What is the nearest to 1 in k, -1\/2, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 20 + 1. Suppose 5 + 0 = 5*h, 4*p - h = x. What is the third derivative of f**2 + 0*f**3 + 0*f**3 - p*f**3 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 60 = -4*c, -2*c + 5*t + 0*t - 30 = 0. What is the tens digit of (-78)\/4*10\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9\/1105 - -13517\/4420. Let k be (1\/(-6342))\/(-1)*-2. Let f = k + 23609\/8456. What is the common denominator of f and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 12573.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 14 = 3*h. Suppose 4*q - 23 = 5*j, q - 5*q = 2*j - 2. What is the remainder when h is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 475*i + 2375. Let t be f(-5). Factor 3\/7*d - 3\/7*d**3 - 4\/7*d**4 + 4\/7*d**2 + t.\nAnswer: -d*(d - 1)*(d + 1)*(4*d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 5 - 1)*(-32*k**2 + 104*k**2 - 33*k**2) as y*k**3 + s*k + o + g*k**2 and give g.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + (-8)\/(48\/(-18)). Calculate the greatest common factor of d and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*d**6 + d**5 - 72*d**3 + 4*d**2 - 34428*d wrt d?\nAnswer: 3360*d**3 + 60*d**2 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s + 3. Let k be (-96)\/s*(-6)\/(-4). Let i = -11 + k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 2*s + s - 5 - 7 - 6 in the form f*s**2 + l*s + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670*k = -667*k + 1245. Let w = 52 - k. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4928?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 102*d - 85. Let t(k) = k + 9. Let p(o) = -3*o - 22. Let r(v) = 2*p(v) + 5*t(v). Calculate -85*r(y) - w(y).\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15920 divided by 40\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 8*k = -14*k - 1980. What is the highest common factor of 1089 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*5*(sqrt(132) + (sqrt(132) - -1*sqrt(132))))\/((sqrt(588) + sqrt(588) + sqrt(588) + sqrt(588)*-1*4 - sqrt(588)) + 5*(-2*sqrt(588) + sqrt(588))).\nAnswer: 90*sqrt(11)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -0.04, -3, 70 in decreasing order.\nAnswer: 70, -0.04, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8 = 5*j - j, 5*j - 21 = q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -2*h + 5*h + 2*s, 5*s + 265 = -5*h. What is the least common multiple of h\/15*(-25)\/10 and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 41.2. Let x = -0.006 - -0.206. Let v = x - g. Which is the closest to -1? (a) v (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -14 (c) -33 (d) 7.842 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 117106646 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36063624 divided by -9015906\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7740 divided by 12.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 - 2306*i = 0. Calculate i.\nAnswer: 0, 2306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Suppose -3*x + 0*i = -p*i - 179, 4*i - 98 = -2*x. Is 2 + x\/3 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2930 - -55713\/19. Let l = 281\/57 - t. Factor -4\/3*f - l*f**2 + 4\/3.\nAnswer: -4*(f + 1)*(2*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2. Let d(o) = -o**2 - 3*o - 69. Let c(y) = -d(y) + 4*t(y). What is the derivative of c(j) wrt j?\nAnswer: 10*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776124822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*m - 2 - 198*m + 2.\nAnswer: -119*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 4*v + 2575. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {f: 9, g: 2, r: 6, z: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96500.62 + -349260.\nAnswer: -445760.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33166 and 1668394?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*b + 5 = 0, -i + 5*b - 2 - 3 = 0. What is the tens digit of -17*(1 - 2) + i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Let n = 4 - k. What is the nearest to 1 in 1\/4, -4\/7, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((-1*sqrt(468) - sqrt(468)) + sqrt(468)) - sqrt(468)) + -4)**2 + -4.\nAnswer: -96*sqrt(13) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9397, 19834, 30283, 40750, 51241, 61762, 72319?\n\"Answer: c**3 + 10430*c - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230744 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1442*b + 2605*b + 1830*b - 125706 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 3}. What is prob of sequence uuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42786 and 474.\nAnswer: 3380094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 441407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -490926*n**2 - n - 304571.\nAnswer: -981852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j**2. Let u(s) = -6*s - 4. Let b(k) be the first derivative of -5*k**2\/2 - 3*k + 17. Let m(v) = -4*b(v) + 3*u(v). Calculate m(l(d)).\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4 - t**2 + 4*t + 2*t + 2*t**2. Let y be q(-8). Solve y = -3*s - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)*16\/(-4). Let p be (-2)\/(-4) + 12\/8. Let x be p\/8 + (-1)\/4. Solve x = -b - 2*o + 1, 3 = -b - q*o - 0*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let f = 49 - 11. Suppose -4*z = -f + k. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*t - 66, -2*v + 0*t = -2*t - 30. Let r be 46\/14 - 4\/v. Let l(w) = w**2 - 9*w + 16. Let m be l(7). Solve 5*o = r*o - m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Suppose 5*h - 41 = 3*r - 5*r, 4*r = -8. Let u be ((-2)\/4)\/(h\/(-10) + 1). Put x, u, 0 in descending order.\nAnswer: 0, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 314354.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 190 = -136. Solve -4*m = b + 12, -3*b - d*m = -6*b + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5438.8312 to 0 dps.\nAnswer: -5439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 7, l: 4}. Give prob of sequence pddd.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 4*b**2 + b - 1. Let z be d(-3). Let r be (-2)\/z + 78\/(-30). Is (r - (-63)\/(-6))*-2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*w - 13. Suppose -q = q - w. Let u = 1.9 - -0.1. Which is the closest to 0? (a) q (b) 8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**2 + 35. Suppose -9*f + 66*f - 124 - 161 = 0. Let s(p) = 7*p**2 + 36. Calculate f*r(l) - 4*s(l).\nAnswer: 2*l**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -575, -776, -865, -806, -563, -100?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5081975?\nAnswer: 5, 203279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -0.2, 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 27 = 3*h, 5*g - 3*h = -h + 32. What is the remainder when 69 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*s + 6 = -v - 260*s, 2*v + s = 6*v - 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*h + h. Let u be 7*(-2 - h\/7). Solve -3*j + 6 = 4*p + 1, -u*j - 6 = -2*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 + 2*p + 6. Let f be b(-4). Let q be -347 + f + 4 + -5. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1. Let b(f) = f - 4 + 6*f**2 - f**2 - 3*f**2 + 0. Let c be (2\/(-6))\/(1\/9). What is c*i(w) + b(w)?\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - -0.23. Let s = -18\/5 + 17\/5. Suppose 2*f + 4 = -0, 4*r + 3*f = -2. Which is the closest to q? (a) s (b) 4\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 >= 256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079241 is divided by 179867?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*-2*sqrt(672))\/(sqrt(12) - sqrt(108)*-1))\/((-1*(-1*sqrt(72) + sqrt(72)) + sqrt(72))\/(sqrt(63)\/(sqrt(7)*-2))).\nAnswer: -4 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, l: 2, y: 1, s: 6, o: 3}. What is prob of sequence soyk?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1843075*q + 27646151. What is k(-15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k + 61*k + 3625 = 21*k - 63*k for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38495770 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 7*v + 26*v**2 - 13*v**2 - 12*v**2 - 2 - 2*v. Let z be (-7 - -1)*(-2)\/(-3). What is r(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -45*i + 231 + 215 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - l + l + (3 - 3 - l)*(1 - 2 + 2) + 0 + 3*l + 0)*(l**3 + 5*l**3 + 2*l + 0*l) as n*l**2 + v*l**4 + o*l + j*l**3 + q and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 8) in base 4?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -914 - -3025. Let z = k - 1935. Let p be 6\/4*(-88)\/(-3). What is the highest common factor of z and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 - -3 - (-324)\/2. Suppose -5*p = w - 605. What is the tens digit of -3 + -12*p\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + 2 - (2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 581 = 5*w - 3*u, 3*w - 6*u + 14*u + 391 = 21*u for w.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44.30678t?\nAnswer: 44306.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 + 501*h**2 - 22113*h + 98415 = 0.\nAnswer: 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -872\/3 + 288. Let q = -7\/3 - f. Suppose q*c**4 + 0 + 5\/3*c**2 - 4\/3*c**3 - 2\/3*c = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-54))\/(1\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*r**3*u**2 - 2*r**3 + 23*r*u**2 - 11*u**2 wrt r?\nAnswer: 54*r*u**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 15*y**2 + 14*y + 10. Suppose -23*c - 495 = -32*c. Let t = c + -40. Is 32 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 2 + 1\/40*f**6 + 0*f**5 + 0*f + 0*f**3 - 1\/8*f**4 + 2*f**2. Factor d(o).\nAnswer: 3*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13729 - -13862. Solve 2*x + 15 = -5*m, -5*x + t = -5*m + 118 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1088*o**3 - 342*o + 169*o + 2*o**4 + 173*o + 2484*o**2 - o**4 wrt o?\nAnswer: 24*o - 6528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 10*x - 9*x**2 - 10*x**2 + 3*x + 0*x**2.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 + 7*y - 5. Let i be k(1). Suppose 164 + 256 = i*o. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, q: 3, v: 1}. Give prob of sequence qq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -957264 times -4\nAnswer: 3829056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679650 a multiple of 1730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -4, -3, 2, 11?\n\"Answer: 2*l**2 - 9*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10)\/((-66)\/(-3520)*16). Put -5, -11, 5, y in descending order.\nAnswer: 5, y, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 16 = 1. Let f = -1 - w. List the prime factors of (-3)\/12 + (-85)\/f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59004 and 6854.\nAnswer: 1357092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3\/4 - 651*g**2\/4 + 3987*g\/4 - 6021\/4 = 0?\nAnswer: -223, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q + 8*q + 16*q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96793037.\nAnswer: 11, 937, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6 = -p, 4*p + 17 = 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5434635941311 and 56.\nAnswer: 5434635941367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6891?\nAnswer: 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (164\/8 - 0) + -3 and -79\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4593, 4649, 4705, 4761, 4817, 4873?\n\"Answer: 56*d + 4537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-518)\/(-21))*((-16)\/(-8))\/2?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.19, -1\/3, 0, 8\/3, 1 in decreasing order.\nAnswer: 8\/3, 1, 0, -2\/11, -0.19, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 66, 3\/55, -2\/21?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0.3, -3\/2 in descending order.\nAnswer: 5, 0.3, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3)\/(8*(-3)\/(-72)). Suppose n = -3*n + 56. Let l = 50 - n. Calculate the greatest common divisor of l and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3114 + 1?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 8*k + 2. Suppose 4*n - 26 = -2. Let b be q(n). Solve 3*p - 3*c + 8*c = 5, -4*p - 3*c = -b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 - 4*k - 1. Let f be j(5). Let q(i) = -6*i + 29. Let g be q(f). Let a(l) = -l**3 + 6*l**2 - 5*l + 7. What is a(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1341 and -14010.\nAnswer: -1878.741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/49, 0.6, 42 in descending order.\nAnswer: 42, 0.6, -25\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32676, -65343, -98010, -130677?\n\"Answer: -32667*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*h = 9, 0 = -6*q + 5*q - 3*h - 7. Solve q*n - 7*n + 2*o + 5 = 0, -2*n + 8 = -2*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 66 = -34. Let m be 49\/147*24\/y. Suppose 16\/5*v + 0 - m*v**2 = 0. What is v?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 55940916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**5 - u**5 + 0*u**5)*(-4 + 2 + 1 + (-76 + 27 - 115)*(-2 - 1 + 4)).\nAnswer: 495*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4\/3 (b) 1\/415 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) - (-616)\/(-70). Let q be (-4)\/18 - 38\/d. Differentiate -r**q - 10*r**4 + 0 + 2 with respect to r.\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31848.\nAnswer: 2, 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 5. Let v(q) = 2 - 2 + 1. Determine -r(h) - v(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/181? (a) -4\/7 (b) 0.5 (c) -27\/4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -44*f**3 + 702*f**2 + 23*f - 26. Give w(16).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-8))\/((-6)\/(-120)). Let r = p - 2. Solve -2*i + r*i - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 116?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1786 - -1975. What is the greatest common factor of 224 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3146*s = 58295 + 83275 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*p - 27781 + 55560 - 17*p - 27783.\nAnswer: 25*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380391999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -186d - -6e0?\nAnswer: -117d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6\/25, -8, 6?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139548503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/15 + 3 + (-5652)\/20. List the prime factors of (-208320)\/y + 1\/3 + -1.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 + 108. Let b = r + 18. Let n = b - -59.000027. Round n to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 11*c**2 + 4*c - 3. Suppose -10 = z - 2*i, -3*z = 2*i - 15 + 45. What is the units digit of w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2 and 81\/2806?\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003060867 to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699716 is divided by 230?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31988 and 24002632.\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 49, 5, -11310?\nAnswer: -11310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9044 is divided by 117?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10287 is divided by 96.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16888?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/7, 3\/5, -338, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-6) - (1848\/63)\/(-22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124804 (base 15) to base 2.\nAnswer: -11010101110110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 5, 17\/13, -4 in decreasing order.\nAnswer: 5, 17\/13, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571 is divided by 521.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**3 + 24*f**3 - 7*f**3.\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 - o - 2. Let v be (-40)\/18 + (-88)\/(-396). Give n(v).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-21\/5)\/k)*k)\/k)\/k)**47 assuming k is positive.\nAnswer: k**(1222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 210?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -436 - 0?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/(-6) + 4 + -2 + 5. Is a equal to 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2, -1.8 in ascending order.\nAnswer: -1.8, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 155915808 a multiple of 677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 5, -1.\nAnswer: -1, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h - 15. Let s be (-4 - -5) + 12\/2. Let b be c(s). Suppose -6*f = 2 - b. Solve 0 = -f*n + 2 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**2 + 4*b**2 - 28*b**2 + 67 to h*b + r*b**2 + p and give p.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-16) - (1698\/(-24) + 2). Let t = y - 66. Solve -w + 4*k = -24, 5*w - w - 1 = -t*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) 0.047 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 - 1309*s - 42108 = 0.\nAnswer: -1276, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j - 1. Suppose 3*s = -13 + 4. Let z be (-1)\/(-3 - 10\/s). Let w be y(z). Solve -3*r + 7 = 4*v, -3*v - w*v = -4*r - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 152, -4, -147?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*k + 58365, -3*a + 5*k + 8007 = -27044. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a - 5*a**3 - 5*a**2 + 8*a**4 + 9*a - 3*a**4.\nAnswer: 5*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*c**2 + 31*c wrt c.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67022, 268362, 604008, 1073960, 1678218?\n\"Answer: 67153*j**2 - 119*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (64 - 6) + 29.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 8 = -7. Let v = 0.33 - -0.17. What is the fourth biggest value in a, v, 0.08, 4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 + y + 4. Let b(m) = 7*m**2 - 2*m - 5. Let k(v) = -3*b(v) - 4*j(v). Let n be k(1). Solve -2*h - n = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -130 - ((-31395)\/161 + 74).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2 - 4*q**2 - 5*q + 5*q. Let i(y) = -y**2. Let g be (1 - -7)\/2 - 1. Let l(z) = g*i(z) - v(z). What is the derivative of l(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109512 is divided by 633.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2223712 by 84.\nAnswer: -555928\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 907 and 212.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3 - 202*k**2 + 4601*k - 4400 = 0.\nAnswer: 1, 25, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7*(-22)\/1078) - ((-41148)\/981)\/3.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.2. Put -1\/10, u, 1 in descending order.\nAnswer: 1, u, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 3*f**3 + 21*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3312601.\nAnswer: 3312601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134240, -134235, -134230, -134225?\nAnswer: -134220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9110660*k**6 - 439714*k**2 + 25*k wrt k?\nAnswer: 1093279200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*q + 22 = 0, 5*g = -3*q - 2*q + 100. Is 5234\/g - ((-40)\/18 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -278*s - 1668. What is the units digit of x(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*w - 9, -5*w - 5*r - 6 = -3*r. Solve w = -x - 0 + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l. Let o(b) = 24*b. Let v(s) = -s**3 + 28*s**2 + 56*s - 26. Let f be v(30). Let q = f - -150. What is q*o(j) + 15*x(j)?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -6. Let z = 2 + h. Which is the smallest value? (a) -5 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2652 (base 9) in base 7?\nAnswer: -5543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9))**(-36) assuming k is positive.\nAnswer: k**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 21*x + 13. Let f be 70\/6 - 34\/51. What are the prime factors of i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**2*y**3 + 1484951*p**2*y**2 - 2*y**4 + 111087*y**3 wrt y?\nAnswer: -24*p**2 - 48*y + 666522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9 - -5.4. Let n = -288 - -3170\/11. Which is the nearest to 2\/9? (a) 0 (b) x (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2407 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1229056 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 4*t**2 + 2*t - 5. Let l be j(4). Suppose 3*i = 4*i - l. Solve 0 = -q - i - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 - 8*j**2 + 6. Let h(f) = 5*f**3 - 9*f**2 - f + 6. Let w(v) = 5*h(v) - 6*s(v). Give w(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a*t**3 + a*t**2*y**2 - a - t**3*y + 28*t**2*y**2 - 3*t**2*y with respect to a.\nAnswer: -7*t**3 + t**2*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 2678*q + 3*q**2 - 2678*q)*(3 - 3 - 2*q) - 5*q**3 + 6*q**3 + q**2 - 17*q**3 to the form w*q**2 + o*q**3 + d*q + z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23852585 or 1?\nAnswer: 2\/23852585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 49\/2, -18, 3\/4 in descending order.\nAnswer: 49\/2, 3\/4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9141035 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 818847 + -1696800. Let j = m - 872047. What is j rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Suppose -r - 49 - 51 = -5*f, -3*r = 0. Suppose 35 + 45 = f*d. Put s, 3, d in decreasing order.\nAnswer: d, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v - 5. Let o be (1 - -1) + (-4)\/2. Let r be j(o). Put r, 4, 5 in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) -4 (b) 294 (c) 1\/6 (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 10*z + 41. Let l be b(-6). Suppose -l*q = 20*q + 74. Sort 8, -5, q in decreasing order.\nAnswer: 8, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11 = -9. Suppose 155 - 41 = 4*y + 5*a, s*y - 3*a = 130. Suppose 2*h + 3*v = 6*v + y, h = 5*v + 33. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 7 + 8. Suppose a + 5621 = 2*t, 4*t + 0*a = d*a + 11245. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/6)\/(3\/4). Let i(b) = b**3 - 4*b**2 + 8*b - 23. Let y be i(5). What is the highest common divisor of c and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 24*m - j + 0*j - 14 = 0, 0 = -j + 2 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37\/84 - 3\/28. Let z = -351 - -353. Factor b*l**z + 0 + 0*l + 0*l**3 - 1\/3*l**4.\nAnswer: -l**2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*v**2 - 157*v**2 + 163*v**2.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 3*h - 69 = v + 6*h + 11, -v + 60 = 4*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13016*y**3 + 7*y**2 - 2*y + 79. Let f be p(-9). What is f rounded to the nearest one hundred thousand?\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, 17, -34 in decreasing order.\nAnswer: 17, -34, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 b when three letters picked without replacement from qjjvbjjbibaqjavbqqji.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55662 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from zyzmzzpgyzgzznzzzz?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f - 8. Let v be x(3). Let j = 18 - v. Suppose j*s + s - 810 = 0. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 584.3 * 0.072\nAnswer: 42.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -242, -2.\nAnswer: -242, -7, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 11*k**2 - 9*k - 6. Suppose -9 + 69 = 5*j. Suppose 2*g - j = -2*z, -22 - 8 = -4*g + 2*z. Is y(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 6:19 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21950 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -8. Let h = -0.6 - -1. Put n, -2\/5, h, -0.2 in descending order.\nAnswer: h, -0.2, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 4*z - 560. What is r(33)?\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 + j**4 - 2*j**4 + 2 - 2 - j**4 + (-j - j**3 + j)*(3*j - 4*j + 2*j) + 0*j**4 + 0*j**4 - 2*j**4 - 4*j**4 + 2*j**4 + j**4 - j**4 + j**4 - j**4.\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3295*v + 803880 = 5945*v for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 3*c**2 + 5*c**2)*(-138 + 218 - 244) as h*c**2 + u*c + w and give h.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25206826 divided by 4\nAnswer: -12603413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 3*r = 6 - 1, 0 = 2*v - 3*r - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 18.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 + -94. Round l to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 18*n - 254. Suppose -3*c = 3*p + c - 46, -c - 16 = -2*p. What is the smallest common multiple of p and l(20)?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/120 - m**5\/10 - 3*m**4\/8 + m**3\/6 + 8*m**2. Let i be s(-4). Suppose -t = i*t - 12. Solve t - 12 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208669*b**3*m**3 + 78819*b**3*m + 92*b**3 + 33*b*m**4 wrt m.\nAnswer: -1252014*b**3*m + 396*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*y*z**2 + 363*i**2*y**2*z**2 - 7*i*y**2*z**2 + 15*i*y*z**2 + i*z**2 wrt i?\nAnswer: -6*i*y*z**2 + 726*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m)*(0*m - 2*m + m) - 64 + 64 - 8*m**2 + (3*m - 2*m + m)*(11*m - m - 2*m) - 6*m**2 + 33*m - 33*m - 4 + 2*m**2 + 4.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = 214 - 364 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkffkkkkkkkk. What is prob of picking 4 k?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7220 and 1216?\nAnswer: 115520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328488 and 20?\nAnswer: 1642440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/24 + ((-2)\/(-11) - (-3101)\/308). Let c(r) be the first derivative of -15\/2*r**2 + z*r - 5\/16*r**4 - 9 + 5\/2*r**3. Factor c(p).\nAnswer: -5*(p - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719*p = 855*p - 66912. Calculate the remainder when p is divided by 58.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 4 - 5 + d**2 + 2 - d.\nAnswer: (d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 29 + 13 = 0. Suppose -83 = -5*j + 4*z - 0*z, 2*j + 3*z - 24 = 0. Solve 0 = a*f + 5*m - j, f + 3*m = -0*f + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 50 = -20. Suppose 0*c = -d*c + 12. Suppose 2*f + c*p = 46, -f + p - 4 = -23. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 + 1 + 3 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 72*h + 4197. Give x(-58).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 319724041 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(24))\/(sqrt(2) + (sqrt(2)*1 + sqrt(2))*5).\nAnswer: -8*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 - -50. Suppose 3 = -y, -5*w - 2*y + 0*y - b = 0. Are -40 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295632 and 3664.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30608, 30601, 30594?\n\"Answer: -7*v + 30615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 + 4*k + 5. Let n be v(5). Suppose n*c + 4*x = c - 47, 5*c = -4*x + 187. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p + 13*p - p**2 - 97767 - 3*p**2.\nAnswer: -4*p**2 + p - 97767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -1036\/507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -614318451 plus 3066?\nAnswer: -614315385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*g + 1. Let x be 1*-2 - -2*3. Solve -p + 9 = -x*k, -2*k + g*k = -5*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10978 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 + x + 136. Calculate r(-12).\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 0*u - 12 = -4*l, -5*u + 5*l + 40 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 61.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17 + 10)*(-2)\/((-28)\/(-66)). What is the highest common factor of p and 32835?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -9. Suppose s*q = 3*f + 4*q - 20, q = 3*f - 22. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 + 378. What is the highest common divisor of 36 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p**2 + 5*p - 4. Let b(v) = 8*v**2 + 5*v - 5. Let n(h) = -4*b(h) + 5*s(h). Is 35 a factor of n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18130*w**2*y - w*y - 13964*y wrt w.\nAnswer: -36260*w*y - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (838\/(-2095))\/((-3)\/60*1*(-4)\/16).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**2 + 7*s**2 + 0*s - s - 3*s wrt s?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 4:51 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/3 - 158\/60*9580\/2874.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2835148 to the nearest integer?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-77.\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-10)*(-8)\/(-78). Let s = 1\/78 + p. Do s and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*u - 3 = 0. Let n = u + 5. Suppose 3*d - 4 = n. Solve d*h + w = -20, 0 = 5*h + 2*w + 3*w + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 31, 55, 75, 85, 79, 51, -5?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/4612691 + 3353423837\/5811990660. Let m = x - 1\/180. Let p = -5 - -5.1. What is the biggest value in m, 2\/5, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-30)\/25)\/(14\/(-10)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2690153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 21. Suppose -76 + r = 4*m. Calculate the common denominator of 67\/6 and -3*(-37)\/198 - (-6)\/m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -4. Let i = c - 25. Is -30\/7 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**2 - 7*s - 32. Let v(x) = -x**2 + x - 8. Give i(b) + 2*v(b).\nAnswer: 7*b**2 - 5*b - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-5 - (37 - -13)) + 3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 4 - 4 + 4*q - q - q + (6 - 4 + 0)*(1 - 2*q - 1) - 82 + 286 - 36*q + 38*q)*(-3*q - 16 + q + 23) in the form y + r*q + g*q**2 and give r.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11093 and -5.\nAnswer: -0.55465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 67*u - 46. Let k be z(1). Solve 4*b - 21 = k*f - 24*f, 24 = 3*f + 5*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 38. Solve d = -2*s + 6*s + 3*m + 23, 1 = 2*s - m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 2*k**2 - 2*k - 3. Suppose -5*w - 15 = -5. Let p be x(w). Let z(c) = 26*c - 52. Let j be z(2). Solve f = -j*f - p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104879 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from -5118.534669.\nAnswer: -5089.534669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - ((14 - 5) + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 2\/7, -24\/49, 170 in decreasing order.\nAnswer: 170, 2\/7, 1\/9, -24\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*n - 497*n = -362. Let o = -1 - -15. Calculate the remainder when n is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3219 divided by 7?\nAnswer: -3219\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*o = -159*o + 22. Solve -o*t + 7*t + 23 = c, -4*c = 5*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 34. Suppose w - 19 = -4*n. Calculate the least common multiple of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/82 + -757\/15170. What is the common denominator of -53\/2 and f?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. What is the smallest common multiple of 11 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -30*m + 254 + 326 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13690\/19 + 2\/19*h**3 + 1998\/19*h + 138\/19*h**2.\nAnswer: 2*(h - 5)*(h + 37)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1054358395 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 19 + 30 + 39)*((6 + 19 + 13)*(-x + 2*x + x) - 1 + 1 + 2*x).\nAnswer: 11388*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127141387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - 0?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmn. What is prob of picking 1 m and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 + 7*v**2 - 10*v - 8. Let y be l(-6). Let f = y - -139. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*s - 339 = -237*s + 83*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -29543 less than -29541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 - h + 1. Let y(i) = 10*i**4 - 10*i**3 + 10*i**2 + 10*i - 14. Let p(k) = -10*q(k) - y(k). Differentiate p(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1183, -1891, -2609, -3343, -4099, -4883?\n\"Answer: -m**3 + m**2 - 704*m - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17814504 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6632210.\nAnswer: 2, 5, 13, 17, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-2 - -2 - 2). Let o(i) = -i**2 + 8*i - 8. Let y be o(6). Sort 3, y, v in ascending order.\nAnswer: v, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v - 49*v + 120. Let j(u) be the second derivative of -1\/21*u**3 + 0*u**v - 7*u + 1\/70*u**5 + 0 + 0*u**4. Find l, given that j(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410706*o = -410623*o - 996 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 6*p**2 + 4. Let b be a(6). Let n(c) = -2*c + 3. Give n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-3)\/2)\/((-126)\/36))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 972974427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46016, -45994, -45982, -45986, -46012, -46066, -46154, -46282?\nAnswer: -46456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9040112 or 9040117?\nAnswer: 9040112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4477 - 0.0477. Let w = -8 + 9.6. Let k = w + g. Which is the second biggest value? (a) k (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 80 + 12*h + 87.\nAnswer: 12*h - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 63, 2, 7, 5 in descending order.\nAnswer: 63, 7, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 35 = -3*l, -5*f + f - 5*l = -59. Let g = f + -16. Suppose -24 = -5*z + u, g = -0*z + z + 3*u - 8. Solve -z*c + 0 = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4535544?\nAnswer: 2, 3, 13, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 160014536969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(1216)))**2 + 4 + (sqrt(171)*3)**2.\nAnswer: -1152*sqrt(19) + 45463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 3*d**2 - 3*d**2 - 637*d**3.\nAnswer: -637*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x**2 - 22*x + 26. Determine r(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = 5*z - 6, 2*z - 9 = d. Let r(q) = 4*q - 1. Let g be r(4). Let p be (-3)\/g - 6\/(-5). Solve -3*x - p = 5*u, 2*u - 5 = z*u - x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6.2. Let r = o + 0.76. Let h = r + 0.04. Which is the third smallest value? (a) h (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:52 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14939?\nAnswer: 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8727\/8 or 1090?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -14. Suppose 16*c - c - 30 = 0. Suppose 14 = 2*g + c*w, 4*w = -0*g - 3*g + 26. Solve -g*o - 1 = 3*o - k, -q*o - k = -1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -0.4, 0.5, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5)*-1 + (sqrt(20) - (sqrt(20) - (sqrt(20)*-2 + sqrt(20) - sqrt(20)))) + -1.\nAnswer: -5*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.4 (b) -0.2 (c) 0.4 (d) -1\/3 (e) -4 (f) 921 (g) -8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = y + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 51, 0 in decreasing order.\nAnswer: 51, 0, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -13 (b) 0.2 (c) -3 (d) -90 (e) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h - 12 + 21 - 7 + 7*h to the form x*h + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 105*c - 9. Let i(d) = -10*d**2 - 540*d + 47. Calculate 11*a(z) + 2*i(z).\nAnswer: 2*z**2 + 75*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -78065243 less than 0.0072?\nAnswer: 78065243.0072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 27, -3\/8, 0 in descending order.\nAnswer: 46, 27, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r**2 + 2*r)*(4 - 3 - 2)*(6 - 2 - 3)*(2*r**2 - 3*r**2 + 0*r**2).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 0, -5*i + 4*l = 127 + 153. Let u = -47 - i. Suppose u*b + 12 = 13*b. Solve -2*j = -b*j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 28. Let i = o - 7. What is the biggest value in -1\/5, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -62. What is the second biggest value in -3, 0.08, c, -0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-850)\/(-24))\/85)\/(((-220)\/8)\/11)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 144861328, 0 in ascending order.\nAnswer: 0, 5, 144861328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((10\/6)\/(-5))\/((-16)\/576). Suppose 143*w = 137*w + d. What is the remainder when 6 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356*d**4 - 2473*d**3 - 6*d**2 + 10862726*d wrt d?\nAnswer: 4272*d**2 - 14838*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -117, 1, 298, -5 in descending order.\nAnswer: 298, 1, -4, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let q(d) be the second derivative of d**4 - d**3\/6 - 7*d. Determine q(s(w)).\nAnswer: 12*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2227 + 2225. What is the nearest to 0.1 in v, 2, -1\/571?\nAnswer: -1\/571","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 7, c: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - r - r**3 + (3*r - 2*r + r)*(-r**2 - r**2 + 3*r**2) + (-42 + 25 + 12*r**2 + 16)*(-r - 2*r + r).\nAnswer: -23*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -92.804\nAnswer: 556.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622700 is divided by 38838.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -6, 2\/59, -0.161, -2, 3 in ascending order.\nAnswer: -6, -4, -2, -0.161, 2\/59, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 294 - 190. Suppose -97 = -2*i - 5*s, 0*i + 51 = i + 3*s. What is the smallest common multiple of i and o?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 780 + -776. Suppose -d*l = 1395374 - 567374. What is l rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b2 (base 13) to base 10\nAnswer: -821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.1 (c) -2 (d) 3 (e) -2\/3 (f) 4754\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2618 - 5*g + 2618 + 6*g + 13*g**2 + g**3.\nAnswer: g**3 + 13*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62*8.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 8. Let c be u(10). Suppose 12 + 2 = m + 2*x, -7 = -c*m + 3*x. Let q(l) = l**2 - 14*l - 17. What is the remainder when q(16) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 680810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -54. Solve 5*h = k - 27 - 0, b*h - 3*k + 31 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*i - 30. Let y be 15 - 1*(-14)\/(-84)*89. Factor y*g**i + 0 - 1\/2*g**2 + 1\/3*g**3 + 0*g.\nAnswer: g**2*(g - 1)*(g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(1\/3). Suppose 5*i + 4 + 4 = -k, -p*k + 3*i + 10 = 0. Let c be 2 + (-1 - -3) - 0. Solve k + 10 = c*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmg when three letters picked without replacement from {w: 6, c: 4, p: 1, g: 8, m: 1}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*l + 43 = -3*l, 4*l = -3*m + 16. Suppose -9*h + m = -141. Solve 0 = -h*s + 14*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17239586 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (51\/(-55) - 0). Let l be 1\/(-2)*((-92)\/690 + (-2)\/(-15)). Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -15. Solve 3*h = 4*a + 4, h = 3*a + 4*h + j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470505 and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3393\/72 - ((-81)\/(-108)*2)\/12.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.092, -3, -2\/61, 13, 0.4?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.919 + -4.919. Which is the closest to 5? (a) 3 (b) -15\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3749698 and 0.5.\nAnswer: 1.8749698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 865 or 7772\/9?\nAnswer: 865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) - (-4 + sqrt(19) + 0)**2).\nAnswer: -70 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 12:52 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 - 10010010100110010?\nAnswer: -10010010101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*g**3\/2 + 413719089*g**2\/2 + 118205436*g + 16886490.\nAnswer: 3*(g + 2814415)*(7*g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*t + 63 = 2*l, 3*l = 5*t + 47. What is the remainder when ((-465)\/10)\/((-5)\/10) is divided by -2*l\/(6\/(-3))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8509 - 32416 = 65*p - 719*p + 27105 for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*l**2 - 217363*l + 12005989 wrt l?\nAnswer: -36*l - 217363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:52 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:39 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 3*o - 3*o)*(0*o**2 - o**2 - o**2) + (4*o**2 - 4*o**2 + o**4)*(-1 + 4 - 4) - 4*o**4 + 3*o**4 + 0*o**4.\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1795*o - 5*l - 8 = -1799*o, 3*l - 10 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f - 5. Let y(o) = -o + 5. Let n(l) = -l - 1. Let x(u) = 6*n(u) + 2*y(u). Determine -5*v(m) - 6*x(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = -474. Is i a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 395250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 2\/211 (c) 13 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/7 (b) 6 (c) -11 (d) -9 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7062463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112264?\nAnswer: 2, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -245, -248, -229, -170, -53, 140, 427, 826?\n\"Answer: 3*x**3 - 7*x**2 - 3*x - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 281, 3, -389?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - -27. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 13. Calculate the remainder when g is divided by (1\/2)\/((-4)\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + (sqrt(833) + 4)*1.\nAnswer: 4 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319213207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.81 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 14 = -l. Let x = -9613 - -9672. What is the remainder when x is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + f**2 + 6. Let x be t(0). Solve 0 = 4*v - v - l + x, -4*v + l = 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 557824, 557973, 558122, 558271?\n\"Answer: 149*w + 557675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881422177 to the power of 1\/2, to the nearest integer?\nAnswer: 43375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 791000 rounded to the nearest 10000?\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01245 + 112.98755. Which is the smallest value? (a) x (b) 0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29128 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255897 by 9.\nAnswer: 28433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 2, y: 7, r: 4, j: 4}. Give prob of sequence uk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 2*m - 3232 + 1616 + 1660. Let b(x) be the first derivative of x**2 - 22. Determine w(b(o)).\nAnswer: 6*o + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18145882319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1109?\nAnswer: -332.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*t + 219. Let p = t - -58. Solve 5 + 9 = -2*f - 3*x, -4*f + 2*x = p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2 - -2) + 1. Suppose 4*d = b + 524, -5*d - r*b + 524 = -d. Suppose -5*s + d = -29. Solve i = -2*i + 5*c - s, 5*i = -2*c - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359935 less than or equal to 719869\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19167 - -19236. Suppose 3*v + 58 = -p, 2*v - 285 + 25 = 4*p. Let s = p + l. Solve n + s = 2*j, -n - 1 = -5*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -87301, -190581, -293851, -397105, -500337, -603541, -706711?\n\"Answer: u**3 - u**2 - 103284*u + 15983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(18)\/sqrt(96)) + -3*(sqrt(320) + sqrt(320) + -1)**2)*-6.\nAnswer: -600*sqrt(5) + 23058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927127 to the power of 1\/2, to the nearest integer?\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9720372 is divided by 2430086.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + 7 + 14 + (-11 - 12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 27 = i, 21*r - 23*r + 3*i + 3 = 0. Let j(w) = 7*w**3 - 7*w - 2. Let f = 34 - 23. Let z(k) = -4*k**3 + 4*k + 1. What is f*z(a) + r*j(a)?\nAnswer: -2*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641 a factor of 815704945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74290 divided by 74290?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, i: 5}. What is prob of sequence xx?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - 4 - (-7 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 384678*s - 29626135.\nAnswer: (s - 77)*(s + 384755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1113 - -2228. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -34*t - 1. What is m(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, 1, -0.72991?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -0*d + d. Suppose a - 362 = 5*l, 2*l + a = -39 - d. Let c = l + 103. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6995 + 7941. What is the remainder when y is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -10*n. Let t(z) = -z. Let q = -5 - 13. What is q*t(r) + 2*c(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2238 + -847. Is 107 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-6))\/(210\/22806). Which is smaller: t or 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94, 87, 80, 73, 66?\n\"Answer: -7*v + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:03 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.5811179 microseconds to weeks.\nAnswer: 0.00000000012662221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-961140)\/2075*40\/6. Is -6173\/2 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2. Let s(z) = -7*z**2 - 6*z + 9. Let l(p) = -7*p**2 - 4*p + 6. Let m(w) = 3*l(w) - 2*s(w). Give b(m(g)).\nAnswer: 196*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 3:03 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f = -473*f - 853 - 13163 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 95 - 1245 = 3*k. Suppose 3*u = 3*b + 48, 52 = 6*u - 3*u - 2*b. What is the lowest common multiple of u and k?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*-2*3\/(-9). Let l(f) = -f**2 + 4*f + 1. Let n be l(2). Let a(c) = 1 + 2 - n*c - 5 + c**v. What is a(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -2, 40, 24, -5 in ascending order.\nAnswer: -5, -4, -3, -2, 24, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9223 (base 10) in base 3?\nAnswer: 110122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/6 + 587*p**3\/6 + 545*p**2\/2 + 84*p - 2. Differentiate s(v) with respect to v.\nAnswer: 4*v + 587","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 37 = -19. Let f(v) = v**2 - 5*v + 1. Determine f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -17*p**6\/120 + 15*p**3 - 9. Let i(z) be the third derivative of s(z). Let k(d) = d. Calculate k(i(l)).\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/295 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14907007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzz. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1992\/1328)\/(3146\/1056 - (3 + 0)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17108 by -658.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 351.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 14*b**2 - 11*b**2 + 17.\nAnswer: 3*b**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070*k + 633*k + 455126 = 3420*k for k.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/77, -7\/11, -0.3?\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 7*i + 31 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 233*p**4\/2 + 25*p**2\/2 - 7*p - 731. Find the second derivative of y(s) wrt s.\nAnswer: 2796*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 199*u**3 - 3*u**2 + 6*u - 13. Let x(f) = -198*f**3 + 2*f**2 - 5*f + 11. Give 5*j(h) + 6*x(h).\nAnswer: -193*h**3 - 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 19007.\nAnswer: -1\/19007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.9047 to one decimal place.\nAnswer: 159.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 15.04 and 4.\nAnswer: 19.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72859?\nAnswer: 72859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b - 2. Let g be j(2). Let k = 1024 + -633. Let s = k + g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + 1 + -6 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 18?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(360\/75))\/(2\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 2. Let k = l + -10. Let i = 0.36 - -2.64. Which is the second biggest value? (a) k (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 12:23 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519290 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.1, 15267210?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16981.081 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -j - 3*j + 5*i, -3*i + 9 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*t - 56*t + 183*t - 2*t**3 - 6 + 6*t**2.\nAnswer: -2*(t - 3)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, d: 1, p: 9, e: 3}. What is prob of picking 1 d and 2 e?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -60\/23, -11, 94 in descending order.\nAnswer: 94, -60\/23, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k = 4*r + 61*k - 55, 19*r - 6*k - 71 = 158 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/2 - k**3\/6 - k**2\/2 - k. Let r = 15585 + -15584. Let o be b(r). Solve -2*w = -o*t + 16, 4*t = 4*w + 11 + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 2\/97, 0.05, 11\/7, -16\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**4 - t**4 - 2*t + 3*t**4 - 2 in the form u + h*t**3 + p*t**2 + g*t + a*t**4 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6252699 a multiple of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1521.6 - 2018.6. Does 2\/7 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17479*g**4 + 295*g**2 + 136793853.\nAnswer: -69916*g**3 + 590*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(((f\/(f**0*f))\/f*f)\/f)*f)\/f)**(40\/9)*(f\/(f**(-10\/3)\/f))\/f*f**(-2\/7) assuming f is positive.\nAnswer: f**(365\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 18*g**2 - g - 16. Let k be l(-18). What is the units digit of 6459\/27 - k\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 3, p: 1, k: 2, s: 1}. Give prob of sequence sl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5753, -5771, -5797, -5831, -5873, -5923?\nAnswer: -5981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 18. Let m be -3 + (15 - (i - 4)). Suppose -7*y + 9*y = m. Solve -18 = -2*w + 4*p, y*p = 2*w + 3*p - 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/v*v)**6\/(v*v\/v**(7\/6)*v*v\/(v*v**(1\/16))) assuming v is positive.\nAnswer: v**(-7\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 795 (base 10) to base 9\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 - -1e2?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*72\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = 4. Suppose t*b - 2*o - 1 = 11, 0 = o + 2. Suppose 0 = -a - 1 + b. Solve -a - 3 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from tututtppput.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13071 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*l + 3*n + 18 = -3*l, -13 = l + 3*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, d: 3, j: 3, k: 4, u: 3}. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*f**5 + 100944*f**4 - 505290*f**3 - 2186208*f**2 - 1199985*f + 952200 = 0. What is f?\nAnswer: -5\/3, 3\/7, 8, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6502 = 29*a - 19453. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 - w**5\/60 + w**4\/24 + 275*w**3\/6 - 29*w**2. Let v be a(0). Let m = -1 + v. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -297.100002161 + 297.1. What is x rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-18)\/(-6))*3\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -657*p + 144*p + 246*p + 277*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 746*g - 1361 - 15051 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, l: 1, g: 3, m: 1, b: 1}. What is prob of sequence ga?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 18*w**2 - 482*w + 438. Give z(-33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -o - 24. Suppose 4*m - n = o + 5, -2*m - n = -2. What is the second derivative of 8*j + 5*j + 5*j**2 + m*j**2 wrt j?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*p - 40, -g = -p + g - 4. Calculate the lowest common multiple of 16 + 1 + p\/2 + 9 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(26\/(-4)))\/(20\/20)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + x + 78 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 65*r - 5. Let o be l(3). Is o\/14 + (-54)\/(-126) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skskssksss. Give prob of picking 1 s and 3 k.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2485*d + 106700. What is k(-43)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033232 (base 8) to base 16.\nAnswer: 4369a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 2. Let h be s(2). Suppose -5*b + 6*b - 24 = h. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 117*a + 41*a - 330243 = 0. Is 72 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/12 + 16*w**3\/3 + 57*w**2 + 33*w. Determine s(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/9 (b) -5 (c) -1.6 (d) 0.08 (e) -1 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/4 (b) 2\/9 (c) -2767\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 3035?\nAnswer: -3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 1, q: 1, y: 1, u: 1}. What is prob of sequence uq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2 = 2*z + a, 0 = a + 2. Suppose -4*j + 32 = -y - 1, -3*j + 26 = -z*y. Factor -8*w**3 - w**5 + j*w**3 + w**4.\nAnswer: -w**4*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -b + 2450, 3*b = -20*k + 25*k - 12274. List the prime factors of k.\nAnswer: 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55600?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(-2*i**2 + 0*i**2 + 0*i**2)*(2 - 2 + 2) - i - 4*i**2 + i to the form z + l*i**2 + a*i and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l - 20. Suppose x - 2*w - 12 = -0*w, 4*w = -4*x + 12. Let f = l + x. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t + 0*t)*(-t**2 + t**2 + t**2) + 4*t**3 + 5 - 5.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -22*r - 7. Let a(c) = 45*c + 13. Let o(z) = 3*a(z) + 5*w(z). Let j be o(1). What is the highest common divisor of 87 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 383 (c) -5 (d) 6 (e) -2 (f) 2 (g) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(95) - sqrt(95))\/sqrt(5)*-1.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/24*(-5)\/100*-6\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 79151398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.28 (b) -0.4 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -117961*w - 237. Is u(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 16940063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*m - 5*m. Suppose m*n = 7*n - 12. Suppose 19 = 3*k - x, k + 18 = -3*x + 21. Calculate the smallest common multiple of n and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkwmmwmmkmm. Give prob of picking 1 k and 2 w.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 2*a - 19 - 16 + 63 + 0*a - 21.\nAnswer: -5*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0 + 16\/11*h**2 + 14\/11*h + 2\/11*h**3 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-2)\/(-12)*18\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 4. What is the second derivative of -2*h**g + 6*h + h**3 - 2*h**3 + 5*h**3 wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 41*l - 14 + 8*l - 33*l - 46. Let q be z(-32). Solve 5*f - 3 = q*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -3, 0, 7, 18, 33?\n\"Answer: 2*h**2 - 7*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -2 - 3\/((-9)\/(-33)))*1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30594 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11521414 + -5445?\nAnswer: -11531303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 7*v**2 - 8*v + 1. Let q be p(8). Let n be q\/(-1) + -5 + 13. Solve 5*a + 3 = -n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2*1\/2). Let a be (16\/v)\/(-2 + 4). Put -2\/3, a, -5 in increasing order.\nAnswer: -5, a, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6714*f**3 + 38562*f**2 - 124156*f + 215?\nAnswer: 40284*f + 77124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 5*c**2 + 9*c - 8. Let q be n(6). Let f = -7 - -11. Let k = q - f. Solve 5*o - k = 14, 5*z + 3*o = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132927 and 354?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -10. Suppose -2*s = -4 - k. Suppose -3*b + s*b = -1. Is b < -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -3, 0, 11 in descending order.\nAnswer: 11, 2, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 5. Let v(s) = s - 5. Let k(z) = -6*r(z) - 5*v(z). Let p = -132 + 132. Calculate k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -5\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 25*t + 30. Let a = t + 3. Let y(i) = i**2 + i - 15. What is the remainder when 103 is divided by y(a)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 16*w - 266, -2*t - w - 3546 + 3534 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 + -145341?\nAnswer: -145553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (17 + (-18 - -24 - 25) + -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 1 - 9. Let u(d) = -2*d + d**2 + r*d - 10 + 0*d**2 - 3. Let p be u(-6). What is the greatest common factor of 33 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 3. Let i(w) = -2*w**2 + 2*w + 8. Let d(n) = 3*i(n) + 8*v(n). Let k be d(2). Solve 0*u - k*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27366, 27351, 27338, 27327, 27318?\nAnswer: 27311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.423*-0.8.\nAnswer: -0.3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + 2.87. Let n = -6 + l. Let r = 7.7 - 8. What is the second biggest value in 5, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 17841*g = 8923*g + 8922*g - 26, 4*b + 50*g = 6 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(343) + (sqrt(343) - (3*sqrt(343) + sqrt(343))) - (-4 + -1*sqrt(343))**2.\nAnswer: -358 - 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2 + 91 - 130 + 391 + 1 + 2 + 0 + (0 + 2 + 0)*(5 - 3 + 0) - 1 + 1 - 1)*(-3 + 2 - 1)*(4*z**2 - z**2 + 0*z**2).\nAnswer: -2166*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/7 + 32*u**3\/7 + 2*u**2\/7 - 32*u\/7 = 0.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1101?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11120, 22772, 35528, 49940, 66560, 85940?\nAnswer: 108632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - (-37 - (-33 + 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172695 and 17980.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 7*p + 2. Calculate k(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 67\/(-603)*99*2\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6132 + 42415045\/6917. Let h = -325077\/152174 - u. What is the common denominator of h and 69\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 6*t - 36 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (7 + -3)) + -5 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Let y be ((-1)\/(-4))\/(20\/(-720)*3). Which is the closest to -1\/3? (a) 1\/3 (b) y (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n + 27. Let u be y(-6). Suppose 5*f - 87 = 2*d - 3*d, -f - 3*d + 23 = 0. Let p = f + -10. Solve 3*r - 2*t = -9, -u*t + 15 = 2*r - p*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1313, -1317, -1321, -1325, -1329?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -16*i**2 - 8*i - 13. Calculate x(-2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23281448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - 12) + -58 - 454\/(-28).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwzwvgawwvaavw. What is prob of sequence aww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from offfoofoofof?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4458742 litres in millilitres?\nAnswer: 445.8742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5353412 divided by 3\nAnswer: 5353412\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from gqqqgqxflggkq.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1862)\/sqrt(2))**2 + (sqrt(19) - (sqrt(209)*1)\/sqrt(11)) + 2.\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212210 - 212?\nAnswer: 1211332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183824235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d + 9 = 60*d. Let m(w) = 131*w**2 + d*w**2 - 6*w + 6*w. Let z(g) = 2*g**2. Determine z(m(f)).\nAnswer: 39200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/2*24\/68.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*p - 4*p - 84, 3*h = 2*p + 142. 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 1:55 AM and 5:06 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5188 is divided by 1296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/((-16)\/(-40))*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-10)\/75)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 262 - 70 + 113 - 573*i wrt i?\nAnswer: -573","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93098353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*t + 4*t**2 + 32*t + 0*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/28 - 45\/(-35))*-1. Sort -9, n, 3.\nAnswer: -9, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.059496 litres in millilitres?\nAnswer: 6059.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 508280000 to the nearest one million.\nAnswer: 508000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 - 2*f + 6. Let d = -478 + 483. Determine s(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.7 - 41.3. Let i = 45.5 + d. What is i rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 - 16*s**2 - 87*s + 18 = 0.\nAnswer: -3, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -212003336\nAnswer: 212003335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.055 and -2.3112?\nAnswer: 2.3662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*a = -32, -5*z - 33 = 6*a - 8*a. Let j = 0.1 - 0.6. Let l = -5.07 + 0.07. Sort j, z, l in increasing order.\nAnswer: z, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*r + 21 = 0, 14 = b + 2*r - r. Suppose 29 = m + 5*a, 5*m - 164 = 3*a + b. Let o = -13 + 22. What is the remainder when m is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.01 + -0.99. Let x(q) = q**2 - 4. Let z be x(0). Let t be (-2 + (0 - z))\/(-7). Put 0.4, -4, t, y in decreasing order.\nAnswer: 0.4, t, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 10:47 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 9*g + 14. Let c(x) = 7*x**2 - 9*x + 15. Let w(s) = -2*c(s) + 3*i(s). Let o be w(8). Solve 6*v + 10 = o*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - y + 3. Let o be p(0). Let b be -2 - (-21 - (-8)\/(-4)). Let m = 45 - b. What is the greatest common divisor of m and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = -8. Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 86 - 1178. Let o be (-4)\/21*j\/78. Put o, 4, 0.4 in descending order.\nAnswer: 4, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/921 and -71\/3555.\nAnswer: 1091385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145886219\/1428 - -1714513\/17. Let u = g - -1308. What is the common denominator of -77\/8 and u?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/1750)\/(((-5)\/6)\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 3:28 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 2 - 12*m**3 - m**2 + 1 to q*m**3 + a*m**2 + x + s*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31746)\/(-13338) - (-40)\/(-18).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11202 + 11202.10622. What is p rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2023132 - -1324?\nAnswer: -2021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 47*v - 1568 = 0. What is the lowest common multiple of v and 70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.24 + -8.3. Is f less than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.66 + -0.04. Let z = 0.5 + d. What is z rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-666) - (-289396)\/5254.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let j = 242 + -241.5. Let w = 0.232 - 0.192. What is the biggest value in j, w, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 485, 573, 705, 887, 1125, 1425, 1793?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 - 112. Let f be (-22)\/(-3) - 42\/a. Sort f, 21, -2 in decreasing order.\nAnswer: 21, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -209683*g + 1258065. What is o(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 22 - 32. Let f = 0.2 + -0.5. Which is the smallest value? (a) 0.4 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i. Let m be r(1). Suppose -2*y + 4*y + m = 0. Let o = y + 10. What is the smallest common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.2 - -4.82. Let j = -1.35 - b. Are j and 10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(-5)*d)*d*d**(-2))\/((d**(-6)\/d)\/d**(-5)) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2044*f = 1968*f + 362815 + 31777. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = 0. Suppose -5*k + 120 = -160. Suppose -4 = -54*t + k*t. Sort a, t, 1, -0.3.\nAnswer: t, -0.3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/45 - 1)\/(510480\/(-3672) - -139)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*s**3 - 155*s**2 - 730*s - 560.\nAnswer: 5*(s - 14)*(s + 1)*(3*s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*6)\/sqrt(11).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 4. Let s = 13 - 17.1. Let i = c - s. What is the second biggest value in i, -2, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by 484\nAnswer: 43\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.297641ns to hours.\nAnswer: 0.0000000000220271225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -17*o + 2*o. Which is the closest to 2? (a) o (b) 1 (c) -1\/4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - n + 173, -118 = -4*q + 2*q + 2*n. Let c(w) = -2*w - q + 61 + 4*w + w**3 - w - 3*w**2. Let v be c(3). Which is bigger: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 23*w + 4. Let h(r) = -46*r - 7. Let y(d) = -11*b(d) - 6*h(d). Let c = 17 + -14. Is y(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*z - z - 2 = 0, 4*q - 3*z - 6 = 0. Let k = 0 - q. Determine n so that -2\/5*n**2 + k + 0*n - 2\/5*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2150 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23823026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkk. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 + 5*v**3\/3 + 5*v**2\/2 + 32*v. Give a(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(18) - -2*sqrt(18)))\/(sqrt(36)\/(sqrt(18)\/sqrt(3))*-3) + 0.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -14*k - 20. Let i(b) = -b**2 + 19*b - 54. Let z be i(15). Let v(d) = -5*d - 7. Give z*j(p) - 17*v(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25077, 25060, 25033, 25002, 24973?\nAnswer: 24952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = h + 5*s - 5, -2*h - s + 8 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -104.7\nAnswer: -209.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1025, 4032, 9021, 15992, 24945, 35880, 48797?\n\"Answer: 991*b**2 + 34*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*i**3 + 545*i**2 - 1360*i + 900.\nAnswer: -5*(i - 9)*(i - 2)*(9*i - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 17*p + 39. Determine g(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 3. Calculate k(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1026*z + 1476.\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17240 + -3352?\nAnswer: 13888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*h*m**3 + 3*c*h*m**2 + 2*c*h*m + 2*c - 14*h*m**5 + 2*h + 7*m wrt m.\nAnswer: 12*c*h*m + 6*c*h - 280*h*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-12120)\/(-21016)) + -5. Let w = -1\/505 + f. What is the fourth smallest value in -0.3, 1\/25, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 1\/2*b**4 - 51 - 94*b**2 - b - 5\/6*b**3. Differentiate n(o) with respect to o.\nAnswer: 12*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 955 - 954. Sort 401, k, 4 in descending order.\nAnswer: 401, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 148*g - 150. Let o be b(12). Let a be (-12)\/(-45)*(-15)\/o. Do a and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.9521 times 0.2\nAnswer: 1.99042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + sqrt(11) + -2)**2 + -5 + (1 + sqrt(539) - sqrt(11))*6.\nAnswer: 46 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + l + 0*l = -700, -2*j + 267 = -3*l. Suppose -j = -8*m + 259. Calculate the remainder when 198 is divided by m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5916 + -3142. Let w = l - 93. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2\/11 - 12\/11*w**2 + 10\/11*w = 0.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 10*c = 2. Let i be (-2)\/7 + 88\/14. Suppose -b = -i - c. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-105)\/(-10)*136\/12 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*v - 4. Let h be (-78)\/28 - v\/7. Which is greater: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Suppose 11 = -c + s. Let j(f) = f + 2. Let p be j(c). Put 4, 1, p in decreasing order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/250*1810\/724?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 11*t**2 - 11*t + 2. Let f be z(-10). Suppose -16*q + f*q - 56 = 0. Round q to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 + -123. Let c(d) be the third derivative of 0*d**4 + 1\/60*d**6 - 4*d**y + 0 + 1\/30*d**5 + 0*d + 0*d**3. Let l(q) = -q**2. Calculate c(w) + 2*l(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716.8873 milligrams to grams.\nAnswer: 0.7168873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -136, -137, -138, -139?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, 5\/3, 29, 1\/7, 6, -42, 1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/(-44) + 49\/28. Let v(d) be the second derivative of 0 + 1\/4*d**5 - 2\/3*d**3 + 1\/30*d**6 + x*d**4 - 4*d**2 + 28*d. Factor v(q).\nAnswer: (q - 1)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1\/(-45)*50\/4600*46.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/10 + 3860\/10800 and -101\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -5127 - 483. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 21, 43, 63, 81?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4.61 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b + 4*b - 2*b)*(4 - 3 - 3) + (3 + 2*b - 3)*(-8 - 8 + 1))*(2*b - 5*b**2 - 2*b).\nAnswer: 170*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351.6 + 350.62. Let y = -10.9 - -12.08. Let d = i + y. Which is the closest to -0.2? (a) 0.06 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*z + 3, 5*z - z = 4*w - 20. Let y(n) = -3 + 5*n + w. Let r(b) = b**2. Calculate r(y(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13144441321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 15 = 4*x - 5*h, 2*x + 5*h = 15. Let u be (-122)\/(-12) - (-4)\/8. Let a = -602\/57 + u. Is a bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*m = 8*i - 51, -4*m + 44 = 4*i. Let s be (i\/(-5))\/(6\/(-20)). Solve 0 = 5*r + l - 0 + 2, 5*r - 3*l - s = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/25*100\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6 + 1 - 4 + 9*v + 208*v**2 - 210*v**2. Suppose -2*b - 3*q + 4 = -3, -2*b + 3*q + 1 = 0. Let o(x) = -x**2 + 4*x - 4. Determine b*p(r) - 5*o(r).\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8.23894 times -3.69\nAnswer: 30.4016886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 186867, 186947, 187027, 187107, 187187?\n\"Answer: 80*t + 186787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/((-4350)\/(-40))*(-4 + 4 + -3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:54 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 800964.4 micrometers?\nAnswer: 800.9644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1608, 1610, 1614, 1620, 1628?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Let r(q) be the second derivative of q**6\/360 - q**3\/3 - q. Let i(t) be the second derivative of r(t). Calculate i(g(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = -2*x. Sort 5, x, -7 in decreasing order.\nAnswer: 5, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + v + 2. Let q be m(0). Let g(u) = q + 2 + 1 - 6*u**2 - 4. Suppose 5 = 3*x + 2. Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*sqrt(1539)*1 + 2*sqrt(1539)*3)*5*1)**2.\nAnswer: 1385100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0435 + -87.9565. Let d = 77 + x. Which is the biggest value? (a) d (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*w - 2*w**2 + 386*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101001101101010000?\nAnswer: 101001101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*t - 5*f, -4*f + 32 = 3*t - 0*f. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893013 is divided by 178462.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.60881 nanometers to millimeters.\nAnswer: 0.00003260881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150132*j + 26*j**2 + 126*j**2 - 13 - 150132*j + 13.\nAnswer: 152*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 4, j: 1}. Give prob of sequence jx.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) 6 (c) -0.2 (d) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = -6. Let x(h) = -19*h - 4. Let a(d) = 1. Let v(m) = 3*a(m) + x(m). What is the remainder when v(-1) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 3*o**2 - 6*o**2)*(-99 - 62 - 157).\nAnswer: 636*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*l + 33. Solve -3*p + 2 - 17 = 0, l*r - 50 = 5*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.135772542 rounded to four dps?\nAnswer: -0.1358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6268244 millennia?\nAnswer: 626.8244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506403 is divided by 8100?\nAnswer: 7903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 2:27 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5.5887 * 0.1\nAnswer: 0.55887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.47877 hours in days?\nAnswer: 3.01994875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - j - 2)*(-31*j + 17*j + 17*j - 4).\nAnswer: -3*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-11\/4)*p*p\/(p**(1\/2)*p*p) assuming p is positive.\nAnswer: p**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/12284 and -37\/1826?\nAnswer: 135124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 68 + 289)*(-1 + 1 - h) + 1 - 1 - 3*h.\nAnswer: -320*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 118298811 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Let l(x) = -x**3 - 10*x**2 + x + 13. Let h be l(-10). Suppose h*c = -c + 16. Solve 0 = c*o + m + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*j - 15892 = -540*j - 35078 - 17162 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from pyyhphwr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1000110001001010110?\nAnswer: 1000110001001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1029.4 + -1029. Sort 152, j, -4\/3, 3.\nAnswer: -4\/3, j, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 39*m. Let a(f) = 2*f + 23546*f**2 - 11883*f**2 - 11888*f**2 - 2*f. Determine a(q(k)).\nAnswer: -342225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*d, w = -3*w - 4*d + 1360. Let l = 594 - w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Let p be (f - 2)\/(2\/14). Let i be 7 - 0\/(-2*1). Calculate the highest common divisor of p and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1081 = 3*c + 2*i, -1101 = -3*c - 3*i. Let z = -2741 + 2774. Calculate the greatest common factor of z and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/8 + -359\/24. Let z = -304\/21 - r. What is the closest to 0 in -4, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s + 23*s - 38 = 30. Sort 6, -4, -15, -1, s.\nAnswer: -15, -4, s, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 0*i - 5*i = -9*u - 5*u - 55, 0 = -2*i + 8 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 2\/7, 1\/4 in increasing order.\nAnswer: -6, -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 288*j**2 - 4*j + 3. Let q be u(1). Suppose 6*a - 67 = q. Find the common denominator of -2*a\/68 + (-2 - -2) and -13\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:26 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180261017 is divided by 207?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 37, 4, -0.2, -5, 2 in increasing order.\nAnswer: -5, -1, -0.2, 2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:03 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-1)\/(-14*(-42)\/(-28)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 640 + -613. Which is the second biggest value? (a) -13 (b) 0.05 (c) f (d) -2\/15 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v)*(4 - 5 - 1) - 3*v + 6*v - 2*v + 7 - 3*v - 7.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*b - 2*f - 18, 4*f = -b - 12. Sort 0, 2, -5, b.\nAnswer: -5, b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1376*d + 15105. Give w(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 17*z. Let v(u) = -4*u. Let m(j) = -113*j + 225*j - 110*j. Let c(d) = 5*m(d) + 2*v(d). Give -51*c(r) - 6*y(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 32484439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 30, 105, 242, 459, 774, 1205?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) - (135\/30)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592*m + 2036*m + 2032*m.\nAnswer: 4660*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 2*g = -321 + 409 + 462 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/73808 and 15\/14.\nAnswer: 73808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129613115*p**2*r**3 - 94*p**2*r**2 - 5*p**2 + 101*p*r**2 - 5*r**2 wrt r.\nAnswer: 777678690*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 2*f - 24, 5*m - 4*f + 34 - 1 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - t - 2. Let c be o(2). Suppose -38 = -c*i - 6. Solve 4*u - 8 = i*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4204 or 4205?\nAnswer: 4205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(605) + 0)**2 + -5 - ((-2 + sqrt(605) + sqrt(605))*1 + sqrt(605))**2).\nAnswer: -4851 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2. Let t be 1\/(-7) - 6\/(-42). Let v(b) = t*b + 4*b - 5*b + 2*b. Give q(v(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**3*u**2 - 3*a**3*u + 2216696*a**2*u**2 - 2*a*u**2 - 2*a*u - 2445700*u wrt u?\nAnswer: 16*a**3 + 4433392*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -5778\nAnswer: 577.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, p: 1, s: 4, k: 5}. What is prob of sequence ksss?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 12 + t**3 + 12 + t**2 to x*t**2 + p*t + k + c*t**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/8)*x)**4\/(x**(-6)\/x**(-5\/8)) assuming x is positive.\nAnswer: x**(111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/999108 and -155\/202884.\nAnswer: 52952724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306539?\nAnswer: 317, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**2)**(-24)*f*f**(1\/8)*(f\/f**(-4))\/f)**(-28))**(8\/3) assuming f is positive.\nAnswer: f**(14980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/90 - b**3\/9 - 2*b**2\/5 - 31*b + 18. Factor i(a).\nAnswer: 2*(a - 6)*(a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**2 + 10 + 3*x**3 + 4*x + x**2 - 2*x**3 - 2*x**2. Let o be w(8). Let l = -18 - o. Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 1110?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187 - 121933*d + 121934*d + 473)*(5*d**4 - 5*d**4 - 4*d**4).\nAnswer: -4*d**5 - 1144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/803994 and -45\/742?\nAnswer: 298281774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/88 + 68\/(-11). Let u(g) = g**2 - 13*g + 22. Let y be u(10). Let q = a - y. Solve q*l - 5*p = -0*p - 15, -5*l - 27 = -2*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8 and -75\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100100011100 (base 2) to base 12.\nAnswer: a9b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236a7 (base 12) to base 16\nAnswer: ba1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(4 - (-85)\/(-10)). Let v be ((-2)\/l)\/((-2)\/(-1)). What is the smallest value in 0, v, -2\/9, -2\/17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 1, a: 3, g: 1}. What is prob of picking 1 d and 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 2*s - 2. Let b(u) = -u**2 + 1275 + u - 639 - 635. Let m(o) = -2*b(o) - f(o). Let t(h) = h - 10. Determine t(m(q)).\nAnswer: q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1607, -1616, -1625, -1634?\nAnswer: -1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*t + 1 = s, 3*s + 5*t - 4 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*y - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 18.5554ml?\nAnswer: 0.0185554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s**3 - s**2 + 3*s - 1. Suppose -d - 10 = b, -4*b + 0*b + 58 = -3*d. Let w = d + 15. Let v be n(w). Solve 6 + v = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(153)*-2)\/sqrt(9) - (sqrt(34)\/sqrt(2) + 5) - sqrt(119)\/((sqrt(140)\/sqrt(4))\/sqrt(5))) + -3.\nAnswer: -4*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30\/204277, 9, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.7 + 114.7. Let u = 88.0489 - a. Round u to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from kjezako.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*c - 5, -11*c + 15*c - 11 = n. Let a(u) = -6*u**2 - 3*u + 4. Determine a(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/4))**30 assuming k is positive.\nAnswer: k**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/20 - 21*u**3\/5 + 128*u + 167. Let x(d) be the first derivative of w(d). Determine a, given that x(a) = 0.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*-2*(-1)\/(-8) + (-35235486)\/(-936)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e05 - 5?\nAnswer: e00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*d + 330 = -75*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) 5 (c) 0 (d) 2\/13 (e) 2568342\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 42 - 18. Let x = -5 - u. Suppose 0 = -x*r + 14 - 2. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 33*p**2 + 31*p + 116. Suppose 0 = 11*l + 145 - 519. What is the remainder when 31 is divided by q(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -70. Suppose 11 = 4*t + i. What is the fourth biggest value in t, -3\/7, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3552.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141*z + 741 = 1180*z. Suppose -5*t + 456 = 136. What is the remainder when t is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.1107 + 0.1793. Let s = 79.17 - v. Let a = s + -66. Round a to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/120 - a**5\/10 + a**4\/4 - 2*a**3\/3 - 20*a**2 + 3. Give f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.59 - -1.11. Let x = 7.7 - q. Let o = -6.0000092 + x. What is o rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 5*z - 4. Let k be t(3). Suppose 7*w = 3*w - k. Let h = 4 - w. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 12*j**2 - 26*j + 20. Let r = 382 - 396. What is t(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*t = 39, 2*b + 5*t - 4 - 5 = 0. What is the highest common factor of b and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/(13 - 4400\/336)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 5. Let z be r(0). Suppose 2*w - 15 = -5*n + 7*w, 0 = n + z*w - 21. Let t be 1 + 1*2 + -1. Solve -5*s + 11 = -2*c, 2*s = t*c + n*s + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 15. Suppose -5*q + c + 4 = 0. Calculate the remainder when 19 is divided by 11\/q - 1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + -1)*(-2)\/6. Let y = z + -2. Suppose 0 = -4*h - y*d - 3*d + 14, -2 = -d. Solve -h*k + 25 = 2*c + 3*k, -3*k = -5*c + 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 7. Which is the closest to -1? (a) 0.03 (b) h (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3752?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*w + 4, -w + 0 = 2*r - 2. Let c(b) be the second derivative of -3*b + 0 - 1\/2*b**2 - 1\/20*b**5 + 1\/6*b**3 + 0*b**4. Determine c(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 7 + (69\/1 - 10). Suppose 3*n = 5*n - 52. What is the highest common divisor of n and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6332578 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 38*k**4 - 95*k**4 - 2*k + 55*k**4 + 0*k - 137 to the form r*k**3 + s*k**2 + g*k + q + h*k**4 and give q.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5730299 by 152.\nAnswer: 5730299\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -239024910 to the nearest 1000000.\nAnswer: -239000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.973 and 0.2.\nAnswer: 6.5946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001212222020 (base 3) in base 8?\nAnswer: 30360162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83*c**4 - 93899*c**3 + 86116994 with respect to c.\nAnswer: -332*c**3 - 281697*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Let p = 0 + x. Let w = 1.1 + 3.9. Which is the biggest value? (a) 0.4 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*r - 169, -2*r + 4*r - 298 = -4*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) -11\/3 (b) 4 (c) 2\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 5*q**2 - q - 3. Let k be a(-5). Let w(y) = 3*y**k + y - 4*y + 2*y - 1. Let l = -3712 + 3711. Give w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 81*g**2 + 45*g - 111. Calculate n(41).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-477)\/795*(-3 + 1)*(-15)\/7?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {y: 4, o: 1, r: 2, n: 1, d: 3, e: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12 + 15)*(-32)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 3*o**2 + 3*o - 3. Let r be 2\/8 - 276\/(-48). Let m(p) = -p + 7. Let u be m(r). Let w be 4 + (-5)\/(4 + u). Give t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 16) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52476 = -24*g - 12*g + 51900 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231*h*n*s + 3*h*s**2 - 13*h + n*s**2 - 3430*n + 2*s**2 wrt h?\nAnswer: -231*n*s + 3*s**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**3 - 3*n**2 + 2. Give j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1000 - -282?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1486\/18385 or -1?\nAnswer: 1486\/18385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77812085*j**2 - 72908488*j wrt j.\nAnswer: -155624170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4698 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 7*f - 5. Let v be j(-7). Let a be 1 + (-15197)\/v + -1. Let w = 3029 - a. What is the common denominator of -149\/6 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = -4*n, 0*n + 3*n - 6 = 0. Sort -3, q, 1 in descending order.\nAnswer: 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6300 and 62108550.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*((-16)\/616)\/((-34)\/374)*-357\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 317471\/37 or 2?\nAnswer: 317471\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 9) to base 3\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1900) - 5*1*sqrt(1900)) + -1*sqrt(1900)*1))**2.\nAnswer: 1187500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {u: 2, g: 2, v: 3, i: 8}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 30 = 5*u, 2*w - 8*u = -3*u - 10. Let x(c) = 2*c**2 - 26*c - 3. Let r(t) = -t**2 + 17*t + 2. Let z(f) = w*x(f) + 8*r(f). Calculate z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -16, 946, 4, 0.4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5688795.\nAnswer: 2\/5688795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-33)*90\/25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**3 + 3. Suppose 3*l = -4*w + l + 4, 3*w = 2*l + 10. Let p(y) be the first derivative of y**4\/4 - y + 407. What is w*i(o) + 6*p(o)?\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -206*q**2 - 347*q**3 - 205*q**2 + 684*q**3 - 339*q**3 + 1074 with respect to q.\nAnswer: -6*q**2 - 822*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2883 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 + 5910738*h**2 - 2911390153875*h - 11645655187500 = 0. What is h?\nAnswer: -4, 985125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -186, -129, -36, 99?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -7) + (-5 - 2 - -15) + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-77))\/(92538\/4770 - 19\/1)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*y + 93*y - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 6)\/(-3) - 27. Let i = -27 - p. Let z = 368 - 12513\/34. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26010 and 234396.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -t. Let x be 36 + -5 + t + -1. Let s be (-3 - -2 - -232)*1. Calculate the greatest common divisor of s and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3619)\/1680 + (-3 - (-141)\/45*1) - -2\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 213. Differentiate 113 + 0*o**4 - 30*o**4 - y*o**4 with respect to o.\nAnswer: -388*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmxijxixxiijxijjj. Give prob of sequence mxj.\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 607 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w - 72. Let v = -68 - w. Solve 11 + 9 = -v*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51274571 is divided by 12818639.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)*f)\/(f*f\/(f**(2\/17)*f)*f)*f**(3\/5)*f*f*f\/f**(-2\/5)*f*((f*f**(1\/3))\/(f\/((f*(f\/f**(8\/5))\/f)\/f)))\/(f\/f**(1\/3))**(1\/27) assuming f is positive.\nAnswer: f**(22213\/6885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 9:50 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 4\/11, -29\/5 in descending order.\nAnswer: 4\/11, -2\/21, -29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*w - 8, 3*a - w = 3*w + 2. Let l = -1 - a. Put l, 3, 4 in descending order.\nAnswer: 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11642011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 12:21 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*c - 5, 2*l + c - 17 = -l. Let k be (-1)\/(-2)*(15 - 9). What is the remainder when (-70)\/(-12) + k\/18 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 97531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 2753.\nAnswer: -2753.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521194 is divided by 104237.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1240 = -2*w. Suppose -1199 = 4*x - 3*h, 38*x = 42*x + 5*h + 1319. Is w smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = 4*k - 4*w, -2*k + 3*w = 3*k - 2046. Let a = 109 + k. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -38353 and -0.005 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133078865, -266157715, -399236563, -532315409, -665394253, -798473095?\nAnswer: -931551935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11783 times -0.05\nAnswer: 589.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16210 + 3?\nAnswer: -16207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 41*v**2\/2 - 15*v - 65. Differentiate z(d) wrt d.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-41)\/615*20\/(-1). Let x(a) be the first derivative of -4*a + t*a**3 - a**2 - 2 + 1\/2*a**4. Factor x(l).\nAnswer: 2*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*1\/1. Calculate the common denominator of -519*2\/264 - y\/(-4) and 34\/20 - (-2 + 5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1011, 3779, 8351, 14727, 22907?\n\"Answer: 902*l**2 + 62*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.24 + -27. Let r = n + -5. Let a = r - -0.4. Round a to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.732g in kilograms?\nAnswer: 0.074732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 406 + 49*k**3 + 7*k - 209 + 7*k**2 - 204. Let d(h) = 24*h**3 + 3*h**2 + 3*h - 3. Determine -7*d(o) + 3*r(o).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-363)\/(-51) + (24\/(-544))\/(3\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -83, -387, -897, -1613?\n\"Answer: -103*r**2 + 5*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 545682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d + 25. Suppose 2*i + 105 = d*i. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-12) + 1 + -1 + 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - (-3 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6)*t*t**(-2\/17) assuming t is positive.\nAnswer: t**(-87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 26 + 4. Suppose -63 = -i*y - 3*f, -7*y + 10*y - 3*f - 93 = 0. Calculate the highest common factor of 182 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*i - 224. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 3*g + 16, -3*x - 36 = g - 28 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x, 2*i - 2*x - 464 = -160. What is the least common multiple of i and 38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 18*n**2 + 6*n - 2. Let t(k) = k + 1. Let u(a) = i(a) - t(a). Let s be u(-3). Calculate the highest common divisor of 18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4052 - -3954 - (-72612)\/741?\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -4. Let q be 1 - (-3 + (-34)\/(-9)). Which is the biggest value? (a) v (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 710 and 3976?\nAnswer: 19880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3426545, 3426542, 3426539, 3426536, 3426533, 3426530?\nAnswer: 3426527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 - -3 - (-4 + 15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqqbqqqbqbqbqqqbqq. Give prob of sequence qqq.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 0.07158, -0.5, -2, -5, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 0.3, 2\/21, -3795, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 26*l**2 - 27*l**2 - 4*l + 2 + 46. What is the units digit of n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18029 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12012 + 0?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3001 (base 11) to base 12\nAnswer: -238a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3156.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 33.1. Which is the nearest to f? (a) -2 (b) 2\/7 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -732.2 rounded to the nearest 10?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -14. Let v be 114\/42 - (-3 - i). What is the closest to v in 5, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808961508?\nAnswer: 2, 3, 59, 380867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -49. Which is bigger: -0.01 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, j: 6}. Give prob of picking 4 p.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1422212.7 * -1.7\nAnswer: -2417761.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**2)**(-11))**(-23) assuming j is positive.\nAnswer: j**(-253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 17 = 6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.28 - -3.23. Which is the third smallest value? (a) 0 (b) 2\/9 (c) -0.4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*o + 4077 - 6828 - 14565 for o.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*q - 8, 5*y + 20 = 2*q + 24 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502923 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 2:33 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 2. Let a(m) = 13*m - 9. Suppose -157 = -5*s + 53. Suppose -4*j + s = -7*j - 5*c, -5*c = -j + 6. Give j*i(r) + 2*a(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 320 or 317?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 - 3*x - 5. Let k(w) = -5*w**2 - 2*w - 4. What is 2*d(v) - 3*k(v)?\nAnswer: 7*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d + 23175138. Let f(z) = -2*z. Give y(f(u)).\nAnswer: -30*u + 23175138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 5)\/(2\/(-2)). Let n = 0 + 3. Put n, -3, s in descending order.\nAnswer: n, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 5*r - 1. Suppose 0*g - 2 = 2*g - 2*v, 5*v = -4*g + 41. List the prime factors of b(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -9, -32, -77, -150?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.51? (a) -0.2 (b) 0.084 (c) 0.1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*d = 2671*d - 80902 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45608200 and -0.5?\nAnswer: 45608200.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -114513?\nAnswer: -114513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 5 - 23 - -5) + 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 920*n**2 + n. Let h(u) = -5*u. What is h(p(b))?\nAnswer: -4600*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 2, 1, -3, 5, 1155 in decreasing order.\nAnswer: 1155, 5, 2, 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 6*a**2 - 2*a**2)*(-20*a - 212 + 214 - 2*a)*(-1 + 0 - 1).\nAnswer: 132*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115825, 231611, 347397, 463183, 578969, 694755?\n\"Answer: 115786*j + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 13*m**4\/6 + 3*m**3\/2 + 5*m**2 + 225*m + 14. Let k(q) = -17*q**2 - 6*q - 7. Give 5*d(y) + 7*k(y).\nAnswer: 11*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67.863 - -41.863. Let t = 2 + -7. What is the closest to y in 5, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 23 (b) 0.24 (c) 3\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/17 - 88190*y**2\/17 - 2468144*y\/17 - 17274264\/17.\nAnswer: -2*(y + 14)**2*(y + 44067)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g**2. Suppose -3 - 1 = -t. Suppose -2*o = 3*u - 16, o = -t*u - u + 22. Let y(b) = 370*b**2 - 1 - 372*b**o + 1. What is y(l(x))?\nAnswer: -162*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 588301939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 1 + 18*x - 3 + 1.\nAnswer: 19*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97856543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i + 177 = 0. Let d be -1 + (1 - 0)\/1. Suppose -5*b + i - 52 = d. Solve -5*f + 0*f = -b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/34 + 426\/4. Let m = 100 + -7. Let i = b - m. What is the remainder when 69 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05374 to three dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270.271 years in months?\nAnswer: 39243.252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -8. Suppose -5*k + 10*k - 10 = -3*p, p = 4*k + 9. Let x(m) = -m**3 - 2*m**2 + 1. Let h be x(k). Solve -b*i = -2*n - 3 + 1, h = -i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 - 9*t - 13. What is the units digit of b(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*r + 4*i, 0 = 3*r - 4*i - 22 + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -0.057211839.\nAnswer: -6.942788161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 3:18 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 = -5*v. What is the closest to 3\/2 in 2\/11, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -207483196 = -207483197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*z, -5*z - 2*w = -0*w. Suppose o - 8 = -o. Suppose 3*a = -0*c + 2*c - o, -a = -c + 3. Solve -x - 5*q - 25 = z, -10 = 3*x + a*x + 2*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -597 + s**2 + 597 + 6*s**2. Let b(p) = 3*p**2. Calculate n(b(a)).\nAnswer: 63*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**5\/4 + 3*z**2\/2 + 4. Let j(b) be the second derivative of v(b). Let p(f) = f - 10*f + 10*f. Give p(j(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j**2 - 47*j - 233. List the prime factors of p(-10).\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 - r - 2. Let j be y(2). Suppose j = -4*w - 3*p - 34, 4*w - 5*p = -p - 20. Let h = w + 20. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**10\/378000 - k**9\/75600 + k**8\/50400 + k**5\/10 + 7*k**2. Let g(q) be the third derivative of j(q). Factor g(r).\nAnswer: 2*r**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 + 184. Suppose 68 - 2 = i*w. Let d(h) = h**2 - 7*h + 8. Give d(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -7\/3405 (c) 0.1 (d) 0.3 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*l**3 - 176\/9*l**2 - 1352 - 2548\/9*l.\nAnswer: -4*(l + 13)**2*(l + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4760 + -2776. Suppose 5*k + 3*k - u = 0. Suppose 0 = -2*x + k + 116. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k - 23*k + 14*k - 102*k**2 to a*k**2 + s + x*k and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 182952300 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 12 = -4*f, 5*f - 344 = -3*l. Calculate the highest common divisor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 176711 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 117 + 102 = 0. Solve x*u - v + 1 = -1, -u = -v - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - z + 1701 = 1714, -h = 8*z - 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17503 + 17502.92859. What is t rounded to 3 decimal places?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 7*f + 246*p - 250*p, 3*p - 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(1\/18)))\/(s\/(((s*s\/((s**12\/s)\/s*s))\/s)\/s)*s))\/(((s\/s**(-6)*s)\/s)\/(s*s\/(s\/(s\/(s*s*s\/s**24))))))**(-10\/11) assuming s is positive.\nAnswer: s**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1577*w - 3153. Give i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n - 317 = 3*m, 0 = -5*n - 5*m - 315. Let x = -56 - n. Let c(v) = -10*v. Let l(u) = 3*u. Determine x*l(a) + 3*c(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -42*d + 31. Let y be x(-11). Suppose -4*n - k + 684 = -299, 0 = 2*n - k - y. What are the prime factors of n?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c - 2*c)*(1 - 1 + 2*c) + 0*c**2 + c**2 + c**2 - 5*c**2 - 7 + 7 + 0*c - 2*c**2 + 0*c + (-3*c + 3*c - c)*(0*c + 0*c - c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - 10*o - 4*p + 24, 4*o - p = 24 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 38440776?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -49282 divided by -5\nAnswer: 49282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5 + 7 = -4*a, c - 2*a - 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/7 in 45, -2\/383, -0.8?\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13567 - -0.135. What is n rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012570503 to 7 decimal places.\nAnswer: -0.0001257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123507664, -123507663, -123507662, -123507661, -123507660?\n\"Answer: l - 123507665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*p - 96*p + 85*p - 8439 = 0 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133\/2 + 1\/(-2) is divided by -12 + 45\/(-9) + 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert e8 (base 15) to base 4.\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593621020?\nAnswer: 2, 5, 43, 107, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 319, 1\/8, 1, 0.5, -3\/19, 103 in ascending order.\nAnswer: -3\/19, 1\/8, 0.5, 1, 103, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 317122674 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 2. Let h = -19 + 16. Calculate c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 11*r = -20. What is the greatest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.029184*-110.\nAnswer: -333.21024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2*t + 3. Suppose 10 = 4*d + 2*u, 0 = -3*d - 3*u - 4 + 13. What is the remainder when m(-1) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, c: 7}. Give prob of picking 2 c and 1 u.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1)*z)**(-42)*(z**0)**(-1\/26)*((z**6\/z)\/z**(-5))**(-14\/3) assuming z is positive.\nAnswer: z**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/3, -15, 5, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16828 - -16975. What is the highest common factor of w and 2100?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1583278.\nAnswer: 316655.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 267, 266, 265, 264, 263?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171535 is divided by 87?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1024 = -5*a - m, 5*a - 2*m = 1026. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 1)*9\/(-6). Suppose 4*q = 0, -4*q + 21 = -0*l + z*l. Solve 0 = i - 4*u + 5 + 9, l = 4*i + 5*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -26. Let o = -6 + a. Sort 0, -1, o in decreasing order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b6965 (base 12) in base 3?\nAnswer: 2210101122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16416, -16402, -16388, -16374, -16360, -16346?\n\"Answer: 14*k - 16430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2790.24.\nAnswer: 2790.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1353, -1362, -1375, -1392?\n\"Answer: -2*s**2 - 3*s - 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = 3*u, 0 = 4*x - 3*u + 4. Find the second derivative of -208*l**2 - 16*l**2 - 35*l + 38*l**x wrt l.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 3*o - 3. Let s(i) = -25*i**2 - 35*i - 35. Let q(h) = -35*g(h) + 3*s(h). Let a(l) = -508*l**2. What is q(a(f))?\nAnswer: -1290320*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i + 6. Let a be (-4)\/6*(1 + -10). Let f(z) = -10*z - 13. Let w(c) = -11*c - 14. Let o(k) = -7*f(k) + 6*w(k). Give a*l(m) - 5*o(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3*v**2 + 5*v + 6. Let t be h(-4). Solve y + t = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/40 - (-5)\/25\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 23*a + 29 = -14*a, -3 = -i + a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*z - 28 = 9*i, -4*i - 434*z = -429*z + 35 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*z + 3*p - 10, 4*p = 0. What is the least common multiple of 5 and (z\/10)\/(-1)*10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1\/2)\/(8\/(-80))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -6\/5, 2, -0.09 in ascending order.\nAnswer: -6\/5, -0.09, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 284 + 15*l + 18*l - 281 to the form n*l + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10062 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19127169 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 188409807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31446 - -31451. Solve 5*x + 24*y - 35 = 27*y, -a*y = 25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 + 202. Let g = 16 - 7. Suppose -2*f = f - g. Solve -f*u + w = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239015 - 239015 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30371*-3\nAnswer: -91113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1259*n - 1678*n - 1626*n - 2204*n - 915*n as h*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -14. Suppose c = -3*p + 5*j + 116, 0*j + 10 = 2*j. Let r = p - -1. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 + -107. Let p(g) = 25*g**3 - 3 - 25*g**2 + 27*g**2 + n. What is p(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 95 = 62*l - 63*l, 3*l + 3*a + 135 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-8)\/(3 - 7)). Solve c - 2*c - 3 = s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60043958 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1283, 2780, 4283, 5798, 7331, 8888?\n\"Answer: z**3 - 3*z**2 + 1499*z - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 174 = -p. Calculate the remainder when 84 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61\/557499 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236542 and 15958.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 4*t**2 - 3*t + 11. Calculate s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0 - -4) + -3. Suppose o*c - c + 31 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 209999\/3*k**3 + 0*k**2 - 35 + 4*k. Let j be h(2). Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.81 - 86.31. What is the nearest to -21 in 0.2, x, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -41, -2\/11, 0, -1.4, 0.73, 2\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b**3)))**7\/(b*b**(-2\/9)\/b)**(1\/63))**(-9))**(3\/10) assuming b is positive.\nAnswer: b**(-7939\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t + 75. Suppose -9*n + t = -4*n. Suppose 2 = -w + 6. Solve -w*d + 3*j = -7, j = 5*d - 0*j + n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*u - 396*u - 63*u**3 + 787*u + 1.\nAnswer: -63*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v + 4 + 2*v**2 - v**2 + 2. Let s be j(5). Suppose s = y - 2. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.08, -1\/5, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 9*w + 1. Put w, -0.3, 2, 0.1 in decreasing order.\nAnswer: 2, 0.1, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(98)*1 + sqrt(98)) + 0 + -2.\nAnswer: -2 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 13. Let c = -9 - h. Let f = c + 20. Put 4, f, -5 in descending order.\nAnswer: f, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/45 (b) 7\/2 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (61 - 12636\/208)*120\/65\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 4*v. Let l(z) = 10*z**2 - 14*z. Let m(h) = -4*l(h) + 14*s(h). Let b(t) = 140*t**2. What is b(m(k))?\nAnswer: 560*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - -0.01. Let r = 0.03 - l. Let h be (-1)\/(-6)*(-8)\/(-6). What is the closest to h in -1, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (375\/200*(-3)\/6*-4)\/((-81)\/18).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1780 and 1157.\nAnswer: 23140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrreeereeeerelle. What is prob of sequence lrrr?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by 65731.\nAnswer: -95\/65731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-544)\/(-40))\/((-2)\/(-60)). Suppose -15 = 3*m, 3*n + m - i = -2*m. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.14 times -0.6\nAnswer: -0.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -301 + 481. Let j = h + -359\/2. What is s in s - 1\/2*s**4 + 1\/2*s**5 - 3\/2*s**3 + j*s**2 + 0 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*f + 4*b, 6*b - b - 15 = 0. Suppose f*k - u = 1, -3*u + 1 + 14 = 0. Suppose -11*g + 32 = -k*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22899\/8 - -2862. Which is the closest to -2\/7? (a) -1\/4 (b) -29 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f. Let s(l) = l - 16. Let q be s(7). What is the tens digit of 3\/(q\/(-33)) - f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 149 - 21 - 380 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -7. Suppose 2*z + 6 = 36. Calculate the remainder when k is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15 - -1)*95*(-8)\/(-160).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122702256 divided by 5823.\nAnswer: 21072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/(-40))\/((-34)\/10 + 3). Let j = 3 - 1. Solve -4 = -j*h + 3*p, 3*h = -v*h + p - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1596, 1592, 1588, 1584, 1580, 1576?\n\"Answer: -4*n + 1600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(2\/15)*g)\/((g\/g**(-3\/4))\/g))\/(g**1*g)**(-34))**22)**(7\/2) assuming g is positive.\nAnswer: g**(315931\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**5\/2 - 135*z**4\/2 + 1485*z**3\/2 + 795*z**2\/2 - 17271*z + 34020 = 0.\nAnswer: -54, -5, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 4\/7 (c) 0.2 (d) -570 (e) 1.74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1146401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yofqpgqf. Give prob of picking 1 g, 1 y, and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 53, -1\/9, 5, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 9) + 2 + 0 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302331 (base 4) in base 7?\nAnswer: -45251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-5208))\/(((-6)\/4)\/((-24)\/8))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhvhhuhhh. Give prob of picking 1 v and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.025025 - -0.0246. What is c rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5307 and -0.3?\nAnswer: -1592.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -399 - -404. Let p = -28.98 + 29. What is the closest to p in 0.1, c, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 4*u**2 - 3*u + 4. Let h be n(3). Suppose 0 = -8*f + 6*f + 32. Suppose f - h = i. Solve 3*z = 3*v - i, 6 + 6 = -2*v - 2*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(84) + -1*sqrt(84) + sqrt(84))*-4)\/sqrt(7))**2.\nAnswer: 64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:41 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -0.27 (b) 0.3 (c) 0 (d) -2\/9 (e) -9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 12 = 13, -d + r = 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3626530 is divided by 142?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25126 (base 8) in base 2?\nAnswer: 10101001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18441720 to the nearest 100000.\nAnswer: -18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - k + 6695 = 0. List the prime factors of k.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 45 + -61 + 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -22, -29, -34, -37?\n\"Answer: m**2 - 12*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.9 - -12.9. Let i = -1.8 + 2. Let h = -1.2 + i. What is the smallest value in h, 0.5, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3046667 or 3046661?\nAnswer: 3046667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10965*w + 76965. Let n(x) = -645*x - 4526. Let q(o) = -2*j(o) - 35*n(o). Differentiate q(h) with respect to h.\nAnswer: 645","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10338 + -10238.33. Let d = n + -99. Round d to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88991429 is divided by 935.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7680*g + 29537*g + 19 + 10 - 29 to the form j*g + y and give j.\nAnswer: 37217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84539 is divided by 11727?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*s + 29, -5*r - 16 = 172*s - 175*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)\/(b**(4\/5)*b))\/(b**(4\/3)*b**(1\/7))*((b*b\/((b\/b**2)\/b))**(1\/29))**46 assuming b is positive.\nAnswer: b**(8126\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -203009, 1, 0, 2 in increasing order.\nAnswer: -203009, 0, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -9 + 24. Let t be k + (-48)\/(-4) + 3. List the prime factors of 1\/3*(-3 + t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232349213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.3 times -0.28?\nAnswer: 8.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 293 - 1593. Let q = 339 + o. Suppose -4*g = -0*g - 4. Put g, q, 0 in descending order.\nAnswer: q, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 147*z**3 - 92*z**2 - 60*z.\nAnswer: z*(z - 1)*(z + 30)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4252?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t, 5*j + 6500 = -5*t. Round j to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*g**3*l**3 + 14*g**3*l**2*m**2 - g**3*m**3 + 5*g**2*m**3 + 11*g*l**3*m**3 + 19*l**3*m - 14 wrt l?\nAnswer: -792*g**3 + 66*g*m**3 + 114*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 569572.\nAnswer: 1708716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c = -500*c - 2232 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106.96 + -2.21. Let q = -123 + g. Let y = q - 0.65. What is y rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jiui when four letters picked without replacement from {j: 1, i: 2, b: 1, u: 2, c: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*g = -1502 - 946 - 2064 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 111 + 108 = 219 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6539 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 20*n**2 + 46*n. Let l(o) = o**3 - 20*o**2 + 53*o. Give 6*c(h) - 5*l(h).\nAnswer: h**3 - 20*h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3\/7, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 0 (c) -2 (d) -7 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 28 + 46 + 8 + -15?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrrjrrjjr. Give prob of picking 3 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5))\/((h**(4\/3)\/h)\/h))\/(h**(-2)*h*h*h*h*h)**(7\/6) assuming h is positive.\nAnswer: h**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Factor -d + 0*s + 4*s**2 - 5*s**2 + 3*s + s.\nAnswer: -(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 13.694.\nAnswer: 18.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 170*d - 72*d - 490. Let a = -0.3 - -0.46. What is the smallest value in -1\/2, a, d, -2\/19?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -76?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1510312429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1. Let b(m) be the third derivative of -m**4\/24 + m**3\/3 - 5*m**2. Let c(p) = -b(p) + 3*o(p). Let n(h) = 9*h + 4. Calculate 4*c(q) - n(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.200490942 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/114 and -95\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 0.3. Let r be (-1)\/8*(1 + -3). Let p = 3.3 + -5.3. Which is the closest to r? (a) t (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23054, 92226, 207504, 368882, 576354, 829914, 1129556?\nAnswer: 1475274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-990)\/30)\/33*-61?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 0 - (-9 - -6 - (-8 - -4)). Sort 0.021, -0.1, y in decreasing order.\nAnswer: 0.021, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154243825 to the power of 1\/3, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -3, -5, -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**2 + 0 - 4*j - 25\/6*j**3. List the prime factors of b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -2, 1.\nAnswer: -41, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*j + 41. Let p(n) = n**3 + 8*n**2 + n - 2. List the prime factors of p(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26894.\nAnswer: 2, 7, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) -0.1 (c) -5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2\/7)*p)\/p)\/p)**(-33)*(p**(-1\/2)*p)**(-15) assuming p is positive.\nAnswer: p**(-237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -8*h. Let b be ((-6)\/(-8))\/(7\/(-196)*-7). Suppose 0 = 5*y + w - 31, b*y + h*w = -w + 19. Solve -y*a = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j = 40*j - 50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2849 = 3*h - 4333. Is 123 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13658 - 2?\nAnswer: 13656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 5. Suppose -2*d - 4*y + 8 = 0, 5 + 1 = -4*d + 3*y. Determine i(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/(-4)*16\/(-20). Let o = 2 + -2. Suppose -59*p + 66*p - 35 = o. Calculate the greatest common factor of h and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let p(y) = -y + 7. Let i be p(5). Suppose 0 = -2*d - 2*w - 3*w + 28, -2*w = 3*d - 20. Let a(j) = d + j**i - 4. Give a(h(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/9 - (2 - 4). Let b be ((-16)\/(-6))\/((-2)\/(-24)*8). Solve -n = n - b*k - 16, -2 = -3*n - z*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 22*v - 720, -223*x + 163 = -222*x + 5*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (13 - -4)) + 5 - 22\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -91174 - 5271?\nAnswer: -96445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*t - 99. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000074833 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -18 - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -19*c + 2. What are the prime factors of o(-5)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 51*b = -515. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*o - 2*h - 2, 0 = 4*o + h - 6. Let b be 2 + 2 - (o - 2). Suppose b*j = -0 - 4. Let n(p) = 8*p - 1. Determine n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(16)\/(sqrt(4)*-1)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*m*q**4 + 2*m*q**3 - 12*m*q - 4*m - 71*q**4 - 65*q**3 + 39*q**2 - 2*q + 204 wrt q.\nAnswer: -456*m*q + 12*m - 1704*q - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -0.2, 11\/75?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiaisiisiiaii. Give prob of picking 3 i.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.551848821 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -13*h - 10 - 81 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*t, 3*t + 6*r - 8 = 5*r. Suppose -56 - 134 = -t*o. List the prime factors of o.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - x**2 + 122*x - 1. Let u(m) = m**3 + m**2 - m + 1. Calculate -g(y) - u(y).\nAnswer: y**3 - 121*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3935*l + 57 = 6*d + 3938*l, 2*l + 151 = -6*d + 23*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5\/304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmfktmmmfmpmmbkmtm. What is prob of picking 1 t and 1 b?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, -1521, -2\/7 in decreasing order.\nAnswer: 3, -2\/7, -0.3, -1521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5.9, -4, 1\/4, -0.2, 3.2, -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223.4 - 223.31025. What is i rounded to 3 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*x + 32 = 0, -63 + 39 = 8*o - 5*o - 3*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -836\/9 + 93. What is the nearest to -2\/7 in -1, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/197145 and 31\/26286?\nAnswer: 394290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2350 - 282 = -14*m. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 12:12 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -32*f**3 - 5*f**2 + 35*f + 2. Let w(c) = -120*c**3 - 17*c**2 + 105*c + 7. Determine 14*b(n) - 4*w(n).\nAnswer: 32*n**3 - 2*n**2 + 70*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18108 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101595 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1053) - (sqrt(1053)*-1 + sqrt(1053)) - (sqrt(13) + sqrt(13) + (2*sqrt(130))\/sqrt(10))) + (1*(sqrt(208) - sqrt(13)) - -3*sqrt(1053))))**2.\nAnswer: 143325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/8 + 2\/8. Let m be 2\/9 + (-6)\/27. Suppose g = -m*k + 2*k. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**4 + a**3 + a**2 + a - 1. Let u(p) = 3*p**4 + 5*p**3 + 5*p**2 + 6*p - 5. Let c(t) = 3*u(t) - 15*z(t). Find the second derivative of c(i) wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) -3\/187 (b) -2\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63931 - 67617 = 8*k - 12*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/3 and 2 + -1 - (138\/(-189))\/((-360)\/70).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 33 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6)*24\/4. Suppose -j = j - b. Suppose -w - 5 = -j. Solve 0 = u + 6 - w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 81*x**4 + 453*x**2 - 82*x**4 + 9*x - 8*x in the form o*x**3 + t*x + q + s*x**4 + j*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 774 and 47445426?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1121.2 and -17.\nAnswer: 1104.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 146084007\nAnswer: 29216801.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4\/3 + 853895\/651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 2*f**2 + f - 5. Let n be z(0). Let x be ((-43)\/3)\/(n\/30) - 2. Suppose -x = -4*r + 124. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 11}. What is prob of picking 1 x and 1 f?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 52*l + 7*l**2 + 0*l**2 - 52*l. Let w(k) = -11*k. Let i(n) = -15*n. Let z(h) = -4*i(h) + 5*w(h). Give z(u(d)).\nAnswer: 35*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/(-3)*(-794)\/3970.\nAnswer: -84\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - 5*m**2 - 2 - 2*m**4 + 8*m**3 - 35*m + 34*m in the form n + o*m**3 + v*m**2 + s*m**4 + j*m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 82*a - 2. Let g(w) = -79*w + 1. Give 4*g(k) + 3*l(k).\nAnswer: -70*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-217 + 217 + 118*c)*(-2*c + 4*c + c)*(-4 + 4 - 2*c) to the form g*c + n + f*c**2 + v*c**3 and give v.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 447469978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 2240*s**2 + 415552*s - 25560576.\nAnswer: 4*(s - 216)*(s - 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453398621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 15*y - 50*y - 42*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 2. Let p = 7 + -11. List the prime factors of m(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501628.\nAnswer: 2, 125407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(11) + sqrt(88)\/(sqrt(40)\/sqrt(5)))**2 + -2 + ((sqrt(88)*3*-1)\/(sqrt(512)*-2))**2.\nAnswer: 32*sqrt(11) + 48739\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, f: 3, m: 1, s: 1, k: 2, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50301 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/6 - 3*w**2\/2 - 11*w. Determine t(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1. Let u(f) = 69*f - 13. Let c(t) = -2*n(t) - u(t). Is c(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-4 - -3) + -3 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -293*l + 7613. Let f be w(26). Which is the nearest to 93? (a) f (b) 18 (c) -3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + 1*sqrt(833) - (sqrt(833) + (3 + sqrt(833)*-3 - sqrt(833))**2 + sqrt(833) + 5).\nAnswer: -13344 + 161*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3 + 19. Suppose 0 = 3*q + 2*d - 12, 4*q + 2 = 2*d + 4. Suppose g = 4*g - 3. Solve -q*c + g = m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {e: 4, z: 4, h: 3, g: 1, c: 4, p: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*x = 2*l + 428991, 0 = -l + 3*x - 143009. What is l rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 97.18939t?\nAnswer: 97189390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29172388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -27*a + 50. Let v be x(2). Calculate the lowest common multiple of 24 and (-1)\/((2 - -3) + v)*-39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -358, -720, -1078, -1432, -1782, -2128?\n\"Answer: 2*o**2 - 368*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/20)\/(6\/4). Let c = 36.9185 - 0.0185. Let y = 37 - c. Is y at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*b + 5, 2*v - 34 = -2*b. Let f(d) = -46 + 26 + v. Let s(x) = 2*x**2 - x - 5. What is 6*f(z) + s(z)?\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648) - (-1 + sqrt(648))) + 4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 124*c**2 + 864*c - 13. Let b be g(-7). Solve h = -2*s + 23 - 30, -3*s = -3*h + b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-7))\/(348\/(-406)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1383 and 8479173?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3734*l + 37344. Give j(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 + 7*m**2 - 12*m + 4. Calculate d(4).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -426, -352, -286, -228, -178, -136, -102?\n\"Answer: -4*r**2 + 86*r - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -110? (a) -2 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575684511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:16 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 438 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 414\/11 and 25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (2 - (2 - -1)). Suppose -q*x + 53 = -11. What is the lowest common multiple of 6 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4123443432 (base 5) in base 3?\nAnswer: 120211212110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h - 107. What is x(-20)?\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430250 and 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**3 - c + c + 0*c**3 + 2*c**3 + 0*c**3 + (c + 4*c - c)*(2*c - 2*c + c**2).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2600.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h*t**3 + 78*h*t**2 + 195*h*t + h + 2778*t**2 - 171*t wrt t.\nAnswer: -6*h*t + 156*h + 5556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*(((z*z*z**(-3)*z)\/z)\/z)\/z)*z)\/z)**30 assuming z is positive.\nAnswer: z**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:15 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364 at most 9455\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (0 + -2 + 0). Let t(o) = -o + o + 9*o**z. Let l(n) = 2*n. What is l(t(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*j - 0*o, -2*j + o + 11 = 0. Solve -h + 1 - j = -4*s, 4*h = -12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. Let t(s) = -4*s + 84. Let w(f) = -18*f + 420. Let j(o) = 21*t(o) - 4*w(o). Let q be j(7). Solve -4*g - 25 = g + 5*p, 2*p + a = q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 11*p - 31. Let z be t(-6). Let r be -3*10\/(-6) + (-3 - z). Suppose 8*a = r*a + 705. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuknuukkkukuuguugkku. What is prob of sequence uukg?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 4*w - 5. Let p(q) be the second derivative of -q**5\/20 - q**3\/2 - 2*q**2 - 3*q. What is 4*b(m) - 5*p(m)?\nAnswer: m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 59310000 to the nearest one million.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700815 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473 + -477. Let c be (3\/9*1)\/(h - -3). Sort 6, 5, c, 4.\nAnswer: c, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 334041, 668008, 1001975, 1335942?\n\"Answer: 333967*b + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 123 in 1, -1\/4, 4, 1\/10, -0.16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27915607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i*i**(3\/10)\/i*i)*i))\/(i**(-2\/11)*i))**(-40))**(11\/4))**(2\/27) assuming i is positive.\nAnswer: i**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - -29.87. Let c = -29.96 + u. Round c to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121686497 take away 0.08?\nAnswer: 121686496.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 - -74 - (151 - 154)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 2*j**2 - j - 4. Let b be w(3). Suppose x - 4 = -b. Let q = 61 - 59. Solve 4*l = -4*p - 12, x*p = q*l - 0*l - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (15 - 55) + (-39 - 13)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - 11*x - 1. Is 14 a factor of j(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-2)\/(-3)*5. Let v be 2\/5 - 26\/i. Suppose -4*z - w + 7 + 2 = 0, 0 = 5*z + v*w - 6. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 97?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16685 + -51?\nAnswer: -16746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a9 (base 13) to base 14.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104*n**3*p**2 + 10015358*n**3 + 18729*n**2*p**2 wrt p.\nAnswer: 208*n**3*p + 37458*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (1 + -1 - 301)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**2 - 7*u**2 + 3 + 0 + 0*u**2 to w + k*u + i*u**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {j: 4, l: 2, y: 2, h: 2, z: 4, u: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -2*h**3 + 12*h - 3 - 11*h**2 - 5*h**3 + 9*h**3. Factor o(k).\nAnswer: 2*(k - 3)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181 - -181.4. What is the third biggest value in 5, -1, 18, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from ertejjterjj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/96 - 27*c**5\/16 + 175*c**4\/2 - 1000*c**3\/3 - 388*c**2. Factor f(l).\nAnswer: 5*(l - 40)**2*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 5000?\nAnswer: 4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15.632 * -15\nAnswer: 234.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 58. Let s = j - -260. Is 33 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-48)\/30)\/((-1)\/5). Solve 8 + u = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-49))**(-1\/7)*(w*w\/(w\/(w*w**(-1)\/w))*w\/(w\/(w*w**3)))**(1\/9) assuming w is positive.\nAnswer: w**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4\/7 + 5506806*x**3\/7 = 0.\nAnswer: 0, 1835602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130 - 1166312?\nAnswer: -1166162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 62?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6) + 1\/(-2). Let l be (-125 + ((-4)\/(-1))\/(-4))\/1. Let k be 1 + 183\/l - (-6)\/9. Is d smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 24*r**2. Let f(y) be the first derivative of -y**4\/3 - 3*y - 39. Let h(p) be the first derivative of f(p). What is l(h(q))?\nAnswer: 384*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 84378346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 8310*z**2 + 1915656*z - 3864576.\nAnswer: 3*(z - 2)*(z + 256)*(z + 2516)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 14, t: 2, h: 2, b: 1}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 5 - 2 + b + (-1 - 3 + 2)*(1 - 2*b - 1))*(b + 2*b - 2*b) as l*b**2 + z + c*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x**2 - x + 14. Suppose 0 = 20*w - 13*w - 21. Calculate the remainder when 43 is divided by f(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2452 and 28.\nAnswer: 17164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 + 198. Let c = 2 - y. Let j = c + 71. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h**2 - h - 3. Let m(w) = -w - 7. Let x be m(0). Let d be 1 - (-9)\/(4 + x). Let v be y(d). Put v, -10, -2 in decreasing order.\nAnswer: -2, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -53b4?\nAnswer: 53a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 2*b + 2*b)*(3*b + 0 - 2*b - 2) as c*b**2 + f + q*b and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 36*f = 41*f + 37, 4*l + 3*f + 27 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 6*i - 1. Let l be z(3). Let n = 90 - l. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1736 = -293*q - 3051 - 4252 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -442.9 - -441.9. Which is the closest to -4? (a) 3 (b) -1.5 (c) n (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + d?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 8. Let c be n(12). Let x be 4 + -79 + c + 1. Calculate the common denominator of 99\/10 and (4\/x)\/(72\/(-8550)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168220 divided by -130?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2 + 0)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1782433 + -0.07\nAnswer: -1782433.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 15342078?\nAnswer: -92052468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -549*v**3 + 3*v**2 + 21. Let t be n(-2). Round t to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*z - 29814 + 7779 = 1134*z - 132*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 204.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (49 + (-133 - -71))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4*m = -w + 23, 0 = w - 2*m - 35. Let h(t) = -2 + 1 + 30*t - w*t. Let z(r) = -r**2 + 2*r - 2. Determine -5*h(d) + 2*z(d).\nAnswer: -2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1. Let r be 3*(8\/(-6))\/1. Calculate the remainder when 3 is divided by q(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-16)\/(-6))*(-8)\/(-1080)*45.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 + 5. Let j = 1.9 + i. Let m = -3.4999962 + j. Round m to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + 36. Suppose x - 3*b + v = 0, -3*b + 6*b = 5*x + 447. Let j = x + 274\/3. What is the smallest value in 4, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**4\/3 - 8*y - 8. Let i(o) be the first derivative of r(o). Let j(q) = 27*q. What is i(j(g))?\nAnswer: -2916*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 29*h**3 - 35*h**3 + 67*h**3 - 2*h + 2*h**4 - 11*h**4 to g*h**3 + o + d*h + j*h**4 + q*h**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 take away -4.3166?\nAnswer: -470.6834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 79580.69 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 1\/18*c**4 + 0 - 20*c + 8\/9*c**3 + 5*c**2. Factor w(b).\nAnswer: 2*(b + 3)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6\/7)\/p**(-6))\/(p**(-1\/16)*(p**(6\/13)\/p)\/p))**11 assuming p is positive.\nAnswer: p**(108009\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23800 by -2.\nAnswer: 11900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.4 + 9. Let y be (-5)\/2*4\/3 - 72\/(-24). Put -5\/2, 3\/5, a, y in ascending order.\nAnswer: -5\/2, y, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122114542, -244229083, -366343624, -488458165, -610572706?\nAnswer: -732687247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 3*y**6 - 2*y**3\/3 - 7*y**2 + y - 24. What is the second derivative of p(b) wrt b?\nAnswer: 360*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/15108681 and -121\/30217362.\nAnswer: 30217362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*y = 90*y + 101*y + 236835. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzzzmmmmmmmmmmmmmzm. What is prob of sequence mm?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6753, -6750, -6747, -6744, -6741?\n\"Answer: 3*k - 6756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5843, 11340, 16837, 22334, 27831?\nAnswer: 33328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*f = -13, 0*w - 2*w + 17 = -5*f. Calculate the highest common divisor of w and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 80 = 5*p. Suppose -p = 5*u - 46. Let a(i) = -u + 2 + 3 - i + i**3. Determine a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 292589768 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 450249161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 31. Let s(n) = -n**2 - 2*n. Let i be s(o). Solve 0 = -g + i - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let g(f) = -9*f + 4. Let t(z) = g(z) - 4*r(z). Let n(q) = -2*q**2. What is n(t(s))?\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9303889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(528))\/(sqrt(576)\/sqrt(12)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 5, 2406?\nAnswer: 2406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 89 = -23*b. Suppose -3*k - b = -4*h, -k - 4*k = 15. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Suppose 4*f = 2*l - 6*l, -5*f - l + 8 = 0. Let m(b) = -b - 4*b**f + b. Determine j(m(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -4, 29377, -1, 0 in descending order.\nAnswer: 29377, 5, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45738 or -45739?\nAnswer: -45738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60085*h + 69755.\nAnswer: -60085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -745 + 23?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55.1459 and -260.9.\nAnswer: -14387.56531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 816 = 792. Sort n, 12, 26 in decreasing order.\nAnswer: 26, 12, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -1392.\nAnswer: -41760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.3 + 6. Let n = 0.3 + h. Suppose -8*p + 6 = -11*p. What is the third smallest value in p, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + -39487)\/(-1) + -27 + 13 + 9?\nAnswer: 2, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -12 - (2 + ((-1296)\/30)\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120*x = 211*x + 745*x + 30829 + 45983 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48976 + (-7*-7*(-4)\/98 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -156 (b) 5 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 14506834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(99)*-1)\/sqrt(9).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -43. What is the highest common divisor of 56 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-22)\/77)\/(9\/(-21)). Let m(f) be the second derivative of 3*f**2 + 4*f + 0 + o*f**3 + 1\/18*f**4. Factor m(u).\nAnswer: 2*(u + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170481 and 250038800?\nAnswer: 750116400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 16 + 16. Let a be 1 - (1 + 1 + r). Let x = -5 - a. Calculate the remainder when 11 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23832 is divided by 2173.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 5*f - 1. Let p be l(0). Which is the third smallest value? (a) p (b) 1\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 - g**2)*(3*g**3 - g**3 - 3*g**3) - 279*g**5 - 55*g + 31*g + 24*g.\nAnswer: -280*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*t - 2*d, -5*d + 9 = -5*t + t. Find the common denominator of t\/15 - (-514)\/160 and 79\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 203580156*s + 142631371 wrt s?\nAnswer: 203580156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1)*(-2 - -2). Suppose h = c + 10 - 56. What is the remainder when c is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40335156?\nAnswer: 2, 3, 89, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g + 18*g + 9*g)*(-227*g + 657*g**2 - 2147*g**2 + 227*g) as j*g + c*g**3 + s + m*g**2 and give c.\nAnswer: -31290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809 - 251 - 305 + 6*a**2 - 253.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11473 is divided by 244.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3. Let t(s) = -2*s**3 + s**2 + 4. Let l(b) = -m(b) + t(b). Suppose -16 = 5*o - 3*q - 1, 0 = 3*o + 4*q - 20. Suppose o = h + 2*h. What is l(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 - 5*i + 1. Suppose 0 = -58*a + 56*a - 8. Calculate d(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125127949 from -0.022.\nAnswer: 125127948.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 23. Suppose 0 = 4*d + 5*v - q - 17, -d + 5*v - 7 = 0. Suppose 2*i - 178 = -d*n, -i + n - 3*n + 89 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23528, 47076, 70672, 94340, 118104, 141988?\nAnswer: 166016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-16)\/(-24) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -w - 39, 4*p - 2*w - 36 = -0*p. Let s(m) = 4*m + 11. What is the remainder when s(7) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - -8) + (-105)\/15. Solve s + 8*m - 5*m + p = 0, -4*s + 22 = -2*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -58*v - 116*v + 128*v. Let h(l) = -14*l. Determine h(c(g)).\nAnswer: 644*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -11. Let w(h) = -h - 7. Let m be w(i). Let f be m\/(42\/(-15) + 3). What is the third smallest value in -1\/5, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 419 + 269 = 0. Let i = -249\/2 - a. Let v = -28313\/7002 - 14\/1167. Find the common denominator of v and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d\/(d**(1\/2)*d)*d))**50*(d*d\/d**(-3))**4)**14)**43 assuming d is positive.\nAnswer: d**(-3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.41 and 9.27311.\nAnswer: 8.86311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/12*-2 + (-33112)\/48. Does 17 divide -6*(-8)\/24 - (0 + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1627 from -0.1.\nAnswer: 1626.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -89 + 122 + -15?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2. Let g(f) = 1. Let o(l) = 3*l**2 - 5. Let n(y) = -10*g(y) - 2*o(y). Calculate n(j(w)).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 7*d - 312. Suppose 0 = -5*v - 3*y + 120, 2*y - d = -3*v - y. What are the prime factors of ((-12)\/v)\/(1\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364874657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q - 2 + 17*q - 9. Let l = -3 - -1. Let p(c) = -4*c + 2. Let z = -37 - -26. What is l*b(i) + z*p(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-16))\/((-8)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 2, s: 2, f: 2, x: 6, e: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42749, -171698, -386619, -687512, -1074377, -1547214, -2106023?\nAnswer: -2750804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 9. Suppose -4*d + 5 = -2*w - 9, 14 = 3*d - 5*w. Let a(m) = -m + 5. Calculate d*g(j) - 5*a(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74222*q**4 + 310*q**3 + 46485194*q.\nAnswer: 890664*q**2 + 1860*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8755.897864 + 8756. What is x rounded to 3 dps?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**9\/168 + 5*v**8\/48 + 22*v**5\/5 - 40*v**2 + 1. Find the third derivative of p(f) wrt f.\nAnswer: 360*f**3 + 2100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/2370752 and 41\/10668384?\nAnswer: 21336768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*h + 4*h**2 + 17*h)*(22*h + 24*h - 74*h - 159*h) to g + q*h**2 + p*h**3 + y*h and give p.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 13. Suppose 0 = -15*d + 277 - 7. What is the greatest common factor of j and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -2 + (61 - 54) + (4 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60947 at most as big as 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Let y be ((-17)\/(-1))\/(a - -1). Let p(g) = 14*g**2 + 20*g. Let x(t) = 5*t**2 + 7*t. Determine y*x(k) - 6*p(k).\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 3032*s**3 - 6058*s**2 + 3028*s.\nAnswer: -2*s*(s - 1514)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 600*j - 145*j + 658*j + 465*j to the form h + y*j and give y.\nAnswer: 1578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2077*s - 15*s**3 - 2077*s.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56\/36 + (-206)\/(-18)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a centimeter in millimeters?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-15))\/(10\/36))\/((3813\/(-155))\/(-41))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1708 and 4.1.\nAnswer: 1712.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1610552 divided by 46.\nAnswer: 35012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 718 + -507. Suppose k*t = 210*t - 4. Let x = 3 + -3.5. Which is the smallest value? (a) 1\/5 (b) x (c) t (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 864, 2880, 6794, 13236, 22836, 36224, 54030?\nAnswer: 76884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 45, 5, -69, -2, -3, -1 in descending order.\nAnswer: 45, 5, -1, -2, -3, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -0.1 (b) -1\/119 (c) 0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 + 142944*o**3 - 1267736536*o**2 - 166621958880*o - 5434913064100 = 0 for o.\nAnswer: -65, 17933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 158 = -427*s + 405*s, -5*a + 50 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000000100001 (base 2) in base 7?\nAnswer: -50631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 185091 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 1614171436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-3 - (-15 - -26)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6*r + 9*r = 9, 4*w = -r - 12. Let t(a) = -a**3 - 3*a**2 - 3*a - 7. Let g be t(w). Solve g*o = 7 - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -2\/15 (c) -49 (d) 0.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -48\/7, 25.09, -2\/9?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:50 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskkss. Give prob of picking 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-264) - ((-1550)\/(-22))\/5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*h - 5, 2*h = -0*n + n + 1. Let m be 0\/(n + -1 + 3). Is m + 0 - 38\/(-2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21255344 is divided by 268.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7753, 7763, 7779, 7801?\n\"Answer: 3*z**2 + z + 7749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 51*l**2 - 24*l + 23. Calculate s(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 530f + 140?\nAnswer: 544f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71 - -21) + 77847\/(-847).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 34422*z**2 - 3387762*z - 83117818 = 0. What is z?\nAnswer: -49, 17309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2861 = 123*c - 40622. Do 249 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:34 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1943, -4567, -7629, -11123, -15043, -19383, -24137?\nAnswer: -29299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/44)\/((-310)\/1860)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, u: 2, b: 4, i: 2}. What is prob of picking 1 u, 1 i, and 2 b?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -68. Let z = 46.7 + d. Let w = 4.6 - z. What is the nearest to 2 in -0.3, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*k = -4*z + 176, 2*z - 94 = -4*k. Let v be (-4)\/10 - 27\/(-5). What is the highest common factor of z and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*v = -277*v - 51*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 722 + -720. What is the lowest common multiple of s and ((-6)\/(-4))\/((-1)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*w + 6, -4*g + 8*g = -3*w + 8. Let 0*j + g*j**4 + 0*j + 2*j**2 + 0*j - 4*j**3 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64714\/3 - 30609857\/1419. Calculate the common denominator of w and -57\/110.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*s + 252*s = -1274 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 251 (b) 5 (c) 118 (d) 4 (e) 0.5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 8*r + 4. Let w be i(6). Let h = 755 - 769. What is the units digit of w\/14 + (-274)\/h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 15. Let g be f(-15). Suppose 4*d + g*d - 96 = 0. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/120 - o**5\/60 - o**4\/8 - 2*o**3\/3 + o**2. Let u be 1\/(-2) - (-1)\/2. Let k = u - -3. What is g(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 28*o - 61128 = 0. What are the prime factors of o?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - r + 22 = 3*r, 0 = -2*r - 4. Let y(g) = -3035*g - 33382. Let z be y(-11). Solve z*h = v - n, 7*h = 3*h - v - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 49. What is the nearest to a in 0.5, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16591980 divided by -215?\nAnswer: -77172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -4\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -280?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 176 - 220 = 0. Suppose -5*w = 44 - g. Factor -2\/15*y**4 + 2\/15*y**2 + w - 2\/15*y + 2\/15*y**3.\nAnswer: -2*y*(y - 1)**2*(y + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015240944431 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 27, -172 in ascending order.\nAnswer: -172, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, p: 14}. What is prob of picking 2 d?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 140 + -240. Let w be ((-26)\/(-4))\/((-25)\/i). What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2 + 10*z. Let k(a) = -6*a**2 + 15*a. Let r(u) = -5*k(u) + 8*n(u). What is the second derivative of r(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = g, -3*g - 202 = -c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25056.09*-34\nAnswer: 851907.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*g + 45900002, 0 = -3*m + 2*g - 3*g + 137700019. Let v be 2 + (m\/1)\/(-3). Round v to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 10. Let c(p) = -6*p**2 - 7*p - 8 + 6*p**3 - 4*p**3 - p**3. Let o be c(7). What are the prime factors of i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g - 4. Let q be a(1). Let y be (q\/(-13))\/(10\/3*-3). What is the second biggest value in 0.4, y, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, u: 3, s: 2}. Give prob of picking 2 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -10)*2\/(-16)*-4. Let y be 1\/(-5) + (-16)\/f. Suppose -15 = -y*u + x - 5*x, -3*x = -3*u - 6. Solve w - u = -4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Suppose 3*u + q = 0, -5*t - u + 355 = -t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-7))\/c*c)\/c**(4\/7))\/((c**2\/c)\/((c*c*((c*c*c**(-6)*c*c)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14331320.\nAnswer: 2, 5, 19, 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/230 and 2\/1219.\nAnswer: 12190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x - 6 = -48*x. Suppose x*o = -2*s + 7, 5*o - 5 = -5*s + 5. Let 0*h - 2\/15*h**o + 0 - 4\/15*h**2 + 2\/5*h**4 = 0. What is h?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54423141 and 674.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + d + 0*d**2)*(-5 - 1 + 2).\nAnswer: 8*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v**3\/7 + 15214*v**2\/7 + 105136*v\/7 + 142080\/7 = 0 for v.\nAnswer: -5, -24\/13, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*b - b. Let m(w) = -w**3 + 2*w**2 + w - 3270. Let g be m(b). What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*i = 20, -3*i - 3 - 11 = -4*o. Suppose -11*m + 66 = -8*m. Solve -3 - m = o*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 154.328 micrometers?\nAnswer: 0.000154328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 11 = -9. Let h be 34 - (-1 + 2) - (v - 3). Suppose -3*y + h = -2*y. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 12. Calculate k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 - -15.25. What is the nearest to 0 in 0.2, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122157499.29 to the nearest ten thousand.\nAnswer: 122160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5571456.\nAnswer: 2, 3, 11, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 11339 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46849473*c - 93698974*c + 46849507*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392*-236.\nAnswer: -92512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = 8*k - 15876. What is the greatest common factor of k and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12513 is divided by 3126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.03, 0.1, 27, 0.3, -0.5, 314\/55, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z**4 - 714*z**3 + 1632*z**2 - 1158*z + 231 = 0. Calculate z.\nAnswer: 1\/3, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(70)\/(-1*sqrt(10)) + 0 - (sqrt(700) + (sqrt(700) + 1)**2*-4)).\nAnswer: 69*sqrt(7) + 2802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rruruururrururruuu. What is prob of sequence uu?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3803387000 rounded to the nearest 1000000?\nAnswer: 3803000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/25))**(-12)\/(c**23\/c*c*((c*(c**(1\/15)\/c)\/c)\/c)\/c))**(-15) assuming c is positive.\nAnswer: c**(1577\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2490\/(-3))\/(-6 - (-40)\/7). What are the prime factors of 5 - (-5)\/(n\/580 + -5)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 - 11*t + 5. Let z be i(6). Let a = 412 - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**4 + 3*z**3 - z**2 + 59*z - 4. Let u(l) = l**4 - l**2 - l - 2. Let j(f) = 2*u(f) - y(f). What is the third derivative of j(v) wrt v?\nAnswer: -96*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -23.9. Which is the closest to k? (a) -0.037 (b) 2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b - 3*n - 16, 0 = 5*b - 2*n + 12. Suppose 0*c + 2*c + 4*j + 16 = 0, -c - j = 6. Do c and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6*y**2 - 984*q**6*y - 2*q**2*y**2 - 749*q*y wrt q.\nAnswer: 240*q**3*y**2 - 118080*q**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.334 + -0.066. What is the second biggest value in 17.7, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 4*o**2 + 18*o - 15. Calculate the remainder when c(-6) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from garxagg. What is prob of sequence ax?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -6. Calculate the common denominator of 39\/22 and (1 - (-206)\/(-40)) + p\/32.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157 is divided by 103?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4*p = -3*l - 104, 0 = -l - 5*p + 60. Calculate the remainder when 199 is divided by l.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 79354056278691.\nAnswer: -79354056278691.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -64*n**2 - 9921*n - 156. Calculate h(-155).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmww. What is prob of sequence ww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h - 462 = -13*h. List the prime factors of -3 + (1263\/9)\/((-11)\/h).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*a + 4*a - 3*n, 0 = -4*a + 5*n - 20. Suppose a = 11*s - 5*s - 36. Is (-2694)\/18*s\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 155*c**5\/6 - c**4\/12 + 11*c**3\/2 + 1914*c**2. Find the second derivative of i(u) wrt u.\nAnswer: 3100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 12 = -10*u. Let c = -13 - -23. Calculate the lowest common multiple of u and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 5. Let n be z(-5). Suppose n = -3*k + 71 + 58. Suppose -k - 29 = -4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -4*o - 7\/5*o**5 + 5*o**2 + 0*o**3 + 11\/4*o**4 - 251. What is the second derivative of w(u) wrt u?\nAnswer: -84*u**2 + 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691316009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 - -247. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 1296?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 648, 1300, 1952, 2604, 3256?\nAnswer: 3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320*f**2 - 320*f**2 + 7*f**3 - 15*f**3 - 13*f**3.\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 6) in base 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43001 and 2191.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -2*h, -4*d + 9 = -3*d + 3*h. Suppose d = i - 2*a - 25, 6*i - 2*a - 149 = i. Is i at most 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, t: 5}. What is prob of picking 1 s and 1 t?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20314289*p**2 - 15166097*p wrt p.\nAnswer: 40628578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {t: 4, c: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121.3 and -251.64.\nAnswer: 30523.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbqqmu. What is prob of picking 2 m and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 9. List the prime factors of (2\/(-3))\/(s\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 11*f - 13*f. Calculate the greatest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*b**4 + 58 + 40*b**4 - 1196*b**3 + 1194*b**3 wrt b.\nAnswer: 220*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 24\/321067?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Suppose 0*a - 181 = -5*i - g*a, 2*a - 8 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(143)*-2 - sqrt(143))*5)\/((sqrt(176) - sqrt(176)*1 - sqrt(176))*-6) + -4.\nAnswer: -4 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s*s*s**11)*s\/s**(-2)*s)**(-4\/15) assuming s is positive.\nAnswer: s**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 16*o**2 + 16*o + 82. Give a(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -679 divided by 21\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 73, 88, -4, 2, 2\/3, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 1:54 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*p - 11, -5*p = 4*o - 19 - 14. Let y(i) = -i + 4*i - o*i. Let s(v) = -3*v. Calculate s(y(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3901253*v**2 + 2889902*v?\nAnswer: -7802506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -1369, -2275, -3201, -4153, -5137, -6159, -7225?\nAnswer: -8341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2051, -16379, -55261, -130973, -255791?\nAnswer: -441991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 3, p: 2, j: 1, u: 7, n: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4040*h**2 - 1845*h - 1847*h + 3692*h + 12777*h**3 wrt h.\nAnswer: 76662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (sqrt(72) - (sqrt(72) + 1)))*6)**2 + sqrt(72))*-5 + ((-2*sqrt(72) - sqrt(72)) + 2)**2*3 + -4.\nAnswer: -11188 - 2406*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + b**2 - 1. Suppose 2*j - 6*j = -2*r + 6, -r = 2*j + 1. Let w be x(j). What are the prime factors of w\/(-5) + (4672\/20 - -1)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -7. Let t(p) = -3*p**2 - 2*p - 1. What is t(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.27, -2.2 in increasing order.\nAnswer: -18, -2.2, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/10 + 1)\/((-5)\/(-150130)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*s + 20*s + 24*s)*(3*s - 3*s + 3*s)*(-s + s + s) + (-s**2 - 2*s**2 - 18*s**2)*(3 - 3 - s).\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d. Let t(u) = 29*u**2 + 27*u**2 - 59*u**2. Calculate t(w(a)).\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1335858\nAnswer: 5\/1335858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4063 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -324 + 482. Is q a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -4, -12220019?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2008 + 374. Does 24 divide (2 - 4)\/(4\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2307209454 to the nearest integer?\nAnswer: 48033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 33*i**2 + 4 - 14 - 27*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c + 3 + 20*c + 17. Let f be v(7). Suppose -2*b + 4*s + 0*s = -f, 0 = -b + s + 61. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833)*1*3)**2.\nAnswer: 126*sqrt(17) + 7506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by -83\nAnswer: -134\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -6302.\nAnswer: 19\/6302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 14*a**3\/3 - 9*a + 10. Let l(p) = -94*p**2. Determine l(j(i)).\nAnswer: -73696*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 8*a**2 - 14*a + 16. Let g be j(6). Suppose -2*c = 2*v - 608, -c + 1184 = g*v - 5*c. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084974 is divided by 166.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32155995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 5. Let b(s) = 3*s + 554. Let v(y) = -4*y - 664. Let i(u) = -6*b(u) - 5*v(u). Calculate 6*i(l) - 5*z(l).\nAnswer: 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 147. Let w = j - 91. Suppose w = 5*s - 17. What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -860*m**5 + 2*m**4 - 8*m**3 + 202098*m**2.\nAnswer: -51600*m**2 + 48*m - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*(sqrt(77) + (sqrt(77) - (sqrt(77)*2 - sqrt(77)))))\/(sqrt(11)*2*-4))**2.\nAnswer: -9*sqrt(7)\/2 + 207\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(((-360)\/(-2240))\/((-96)\/(-56)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 4*f + 4*f)*(1 + 1 + 2) + f + 3*f - 3*f + 41*f - 87*f + 7*f to the form s*f + i and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -22. Suppose -2*x - 2*f + 16 = 0, 2*x = 2*f - s*f + 21. Let m be 63\/6 + 2\/4. Solve x*p + m = 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/1*(70 + (-155700)\/2249)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, q: 5}. Give prob of picking 1 z and 1 q.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -13, -766306.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6071 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.69 + -0.09. Let z = 13.5 - 14.0997. Let n = g + z. What is n rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -12.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 959*y**3 - y**2 + 2*y - 14866 wrt y?\nAnswer: 2877*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-22) - (-12)\/44. What is the third biggest value in f, 0.3, -4, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027224459 rounded to 4 dps?\nAnswer: -0.0272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**4 + 5*u**4 + u**3 - 11 + 14 + u to j*u**2 + f*u**4 + a + g*u + w*u**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/18894 and 50\/27.\nAnswer: 170046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-20) + (2 + 75\/(-30))\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810110 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*253.\nAnswer: 27.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-121) - (-3056)\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllululll. What is prob of sequence lu?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 101*i - 609. Give h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times 4.81607\nAnswer: -2.889642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.56291607 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1027)\/9 - 36\/54. Let v = 258 - 373. Let x = o - v. Which is the third smallest value? (a) x (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -895476221*-0.4.\nAnswer: 358190488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -24*g + 6*g. Suppose g*p + 2 = -4*w, -5*w - 6 - 16 = -4*p. Solve p = -3*a + u - 5, 5*a + 18 = 4*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 40. Let w be -13003 - x\/(-6)*30\/(-25). What is w rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/38 - (105\/(-95) + 1). Differentiate 100*l**3 + 23 - 11*l**4 + w - 98*l**3 wrt l.\nAnswer: -44*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*w + 290, -l - 28*w = -29*w - 148. Suppose 5*b = -y + l, -4*b + 2*y + 3*y = -91. Solve -8 = -3*f - 5*o + b, o = -2*f + 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.9. Let l be (-27 - -4)\/((-6)\/8). Let m = l + -31. What is the nearest to g in 5, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 1456 = -32*a. What is the highest common factor of a and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7 - 13 + 90*j - 129*j.\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 28*k + 27*q - 26*q, -64*q + 132*q - 69*q + 26 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/2, 0, 0.5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 0*r + 5*r**2 + 2*r - r**2 - 1 - r**3. Let o be y(3). Solve o*w = 3 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -78*r**3 + 4*r**2 - 2. Let m(y) = 79*y**3 - 5*y**2 + 2. Give -3*m(u) - 4*s(u).\nAnswer: 75*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58\/7 - (-38)\/(-133). What is the third derivative of 2 + 3 - x**6 - n*x**2 - 5 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 4 (b) 2 (c) 4\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b**(-1\/11))**21*((((b**2\/b)\/b)\/b)\/(b*b**(-4)*b*b))**(-19) assuming b is positive.\nAnswer: b**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8737.674m?\nAnswer: 8737674000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66129707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m + 980. Calculate o(46).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {o: 5, i: 7, p: 3, l: 1, k: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17012\/5 + -16206\/5. Let g = -162 + r. Are 0 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481663 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**4 + 3*r**4 + 25*r + r**3 - 21*r as m + u*r + h*r**4 + q*r**2 + w*r**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 476\/136*6\/28*8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.144502?\nAnswer: 0.144502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61866, 61908, 61950?\nAnswer: 61992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z + 30*z = -21*z + 16*y - 21*y - 49, 0 = -4*z + 2*y - 48 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(2\/(-1)*(29 + -28)). Let h = 13 + -27. Let v = h + 19. Solve v*j + u*j + 25 = 2*y, y = -4*j - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2022732?\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2015 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1517, 1527, 1547, 1583, 1641, 1727, 1847, 2007?\n\"Answer: k**3 - k**2 + 6*k + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8794, -35062, -78834, -140110, -218890, -315174?\n\"Answer: -8752*w**2 - 12*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-9) - 1)*15. Suppose 93 = 5*c + 3*q, 0 = 2*c - b*q + 1 - 63. Suppose 3 = 3*r - c. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-35 + (-6601)\/(-184)).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - d)*(-3 + 0 + 2 + (3 + 0 - 1)*(5 - 2 - 2) + 2 + 0 + 0)*((2 + 0 - 4)*(2 + 3 - 4) + 1 - 1 - 2).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487889.\nAnswer: 1429, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(2\/8). Let m(y) = 8*y**3 - 2*y**2 + 9*y - 6. Let x be m(1). Let n be -3*(-2)\/(-6) + x\/6. What is the closest to n in 0.1, -3, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-48)*4\/3. Let r(a) be the first derivative of 4*a**3 + 0*a + 0*a**b - 9\/4*a**4 - 8. Find the third derivative of r(z) wrt z.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57465 and 0.5?\nAnswer: 57464.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102685 to four dps.\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**3\/k)\/k)\/k)**(-13\/2))**(-34) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 3) + (-12)\/2. Let m = b - -16. Find the second derivative of -11*r - 4*r + m*r - 3*r**2 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1681785 and 101080?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 - -39. Let g = 134 + -161.7. Let x = k - g. What is x rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.91 + -6.91. Are t and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/104 + 5 + (-477)\/108 + 8\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppppppupppppp. Give prob of picking 4 p.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7385)\/(-245) - 82) + 49.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25870687189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21916, -21921, -21926, -21931?\n\"Answer: -5*d - 21911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21945481.\nAnswer: 21945481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - -104. Let q = 228 - l. What is the remainder when 84 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y**2 - 8172*y - 1635 = 0 for y.\nAnswer: -1\/5, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j**3 + 5144*j**2 - 49860*j - 1976400 = 0. Calculate j.\nAnswer: -244\/17, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (218\/545)\/(((-4)\/5)\/(3\/(-2))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2953 divide 89558584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1286 + 1286.4. Let f = -4.1 - -4.1. What is the nearest to 0.3 in n, 0.3, f, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.035\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + t**2 + 5*t**2 + t**2 - 5*t**2 + (2*t**2 - 5*t**2 + 2*t**2)*(4 - 3 - 3) - 6*t + 0*t - 3*t**2 + 7*t.\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)*x)\/(x\/x**0))**(9\/2) assuming x is positive.\nAnswer: x**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = 3*p. Let h = 0.343 + 0.027. Let x = 0.03 + h. Which is the third biggest value? (a) 2\/13 (b) x (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(2 + 0). Let i(t) = t**2. Let q(s) = -21*s - s**3 + 7*s**2 + 23*s + 0*s**2 - 2*s**2. Determine l*q(a) - 5*i(a).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 39*o - 382. Determine h(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 584587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2701811 is divided by 166.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 5*n + 1. Let p be (0 - 3*-2)*3\/6. Suppose d - 5*d - p*b = 24, b = -2*d - 12. What is q(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eay when three letters picked without replacement from yaaeeeeyeyeeaeeeea?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 16*k**2 + k + 36. What are the prime factors of z(-11)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2989*m**6 - 25 + 10215*m**6 + 27171*m**2 - 27087*m**2 wrt m.\nAnswer: 867120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42a + 1?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 156.\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.4? (a) 445\/2 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46528512.\nAnswer: 2, 3, 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.05 - 3.05. Let i = 0.2 - -0.3. Which is the closest to 0.1? (a) r (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(110)*1 + -3*(sqrt(110)*-1 + sqrt(110) + sqrt(110))))\/((2*sqrt(100)*-1)\/((2*sqrt(110))\/sqrt(11))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.072 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 398746.4um to meters.\nAnswer: 0.3987464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 1.0292\nAnswer: -0.030876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2598506?\nAnswer: 2, 283, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1847*a - 42780 = 36641 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 19530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/57763 greater than or equal to -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6520\/652)\/(-1*10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.209 and -3.92.\nAnswer: -0.81928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-12))\/(5\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2 + 2*sqrt(125)) - 2*(1 + sqrt(125))*4)*6)**2 + 2.\nAnswer: 1440*sqrt(5) + 18146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 23. Let l(y) be the second derivative of 0*y**5 - 1\/75*y**6 + 0*y**4 - y + z*y**3 + 0 + 2\/105*y**7 + 0*y**2. Factor l(m).\nAnswer: 2*m**4*(2*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/7 of a week in hours?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -5, 249?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 18?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 700409819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnknnkkkoknkunuunuuu. What is prob of sequence knn?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 15 + -29 - -19?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -93 (b) -1 (c) -0.3 (d) 0.025\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let v(i) = -2*i**2 + 5*i. Let j(d) = -4*k(d) - v(d). Let m be j(-3). Solve -x = -c + 6, 3*c + x = 7*c - m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38261958, -38261965, -38261978, -38261997, -38262022, -38262053?\n\"Answer: -3*m**2 + 2*m - 38261957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/4*(-7790)\/25. Suppose 2*w = -3*k + 506 + i, -4*w - 3*k + 2579 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221078920 is divided by 59?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-6)*88\/154.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.97904 + -3.\nAnswer: -15.97904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k - 7540 = -90*k. What is the highest common divisor of 348 and k?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**4 - r**3 - r**2 + r + 1. Let a(w) = -9*w**4 + 24*w**3 + 27*w**2 - 6*w - 12. Let z(n) = a(n) + 12*s(n). Factor z(c).\nAnswer: 3*c*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13734700*o**2. Let n(v) = -2*v. What is f(n(z))?\nAnswer: 54938800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685241?\nAnswer: 29, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u + 1. Calculate g(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 2*v**2 + 3*v - 4. Let d(u) = -u**3 + u**2 - u + 1. Give -3*d(q) - g(q).\nAnswer: 5*q**3 - q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 474.6?\nAnswer: 475.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.7 * 1435.\nAnswer: -58404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 14*s**2 - 23*s - 8. What is x(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 2, m: 1, b: 2}. What is prob of sequence umb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 28467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 - 265866*l + 14613555 = 0.\nAnswer: 55, 88567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/(-8) - (0 - 3). Let c(h) be the second derivative of 0 - d*h**2 + 1\/6*h**3 - 2*h. Find the first derivative of c(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -8, -19, -52, -113?\n\"Answer: -l**3 - 2*l**2 + 18*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g - 319 = -84 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 27\/(-9)*(-2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110220 (base 3) in base 11?\nAnswer: 89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428556 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7647.268l to millilitres.\nAnswer: 7647268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n + 23*n + 890 = 26*n - 1024 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.1161m in micrometers?\nAnswer: 826116100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7900, -15813, -23726, -31639?\n\"Answer: -7913*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qujqqqqqqjujj. Give prob of sequence ujj.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32268357?\nAnswer: 3, 11, 325943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(14\/1)*(-26)\/(-13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2278 + -1811. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8294 = 33*h + 168*h - 11404. What is the highest common factor of 15974 and h?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23631?\nAnswer: 3, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 82. Let y be h(22). Does 2 divide 4 + (6\/(-7))\/(y\/(-126))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhr when three letters picked without replacement from {h: 4, g: 4, d: 6, r: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7711*z**3 + 5737*z**2 wrt z?\nAnswer: 46266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 4. Let l be 10*(1 + 7\/(-5)). Let o be s(l). What is the remainder when 30 is divided by 14 + o\/4*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 - 2 - 7*h + 17*h**2 + 2 - 48*h**2 in the form z + o*h + j*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 247*l + 119145. Calculate u(490).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, 4, 0.4, 1, 744, -0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 6179\nAnswer: -18537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b + 6. Let t(r) = 17*r - 4 - 6 - 3. Suppose -5*s + i = 35, 5*s - s = 2*i - 34. Let w(v) = s*t(v) - 13*c(v). Let p(y) = -y. Determine p(w(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7823 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m**3 - m**2 + 19*m**3 + 0*m**2 + 37*m + 32 - 38*m + 3 in the form l + b*m + u*m**2 + i*m**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 24831 - 24832. Let y(m) = 6*m**3 - 3*m**2 - 3*m - 1. What is y(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192426, 385440, 578454?\nAnswer: 771468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*a + 38, -7*i + 3*a + 36 = -4*i. Is ((-4067)\/(-14))\/(1\/i) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133418396.\nAnswer: 2, 33354599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2835056 is divided by 16200.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o + 66 + 0*o + 22*o + 12*o. Let t be w(-3). Which is bigger: -17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g. Let k(h) = -2*h**2 + 2268*h. What is q(k(r))?\nAnswer: 26*r**2 - 29484*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 25 = 5*s + 2*d, 3*s - d = 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3103875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**4 + 163*t**3\/3 - 1198*t - 6727. Find the first derivative of w(j) wrt j.\nAnswer: 12*j**2 + 326*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -255*n - 105*n + 110*n. Let p(x) = -3*x**2. Calculate p(h(l)).\nAnswer: -187500*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p**3 + 12*p**2 + 31*p + 6. Let f be s(-3). What is the greatest common factor of 102 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -50. Let i = y + 67. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 14. Let i(k) = -k. Let r(s) = 2*s**2 - 10*s - 2. Let f(a) = j*i(a) + r(a). Calculate f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -77 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.9, 5, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 62.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/50, 0, 0.0659 in ascending order.\nAnswer: 0, 3\/50, 0.0659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42886304?\nAnswer: 2, 509, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -137 (b) -46 (c) -879\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/12 + 2*t**3 - t**2\/2 - t. Let y be o(9). Suppose -y = 4*j - 86. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*c - 5*w + 12, 3*c + 27 = 3*w. Suppose -3*v = -3*i - 12, 2*v - 9 = i - 3. Let x(n) = -3 - v + n + 2. Determine x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (248225 + 3707*k - 248225)*(-4 + 4 - 2)*(-2*k**2 + 3*k**2 - 2*k**2).\nAnswer: 7414*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 13. Let h be ((-5)\/(-10))\/((-1)\/(-4)). What is the third derivative of 4*t - t**s - 3*t**2 - 4*t + t**h wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*a + 25, 2*r - 20 = -2*r + 4*a. List the prime factors of (36\/(-2))\/(-3) + r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102.5794 * 0.04\nAnswer: -4.103176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {h: 1, g: 1, j: 1, q: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15810738 and 254.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -562.3 - -562. Which is greater: -106 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257332 (base 8) to base 13.\nAnswer: 31b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 2. Let x be v(2). Suppose x - 2 = k. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**7\/105 - k**6\/15 - 7*k**5\/25 - k**4\/15 + 13*k**3\/15 + 7*k**2\/5 + 72*k + 8. Factor a(h).\nAnswer: 2*(h - 7)*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20474, 2175 in decreasing order.\nAnswer: 20474, 2175, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 21. Let u be c(5). Determine z, given that -14*z**2 - 18*z**3 - 2*z - 10*z + u*z = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*o + 129*o + 34*o + 4*o - o - o + (-2*o + o - o)*(0 - 5 + 3) - 4*o - 2*o + 5*o.\nAnswer: 150*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 20*a - 12. Solve -5*o - a*n + 7 = -5*n, n + 7 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05581 - 2.94419. Suppose -10 = -2*w - 2. What is the closest to 8 in w, a, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/320283 and 17\/84285.\nAnswer: 1601415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-18*110\/(-30))\/(-3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = 2*h, -2*h = -4*w + w + 16. Suppose 2*p - 8 = -w*g + 20, -4*g = -3*p + 49. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345250007 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18970173 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 50*w - 79. Let y be i(-14). Which is the fifth smallest value? (a) -0.05 (b) y (c) -6\/7 (d) -4 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 31*j**3 - 9*j + 9*j to u + w*j**2 + t*j**3 + o*j and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(280)\/sqrt(7) + sqrt(40) + sqrt(40)))\/sqrt(10)*3)\/(4*sqrt(288) + sqrt(288) + (sqrt(2) - (sqrt(14)*-1)\/sqrt(7))).\nAnswer: 18*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 824352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/117 - (-417)\/78. What is the third biggest value in 0.1, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/324 - (7\/112*4)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xryxrarrlryjyrl. What is prob of sequence lrxy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 92*s**2 + 1655*s + 1564.\nAnswer: (s + 1)*(s + 23)*(s + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.01 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/3 + 47552*u**2 + 95103*u + 142654\/3 = 0?\nAnswer: -142654, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 2. Let x(j) = j**3 + 15*j**2 + 15*j + 11. Let d be x(-14). Let h be 2 + 0\/(4 + d). Sort 4, n, h in decreasing order.\nAnswer: 4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 0) - (1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*b + 91*b = -36. Suppose 25 = -b*i + 625. What is the highest common divisor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1151 and 0.14.\nAnswer: 161.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 16\/24)\/((-4)\/1434)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 7*n - 6. Let k be q(-6). Suppose -5*y - 6 = -26. Suppose -y*u + 144 + 76 = k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*v - 15 = -2*k, 2*v = -4*k - 353 + 383 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.27161751 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 11337048.\nAnswer: 11337050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(27) + 0 - (sqrt(3) + (sqrt(3) + 2*sqrt(3))*-6)) + -3)**2)*-2.\nAnswer: -2412 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 8313*r**3 + 7451991*r**2 + 2127035055*r - 4283944626 = 0. What is r?\nAnswer: -1081, -611, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o - 3*o + 60256. List the prime factors of o.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 32*s\/3 + 11\/3.\nAnswer: -(s - 11)*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-2\/7)*l)*l**(6\/11)*l*((l*l\/(l\/(l**(3\/7)*l))*l)\/l)\/(l**8\/l*l*l) assuming l is positive.\nAnswer: l**(-365\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 31*v - 534. Determine g(19).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**2)\/z*z)**6*(z*z**(1\/7))**(4\/19))**(3\/40) assuming z is positive.\nAnswer: z**(3639\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*b = 4*k - 35, k + b = 10. Solve -k*p - 3*x = -19, -2*x + 3*x = -p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -7.589, -2?\nAnswer: -7.589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4160, -0.3, 5, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 3*v**2 - v + 3. Let u be h(3). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**10\/u)\/u**(9\/4))\/(u*u*u**(-1\/9))**(-2\/17))**(-8\/7) assuming u is positive.\nAnswer: u**(-502\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:04 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**16\/l))\/((l**(-1\/28)*l)\/l*l*l*l))\/(l*l\/(l**(-3\/4)\/l))**(-28) assuming l is positive.\nAnswer: l**(2437\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16570, 33608, 50636, 67654?\n\"Answer: -5*o**2 + 17053*o - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.127 in 0.014, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 - 603327*o**3 - 206782*o**2 + 16 wrt o.\nAnswer: 24*o - 3619962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124052 and 4360.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9190 (b) -14 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 294 and 1428.\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 13*n - 101, -5*n - 340 + 383 = 4*i for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57)\/(-6) + (-1)\/(-2). Suppose 3*a - b = 29 - z, 3*b + 8 = 2*a. Calculate the lowest common multiple of 10 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 - 599*j - 592*j + 1187*j in the form i + o*j and give i.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(270\/8)\/5. What is the common denominator of 1022\/180 - (-12)\/j and -95\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41085 is divided by 17834.\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**4\/4 - w**3\/6 + w**2 - 3*w - 1. Let y(m) be the first derivative of c(m). Is y(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 80*j**2 + 3588*j. Let f(t) = 27*t**2 + 1195*t. Let d(c) = -17*f(c) + 6*i(c). Find the second derivative of d(p) wrt p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/60*-5 + (-986)\/(-6). Let w = 373 - c. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 7*u + 4. What are the prime factors of 56\/3*(-1 + 2 - u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 67*n + 32. Determine i(22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6370?\nAnswer: 2\/3185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((1\/2)\/(1\/4)). Suppose -v*q + 1214 + 1040 = 0. Suppose 3*k + r = 672, 0*k - 4*r = 5*k - q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -50*m + 185 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 164738? (a) -2\/23 (b) -2 (c) 6 (d) -2\/5 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 divided by 134.\nAnswer: -159\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*c**4 + 37*c**2 + 2284*c + 85881.\nAnswer: 48*c**3 + 74*c + 2284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91909327.\nAnswer: 17, 19, 31, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*g**2 + 14*g**2 + 212*g**2 in the form t*g + z + j*g**2 and give j.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.88 + -9.08. What is the nearest to n in -5, 22, 4\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -38. What is the greatest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8925 and 459?\nAnswer: 80325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 13*b**2 - 47*b + 18. Determine q(6).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90509696 and 270976?\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48088346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 1582 - 1580 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. Suppose -c + 5 = 0, -c + 35 = x*r + c. Suppose r*i + 11 = 21. Solve f = i*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 0, 2*h + 2*g + 2*g - 8 = h. Solve -6 = -3*n, 4*c + 5*n = h*n + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 19, j: 1}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3073357.\nAnswer: 7, 67, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 + 6322?\nAnswer: 6225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 2, p: 5, q: 6}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(((-17)\/68)\/((-9)\/24))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9787596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -1600, -0.4, 1\/3, 30, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 2*z. Let t = -146 - -149. Give m(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/4 and -99\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*j - 391419 - 700681. Is 163 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1180, -2355, -3476, -4537, -5532, -6455?\n\"Answer: d**3 + 21*d**2 - 1245*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 2*i**2 + i - 1. Let m be q(2). Let t(r) = -4*r**2 + 37*r - 7. Let f be t(9). Is ((-818)\/(f + -4))\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 5 - (sqrt(57)\/sqrt(3)*-4 - sqrt(19)).\nAnswer: 5 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**10)**(-21)\/(c**7)**31)**(-11\/4) assuming c is positive.\nAnswer: c**(4697\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 145*f**2 - 2*f - 5. Let g(y) = 2*y**3 - 142*y**2 - 6*y - 5. Let h(d) = -2*g(d) + 3*l(d). What is the second derivative of h(x) wrt x?\nAnswer: 12*x - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -33?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-158)\/(-22) + (-24)\/132. Solve 2*c + 11 = -3*k, 5*k - 2*k - 2*c + j = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from yydutydtytyytd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/(22\/33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11536075687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3*a + 242, -a + 148 = -203*h + 402*h - 196*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:05 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 89877 = -8*r - 99543. Is r a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**12*b*b*b)\/b)\/(b**(5\/7)*b))**(1\/15) assuming b is positive.\nAnswer: b**(31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**6 - m**4 - 18595*m**3 + 207929*m**2 wrt m.\nAnswer: 1080*m**3 - 24*m - 111570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 4. Let a be y(0). Let c be (-2)\/(6\/(-36)*a). Factor 147\/4*q**4 + 63\/4*q**3 - 18*q**2 + c*q + 0.\nAnswer: 3*q*(q + 1)*(7*q - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 30*v**2 + 480*v - 1120.\nAnswer: -5*(v - 4)**2*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 7:34 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (320\/400)\/(7\/(-280))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, -5, -1 in descending order.\nAnswer: 5, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -104, -208, -310, -410, -508?\n\"Answer: b**2 - 107*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12*s**2 + 369*s + 59. Let d be l(31). Are d and 16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 9*p - 2. Let m be p\/((-280)\/55 + 5). Let x(b) = 8*b**2 + 10*b - 5. Is x(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = 6*j - 160 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2195, 2212, 2253, 2330, 2455, 2640?\n\"Answer: 2*s**3 + 3*s + 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -27*u. Let p be z(-6). Suppose -3*c = -p - 24. Suppose 4*q = 4*y - 104, 2*q + 10 = -2*y + c. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2505351 (base 6) to base 13\nAnswer: -48955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-9)\/(-15)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 805021.1 minutes?\nAnswer: 48301266000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10)\/(-160) + (-2)\/1 and (-18)\/(-4)*11\/30?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 divided by -196?\nAnswer: 155\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -18*d - 6. Let o be z(-5). Let t be -3 + (-24)\/4 + 4 + 40. What is the greatest common factor of o and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -94, -124 in ascending order.\nAnswer: -124, -94, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -2\/21 (c) -25.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 139. Let c = d + -43. What is the least common multiple of 32 and c?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**3 + 17*r**2 - 3*r + 20. Suppose -4*a + 11 = 2*h + a, -5*h = 4*a - 19. Let j(s) = s**2 - s + s**h - 3*s**3 + 7 + 5*s**2. Give 6*i(q) - 17*j(q).\nAnswer: -2*q**3 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 5*w**2 - 5*w - 4. Let z be r(-2). What is the common denominator of z + (12\/(-54))\/(2\/(-102)) and -93\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-24*((-1023)\/(-31))\/33.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993599143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -3*a**5\/20 + 3*a**4\/4 + a**3\/2 - 9*a**2\/2 + 22*a. Factor v(f).\nAnswer: -3*(f - 3)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -10*o + 4*h - h, 4*o + 25*h - 5*h = 7*h + 9*h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*y = 61*y + 60. Solve 14 = y*i - 3*g, -5*i - 4*g + 36 - 3 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -y - 6, 5*y - 22 = 2*y - 2*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 415*i**2\/2 - 1657*i\/4 - 207.\nAnswer: -(i + 1)**2*(i + 828)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 9*a - 5*a + 0*a. Let f(i) = -4*i. Determine f(l(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27935 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -78, 52, 13 in decreasing order.\nAnswer: 52, 13, 5, 2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001208 to 6 dps.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 4, -15*p - 2*h = 14*p - 31*p - 20 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.820666 decades to centuries.\nAnswer: 0.2820666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f**4 + f + (52*f - 8*f**2 - 52*f)*(f**2 + 2*f**2 - 4*f**2).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 301 and 2520?\nAnswer: 108360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdk when three letters picked without replacement from dzkdzddkd?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 plus 1.07466?\nAnswer: -0.32534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 - v**4 + v**4)*(-3*v + 2 - 2) - 8*v**5 + 33*v - 33*v.\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 690184127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/(-65) - (-21)\/35. Let l = -2 + 2. Is l at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1984800 * 1.82.\nAnswer: 3612336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1695096 + 57.61?\nAnswer: 57.4404904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203 and 14687601.\nAnswer: 102813207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196582.\nAnswer: 2, 227, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4453390 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1480001*p - 1. Let n be v(1). Round n to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4893, -9714, -14505, -19266, -23997, -28698, -33369?\nAnswer: -38010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1359.9 - 1369.9. Put 0, s, 1, 1\/2, -2\/17 in descending order.\nAnswer: 1, 1\/2, 0, -2\/17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92869, -185977, -279085?\nAnswer: -372193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-6*2*sqrt(72))**2)*-4 + 4 + 4)*3.\nAnswer: -124392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14613, -60004, -135655, -241566, -377737, -544168?\n\"Answer: -15130*l**2 - l + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -1\/9 (c) -0.1 (d) 14 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126.2 + -126. What is the second smallest value in 4, h, -2\/13, 64?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070526 is divided by 356838.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.8. Let w(j) = -j**3 - 4*j**2 - 6*j - 2. Let z be w(-2). Let o be z\/90*3*(-10)\/(-4). Which is the closest to 0? (a) o (b) g (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.688 (b) 27.7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4304*p + 86081. What is h(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 633*r**2 - 2616*r - 390. Calculate h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 425448152, 425448154, 425448156, 425448158?\n\"Answer: 2*s + 425448150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5504 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 324 + 306 = -10*s, 2*r + 10 = 0. Which is smaller: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.94 + 0.06. Let m = -51258 - -51257. Which is the closest to g? (a) 0.1 (b) -6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19910*i**3 - 13039*i**3 - 12730*i**3 + (-i + i + i**3)*(3 + 3 - 4) + 0*i + 0*i + i**3.\nAnswer: -5856*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 11:49 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338, 1780, 5396, 12266, 23470?\nAnswer: 40088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 427*l + 429*l = 24, -4*z - 76 = -4*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36023388 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/7)\/l*l\/l**(-21) assuming l is positive.\nAnswer: l**(146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(sqrt(5)*3) - sqrt(50) - sqrt(1250)*-3)\/((sqrt(80)\/sqrt(72) - sqrt(10))*-6).\nAnswer: 43*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17404, -17431, -17454, -17473, -17488, -17499?\n\"Answer: 2*q**2 - 33*q - 17373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd93 (base 15) in base 12?\nAnswer: -21263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -1349\/2*d**2 - 12*d + 4. Let h be a(12). What is h rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78840*c**3 - 7*c - 3950 wrt c.\nAnswer: 473040*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9702 + 26196 = -386*h for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (-2 + -2 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155 (base 6) in base 14?\nAnswer: -395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*l**3 - 21*l**3 - 13 - 10*l**3 + 38*l**3 + 5 to w + s*l + r*l**2 + y*l**3 and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -b + 5 - 0, 0 = -b + 2. Let f be 5 + (-10)\/(-15)*6. Let a be (264\/18)\/(1*12\/f). Solve 4*v = -n + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753179.\nAnswer: 3, 584393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-180)\/16 - 3\/(-12). Let a = -9 - w. Let o(j) = 5*j**2 - 2*j. What are the prime factors of o(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1035 and 143659173?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -0.1. Let s = 100 - 112. Let q(d) = 2*d**2 + 23*d - 15. Let h be q(s). What is the nearest to v in -2, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-24)*(-81 + 10) - 3\/(-4). Let t(d) = -2*d**3 - 37*d**2 - 49*d + 30. Determine t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -196 + 159868?\nAnswer: 159682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190\/100*(-588)\/(-2793).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 0.06. Let m = u - -2.95. Let o = m + -2.993. What is o rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*0\/(-9). Solve 3*h - h = o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + -6)\/(6\/(-594))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637121 is divided by 317680.\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h - 13*h**2 + 3*h - 5*h - 6*h in the form w*h**2 + u + v*h and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 9941913.\nAnswer: 19883826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7*p = 336. Suppose -4*f - 22*f + 1034 = -526. Calculate the smallest common multiple of p and f.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*v - 4, -11*d = -2*v - 6*d - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**2*s + 1292687*n**2 - n*s - n + 130*s + 11 wrt n?\nAnswer: -4*s + 2585374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.264867 * -2.\nAnswer: 70.529734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67446124 divided by -16861531?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -229614 and -229612 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53898 and -245.\nAnswer: -13205010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-12)*-1 + 3\/3. Let k be 1 + (2 - 0)*1. What is the third biggest value in -2\/7, m, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 - (-6 + (-8 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7496 * -0.07.\nAnswer: 524.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 9*f**2 + 12*f - 15. Let t be j(10). Suppose -151 = -12*d - 9*d + 374. Solve 0 = -t*q, -6*n + n + 2*q = -d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w + 127 + 178 = 11 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-30) + 1*(-6)\/(-45). Which is the third smallest value? (a) d (b) 13 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/4*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(143)*1)\/(2*sqrt(33)\/sqrt(3)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -20*p + 7. Let y(q) = -19*q + 6. Give 4*o(d) - 5*y(d).\nAnswer: 15*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15*(1 + 4). Let f(y) = -5*y**2 - 324*y + 2 + 0*y**2 + 7*y**2 + 323*y. Calculate f(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4771058mm to meters.\nAnswer: 0.0004771058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1287291 and 19371?\nAnswer: 14160201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 62 + 28. Which is the second smallest value? (a) -21 (b) g (c) -3\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -5\/3*j**3 + 0*j**4 + 3\/7*j**7 + 0*j**6 + 0*j + 0*j**5 + 6 + 0*j**2. What is the third derivative of h(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 49 + 43 = -7*a. Let o = -7 - -15. Let y = 12 - o. Calculate the highest common factor of a and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(5\/8)\/((n\/n**(-2\/9))\/n**(-2\/7))*(n\/(n*n**(-3\/7)*n))\/n**1*((n*(n\/((n**1\/n)\/n*n)*n)\/n*n)\/n)**(2\/29) assuming n is positive.\nAnswer: n**(-33857\/14616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7445\/21 - -355. Factor i*f + 2\/21*f**3 + 8\/21*f**2 + 4\/21.\nAnswer: 2*(f + 1)**2*(f + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(560)\/(-4*sqrt(10)))\/(sqrt(288) - (sqrt(288)*-3 + sqrt(288))).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -11, 2\/3 in ascending order.\nAnswer: -11, 6\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 - 0.02. Let k be (-36)\/15*(-35)\/(-2). Let d = 165\/4 + k. What is the biggest value in d, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nndnsffhssdz. What is prob of picking 1 n, 1 f, and 1 h?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10213023231101 + -10?\nAnswer: 10213023231031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from wnwnqwnnwqwwnqwnqrnw.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -249*j - 3253. Calculate l(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00103965031 rounded to six decimal places?\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -103881*q**2 + 14*q - 13*q + 108210*q**2 in the form h*q**2 + x + f*q and give h.\nAnswer: 4329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -22*f**2 - 15*f**2 - 1 - 4 + 41*f**2 - 5*f. Let p(c) = c**2 - c - 1. What is -3*m(y) + 15*p(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59315332 greater than 59315334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 25 - (29 - (-2 - -4)) - 14.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*u + 12 - 592. Let q(z) be the first derivative of -z - 1\/10*z**5 + 1\/2*z**3 + 1\/4*z**2 + u - 1\/8*z**4. Factor q(o).\nAnswer: -(o - 1)**2*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(1 + sqrt(1088) - sqrt(1088) - sqrt(1088)))**2*-4*-6.\nAnswer: -470448 + 6912*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3577 + -3577.4. Let t = -0.01 + -0.09. Which is the nearest to -1? (a) 0 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-28)\/(-1827)) + (-5 - -8). Calculate the greatest common factor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/2*(5 - -1). Suppose w*f - f - 3248 = 0. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46459722.9 to the nearest 1000000.\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -7. Suppose -5*o + 15 + 0 = 0. Suppose o*l - 234 = -3*l. What is the remainder when l is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 + 259. Sort -4, -11, 3, q in increasing order.\nAnswer: -11, -4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 14 = -2*w. Let c(p) = 6*p**2 + 7*p + 53. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, n: 1}. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from {z: 3, f: 2, a: 1, e: 8, b: 5}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -447 - 3?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3606593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, d: 3, o: 2}. Give prob of picking 2 a and 2 o.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/9)*h**(-43)*(h**(2\/21)\/h)\/h**11 assuming h is positive.\nAnswer: h**(-3487\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1\/51 (c) -0.5 (d) -1 (e) -6 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2147 to the nearest 10.\nAnswer: 2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/11733916 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/(-16))\/(-19) - 5049\/(-5676).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*h + 479 + 862 + 349 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*q + 88 = 0, -1692*q + 1688*q - 32 = -n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -10. Let r(s) = -s**3 - 27*s**2 - 25*s + 26. Let c be r(-26). Is c greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101001110001 (base 2) in base 12?\nAnswer: 3b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 9*h - 9*h - h. Let k(x) = x**2 + 5*x. Let g(w) = 5*b(w) - k(w). Let i(n) = 16*n**2 - 6*n**2 - 22*n**2. What is g(i(s))?\nAnswer: -144*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (15 - 10) - -16) + -6 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1 - 5 - 3 + 4*l. Let j be (-814)\/1221*21\/(-2) - (-1 + 1). Give t(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a factor of 3734784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 + 1036*n**4 + n**2 - 902*n.\nAnswer: -120*n**2 + 24864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31 and 1.163.\nAnswer: -29.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 49*p**5\/60 - p**4\/8 + p**3\/3 - 6*p**2. Suppose -5*q + 15 = 0, -4*j + 11 = 4*q - 5. Is c(j) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 109.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-26)*(-12)\/9*1*2*-10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8 + 0*g + 12*g**2 + 4*g - 3. Suppose -3*h - 8 = h. Let z be t(h). Solve -4*b + 3*x = -0*b + 35, -z = 5*b - 4*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 2\/3*l**3 - 5*l**2 - 1\/24*l**4 + 0*l + 0. What is i(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-2)*r\/(((r\/((r\/(r\/(r\/(r\/r**0))))\/r)*r)\/r)\/r*r))**(-26))**(2\/5))**(-8) assuming r is positive.\nAnswer: r**(832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*v + 11. Let n be (-6)\/(4 - v) - -2. Suppose 4*a = -4*x - 12, -2*a - 63 = -2*x - 65. Put 3, a, -3, n in decreasing order.\nAnswer: 3, a, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/12 + n**4\/12 + 5*n**3\/6 - 2*n**2. Let s(c) = c**2 + c + 1. Let k(o) = -4*s(o) + v(o). Factor k(b).\nAnswer: (b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 56. Let x(s) = 9*s - 113. Let g(j) = -5*a(j) + 3*x(j). Let h be g(9). What is the fourth smallest value in h, 1, -3, -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a**2. Let t(c) = -203 + c**2 + 203. Give z(t(n)).\nAnswer: -11*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 0 - 148*t + 95*t**2 - 185\/6*t**3 - 5\/12*t**4. Factor o(b).\nAnswer: -5*(b - 1)*(b + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 4. Let a be r(-5). Let w = a - -5. Suppose 0*m = -m - w. Are m and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76135\/8 - 9514. Suppose -5*r + 2*r + h = -10, -2*h = 2. Is t greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 712 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 734*a**2 + 2194*a + 13. Give x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.768 - 0.268. What is the second biggest value in -0.3, w, -0.1, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)\/sqrt(11))**2 + -3 - 5*(-4 + sqrt(11)))*1.\nAnswer: -5*sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*q + 2*q = 95, 5*c + 5*q - 200 = 0. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42324241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 - 6*q + 4. Let i be m(6). Suppose -2*w + w + 1 = -2*u, 0 = 5*w - 25. Suppose -u*h = -h - i. Solve 2*g - 6 = h*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(4\/96*4). Suppose 5*k = -3*p - 14, 3*k - v*k - 2 = p. Is p at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, v: 9, o: 2}. Give prob of sequence nvo.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -107*d**8\/336 - 11*d**7\/210 - 7*d**5\/15 - d**4\/12 - 11*d**3\/3 + d**2 + 129. Find the third derivative of r(n) wrt n.\nAnswer: -6420*n**2 - 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 8.708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 1a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:54 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278\/11 or 24?\nAnswer: 278\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-10) - (-1168)\/160. Let w(d) be the second derivative of -d**3\/6 - 24*d. Determine w(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*v - 15 = 0, -3*v = -5*i + 2*v + 5. Let j be i\/(-4) + (-15045)\/(-12). Let o = 963 + j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + (3 - (4 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22536889.\nAnswer: 22536889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12*l**2 + 3*l + 8. Let t(m) = -35*m**2 + 8*m + 23. Let d(a) = 6*t(a) - 17*w(a). Let y(q) = 5*q**2 + 2*q - 2. Give -3*d(j) - 4*y(j).\nAnswer: -2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -2\/5 (c) -0.3 (d) 5 (e) 2\/419\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.7 - -4.3. Let t be (728\/119 - 6)*17. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g + 3. Let l be o(-3). Let u(v) = -2*v**2 + 7*v + 1. Let y be u(l). Which is the biggest value? (a) -0.03 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/16 and 111\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000380205 to 6 dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.46486982 rounded to two decimal places?\nAnswer: 4.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 2\/3 (b) 17 (c) -0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2090, -4221, -6338, -8435, -10506?\n\"Answer: j**3 + j**2 - 2141*j + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 170, -2, -15, -42, -4 in ascending order.\nAnswer: -42, -15, -4, -3, -2, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -1. Let b(s) = -s + 4. Let z(n) = b(n) + 2*h(n). What is z(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from bhhbh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 4, 207, -1, 3, -15 in descending order.\nAnswer: 207, 4, 3, -1, -5, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 + f**4\/2 - f**3\/3 + 7*f**2\/2 + 6*f. Let i be y(7). Let r = i + 78. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c**(3\/4)*c)))\/(((c**(-2)\/c)\/c)\/c)*((c*c*c**(-5))\/c)\/(c\/((c**(2\/17)\/c)\/c)) assuming c is positive.\nAnswer: c**(127\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -1431*i + 1436*i - 15, -2*j = 4*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -30, -91, -152, -213?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210599.\nAnswer: 210599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18150*y**3 + 18149*y**3 + 4 - 3 - 33*y**4 + y to the form b*y + o*y**4 + u + h*y**3 + j*y**2 and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 252 = -0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25573 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*j + 4*j**3 - 45*j - 2*j**3 + 3 + (0*j**3 + 3*j**3 - 2*j**3)*(-2 + 2 + 2).\nAnswer: 4*j**3 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/(((-64)\/(-10))\/(-8))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1aa69 + 27?\nAnswer: 1aa94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -40, -63, -88, -115, -144, -175?\n\"Answer: -f**2 - 18*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/4))**(-17))**(-35) assuming b is positive.\nAnswer: b**(-1785\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*h + 4. Let n be 1 + 2 + (-1 - -2). Suppose n*u = c - 22, 5*c - 2*u = -2 + 22. Solve 4*g = 2*t + 22, h*t - 5 = -c*g - 0*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5\/3 + 10*m**4 + 65*m**3\/3 + 20*m**2 + 20*m\/3.\nAnswer: 5*m*(m + 1)**2*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1862 and 2014?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1983)\/18508)\/((-25)\/(-210)).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(176) - sqrt(11)) + 0)*6.\nAnswer: -4 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 7*p - 11. Let b = -10 - -18. Let u be v(b). Let f = 4 + u. Does 3 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 8:11 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10000000 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -128?\nAnswer: 29\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d. Suppose 2*v - 2 + 6 = d. Let q = 1 - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 9*o**2 + 24*o + 6. Let k be 4\/28 + (-304)\/(-28). Let a be z(k). What is the highest common factor of 70 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 17*g**2 - 29*g + 16. Calculate z(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 34. Solve p*y + 6 = 3*d + 23, 22 = 2*d + 5*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2. Let c(i) be the second derivative of 3*i + 0 + 1\/2*i**2 - 1\/6*i**3. Let b(s) = -s - 1. Let o(x) = b(x) + c(x). Determine o(d(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15842 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*l**4 - 19296*l**2 + 21613871*l wrt l?\nAnswer: -636*l**2 - 38592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btbbjsrjbs. What is prob of sequence bbjb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -187 - 6?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*v = 6, g - 5*v - 19 = 6. Calculate the greatest common factor of 20 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*q**2 + 3980*q**2 + 4424*q**2.\nAnswer: 8862*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6613620 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 136.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - 15485\/36. Let p = o + 429. Calculate the common denominator of p and 87\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6315.78 - 6316. Let o = 0.1 - 0.4. Sort 3, q, o in descending order.\nAnswer: 3, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/90812943 and 76\/45.\nAnswer: 454064715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77885610 divided by 10.\nAnswer: -7788561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -44713, -44771, -44831, -44893, -44957, -45023?\n\"Answer: -s**2 - 55*s - 44657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38287\/84 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-627)\/(-12) - 3\/(-4). Suppose -4 + f = -u. Does 3 divide (24\/(-7))\/(7\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -470846 or -470815?\nAnswer: -470815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(2\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 104845000 to the nearest 1000000.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1155 and 99249810.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1498 and 96817?\nAnswer: 20718838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 10*n - 30 + 0*n.\nAnswer: -10*n - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95809 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {v: 4, i: 2, l: 8, a: 2, m: 2, p: 1}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624236?\nAnswer: 2, 3, 135353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2068400 in decreasing order.\nAnswer: 5, -3, -2068400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*h*t + 370*g**4*t + 5*g**3*p + 865*g**2*h - g**2*t + 3*g**2 - g*p wrt g.\nAnswer: -48*g*h*t + 8880*g*t + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1464 - -2106. Let x be o\/55371*(4067\/(-62) + 3). Let k = x - 1\/36914. Calculate the common denominator of k and 1\/2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -3247237.\nAnswer: -3247236.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = -4*w, -3*w = -2*m + 2*w + 2. Let y(f) = -f**3 + 6*f**2 - f + 5. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 22 in ascending order.\nAnswer: -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(99)*-1 + sqrt(99) + sqrt(99))\/(sqrt(45)\/(1*sqrt(5))) + 0)*3.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5812 - -487?\nAnswer: -5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 4 - -9) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, 3, -30, -3 in decreasing order.\nAnswer: 164, 3, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -283*u + 838 - 838 in the form m + h*u and give h.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*d + 66, 4*h - 2*h - 141 = 5*d. Let l = -80\/3 - d. Let o = -193 - -1347\/7. Which is the third smallest value? (a) -1\/5 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 112*u**2\/3 - 118*u\/3 - 76.\nAnswer: 2*(u - 2)*(u + 1)*(u + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6109, 49500, 167277, 396634, 774765, 1338864, 2126125?\n\"Answer: 6199*w**3 - w**2 + w - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3135286, 6270661, 9406036, 12541411?\n\"Answer: 3135375*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 37*a**2 - 5. Let i(r) = -179*r**2. Calculate y(i(k)).\nAnswer: 1185517*k**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 64.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -1, 7 in ascending order.\nAnswer: -1, 7, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6325?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 18 = -18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62815 + (7 + 0)*30\/105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + -9 + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1261 + 6929. Calculate the remainder when u is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119344 and 8.\nAnswer: 119344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2 + sqrt(19) - (sqrt(19) + -1*sqrt(19))**2*-1) + (sqrt(171)*3 - sqrt(57)\/sqrt(3)*-1).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/3696 and 47\/14.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from kknkkkknkknnknknn?\nAnswer: 35\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*x**2 - 83*k + 1197*x**2 - 3*x wrt x.\nAnswer: -2*k + 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + d = -1 - 9, -v = -5*d + 22. Let m = -39 + 40. Let p be 4\/3*v + m. Solve t + 15 = 4*r - r, -p*t - 19 = -r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 26*t - 291. Let b(z) = z**3 - 10*z**2 + 12*z - 33. Let r be b(t). Which is smaller: r or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141395 * -13.1\nAnswer: -1852274.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*j - j + 2 - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 255 + 9. Let v = 93 + -156. Let p = v - m. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 - 12*w + 8.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 - u - 5. Let v be a(0). Let n = -40 + 22. Let z = n - -22. Sort v, 2, z in ascending order.\nAnswer: v, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -625 - 12109862.7194\nAnswer: -12110487.7194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002514 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 66*g + 297. Let t be p(-4). Solve -t*o = -75 - 57 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468515.\nAnswer: 5, 93703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 + j**4\/4 - 13*j**3\/6 + j**2 - 40. Calculate k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86630 divided by -5?\nAnswer: -17326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.11 (b) 5 (c) 74.17 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.63 + 22.37. Let x = -23.00137 + j. What is x rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 4. Let k be t(5). Let o be (-60 - 24543\/(-405))*40\/942. Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(136)\/((2*sqrt(88))\/sqrt(11)))**2 - (sqrt(2448)*-1 + -1 + sqrt(2057)).\nAnswer: -sqrt(17) + 37\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o = -120*o + 73511. What is the greatest common divisor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3, 9\/5, 4 in increasing order.\nAnswer: 1\/3, 9\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128.3 + 127.54. Which is the third smallest value? (a) 8 (b) 1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*x - 378 = -3*u, -3*x + 4*u + 156 = 0. Solve -62*f - x = -47*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43514633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 11*u - 288 = 0. Suppose u*j = 49*j - 56. Suppose 53*f = j*f. Solve l + 4 = -f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161692553.2 rounded to the nearest 1000?\nAnswer: 161693000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19 - 4*4\/(-8). Let f = 21 + k. Let p be (-1)\/((-2)\/(-10)*1). Which is the third smallest value? (a) p (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58694*a - 58694*a + 8 = 2*c, 2*a = 4*c - 34 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 17*x + 4. What is the tens digit of -3 - -215 - (2 - (-2)\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from himooil. What is prob of picking 1 o, 1 h, and 1 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 13)\/(-8)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = -5. Let l(i) = -97401*i + 8. Let n be l(f). Suppose 4*r = 4*o - 2839984, -2*r - n = 4*o + 835602. Round r to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -18*a**2. Let w(v) = 476*v - 1. Calculate w(g(z)).\nAnswer: -8568*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19614864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.3, 43, -1\/2, 4\/9, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 20664*u + 20782*u + 336 - 670.\nAnswer: 118*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73.7 + -73.9. What is the nearest to -1 in -1, a, 1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341 is divided by 3330.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6389, 12775, 19161, 25547, 31933, 38319?\n\"Answer: 6386*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -20*r - 1\/10*r**5 + 1\/3*r**3 + 0 + 3\/2*r**2 + 1\/30*r**6 - 1\/3*r**4. Factor p(m).\nAnswer: (m - 3)*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpoca. What is prob of picking 1 h and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-1\/2)\/u*u*u\/(u\/(((u\/((u*u*u*((u*(u*(u*u**5)\/u)\/u)\/u)\/u)\/u)*u)\/u)\/u))*(u*(u\/(u\/((u**34*u*u)\/u)*u))\/u)**(8\/9) assuming u is positive.\nAnswer: u**(445\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -31 + 17. Let z(a) = 9*a**2 - 5*a - 5. Let m(c) = -5*c**2 + 3*c + 3. Let l(s) = s**2 - s - 1. Let b(t) = -2*l(t) - 2*m(t). Give r*b(i) - 6*z(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijti when four letters picked without replacement from ijjjtijtj.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.791 + -0.158452.\nAnswer: -0.949452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + u + 1. Let g(x) = -10*x**2 + 8*x + 11. Let v(n) = -22*a(n) + 2*g(n). Let q(d) = d**2 - 3*d. Let s(m) = 10*q(m) - 4*v(m). Calculate s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 8*q - 4. Let d be h(1). Which is the closest to -2? (a) 3\/5 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30993576 * 12\nAnswer: 371922912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.440384 - 2.44. Round h to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - 80)\/(9\/6 - 2). Calculate the highest common divisor of 138 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8 + (40\/32 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83849579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 3)\/((42\/12)\/7). Let g be (z\/14)\/(8\/(-28)) + -1. Is 1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -110, -4, 5, 4, -3, -92 in increasing order.\nAnswer: -110, -92, -4, -3, 4, 5, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -613, -454, -199, 152, 599?\nAnswer: 1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 5076890?\nAnswer: 45692010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65191071?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ca77dd - 2?\nAnswer: 6ca77db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 161\/234592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:32 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -16*t + y - 5, 5*t = -5*y - 5. Let h be 1*(-1)\/6*-2. Suppose -i - 2*i = 0. Which is the closest to i? (a) t (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 3753.2804.\nAnswer: -262.729628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 115.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6636 = 2*r - 6659, 2*m = 3*r - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**2 - 10*h**2 + h - h**2. Let s(y) = -3*y**3 + 5*y**2 - 4*y + 2. Determine -4*d(u) - s(u).\nAnswer: 3*u**3 - u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x**(-17\/2)*x)\/x)\/x)\/x*x**(-15\/7))\/(x**(2\/41)\/x**13) assuming x is positive.\nAnswer: x**(751\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(17\/2))**(-12\/7)*(x**(-23\/5))**(-45) assuming x is positive.\nAnswer: x**(1347\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(72\/15 + -4). Let d = 30 - 27. Which is the nearest to -0.3? (a) x (b) d (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 23*k - 8*k. Let a(w) be the first derivative of w**2 + 253. Determine q(a(p)).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/g*g**1)\/((g\/(g*g**4))\/(g\/(g\/g**(4\/5))*g)) assuming g is positive.\nAnswer: g**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 87. Suppose -123 - 72 = -3*w. Calculate the remainder when 41 is divided by w\/3 - 2\/p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 833628.4nm?\nAnswer: 833.6284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1204)\/(-6) + 12\/(-18). Suppose 0*n + l = 5*n. What is the greatest common divisor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8853)\/3250 - (-5)\/1. Let z be 8\/6*(-34)\/(-500). Let d = p + z. Calculate the common denominator of -107\/12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 2*u**4 + 2*u - 4 + 4*u**3 - 3*u**3 + 5*u**2 - 3*u**3.\nAnswer: -2*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -562704?\nAnswer: -43\/562704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8018, -16034, -24044, -32048, -40046?\n\"Answer: 3*u**2 - 8025*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10223\/1158 + 1\/193. Find the common denominator of -45\/8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*x = 810*x - 66 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 7*k**4\/18 - 86*k**3\/9 + 8*k**2 + 83*k. Factor m(b).\nAnswer: 2*(b - 12)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f*k**2*s - 2*f*k*s + f*s - 6*k**2*s + 12*s - 1 wrt k.\nAnswer: -6*f*k*s - 2*f*s - 12*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let k be a(1). Let q be k\/1 - 32\/(-8). Let n(y) = q + 2*y - 3 - y. Let w(v) = 4*v. Give n(w(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4997 and 15517?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 293, 598, 937, 1328, 1789, 2338?\n\"Answer: 3*k**3 - k**2 + 287*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 828, 1743, 2724, 3597, 4188, 4323?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*p - 87, -p - 2 + 1 = 0. Let v = -29 - -57. Let y(i) = -q + v + i**2. Let t(b) = -b. Give t(y(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142289?\nAnswer: 379, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91109857387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -374923.12 to the nearest one thousand.\nAnswer: -375000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2128*b + 3 + 1844*b - 3400*b - 5 as m*b + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 325358 and 52739?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 76 = -4*l, -17*x + 22*x = 3*l - 47. Solve -5*y + l - 14 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109\/256660 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 + 9*i**2 - 17*i + 4. Let o(w) = 5*w**3 - 9*w**2 + 18*w - 5. Let r(q) = -3*o(q) - 4*v(q). Is r(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 124 = 59*l. Solve 5*a - 3*f = -7*f - 12, 5*a - f - l = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**4\/4 - g**3\/3 + 6*g**2. Let o be i(3). Suppose h + 4 = o. What is the remainder when 45 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 15 + -39 + -10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toot when four letters picked without replacement from {o: 6, t: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 621 in 5, -0.7, -21, 0.2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(28).\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6393 is divided by 6241.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, a: 10}. Give prob of sequence rr.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141504403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24770*b**6 + 195*b**4 - 10672126*b**2?\nAnswer: -2972400*b**3 + 4680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 8*c**2 - 4*c. Let a(b) = 2*b**3 - 20*b**2 - 10*b. Calculate 5*a(o) - 12*v(o).\nAnswer: -2*o**3 - 4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g = -41*g + 91. What is the greatest common divisor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) 2\/79 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.215 times 36\nAnswer: 7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.064, 2, 4, -1\/5, -4 in decreasing order.\nAnswer: 4, 2, 0.064, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 11 - (-7 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1063*g - 1220 + 1218 + 263*g)*(2*g + 1 - 1).\nAnswer: -1600*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/742 and 55\/91.\nAnswer: 9646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9+-1.818\nAnswer: -10.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2012*m**3 + 1959*m**3 + 2041*m**3 - 5978*m**3.\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(4 - 2). Let z be 7\/(-2) + v\/(-3). What is the nearest to -1 in -0.1, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114441*c**3 + 136079*c**2.\nAnswer: -686646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9 + 5995*g**2 - 5986*g**2 - 2*g + 10. Determine i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993165.7ug in kilograms?\nAnswer: 0.0009931657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8021961179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 2. Let i be q(-2). Solve -i*r - 2 = -12, -2*u = r - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1804\/40 + -3 + 34\/10 and 77\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6369466.\nAnswer: 2, 3184733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -0.2063?\nAnswer: -0.7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:42 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113537668931\/1359 + 83545004. Let v = -46\/151 + r. What is the common denominator of -29\/3 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*a = -3*a + 10, -1 = -3*t - 5*a. Let l(p) = 7*p + 3. Let n be l(0). Solve -t*s - n - 3 = 3*h, -2*s = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**2 + 24*g - 21. Let s(a) = a. Give m(s(c)).\nAnswer: 11*c**2 + 24*c - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20408135 or -20408130?\nAnswer: -20408130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u + 13. Suppose 4 = -0*r + r, 2*r = 5*y + u. Let s(o) = 4*o - 15. Let g be s(5). Put 3, y, g in decreasing order.\nAnswer: g, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -248, -10, 1\/6, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a factor of 297252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222 or -842625?\nAnswer: -842625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, s: 4, q: 8, f: 4}. What is prob of sequence qqw?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 + q**3 + 2*q**2. Let p be a(-6). Let i(b) = -b**2 - b. Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15245 - -303?\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5 + 132*o**4 - 1628*o**3 - 1896*o**2 + 1630*o + 1764 = 0.\nAnswer: -1, 1, 18, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 991*a - 685. Let w(q) = 997*q - 681. Let b(p) = 4*c(p) - 3*w(p). What is the first derivative of b(x) wrt x?\nAnswer: 973","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**5\/60 - 5*z**4\/24 + z**3\/3 - z**2. Let w(s) = -s. Calculate the lowest common multiple of w(-6) and a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 538706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -7*c**3 - 124. Let o(z) = -5*z**2. Calculate n(o(g)).\nAnswer: -525*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - sqrt(12)) + sqrt(12))\/sqrt(6) - (sqrt(2) + ((sqrt(8)*6)**2 - sqrt(2))) - (sqrt(400)\/sqrt(8) + 2).\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -8*a - 21 + 45 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 598 or 614?\nAnswer: 598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1776*i = -1772*i - 3*x - 18, 10*i + 6 = -x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039079.\nAnswer: 3, 7, 89, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -56. Suppose -i = 2*w - 2 + 11, -3*i = 5*w + 30. Let f be i\/60*(-6)\/4. Which is the nearest to 0.1? (a) 1.8 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.2 + -0.8. Let f = 30.9 + y. Which is the second biggest value? (a) f (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313*n**3*z**2 - 769*n**3*z - 2*n**3 - 13285*n**2*z**2 - 2*n**2 - 2*n + 2*z**2 wrt n.\nAnswer: 1878*z**2 - 4614*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 11. Let y be b(9). Let t be ((y - 4) + 25)*-1. Let x = -7 - t. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.158 and 0.5.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 81314703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (4 + -6 - -3) + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/172, 2, -0.4 in ascending order.\nAnswer: -0.4, -1\/172, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*d*p**5 + d*p**3 - 6*d*p - p**5 + 88*p wrt p.\nAnswer: -480*d*p**3 + 6*d*p - 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 37*a**2 + 147*a + 20. What is the hundreds digit of b(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 2476832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1000*c**2 - 671 + c**4 + 1001*c**2 - 30*c**3 - c**4 + 4*c**4 + 0*c**4 + 3*c wrt c.\nAnswer: 48*c**2 - 180*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:45 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/(2 + 105\/(-12)). Let o = k + -17\/36. Let u be (-4*1\/(-2))\/(-3). Which is the nearest to u? (a) -1\/2 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -2*t - 22, -t + 17*k - 5 = 15*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 7\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 3*k - 1. Let b be c(1). Suppose 2*q - z = -4*z - b, 0 = 4*z + 12. Solve -q*w + 0*f - 12 = -f, 9 = -3*w + 3*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -104. Suppose 7*f = 154 - i. Solve -5*n - 2*o = 15, 2*o = -n - 3*o + f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**3 + d**2 - 4*d + 1. Let y be j(3). Let r be (-44 - -8)*48\/(-32). Let c = y - r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390\/363107 or 0?\nAnswer: -390\/363107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37634 and -3796.\nAnswer: 142858664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12776, -13307, -14204, -15473, -17120, -19151?\nAnswer: -21572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = -5*w - 636. Let n = w - -2009\/9. Which is the second smallest value? (a) 1\/3 (b) -2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -530\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuj when three letters picked without replacement from tttujujttjtutjtjtuj?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**3 - 12*s**3 + 26*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 1519738183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.084 * -8.\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/8)\/v*v)\/v**(1\/19) assuming v is positive.\nAnswer: v**(163\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**3\/6 - k**2\/2 + k. Let m(q) be the second derivative of q**3 + 3*q**2 + q. Give -2*m(j) - 11*x(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82290, 164578, 246866?\nAnswer: 329154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - y**3 - y**3 + (2*y**2 - 2*y**2 - 2*y**3)*(-3 + 3 + 2))*(-1142 + 1142 - 208*y).\nAnswer: 1456*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -118.3. Let w = f - 6.9. Put -1, 0.4, -32, w in ascending order.\nAnswer: -32, -1, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 33 + 18 + (35 - (83 + -14))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*x - 45 = 0, -7*x = -10*q + 9*q + 59. Let s(f) = -7*f + 28. What is s(q)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-43 + 40)*(-4)\/6*1. Suppose 48*k - j = 46*k. Sort -1\/2, -1, k.\nAnswer: -1, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 178 (b) -87 (c) 1\/1904\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -268? (a) -18 (b) 0 (c) 840\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 21 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + 159. Which is the nearest to -1\/4? (a) 2 (b) 1 (c) l (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a + 43*a - 57*a = -3*z - 50*a - 1338, -4*a = 72 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 58. What is o(18)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 + b. Let i(p) = p**3 - 7*p**2 + 8*p - 3. Let z be i(6). Suppose -2*c + 2*u + 8 = 2*c, -z = -c + 4*u. What is s(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:08 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9160.88 and -76.\nAnswer: -9236.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -481 + 1435\/3. Is -2\/9 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n**3 - 11*n**3 + 14*n**3)*(2 - n**2 - 2) + 876*n**2 + 240*n**5 - 876*n**2 + n**4 + (3*n**5 - 3*n**5 + 2*n**5)*(2 + 3 - 4).\nAnswer: 224*n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 984?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5304452478 to the power of 1\/3, to the nearest integer?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587529 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3293 and -9778?\nAnswer: 32198954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 - 8*o**2 + 16*o + 9. Suppose 4*r + 72 = -8*r. Let h be q(r). Let m = 125 - h. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-1316 + 242 + 330)*(o - 5*o + o).\nAnswer: -2232*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 2*h**4 - 3*h + 22*h**3 + h**4 + 2*h to the form j*h**2 + n*h**4 + w*h**3 + c + b*h and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, -4, 0, -3, 4 in ascending order.\nAnswer: -123, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 111.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 1. Let t(j) = -17*j + 3. Let b(d) = -9*o(d) + 2*t(d). Let u = -3 - -8. Let q(n) = -4*n - 292 - 318 + n + 614. Determine u*b(s) + 4*q(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/2)\/(3\/4). Let c be 1\/2 + 27\/z. Solve 3*d = 2*u - 5, c*u - 7*u + 17 = -3*d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 3}. What is prob of picking 1 e and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:29 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = h - 1 - 4, 3*u = -2*h + 10. Let f = 5 + -3. Let k be (f\/8)\/(9\/(-4)). Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4852)\/24260*(10\/(-18))\/(186\/(-9))?\nAnswer: -1\/186","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/2*8886\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29187 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 10*y**2 - 9*y + 1. Let v be d(9). What is the nearest to 0 in v, -5, 3\/8, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/641272 and -39\/44.\nAnswer: 7053992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2\/5, -5, 3, -1\/135, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 3. Let l be q(3). Let w be ((-2)\/2 + l)*-1. Suppose -3*c + 0*j - 5*j - 10 = 0, c + 3*j = -10. Solve -5*d = -4*g + 13, d = 3*g + c - w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -251 in descending order.\nAnswer: 3, -4, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 + -0.45. Which is the biggest value? (a) u (b) -0.2 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c. Let o(j) be the third derivative of j**6\/90 - 7*j**4\/4 - 10*j**2 - 2*j. Let r(x) be the second derivative of o(x). Determine g(r(d)).\nAnswer: -64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z**2 + 2*z**2)*(30*z**2 - 125*z**2 - 39*z**2) - z**4 + z - z - 6*z**4 - 3*z**2 + 3*z**2 + (2*z**3 - z**3 + 0*z**3)*(-3*z + 0*z + 4*z).\nAnswer: 262*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179789 - -548789. Round m to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/1625 + 9628\/99125. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 19 + 11 + 6*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - c - 7 = 4*c, -3*v + 11 = -4*c. Let j be (4 - 7\/3)*v. Let d be 551 - j - (-1 + -3). What is d rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 52. Let l be (-336)\/(-180) + (-4)\/k. Let y be ((-81)\/270)\/(l*(-2)\/(-8)). Which is the fourth biggest value? (a) y (b) -2\/7 (c) 10 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c**3 + 0 + 1\/660*c**6 + 1\/330*c**5 - 1\/1155*c**7 + 10*c**2 - 1\/132*c**4 + 0*c. Factor o(p).\nAnswer: -2*p*(p - 1)**2*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 71*f + 2348. Let x be z(-33). Solve 6*l - 3*l - 30 = x*a, 5*a - 10 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1960524?\nAnswer: 1\/490131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/12)\/((-15 - -31)\/320). Solve 0 = h*b + 27*b + 288 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4142, -11, 4, 6, -4, -2 in descending order.\nAnswer: 4142, 6, 4, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573.5599 months in years?\nAnswer: 214.463325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/3 + (21 - 9436\/308).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/3 - 3*x**2 + 3*x - 2. Let h be g(6). Let v be h\/6 - (-17)\/(-2). Sort 5, v, -1 in decreasing order.\nAnswer: 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -273 (b) -0.14 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1736349*r**2 - 1270490*r**2 + 1874645*r**2 + 567069*r**2.\nAnswer: 2907573*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 - -3.8. What is the nearest to -2\/5 in c, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84302 - 47334. List the prime factors of i.\nAnswer: 2, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*((4 - 3 - 2)*(3*z**2 - 3*z**2 - 2*z**2) + 16 - 5*z**2 - 16).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(891) - (sqrt(99)\/(2*sqrt(9)) + sqrt(11)).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:00 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*y - 14, -7*w + 2*w = -3*y + 26. Solve 0 = y*r - 2 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 14. Let z be j(8). Suppose 20*i - z*i + 86 = 0. Let p(r) = -i*r**2 + 45*r**2 + 0*r + 0*r. Let w(c) = 2*c + 15. Determine w(p(m)).\nAnswer: 4*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/5 + 50396*r**3 + 40039218*r**2\/5 - 16166876*r + 40543181\/5 = 0?\nAnswer: -251821, -161, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*t = 22, 2*b - 7*t + 6*t = 1. Suppose -5*s - 4*h + 8 = -11, b*s - 30 = 4*h. Let q = 1 + 7. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 3*x**4 - 3*x**4 + 4*x**4 - 2*x**4 - x**4 + (3*x + x - 2*x)*(-41*x + 41*x - 8*x**3).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 9*h**2 - 20*h - 10. Let g be j(5). What is the tens digit of 79*1 + 21 + g + -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyyyyyvyoyhooyoo. Give prob of sequence yoh.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-18)\/(-24). Suppose 3*g = -k + 10. What is l in -l**2 + l**4 + 0*l**g - l**3 + l**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.684 times 5\nAnswer: 38.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y**2 + 54*y + 720. Let f be o(-15). Which is smaller: f or 4636?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 50 + 56. Let i(j) = -j + 1. Let r(n) = 3*n**2 - 2. Calculate a*i(y) + r(y).\nAnswer: 3*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjjnfngjnjjnj. Give prob of picking 3 n.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 593664307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b + 1764. What is o(26)?\nAnswer: 1582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1115566?\nAnswer: 2, 19, 31, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*b - 8 + 3 = 0, 4*q = b + 7. Let t(c) be the second derivative of 3\/40*c**5 - 1\/8*c**3 + c + 0*c**q - 1\/56*c**7 + 0*c**4 + 0*c**6 + 0. Factor t(y).\nAnswer: -3*y*(y - 1)**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1470\/(-168))\/(-35))\/(820\/274 + -3) + 11.\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2. Let f be (2\/6)\/(4\/60). Suppose -4*c - 2 = -f*y, 2*y + 6 = 5*y. Let r(d) = -2*d**2 + 3*d**2 + d**c. Give t(r(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 263 + 363*m**3 - 2*m + 161*m**2 + 166*m**2 - 491*m**2 + 164*m**2 with respect to m.\nAnswer: 1089*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14760637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2\/4 - 2116287*o = 0 for o.\nAnswer: -2821716, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2412 (base 5) in base 16?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78686 is divided by 1991?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/3232285 and -141\/140.\nAnswer: 12929140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 32. Suppose -y = u - 9. Solve -10 = -5*t + b, -5*b = -4*t + u*t - 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmxmyxkreemmxrxm. Give prob of picking 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 179865*f**2 + 9541272*f.\nAnswer: -3*f*(f - 60008)*(f + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38258, -76487, -114726, -152981, -191258, -229563, -267902, -306281?\n\"Answer: -h**3 + h**2 - 38225*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o - 2. Suppose -16 - 160 = 44*f. Let a(g) be the first derivative of g**2\/2 + 3*g - 70. Give f*p(q) - 3*a(q).\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2339985 and 442?\nAnswer: 2340427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 19*p + 34. Give q(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/12286274 and -89\/60648?\nAnswer: 147435288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 72 = 3*u, -4*q - u - 291 = 36. Let j = 56 + q. Let y = 27 + j. Solve -y*v = v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/((-77385)\/(-70)) - 9783\/(-297)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -16. Let o be 12*((-6)\/h + 1). What is the first derivative of -1 - o*z**3 + 4*z**3 - z**3 wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-10)\/(-4))\/(-5))\/(-2). Let j = -0.31 + 0.01. What is the nearest to n in j, -3, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -2183019?\nAnswer: 10915095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1039 - 709. Does 52 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -110067762 and 377.881.\nAnswer: -110067384.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -62, 2\/21, 4\/99, -3.\nAnswer: -62, -3, -2\/13, 4\/99, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -47*v - 180. Let t be n(-4). Suppose 3*j = -3*i + 6, -4*j + 3*j = -3*i - 6. Solve -w - t = -j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95093271 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19410 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 7*l. Let o be x(6). Suppose 2 + o = 4*u. Let m = u - -2. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/(-112) - (-2526)\/70. Let j = 36 - x. Let i be 2453\/(-231) + 10 - 1\/(-3). Which is the nearest to j? (a) i (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5309237268.7 - -0.056?\nAnswer: 5309237268.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Let h(n) = 11*n - 8. Let r(j) = -3*c(j) - h(j). What is the first derivative of r(w) wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -1931.\nAnswer: 13\/1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299339068?\nAnswer: 2, 7, 163, 65587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -98251*m**3 + 3*m**2 - 9*m + 9. Let v be d(7). Round v to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10834 (base 15) to base 9.\nAnswer: -78874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-30) + 68\/(-10). Let d be (3\/(-1))\/(q\/14). Suppose d*v + v - 8491 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288)\/(-3*sqrt(6)) + 3 + -3 + (sqrt(48) - (4 + sqrt(1200))))**2.\nAnswer: 104*sqrt(3)\/3 + 2707\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Suppose 4*h + 1 = u. Let j be 25\/(-10)*h\/10. Which is the third biggest value? (a) j (b) -0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Let n = 5 - v. Let w(b) = -1. Let p(t) = 2*t - 3. Let h(i) = p(i) + w(i). Calculate h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(261*q + 6005 - 6001 + 477*q).\nAnswer: 738*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Suppose -7*d + 2*d = c - 103, 5*d + 362 = g*c. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/225*(-279)\/465.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 - r. Suppose -5*t + 3 = -2*t. Calculate b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/7 - 2176*g**4\/7 - 106530*g**3\/7 - 111996*g**2 = 0.\nAnswer: -1037, -42, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1055, 0, -148, 4 in increasing order.\nAnswer: -1055, -148, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 6*l**2 - 3*l**2 + 0*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 24229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:00 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562386948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7223 - 7223.1. What is the nearest to m in -1, -2\/7, -16, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g. Let w(a) = a**2 + 2*a - 5. Calculate the remainder when w(5) is divided by 15 - (-1 + g + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202639.7405 rounded to the nearest ten?\nAnswer: 202640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19706 - 19707. Let u(t) be the second derivative of -3*t**5\/20 + t**4\/6 + t**3\/3 + t**2\/2 + t. Give u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s = -8. What is the second derivative of -5 - 4*z**3 + 2*z + s + 2*z**5 - 5*z + 0*z**5 wrt z?\nAnswer: 40*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 20029 = 2*t - 20032, -3*o = 3*t + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 483336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 divided by -521?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11195 and -26.\nAnswer: -291070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 9:07 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108 - -119)*(-2 + -2)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 33 = -2*o, -3*c = 4*o + c - 76. Let z be ((-4)\/(-3))\/(16\/o). Suppose -m + 2 = -z. Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**32)**(-33))**15 assuming c is positive.\nAnswer: c**(-15840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**30\/(w**(-10))**35 assuming w is positive.\nAnswer: w**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.37922 (b) 0.2 (c) -3\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.239439 - 11.24. What is t rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -41\/55?\nAnswer: -41\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/107, 1\/2, 4, 2\/3.\nAnswer: -3\/107, 1\/2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azknfua. Give prob of sequence kaz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/45*((-1)\/(-1))\/((-25)\/125)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 10\/20*2724\/(-585) and 7\/50.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 722460831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*r**5 + 22*a**2*r - 2793*a*r - 37950*r**5 + 2*r wrt r.\nAnswer: 40*a**2*r**3 - 759000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.027 + -4.963. Let v = 5 + n. What is v rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 421, 1813, 4129, 7369, 11533, 16621, 22633?\nAnswer: 29569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182899699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1040530 (base 6) to base 4\nAnswer: -30231012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 43, -5, 1, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.3 (b) -2\/7 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -442 + -1?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(((-42)\/(-72))\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -10*m**3\/3 + 63684*m. Let o(g) be the third derivative of 0*g**3 - 1\/60*g**5 + 0*g**4 + g**2 + 0 + 0*g. Calculate j(o(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 23*p + 23. Let r = 35 + -33. Suppose -5*l - 108 = -i, -3*l + r*i = 5*i + 72. Let y be h(l). Solve -b + y - 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 + 1 + 44*s**2 + 5 - 43*s**2 + 0*s**4 in the form l*s**3 + p*s**2 + n*s**4 + b*s + i and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -46, -73, -116, -181, -274?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 7*u + 44. Let g be z(-12). What is the fifth smallest value in 2\/9, 3, -0.2, -2\/13, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65720118*f**4 + 211888726*f?\nAnswer: -788641416*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Suppose k*d + 4 = -0. Let f be 2\/3*4\/(-8). What is the second biggest value in f, 2, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s. Suppose -r + 3*x + 53 = 0, 5*r - x = -s*r + 209. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3031056 and 672.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 20. Let z = -5 + o. Calculate the remainder when 22 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-68 - 3) - (2682 + -2684)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16929 and 9747?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4*sqrt(85)\/sqrt(5) + sqrt(17)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(76))\/(2*sqrt(36)).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.1. Let p(j) = j + 9. Let q be p(-7). Sort 3\/8, h, q in decreasing order.\nAnswer: q, 3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20470 and 13190?\nAnswer: 26999930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 4 (b) 1 (c) -8\/3 (d) -21 (e) 26 (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*p + 21. Solve -2*b + p*y + 3*y - 18 = 0, -2*y + 20 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -5 (c) 5\/3 (d) -36 (e) 2455 (f) 0.5 (g) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.39, 3, -0.1, 0.4, 5 in decreasing order.\nAnswer: 5, 3, 0.4, -0.1, -1.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -69. Let f = -1357 - -1352. Put q, -18, f in descending order.\nAnswer: q, f, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -285536290451.27 and -3?\nAnswer: 285536290448.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/21, 253, 5, 6\/19, -3?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*-1)\/sqrt(7).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315206.\nAnswer: 2, 173, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*23\/(-2484)*-1*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 27*j + 23. Calculate x(13).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*b**4 + 3*b**3 + 2*b - 9*b**2 - 41*b**4 - 62*b**4 - 4*b + b to the form x + z*b**3 + c*b + k*b**2 + i*b**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000152 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.74 + -4.24. What is the nearest to 1 in 1, k, -0.06, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 1. Let h be j(2). Let o(k) = k**2 - 4*k + 2. Let w be o(h). List the prime factors of w\/(-2)*(-30)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 18?\nAnswer: 53\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*d = -d + 125, -9 = -3*d. Solve l*x - 2 = 24*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 1. Calculate the remainder when 43 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -877708 divided by 3\nAnswer: -877708\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 31*m + 88. Let g be y(28). Let z(n) be the second derivative of -n + 0 + 1\/20*n**5 - 1\/3*n**g + n**2 + 1\/6*n**3. Give z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529180943 plus -0.04?\nAnswer: 529180942.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2*t**5\/65 - 53*t**4\/13 - 4946*t**3\/39 + 17808*t**2\/13 - 56448*t\/13 + 6307. Solve p(f) = 0.\nAnswer: -56, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/63)\/(15\/72)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j - 12*j + 0*j)*(2 + j + 0*j - 3).\nAnswer: -22*j**2 + 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -10102201?\nAnswer: -10110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2264*b - 9551. Determine a(-5).\nAnswer: 1769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + k**3 - 2*k**2 + (4*k**2 - k**2 - 2*k**2)*(-k + 5*k - 2*k) - 245*k + 245*k - 24*k**3 as q*k**3 + n*k**2 + s*k + l and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 477, 876, 1381, 1992?\nAnswer: 2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 35. What is the third derivative of 0*x**2 + 4*x**3 + 7*x**3 + 2*x**i - x**2 wrt x?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88\/5 of a litre?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 316, 702, 1242, 1936?\nAnswer: 2784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 3*o. Let s be a(0). Suppose -3*f + 4*f - 4 = s. Suppose 112 = 5*w - f*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294 at least as big as 2291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -g + 2*o, 20 = -3*g - 3*o + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*b + 4*r, 36 = 3*b + 2*r - 40. Suppose -4*x = -4*d + b, 2*x = 3*d + 5*x - 6. Solve -26 = d*w - 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828432.\nAnswer: 2, 3, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227347 and 205021?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 10*f + 30 = 0. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 (base 10) to base 9\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1. Let q(u) be the third derivative of -u**4\/24 - 3*u**2. Determine q(h) + r(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 11248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -1.237, -0.65, 9 in ascending order.\nAnswer: -1.237, -0.65, 9, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/110)\/(68\/34)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11430.67844434 - -23.5.\nAnswer: 11454.17844434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**(-3\/2)*a)\/a*a*a))**(2\/43)*a\/(a\/a**(-12))*a*(((a\/((a\/a**(1\/2))\/a*a*a))\/a*a)\/a)\/a assuming a is positive.\nAnswer: a**(-1159\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 271\/2, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 991850.9l in millilitres?\nAnswer: 991850900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*j + 4*j**3 + 64*j**2 + 141*j - 2367 + 97*j + 1719.\nAnswer: 4*(j - 2)*(j + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/221 and -10\/153.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 9*w**2 - 11*w - 6. Give k(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (2 - 0)\/1. Let m = -2 - c. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/12 - v**3\/3 - 35*v**2. Calculate q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -109. Let i(w) = 2*w + 36. Let q be i(r). Find the third derivative of 1220*c**4 - q*c**5 - 1220*c**4 - 15*c**2 wrt c.\nAnswer: -600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 - (-1 - -1))*-1. What is the smallest common multiple of (60\/5)\/((-6)\/(-4)) and (0 + 1)*(a - 4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/24 - l**3\/6 + 2*l**2. Suppose 0*b - 60 = 5*b. Let p(r) = -r**3 - 11*r**2 + 12*r - 3. Let d be p(b). Determine i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194.8 * 131\nAnswer: 25518.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -45*z**2 + 354*z + 44. Give o(9).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45803 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*i - 18, 0 = -f - 3*f - i + 13. Suppose -f*j = -5 - 5. Suppose -j*c + 3*c = -42. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/17928 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/57439 - -57437\/114878. Let p be ((-5)\/(-12) + 0)*2. Determine u so that -p*u**2 - l + 1\/6*u**3 + 7\/6*u = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33006 (base 8) to base 7\nAnswer: 55215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 9. Let o(r) = 18*r + 28. Let t(g) = 7*h(g) + 2*o(g). Determine t(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and -3.6?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11*q = -64. Suppose 5*g - 1820 = -q*p, -21 = -4*p - 1. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 18}. Give prob of sequence hmmh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(((-8)\/(-28))\/(2\/(-14))). Solve -15 = -t*u + 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 2 + (-1 - (-5 - (-9 - -11))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3\/2 (c) -4\/9 (d) -4\/387\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:52 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-3)\/12*2). Let d(y) be the second derivative of -y**4\/12 + y**3\/6 + y**2 + 10*y. Let r(c) = -4*c**2 + 4*c + 7. Calculate z*r(g) + 7*d(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (243\/36)\/((-3)\/(-220)). What is the greatest common divisor of t and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 12*i**2 - 3*i - 10. Let g be q(-8). Let n = g - -405. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*i - 225 = 38, -4 = -4*i. Suppose 6*a - 4*a - 28 = 0. What is the remainder when l is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, s: 3, c: 6, j: 1}. What is prob of sequence jlsl?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9491736 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, g: 2, f: 11}. What is prob of picking 1 x and 1 f?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from uhhhuuchhhucmhv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1926, -1625, -1314, -987, -638?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 218, 0, 12, -1, -371.\nAnswer: -371, -1, 0, 2, 12, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 88 = 34. Solve -n**2 - 14 + 11*n - 5*n + h*n = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24782.\nAnswer: 2, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 - n**2 + 90*n**3 - 1216 + 1218 in the form m*n + d + t*n**3 + w*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:17 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/3008 and 49\/832.\nAnswer: 39104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, -17, 0.2, 1\/11, 62797?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 4*i + 8. Let k(d) = -11*d - 236. Let m be k(-22). Let r(p) = p**2 - p + 1. Calculate m*r(w) - s(w).\nAnswer: 2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3716 + 0.252. Let s = -0.0256 - d. Round s to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - 2*((sqrt(156)*1 - sqrt(156) - sqrt(156)) + sqrt(156)))\/(sqrt(132)\/sqrt(275)) - (-1 + sqrt(13) + 0 - sqrt(78)\/sqrt(6)*4)*-1.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 996\/(-24402)*14*(-2 + 1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*a + 13 = -11, -12 = -2*q + 2*a. Suppose -4*b + q*b - 246 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - 2*v**2 + 4*v + 11. Is q(4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2341\/11705)\/((-1)\/(-65)*-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d + 1650 = 46*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 + 267*h**2 + 1668*h - 4428 = 0. Calculate h.\nAnswer: -82, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 715604453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20472*v**3 + 0*v**2 - 20631*v**3 + v**2)*(v**2 + v - v).\nAnswer: -159*v**5 + v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/4)\/((-1235)\/(-190)*(-9)\/39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -7*2\/(-6). Which is the nearest to -0.1? (a) -5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 7*q**2 + q**3 + 3*q + 6*q**2 + (-q + q - 3*q**2)*(5*q + 4*q - 3*q) - 7*q**3 + 2*q**3 + 2*q**3.\nAnswer: -20*q**3 + q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 2, i: 1, h: 3, t: 2, d: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/1 + 8 + -14. Let j be 516\/(-72) + (2 + -4)\/v. Sort -3, 2, -2, j.\nAnswer: j, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u - 3. Suppose 0 = -8*x + 6*x - 22. Calculate the remainder when v(x) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 47*v**2 - 3*v + 39. Determine k(47).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 + g**2 + 2*g + 1. Let w be p(-1). Let z(j) = j - 872. Let n be z(0). Does 12 divide w\/27 - n\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert ad9 (base 15) to base 8.\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 4955398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100010001000001001110010 (base 2) to base 14\nAnswer: 128c44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-6*(sqrt(95) - sqrt(95)*3*-5))\/(sqrt(135)\/sqrt(3) + sqrt(5) + sqrt(20)\/sqrt(4)*2))**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108330652*b**4 + 63963855*b.\nAnswer: 1299967824*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 91. What is the remainder when 63 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (-9 + 0)) + -27 + 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6788 (base 12) to base 6\nAnswer: 125052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 32*m**2. Let q(u) be the second derivative of u**7\/420 + 2*u**4\/3 + 2*u**2 - 67*u. Let l(i) be the third derivative of q(i). Give l(p(b)).\nAnswer: 6144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pogrooofofjfff. Give prob of sequence jf.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.6. Let r(a) = -a**3 + 8*a**2. Let f be r(8). Suppose f*v - 6 = -2*v. Sort s, v, -2\/3 in descending order.\nAnswer: v, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:24 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -289233, -5, 1, 0 in ascending order.\nAnswer: -289233, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v\/(v\/v**(-2\/3)*v))))\/v)**37 assuming v is positive.\nAnswer: v**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 7, v: 5, h: 2, p: 4, m: 1}. What is prob of sequence vpmc?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 15*c**2 + 0 - 2 + 4*c**2.\nAnswer: 19*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -422\/5 = -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35487, -71159, -106837, -142521, -178211, -213907?\n\"Answer: -3*t**2 - 35663*t + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1254 - -2429.177.\nAnswer: 1175.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -899.\nAnswer: -8\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*d = 273*d + 96 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -1186, -2658, -4742, -7456, -10818?\nAnswer: -14846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2570 - 5?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*(2*-1)\/(166\/747).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142895 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j**3 - j - 1. Let g(q) = 15*q**3 + q**2 - q - 3. Let d(b) = 6*g(b) - 13*k(b). Give d(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:08 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316 and 460.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2158*-4.3392.\nAnswer: -9363.9936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -144. Suppose 59*u - m*u = 615. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(49\/42) + -2 + 5. Let h be 2 + (-2 - (-12)\/d). Suppose -u + 8 = u. Put u, h, 3 in descending order.\nAnswer: u, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a00 (base 11) in base 9?\nAnswer: -3433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/10067, -3\/4, -0.3?\nAnswer: 1\/10067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7960648 (base 10) in base 9?\nAnswer: 15872854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4363856, -8727677, -13091498, -17455319, -21819140?\nAnswer: -26182961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x - 92. Let n be k(-11). Let j be 1\/n + (-13)\/(-84). Which is the closest to 1? (a) 5 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 1. Let p(q) = 2*q**2 - 2*q - 2. Let j(z) = p(z) - 2*r(z). Let g(v) = 3*v**2. Determine g(j(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3128245, 6256497, 9384749, 12513001, 15641253, 18769505?\nAnswer: 21897757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apprrrrraprtrnaraapr. Give prob of picking 1 a and 1 t.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(304)*-3 - sqrt(304).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 3*z**2 - 3*z. Let u be i(-3). Let m(k) = 22*k**2 - k - 1. Let v be m(1). Let a = v - u. Calculate the remainder when 21 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**2 - 2*z - 3. Suppose -4*j - l - 3*l = -4, -2*j - 3*l = 0. What is the units digit of d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1092168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 54*n + 3. Let o be a(11). Suppose -5*d - 17*h + o = -13*h, 2*h = 2*d - 56. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.24231 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11492\/16900*(-5)\/(-1)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 834.71 to 0 decimal places.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 14.\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2163 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(2\/16). Let f be (-7)\/28*(z + 0). Suppose 0 = 5*i + 100 - 120. Solve 0 = -i*y - 5 + f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/60 - p**4\/12 - p**3\/3 + p**2. Let k(d) = d - 14. Let l be k(9). Let c(f) = f**2 + 2*f + 2. Give l*u(b) - 6*c(b).\nAnswer: -b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -239.96 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-850)\/90)\/(-17) + (-35456)\/576?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.456 - -5.456. What is the second smallest value in 0.036, -5, r?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (444\/370)\/(4\/(-490)). Let v = 619 + x. List the prime factors of v.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1166 divide 8861067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g\/((g\/g**(3\/2))\/g*g))*g))\/g**0)**(-4)\/((g**(-1))**(-4\/13)*(g*g**(-2\/7))\/(((g\/g**0*g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-639\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.56 + -1.44. Which is the smallest value? (a) 10\/9 (b) -0.4 (c) -4\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 303995.\nAnswer: 303995.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 10 = -5*o + 2*i, 4*o - 4*i - 12 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -22) + -34 + 8 + 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**4 + 2462050*m**3 + 64363*m**2 + 100*m wrt m?\nAnswer: 120*m + 14772300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p + 1. Let w(o) = 2*o**2 + 3*o + 3. Let t(i) = 3*g(i) - w(i). Let z(j) be the third derivative of -j**5\/60 + 2*j**2. Give z(t(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 61\/4 of a millisecond?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*s - 5*n - 1876 = 0, 0 = 476*s - 474*s + n - 60 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -143. Let m = -100.9999655 - c. What is m rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 5*j**2 + j**2 + 2*j**2 wrt j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o - 2 - 180*o**3 + 366*o**3 - 2*o**4 - 3*o**2 - 185*o**3 to the form b + a*o**3 + l*o**2 + j*o + r*o**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -144?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 414571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 0, -2*o = -3*q + 7 - 38. Suppose -o = -6*b + 10*b. Put b, 4, -4 in decreasing order.\nAnswer: 4, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(-6 + 3 + 5) - 32 - 98 - 62)*(0 + 0 - m).\nAnswer: 188*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-12)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, 6 in increasing order.\nAnswer: -3, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1539151*r**2. Let v(d) = -384*d. Determine w(v(a)).\nAnswer: 226957049856*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -360, -793, -1264, -1791, -2392?\n\"Answer: -3*p**3 - p**2 - 409*p + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9810 - -602?\nAnswer: -920e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 9. Let v be z(-6). Suppose v*u = 2*u. Solve u = 4*a + 33 - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*p = 102*p - 197*p - 168 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 6:47 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*i - 2*p - p, 0 = -5*p - 25. Suppose -4*s + 74 + 42 = i. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 12 + 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23595)\/210 - (-1410)\/3948?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6340600 and 211\/3150.\nAnswer: 57065400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 94.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(486) - sqrt(486) - sqrt(486) - sqrt(486))\/sqrt(9))\/sqrt(3) + 3 + -3*((sqrt(16)\/(sqrt(24)\/sqrt(3)))**2 + (1 + sqrt(2))**2*2 + 0).\nAnswer: -24*sqrt(2) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*y + 2*o, -15 = 5*y + 4335*o - 4330*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1025610973*s**4 + 352674471*s wrt s.\nAnswer: -12307331676*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115767 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/3 - 85*h**4\/3 - 242*h**3 - 558*h**2 - 9*h + 837.\nAnswer: (h - 93)*(h - 1)*(h + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/((-1736)\/(-48)))\/(21\/((-1176)\/(-16)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 5.085922.\nAnswer: 10.171844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + -18)\/(-8) - -7. Let a be l*-1*(2 + 1)\/(-9). Solve a*n + 2*h + 29 = 6*h, 0 = -4*n - 2*h - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -83236, -332950, -749144, -1331824, -2080996?\n\"Answer: -o**3 - 83234*o**2 - 5*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -888 - -882. Let i = 77 - 159\/2. What is the nearest to 2\/5 in i, 4, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146926616.\nAnswer: 2, 41, 103, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in 0.4, -8\/5, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 minus -18875585467?\nAnswer: 18875585447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + v = 3*r - 13, 5*v = -5*r + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 316, -204, -1552, -4004, -7836, -13324?\nAnswer: -20744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001127755 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14744141639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 17\/6 (b) 1\/2 (c) -1 (d) -1\/2 (e) 1 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002542 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h\/(h**7\/h))\/h*h\/(h*h**(2\/17))*h*(h**(-2\/3))**(-2)*((h**(-1))**(-1\/12))**4 assuming h is positive.\nAnswer: h**(-125\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10 + (-5 + 12 - 0) + 71 - 5\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**2 + 19*t**2 + 16*t**2 - 13*t**2 + 12*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = -692. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.497596 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 6*j - 3*j)*(0 - 11 + 2).\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.413 - 0.4028. Let p = -0.007832 + c. Round p to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75840 divided by 4\nAnswer: -18960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1236 - 21?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 44 = -3*f + 4*x, x = -3. Calculate the remainder when 80 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -786 + 846. What is the least common multiple of 480 and m?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + s - 7. Let y(x) = -x**3 - x**2 + 10. Let h be y(0). Suppose h*b - 4*b = 0. Calculate w(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/47412 and -17\/5268.\nAnswer: 47412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43882673?\nAnswer: 43882673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02906976145 rounded to 6 dps?\nAnswer: 0.02907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67762198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2774 and 87\/12994.\nAnswer: 246886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -52622\/60873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 16474187*p - 16474185*p + 16 = 0, -2*a - 9*p = 61 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 1. Let s be 3*6\/(-27)*(-57)\/38. Let j(w) = -2*w - 6. Let i be j(-5). Let b(n) = -i*n + 5*n + 0*n. What is s*h(m) - b(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (10 + -9 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from qctccccctaq.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 725870 from -28.\nAnswer: -725898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmx when three letters picked without replacement from {m: 2, x: 2, g: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 392 - 382 = -4*t, 4*t + 26 = 13*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 1468430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*l**5 + 32*l**5 - 230*l**5 + (3*l**2 + 4*l**3 - 3*l**2)*(l**2 - l**2 - 2*l**2).\nAnswer: -109*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 55*l + 37. Calculate o(-3).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(60) - sqrt(180)\/sqrt(27))\/(sqrt(27)\/((sqrt(9) + sqrt(36) + sqrt(9))*-4)).\nAnswer: 1184*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t = 28. Calculate the remainder when 39 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 - 130. Factor 0 - 3\/2*t + 3\/4*t**i + 9\/4*t**3.\nAnswer: 3*t*(t + 1)*(3*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/6*120\/25. Calculate the highest common factor of l and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxcaxxza. What is prob of sequence cxa?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 2. Suppose -81*k - 77 = 247. Let h(j) be the third derivative of j**4\/12 + 5*j**3\/6 - 2*j**2. Give k*h(y) - 9*r(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -3, 2\/3, 42399, 5, -5, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-4)*7936\/(-17360)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/(-12) + -2*(-16)\/(-8)*(-2)\/2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.4, -0.002, -0.051, -15, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 38869314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.048, 0.1, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 5, -1 in increasing order.\nAnswer: -35, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/40 + 88\/40. Let r(g) = -23*g + 62. Determine r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*u - m, 2*m = -u + 5*m + 6. Let q = 9 + u. Suppose 3*l + 2*l - 46 = -4*r, 2*r + q*l = 22. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2339, -4677, -7015, -9353, -11691?\nAnswer: -14029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/5*((-44)\/(-66))\/((-14)\/9). What is the fourth biggest value in -6, w, 16\/3, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8832 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15*u**3 + 5*u**2 - 5. Let m be y(-4). Calculate the common denominator of 3\/4 and 4\/30*m\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*x + 48*x - 57 + 28 + (-3 + 4 - 2)*(-3 + x + 3).\nAnswer: x - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1403043 - -24?\nAnswer: -1403014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 4*a - 70.\nAnswer: 2*(a - 5)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwqe when four letters picked without replacement from wqcweqwqqc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2. Let u(q) = -176*q**2 + 1. Give g(u(y)).\nAnswer: 154880*y**4 - 1760*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/50 and 333\/72 + 2\/(-8)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1268)\/28 - (-10)\/35. Let g = 60 + m. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 55*a + 292. Let w be n(-5). Solve -o = 19 - w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*h - 8, -4*d + 3*h - 32 = 5*h. Suppose 284 = -5*w - 136. List the prime factors of (w\/(-8))\/((-1)\/d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 861\/5, 31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -130. Let f be (-16)\/(-84)*(-14)\/i. Let m = 2\/13 - f. What is the nearest to 0 in 1, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 17. Suppose k - 2*k + 27 = -4*d, -3 = -k. Let j(x) = -x + 10. Let h be j(d). Give q(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5 - 2 + 0)*(-22 - 10*v + 22).\nAnswer: 20*v**2 - 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36619300 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-1) - -1)*5. Let d = 54 - 54. Suppose -5*a + 0*a + t = d. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59030041747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 - 2*g**2)*(g + 0*g + g)*(-2*g + 3*g - 3*g).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/5 (b) -0.3 (c) -1\/6 (d) 3793 (e) -5 (f) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 3*r**2 - 5*r - 8. Let q be f(-3). Suppose 448 = z + q*z. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -1) + 24662\/(-1062)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5032958267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 803*i + 12057. What is a(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - sqrt(78)*-1*2) + sqrt(78) + (sqrt(78)*-1 + sqrt(78))*-1 + sqrt(78))*-4)\/(((sqrt(504)*-2 - sqrt(504))\/sqrt(12))\/(sqrt(7) + 5*sqrt(28))).\nAnswer: 220*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6208?\nAnswer: 1\/1552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252*h + 2252*h + 53*h**2.\nAnswer: 53*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2626955 rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*s - 13, -53 = 5547*y - 5588*y - 3*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-339)\/(-89835))\/((-3)\/(-15))\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*z - 12, -15 = 5*z - 10*z + 2*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*g = 13, 4*t + 19*g + 11 = 18*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let l(g) = -10*g**3 + 2*g + 5. What is l(i) - 5*x(i)?\nAnswer: -10*i**3 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/168*-4 - 42\/49. Which is the nearest to -2\/5? (a) -1\/2 (b) 1 (c) 20 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p**2 + 16*p - 99. Calculate f(6).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 7798508?\nAnswer: 23395524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/(11\/(-22)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, 17684, 0.55 in descending order.\nAnswer: 17684, 7\/5, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3590 is divided by 713?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -206410 divided by 3\nAnswer: -206410\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 4601711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s = 33*s + 572 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*70\/546*39*(-18)\/15.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 7*y - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose -4*m - 4*b + 286204 = 0, u = 5*b - 8 - 7. Suppose -2*v - 668452 - m = 0. What is v rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.02 - -0.02. Which is the third biggest value? (a) 0.1 (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*z + 5 - 6 + 123*z + (-2 + 2 + 2*z)*(1 + 3 - 5) in the form y*z + c and give y.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20381 - 12040. List the prime factors of p.\nAnswer: 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 916284757 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -19*t**6\/30 + t**4\/6 - 10*t + 13. Let r(p) be the first derivative of s(p). What is the third derivative of r(z) wrt z?\nAnswer: -456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5287631.2 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 -2599, -5601, -10605, -17611, -26619, -37629, -50641?\nAnswer: -65655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 l when four letters picked without replacement from {n: 3, l: 12}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7704 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l + 3041. Let p be 0*1\/2 - 0\/(-59). Is h(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90544 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 23 = -4*c, 4*u + 20 + 2 = c. Suppose -2*t - 3*t + 18 = 3*b, 5*t - 10 = 5*b. Suppose 0 = -4*g + 4*j + 8, t*g - 10 = j - c*j. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r - 14. What is the units digit of n(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*j + 12*j**2 + 537*j - 957*j.\nAnswer: 12*j**2 + 91*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/570 or 31?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 1.3. Let c = j + -1. Let k = -0.331 - -3.331. What is the nearest to 0 in k, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -4, -10, -20, -34, -52?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/1 + (-26)\/(-30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**3\/3 + 19*i**2\/2 + 4*i - 5. Let b be n(16). Suppose -12 + b = 2*z. Calculate the least common multiple of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2\/17, 5\/19?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z - 68. Calculate u(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 d when three letters picked without replacement from xzwdzdxddqxzed?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -116*m**2 + 7 - 3*m**3 + 77*m**2 + 15 - 15*m + 9*m. What is the remainder when f(-13) is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2599985 and -104.44?\nAnswer: 2599880.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*v + f - 3, -5*v + 5*f = 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a decade in months?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*v + 52*v - 210. Sort 2, 0, 4, v in decreasing order.\nAnswer: v, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7546 and 22.\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 26*k - 42. Calculate o(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 1281654?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1727*t**2 + 29*t + 26. What is the thousands digit of l(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538 is divided by 18\/(-45)*(-75)\/6 - -44.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117967942 to the power of 1\/3, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 1 - 8*f**3 - 1 - f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 a when three letters picked without replacement from hhfcfffachhfyff.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 70, 110, 150?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 15343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2162 + -1521. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/35634 + 4418663\/1674798. Does z = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 divided by -6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/15*((-72450)\/(-92))\/(-63)\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -13359.\nAnswer: 1335.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 - -312. Suppose -5*a + u = -x + 5*x, 180 = 5*a - 3*x. Suppose 0 = -a*q + 31*q + 8. 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(i) = 4*i**2 + 43*i + 123. Calculate s(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 1 - 1)*(-806 + 372 + 235)*(u - 3*u - u) to the form t + p*u**2 + a*u and give p.\nAnswer: 597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + 140. Calculate the greatest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c + 3*c + 48*c = 1862 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396\/(-24)*(-2 - 138) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384579 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 9 - 4 - (6 - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7714845 (base 10) in base 5?\nAnswer: 3433333340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57394 is divided by 2050.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from fsfsfs.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 28*v**2 - 53*v + 26. Calculate i(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -65?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 122403533 (base 6) to base 7\nAnswer: 26046216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -2134\/1383 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5188 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10139, -10145, -10151, -10157, -10163?\nAnswer: -10169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -13. Let m = -395725.60400015 + 395733.604. Let t = x + m. Round t to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1469 + -1454. Solve -16*a = h*a - 186 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530348 is divided by 1612.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4) + (-5)\/((-50)\/17)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328335 and 14028.\nAnswer: 219327780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*f + 9*f - 13883, 11102 = 4*f - 2*c. Let n be (-9)\/(0 - 12\/2776). Suppose f = 4*i + 4*w, -i - n = -4*i - 2*w. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -1 + (-10 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/30 + 7\/15. Suppose -o - 7 = -2. Which is the second biggest value? (a) o (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7637 is divided by 2381?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 6. Let m be v(-6). Let u be (-1)\/((-3)\/m)*-2. Suppose p - u = 3*s, -s = p + 2*s - 4. Solve -2*h - p = 0, 5*d + h + h - 10 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7 + 115*x**3 + 2 - 21*x + 28*x - 16 + 15*x**3 - x**2. List the prime factors of u(2).\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*b + w + 335, -2*b + 2*w + 126 = 0. Let a(i) = 19*i - 10. Let u be a(7). Let g = u - b. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a factor of 676140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5\/3, -107843, -2.9 in descending order.\nAnswer: 5\/3, 0.1, -2.9, -107843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 177?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 10:55 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 7*s + 13 + 12*s - 13.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u, -3*u - 16 = -6*q + 2*q. Suppose -31 = q*j - 735. Let z = 56 + -40. Calculate the greatest common divisor of z and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/20 - (6 - -2)) + 135\/(-132)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 1. Let z(a) = -108*a + 20*a + 23*a + 5 + 32*a + 12*a**2 + 27*a. Give 6*d(j) - z(j).\nAnswer: -12*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f - 21. Let i be d(9). What is the highest common divisor of 40 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-4)*a)*a*a**(-5)*(a*a**(-2\/5))**(-11\/5)*(a\/(a**(-1)*a)*a)**(2\/13)*a*a**(2\/9)*a*((a\/(a*a**(2\/5)\/a*a*a))\/a)\/a assuming a is positive.\nAnswer: a**(-6406\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202112011012102 + 12?\nAnswer: -202112011012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 - 15264*b**4 + 19322864*b**3 - 8108585344*b**2 - 77291520*b + 32434585600 = 0.\nAnswer: -2, 2, 1096, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 353097251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 15. Let w be s(0). Let t = w + -10. Suppose -347*v = -327*v - 120. Solve 0 = t*p + v + 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -175. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 10*l = -5*a + 5, -4*a + 13 = 5*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632259, 632263, 632269, 632277, 632287?\nAnswer: 632299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r + 5, 0 = 4*v - 5*r - 3. Suppose h - 656 = -v*b, 1802 = -5*h + b + 5137. Find the first derivative of c**4 + 2 + 666*c**2 - h*c**2 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 67.438.\nAnswer: -72.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -1.875.\nAnswer: 5.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*a + 2*v - 42, 7*a + 217 - 235 = -2*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*b = 3*x - 231*b + 51, -b + 5 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/23868621 and 64\/297?\nAnswer: 262554831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j. Let c = 2 - -2. Suppose -2*k + c*f = -494, f + 1 + 4 = 0. Let u(y) = 237 - k - 3*y. Calculate s(u(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 24 = 10*s. Is 3102 + s\/(-24)*20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -63\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k + 76 = -54 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 u when three letters picked without replacement from iiiiuuiiiqqiiqiq.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 12. Suppose -2*f = j - 11, 3*f - 2*j - 3 = a. Let i = 2 - 3. What is the third smallest value in -3, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q - 11. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1651016 (base 12) to base 11.\nAnswer: -2651369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/18*(-12)\/8*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -585245\/2678 + 2835\/13. Find the common denominator of v and -57\/824.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, 0.29, -0.04, -0.16, -0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162 divided by -3.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 4752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130341, -130348, -130355?\n\"Answer: -7*q - 130334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1659 is divided by 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*u)*(2*u - 4*u + 0*u)*(0 - 1 - 2)*(2*u + 4*u + 2*u).\nAnswer: 144*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80228 - 40938. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2822 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**6\/15 - 12*y**5\/5 + 92*y**4\/3 - 160*y**3 + 400*y**2 - 123*y. What is r in u(r) = 0?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334101727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15573137?\nAnswer: 15573137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8437 = -q, -23*q + 24*q + 2*p = 8458. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(-18)\/r)*r))\/(r\/(r*(r\/(r\/(r\/(r\/r**(-1\/28))))*r)\/r)))**(-7) assuming r is positive.\nAnswer: r**(533\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)*p)\/p**6*(p**(2\/5))**29 assuming p is positive.\nAnswer: p**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssgsggsseessegs. Give prob of sequence ees.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171.3281 - -3.1619. Round r to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 12:42 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -38131 in descending order.\nAnswer: 5, 1, -38131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Suppose h*v + 3*v + 2*c - 34 = 0, 0 = -3*v + 2*c + 14. Let y = 38 + -16. What is the smallest common multiple of y and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2, 26375, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 43*r**2 - r. What is l(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-35) + 8\/5. Which is the second smallest value? (a) 0.4 (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 4:28 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 30*w + 18. Let t(q) = q**3 + 5*q**2 + 2*q - 6. Let x be t(-5). Let z be m(x). Let f = z - -49. Is f a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -3, -17, -51, -111, -203?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 128*y**2 + 3948*y + 8505. Determine h(69).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1, -o - 2*a - 3 + 7 = 0. Suppose 4*g + 3*f = -383994, -o*g + 2*f - 191994 = 5*f. Round g to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1684486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2425792 by 5228.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9012*b**2 - 18028*b**2 + 9027*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/130)\/((-142)\/(-10) + -14)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -5 + 3 - (3191\/2 + 4)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21395 and 2090?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 123. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41332 + 41334. Solve 3 = h, 0*a + 2*h = d*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 169*g - 3741. Is u(50) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 13. Let o be c(13). Suppose h + 4 + 2 = o. Let w(u) = -21*u - 17. What is the units digit of w(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 86009396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 128.175 from -300655.\nAnswer: -300783.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(-10)\/(-8) + 347.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 2. Let u be o(-2). Let f = 48 - 3. Let p = f - 41. Solve -10 = 5*z + 2*d, -p*d = 3*z + d + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76327997933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 525 - 555 = -5*h, 2*h + 195*o + 931 = -2*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 divided by -166?\nAnswer: 271\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204607 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (0 - (-18 - (-22 + -4))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g + l + 8, -4 = g + 2*l. Let y = -2.5 + 2. Which is the second biggest value? (a) y (b) -5\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 2. Let p(x) = x**3 - 2*x**2 + 4*x - 5. Let a be p(2). Let b(l) = -1 + 1 - 3 - l. Give a*b(t) - 5*j(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 3*u - 2. Let g(f) be the first derivative of -f**4 + 7*f**2\/2 - 4*f + 5. Let c be 210\/(-35) + (-9)\/(-3). Determine c*g(d) + 7*r(d).\nAnswer: -2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533210 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.276, 0.\nAnswer: -0.5, 0, 0.276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 1 = 0, 515*i + 4*b - 20 = 519*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 294 - 296.94. Let a = -702.077 + 699. Let b = x - a. What is b rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36033261 - 0.909.\nAnswer: 36033260.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8669125 by 1115.\nAnswer: -7775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110880703?\nAnswer: 43, 2578621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - l = -12*n + 6, 4*l = n + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -39. Suppose 0 = 18*g - x*g + 2. Suppose -6*j = -g*j - 44. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63667383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -491013, -982031, -1473049?\n\"Answer: -491018*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50\/6769 + -111182\/10607023. Let l = 77719115858001\/34474 + -2254426988. Let f = q + l. Calculate the common denominator of f and 79\/230.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Let z(x) = p*x**2 + 3*x**2 - 4*x**2. Let k(q) be the first derivative of 2*q**3\/3 - 1. Determine k(z(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.1874 millennia to decades.\nAnswer: 85418.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195503 is divided by 5423?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -0.2594784.\nAnswer: 0.18163488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**19\/w)**(-11) assuming w is positive.\nAnswer: w**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39103.016 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5896*m**2 + 968*m + 1088*m + 2320*m**2 + 995*m**2 - 731*m wrt m.\nAnswer: 18422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18640 - -18657. Solve -h*i = 63 - 46 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+496800763237\nAnswer: 496800763236.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*1\/3)\/(2\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18100 by -100.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a - 10. Suppose -2*z + 118 = -a*s, 3*z + 2*s + 0*s = 202. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + t + 0*t - 157 = 0, -2*k - 5*t = -49. Suppose 4*l = -k - 8. Let a = 29 + l. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18220 - -18222. Put 18, 5, q, -2, -5 in increasing order.\nAnswer: -5, -2, q, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -529 + 528. Let g be -3 + 0 + -15 + 21. What is the closest to q in -1\/15, g, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 750, 746, 740, 732, 722?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 - 8*m**2 + 294 - 146.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987*n = -991*n - 2*g - 68, 0 = -n - 4*g - 143 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert 483702.2 nanograms to milligrams.\nAnswer: 0.4837022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by 12?\nAnswer: -103\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhhhfffffffhhfhffff. What is prob of sequence ffh?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87, -85, -75, -51, -7, 63, 165, 305?\n\"Answer: v**3 - 2*v**2 + v - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3217164258 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -28*z**2 - z + 7. Let n(s) = 14*s**2 + s - 4. Let h(i) = -3*b(i) - 5*n(i). Let o be h(-1). Let t be (-36)\/(-10) + 6\/o. Solve 6*d + 10 = t*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:43 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-190)\/(-25)) + 4. Which is the third biggest value? (a) 1 (b) s (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -209, -439, -763, -1181?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, -32, -20, 8, 58, 136?\n\"Answer: f**3 - f**2 - 2*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by 649?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -2*u + 4*u. Let w be 4\/(-5)*20\/(-1). Calculate the highest common factor of u and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552172 divided by -4453.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/(-60) - (-14)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161268 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Let b be 820\/287*21\/2. Suppose -f - b = -o*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 - o**2 + (-1 + 0 + 2)*(3 - 3 + 1)*(-2*o**2 + 0*o**2 + o**2).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 + -3 + 12. Suppose -2*j = -g + 19, -2*g - z - 2 = 2*j. Let v(n) = -n**3 - 7*n**2 - 5*n + 17. Is v(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(-2)*2120\/(-4505). Solve -q*z = -3*b - 5, 7*b - 4*b = -9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + t = y + 231, -5*t = 0. Let o = y - -74. List the prime factors of (4 + o - -55) + 1.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 135*b**2 + 63*b - 420. Calculate i(-68).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.440243 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45469 - -46430. Calculate the remainder when 970 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(2\/121)\/(x**4\/((x*(x\/(x*x*x**(1\/5)\/x))\/x*x)\/x*x)))\/((x*x**(4\/3)\/x*x*x)\/(x*x\/((x\/(x*x*x*x**(2\/9)*x))\/x*x)))**(-2\/99) assuming x is positive.\nAnswer: x**(-159496\/49005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-2\/11)\/q))**50*q**(12\/7)\/(q\/q**(-2)) assuming q is positive.\nAnswer: q**(12151\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 440064?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2181 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*r = 5, 4*m + 2*r + r = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/5 and 35\/326.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/(6\/(-216)). Let j be 15\/4 - (-6)\/t. Suppose -2*a = -0*a - j*w - 18, 5*w = a - 3. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*5\/(385\/(-22)). Sort 0, w, 0.1 in increasing order.\nAnswer: w, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -40475*m + 5. Let k(x) = -10116*x + 1. Calculate 9*k(w) - 2*t(w).\nAnswer: -10094*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -5*v + 2*q + 15, -14 = -4*v - 3*q. Let t be (0 + (-1)\/3)*(-6 + 0). Find the third derivative of 10*w**2 + 29*w**5 - 35*w**v + 0*w**t wrt w.\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-27) - 6\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -110?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 7*x + 80. What is x rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 0)*(-4 + 1 + 2)*(-199 - 207 + 62)*((-4 - 1 + 3)*(1 - f - 1) + 6*f - 12*f - f) in the form o + b*f and give b.\nAnswer: 5160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3981 (base 11) to base 6\nAnswer: -35535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7846 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2295 + 0.2495. What is the nearest to 2 in -1\/4, -2\/5, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5149010, -5149002, -5148994?\n\"Answer: 8*l - 5149018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m - 54 + 54 in the form k*m + t and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1706243\nAnswer: 1706245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2464 - 2465. Let u = 35.2 - 11.7. Let x = 23 - u. Which is the second biggest value? (a) 5\/4 (b) 4 (c) v (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7059 (base 16) in base 11?\nAnswer: -427a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.1 (c) 0.98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 107083 divided by -24\nAnswer: -107083\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/13))**(-10)\/((t*t**(-9\/5)\/t*t)\/(t\/(t*t\/t**(-1\/6)))) assuming t is positive.\nAnswer: t**(-3143\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5)*-2*10. Let b(i) = -4*i + 11. Let d(a) = -9*a + 17 + 25*a - 11*a - 11*a. What is p*b(x) + 5*d(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35\/6 - 22\/3. Let m be (1\/10)\/(((-14)\/(-6))\/7). Let p = -1\/13 - -44\/65. Sort m, w, p in increasing order.\nAnswer: w, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(1053) + (0 + (sqrt(1053) - (sqrt(1053) + 0)) - sqrt(1053)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20450.6 times 0.4?\nAnswer: 8180.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/((2 - -1)\/3). Find the second derivative of 45*h**5 - y*h - 27*h**5 - 9*h wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (-4 - -9) - -176 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(((-2)\/(-6))\/(82\/1230*-5)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1472 = 5*o - o. Find the common denominator of o\/(-18) - 18\/(-81) and (-4)\/(-6) - 2\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819 and 1585129.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-19 + (29 - -10)) - -73.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 96*c - 1602. What is y(-74)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500275.\nAnswer: 5, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4117 - 4119. Which is smaller: g or 4034?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 - h - 2. Suppose 0 = 3*x - 2*x - 11. Let n(j) = -17*j**2 + 3*j + 5. Let b = 41 - 27. Let f be (-182)\/(-49) + 4\/b. Determine f*n(k) + x*m(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10583?\nAnswer: 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 884 and 0.02 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s + 2*s + 8*s - 4*s**2.\nAnswer: -4*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 20085, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-11)\/(-55)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 2*b - 40. Let y be l(0). Which is bigger: -37 or y?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)*q**5*q**(2\/5)\/(q**(2\/11)\/q))**(-2\/31))**(-13\/4) assuming q is positive.\nAnswer: q**(3731\/3410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c4 - 3303?\nAnswer: -322e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 9*i**2 + 21*i - 1. Calculate y(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**3 + 6*a**3 + 12*a**3)*(-31 - 36 + 3)*(0 - a + 0).\nAnswer: 704*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 301*a**6\/15 + a**5\/20 - 256*a**3 + 922*a. Find the second derivative of g(y) wrt y.\nAnswer: 7224*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/26 and -21\/3739130.\nAnswer: 48608690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 8) to base 12.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12345 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251005 and 1785?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -7*y**3\/2 - 2*y**2 + 2*y + 478. Calculate c(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (13 - 3 - 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1392696 divided by 414\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 2*w. Let b be d(-3). Let k = b + 36. Calculate the greatest common divisor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/67 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 16, a: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjrv when four letters picked without replacement from jjvccjrrjoosvrjjrro?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01038918 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5029215 to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 10. Let d be y(-5). Suppose 5*p = -2*u + 5*u - 49, d = 5*u + 2*p. Calculate the smallest common multiple of u and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 + 34*o + 32 = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49448679 by -7523.\nAnswer: 6573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2612708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:08 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/84 - (-836)\/28. Suppose 0 = 49*n - v*n - 171. What is the highest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-18) - 5058240\/(-270). Suppose -72*v + l = -55*v. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4.88. Let r = x - 0.08. Which is the third smallest value? (a) r (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, x: 3, i: 4, w: 1, f: 4, y: 1}. What is prob of picking 1 i and 1 w?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6098008um to nanometers.\nAnswer: 609.8008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*n**6 + 7*n**3 + 5*n**2 - 11 wrt n.\nAnswer: 1440*n**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 7:11 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 + 33. Let f = y + 443. Suppose -2*v - f = -6*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 8. Let n be c(0). Let r(l) = -2 + 3 - 8*l + 0 + 6*l. Let b be r(n). Solve -3*y + 21 = 4*v - v, -4*y - b = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11654 + -209839\/18. Let u be (-6654)\/831*(-18)\/88. Let n = -13\/277 + u. Calculate the common denominator of n and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -74\/7. Which is the nearest to -1\/4? (a) y (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -1184\/741 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 137389 + 275572 - 138183 + u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1111100000101110101 (base 2) to base 6\nAnswer: 14521045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/77 and -27\/469.\nAnswer: 5159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.8 + 55. Which is smaller: -0.01 or w?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 7*i - 7. Let t be k(7). Let o = t + 12. Suppose -2*s - 553 = -o*s - y, -533 = -3*s + 4*y. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (3*2*sqrt(432) - (2 + sqrt(432) - sqrt(432))*1) + 1)**2.\nAnswer: -576*sqrt(3) + 15563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 780426 divided by -260142\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5 - 8 + 19 - 19*o + 23*o - o**2. Let r be l(6). Solve r*p = 7 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 2*m**2 + 2*m - 6. Suppose -4*w = -9*w. Suppose w*g + 4*g = 3*p + 31, 0 = -g + 4*p + 24. What is the tens digit of u(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737152 rounded to the nearest one thousand?\nAnswer: 737000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2394467.\nAnswer: 17, 83, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u + u + 2*u)*(5*u**2 + 3*u - 3*u - 2).\nAnswer: -35*u**3 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 10*p**4\/7 + 396*p**3\/7 - 40890*p**2\/7 - 1636828*p\/7 + 94464 = 0.\nAnswer: -63, -41, 2\/5, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 4*h - 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(180))\/sqrt(3).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.23 + -2.66. Let o = g + -3.17. What is the third smallest value in o, 0.1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 2:49 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 227819453*x - 36749774?\nAnswer: 227819453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/9 - 52*h**2\/3 + 403648*h\/3 + 396054848\/9.\nAnswer: -2*(h - 874)*(h + 476)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -945 - -2637. What is the highest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 4*i + 2. What is t(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2318693298.0000043 - 2318693199. Let f = j + -99. What is f rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, d: 2, v: 2, l: 4}. Give prob of sequence dud.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -22*a - 2. Let g be 0*((-3)\/(-3) + -2). Let v(o) = o - 1. Let k be v(g). Let l be w(k). Solve 9*s - 4*s + 3*t = 8, 5*t = -l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*q - 36 = 0, z - 3*q - 2266 = -2285 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 73*g - 1741 + 638 = 0, -5*a + 13*g = 18*g + 65 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623668 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 7*g + 481 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 divided by -227?\nAnswer: 848\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -a, 0 = 3*c + a + 4 + 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/1485*-341 - 19?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**4 + t**2 + t. Let m(p) = -25*p**4 - 50*p**3 - 85*p**2 + 280*p - 180. Let v(b) = 20*i(b) + m(b). Factor v(q).\nAnswer: -5*(q - 1)**2*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/3 + 55\/21. Put -4\/5, i, -10, -0.2 in decreasing order.\nAnswer: i, -0.2, -4\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/7)\/((l*(l**(1\/2)*l)\/l)\/l*l))\/(l**(2\/5)*l\/l**(2\/7)*l))**(27\/5))**(-33) assuming l is positive.\nAnswer: l**(234333\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 6*h**2 - 12*h + 15*h**2. Let g(r) = -5*r**2 + 6*r. Let f = 32 - 43. Calculate f*g(u) - 6*n(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -5 + 13 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 7*o**2 - 5*o + 1. Let n be g(-6). Let i be (99\/308)\/(n\/(70\/(-12))). Let v = -0.8 - -0.3. Sort -3\/2, v, i.\nAnswer: -3\/2, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 991140 - 1982340 + 991143 - 3*a.\nAnswer: -a - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 23255324?\nAnswer: -23255330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 0*m**2 - 12 + 1 + m + 8*m. Let a be b(8). List the prime factors of (2 - (0 - a))*-17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a + 16. Let t be l(-3). Let y = 22 + t. Let p(m) = 4*m + 8. Determine p(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/109 + 319\/436. Let w(d) = -d**3 + 8*d - d - d + 4*d**2. Let a be w(5). What is the nearest to 1 in a, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6828162 milliseconds to minutes.\nAnswer: 0.00001138027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u - 4*a - 12, -5*a = -5*u + 15. Suppose u = b - 2*b - d + 10, 40 = 5*b + 3*d. Suppose -2*m + b*w = -20 - 40, 0 = -m + 3*w + 29. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 + 6*h + 7. Let x be 40 - 4\/(8\/(-6)). Suppose 0 = -5*j + 13 - x. Let z be a(j). Solve -2*d + z = -3*w, -d = 2*w + d + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let k(v) = 233396*v. Determine r(k(i)).\nAnswer: -466792*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9*s + 135. Let r = 139 - 33. Let c = r + s. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 986 and 1452446?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*s = -2*l - 76*s + 9, 0 = 2*l - 4*s - 24. Solve 5*i + 18 = 2*d, -i = 6*d - 7*d + l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/2))\/(x\/x**(-5))*x\/(x*(x*x**(2\/9))\/x)*x**(2\/5))\/((x**(2\/9)*x*x**(1\/2)*x)\/(x**(2\/5)*x\/x**(-5\/6))) assuming x is positive.\nAnswer: x**(-433\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55839928 + -52936236869\/948. Let w be -4 + 19\/((-13509)\/(-2802)). Let n = l - w. Find the common denominator of n and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -376 - -374. What is the third smallest value in j, -1, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.645 - -8.375. Let b = -0.33 + g. Round b to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 3. Suppose 10 = -b + 7. Suppose 2*x - 5*x = -6. Let c(l) = -x - 1 + 4. Calculate b*c(f) + a(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 0*c**2 + c**2)*(1 - 1 + 2*c) - 9*c**3 - 9*c**2 + 9*c**2.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 25, 59, 107, 169, 245?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 122*l**2 - 34*l**2 + 1 - 86*l**2 - 1. Let j(i) = 21*i - 46. Calculate j(q(b)).\nAnswer: 42*b**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1658795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -0.06 (c) 2639.8 (d) 0.3 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b + 0*b**4 - 1\/525*b**7 + 0 - 1\/600*b**6 + 0*b**5 - 6*b**2 - 1\/1680*b**8 + 0*b**3. Factor s(d).\nAnswer: -d**3*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-8)\/(-320)*10\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let p(l) = 175*l + 2. Let x(y) = -357*y - 4. Let t(q) = -5*p(q) - 2*x(q). Determine t(o(u)).\nAnswer: -322*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 - -83. What is the biggest value in j, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.7029, -3\/5, -13?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 14927?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27*o + 200. Determine t(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 1181?\nAnswer: 70.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-27)\/(-576) + 5\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -4 (c) -1\/10 (d) 3\/2 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 16. Let x = -24 - w. Is x greater than or equal to 24\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 356142388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -305*q**3 + 6348*q**2 + q*v - 2577667*v wrt q.\nAnswer: -915*q**2 + 12696*q + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 979258 and -0.4.\nAnswer: -391703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14142 divided by -63894.\nAnswer: -2357\/10649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.8 - -3.8. Let n = g + 22. What is the closest to n in -5, 3\/4, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -4. Let q(o) = 5*o**2 + 8*o - 124. Let t be q(-8). What is the highest common factor of m and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 39, 5, -2\/27, 13\/3, -3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 divided by -1056?\nAnswer: 401\/1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y - 7. Suppose -p - p = -z + 13, 2*z = 3*p + 23. Solve -y*i - z = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-385)\/15))\/(((-20)\/(-12))\/(-5)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k**2 + 729*k - 91. Let m be g(91). Let c(q) be the first derivative of -32\/3*q**3 + 34 + m*q**2 - 16*q. Differentiate c(a) with respect to a.\nAnswer: -64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260 = -25504*h + 25574*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) 0.02 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 796, 1584, 2380, 3190, 4020, 4876, 5764, 6690?\n\"Answer: d**3 - 2*d**2 + 787*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2774562 = -p. Suppose -2*b = -b - p. Suppose -4*t + b + 1172719 = 0. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -98*v**2 + 7*v - 1. Let n(x) = -164*x**2 + 6*x - 2. Determine 3*n(r) - 4*s(r).\nAnswer: -100*r**2 - 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 25 + 15. Let k = -57 + b. Let w = 69 + k. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0 = -30. Let b(t) = t**3 - 10*t**2 + 7*t + 28. Let h be b(9). What is the greatest common factor of n and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5334415 (base 6) to base 11\nAnswer: -169531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*h - 4*i - 17, -4*h - 10 = -i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + x - 28, -4*f - 3*x + 42 - 8 = 0. Suppose f = -12*c + 17*c. Factor -1\/4*b**c + 1\/2 + 1\/4*b.\nAnswer: -(b - 2)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjhjjjjnjjjjjjjjj. Give prob of picking 2 j, 1 h, and 1 n.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245.3 + 244. Let y = -0.08 - -0.58. Put 3, 1, y, c in decreasing order.\nAnswer: 3, 1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10a64 (base 13) to base 9\nAnswer: -45543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i + 2. Let b(n) = 10*n - 2. Let v(r) = 5*b(r) + 4*p(r). Suppose 0 = -23*y - 11 + 264. Let m(u) = -3*u + 1. Calculate y*m(h) + 6*v(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/12 + 11*b**3\/6 - 7*b**2 + 4*b - 2. Suppose -d = -4 - 6. Give i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -207203, -414370, -621537?\n\"Answer: -207167*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*6*(sqrt(539) + 1))**2.\nAnswer: 504*sqrt(11) + 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38913 and 595.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1445 in decreasing order.\nAnswer: 3, -4, -1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -7*u**6\/2 - 8*u**3\/3 + 4. What is the third derivative of t(d) wrt d?\nAnswer: -1260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**6\/14 + 27*f**5\/35 - 6*f**4\/7 - 128*f**3\/7 + 576*f**2\/7 - 768*f\/7 - 75. Determine r, given that i(r) = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/5916573 and -79\/72.\nAnswer: 47332584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 25, 53, 81?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, i: 2, l: 3}. What is prob of sequence iw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38807?\nAnswer: 151, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 + -241. Let o = g + 83. Let t = o - -262. What are the prime factors of t?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 154*z + 2. Let u(g) = g. Determine u(o(w)).\nAnswer: 154*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 4. Let b(g) = 1. Let l(w) = -4*b(w) - t(w). Let i(h) = -5*h**2 + 153 - 153 + h**2. Determine l(i(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 8 in descending order.\nAnswer: 16, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1\/4, 1, -2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 15, 2, -5.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*f + f - 3*f to p*f + n and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 326 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.6 + -32. Let j = q - 0.6. Let v(o) = 2*o**2 + 2*o - 1. Let n be v(-2). Which is the second smallest value? (a) n (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Suppose 4*n - 110 = -n. Suppose 3*i = 5*i - n. Solve -2*z + i = -2*f + v, 0 = 3*f + 3*z - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + z - 2*z. Calculate the remainder when 14 is divided by a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 11 = -k, 15*k + 5*l - 35 = 10*k. Let p(v) = -v**2 + 15*v - 5. Let s be p(5). What is the highest common divisor of k and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 820.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 2. Let v be (6\/(-15)*134)\/(20\/(-50)). Let g = v - 35. What is the highest common factor of m and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + ((-1 + sqrt(75) + sqrt(75))*5 + (-5 + (1*sqrt(75) - sqrt(75)) - sqrt(75)))**2.\nAnswer: -900*sqrt(3) + 6179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 278*h - 3931. Let t be i(123). Factor -73728 - 2\/3*z**t - 152064*z - 292\/3*z**4 - 83040*z**2 - 14402\/3*z**3.\nAnswer: -2*(z + 1)**2*(z + 48)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-14)\/(-63)*-6*1375\/(-660).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 137810000 to the nearest one million.\nAnswer: 138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 2. Let s(t) = 0*t - 2*t - 3 + 3*t. Let x be (-48)\/(-40)*5\/(-2). What is x*s(c) - 5*f(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (0 - 0) - -2) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + ((-18)\/(-2))\/3. Let s(h) = h - 4. Suppose 5*p = -3*y + 30, 4*p - 3*y - 24 = -y. Calculate the lowest common multiple of s(i) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2073 and -25\/1833?\nAnswer: 1266603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/45)\/((-14)\/105)*-4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2542 = 5*d + 2512 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13895360 is divided by 7298?\nAnswer: 7266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3919?\nAnswer: 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.729 + 0.329. Let w be -4 - (-45 + (0 - 0)). Let l = w + -45. What is the third smallest value in l, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12966\/25 or -520?\nAnswer: -12966\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 204669989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Suppose 3*d - 13 = n, n = 2*d - 9 - 0. Let y(h) = -h**3 - 3*h**2 + 5*h + 6. Let t be y(-4). Let l(s) = s**t - 2*s - d*s + 6*s. What is l(v(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + t - 2, -3*t = -5*g + t + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 5 (c) -2\/13 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-23)*(-11 + 583\/55).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - l**2 + 4*l + 1968. Let j(p) = 58*p - 522. Let m be j(9). What is the tens digit of z(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1229507377 divided by 4?\nAnswer: -1229507377\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 441, 653, 867, 1089?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 - 48*s**2 - 22*s**2 + 9*s**3.\nAnswer: 2*s**3 - 70*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25953744 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 44. Let y be r(-26). Do y and 85 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 0.55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855 + 850 = -11*r. Let c = -39 - r. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {p: 8, m: 5, h: 1, s: 1, i: 2, n: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2*d + 2*d + 426 - 332, 0 = -3*d + 19*g - 34 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 717, 705, 671, 603, 489?\n\"Answer: -2*i**3 + i**2 - i + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167405063*y**3 - 1613*y**2 - 29*y + 235.\nAnswer: -1004430378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/60 - q**4\/24 + 2*q**3\/3 + 8*q**2. Suppose 2*r - 14 = 4*r. Let y be f(r). Round y to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 2, r: 1, j: 4}. What is prob of sequence ju?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddcddcdcdd. What is prob of picking 1 d and 3 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let i be (6\/4)\/3*l. Let a be (-48)\/30 + 3\/(-15)*2. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from krrkrraaraaaaaaa?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1696*t. Let p(x) = 5*x**2 + 12. Let k(j) = 14*j**2 + 34. Let d(s) = 6*k(s) - 17*p(s). Give d(i(q)).\nAnswer: -2876416*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9708680157 - 9708680157 + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11135, -22265, -33395, -44525, -55655?\n\"Answer: -11130*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q - 23. What is the tens digit of x(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*z**2 - 28*z**2 + 34*z**2)*(1 + 2 - 1).\nAnswer: 368*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q + 1. Let j be g(0). Suppose 3 - j = -2*m. Let w(k) = -4*k**3 + k**2 + k + 1. Calculate w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148.4 - -148.8554. Let i = -0.46 + n. What is i rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 + v**4 + 2*v**4 + (-2*v + v - v)*(47*v**3 - 234 + 234).\nAnswer: -95*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7998 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 3:09 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 2\/5, -0.1, 0.0045, -83 in descending order.\nAnswer: 1, 2\/5, 0.0045, -0.1, -2, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149478 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 31*t - 62. What is the remainder when g(6) is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 12. Suppose h*y - 3*y = -5*y. Suppose -3*a + 552 = 4*t, -2*a + 6*t - t + 368 = y. Does 43 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 1) + (-19 - -113) + -21?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1741.61291 rounded to zero dps?\nAnswer: -1742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1404))\/(sqrt(3) + sqrt(147) + sqrt(147) + sqrt(147)*2) + -5.\nAnswer: -5 - 18*sqrt(13)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - h - 3*h - 2*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 314512?\nAnswer: 314523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + 0*q - q**2 + 4*q - 2*q to m + c*q**2 + g*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 958554829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*((-5)\/60*-9)\/((-15)\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/700 and -13\/67342170?\nAnswer: 673421700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/66 - (2 + 33668\/(-132) + -12) is divided by 238.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*y - 144*y + 226*y + 1081 = 0 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 4, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -30. Let d = n + 15. Let s = 7 - d. Solve -s*l - 4 = -7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-329)\/49 - (-140)\/196?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -622*p**2 + 2*p + 1. Let u(i) = -2890*i. What is n(u(k))?\nAnswer: -5195006200*k**2 - 5780*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1041 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 40076 divided by 4\nAnswer: 10019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 1, o: 1, h: 2}. What is prob of picking 1 o and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -17 + (-3 - (-7 - -14 - 6))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8431, -16865, -25299, -33733, -42167, -50601?\nAnswer: -59035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -72 times 808243\nAnswer: -58193496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) + (-2)\/6. Suppose 5*i - 205 = -n*j + j, -205 = -5*i - j. Calculate the remainder when 245 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/1557, 4, 2\/541, -4 in descending order.\nAnswer: 4, 2\/541, -4\/1557, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) 0 (c) -4\/3 (d) 370 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372168380 rounded to the nearest 100000?\nAnswer: 372200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = -k + 3*k, -3*n = -3*k + 3. Let i(r) = -5*r - 80. Let d be i(-16). Solve 5*a + p + d*p + 8 = k, 0 = -5*p - 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -251*n + 6. Let p be a(-3). Suppose 3*u - 747 = -3*h, 3*u + 18 = -h + p. Suppose -3*y + u = 9. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -3497*l**4\/4 - 995*l**3 - 755. What is the third derivative of m(q) wrt q?\nAnswer: -20982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1683 + -1683. Let k(a) be the first derivative of 0*a**2 - 12 - 2\/5*a**5 + 1\/2*a**4 + x*a**3 + 0*a. Factor k(v).\nAnswer: -2*v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 166.\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 272.2, -120, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/((m\/((m\/(m**(-3\/2)*m))\/m))\/m))))**(-21) assuming m is positive.\nAnswer: m**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.9 + 9.9. What is the nearest to 2\/3 in z, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 55*c + 59*c + 4, -c = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*d - 6*d - 11, 5*a - d - 20 = 0. Suppose -5*c - 1 = -3*k, -2*c - 11 = -5*k - a*c. Solve -k = o - 0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23)\/4*(4\/(-1) + 8). Let t = 235 + m. Let f = t + -128. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 + 7*m + 3. Let p(u) = -u**2 + 1. Let b(i) = 6*p(i) - x(i). Let a be b(-7). Solve 0 = -4*w - 3*l - l + 24, 26 = 5*w + a*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 2*q**2 + q + 5. Let z be d(-2). Solve -6*u = z - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17529141 is divided by 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + 1 + 4)*-1. Let m be (j*(-3)\/7)\/((-145)\/1015). Determine g so that -6\/11*g**2 + 6\/11*g**4 - 4\/11*g**m + 4\/11*g + 0 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25476824.54501 - -2189909681452.45499. Let g = c + -2189935156200.000001079. Let x = g - 2077. What is x rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 33. Let o be l(-9). Suppose 3*w - 5*a = 65, -w + 75 = w + o*a. What is the lowest common multiple of w and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 4:52 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 4*p - 10. Let h be l(8). Let t = h + -59. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6614677?\nAnswer: 6614677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -587.\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1620)\/sqrt(5))\/((-2*sqrt(3888))\/sqrt(9)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 454*j**2 + 6. Let n(h) = h**3 + 455*h**2 + 5. Determine 4*n(o) - 3*z(o).\nAnswer: o**3 + 458*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 9*j - 6*j + 6*j + 0*j + 0*j.\nAnswer: 9*j - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diipuhrrd. Give prob of picking 1 r, 1 h, and 1 u.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4 + 391\/(-612). Which is smaller: -1\/7 or g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -18. Which is the second smallest value? (a) -0.01 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:08 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-77 - (-29 - 56)) + 16\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-784)\/9016*(-23)\/37.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1632575.1 take away -3269?\nAnswer: -1629306.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 223 = 4*b. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 20080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4\/5, -382\/9, 3, -2\/7, -0.01, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 118 = 11*u + 206. Calculate the least common multiple of 2998 and u.\nAnswer: 8994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-3380.\nAnswer: 16900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) -2 (c) -12\/85 (d) -3\/2 (e) -2\/13 (f) 4 (g) -188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkkh when four letters picked without replacement from {k: 5, q: 2, h: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37\/2 + -19. Let r = 0 - l. What is the second smallest value in r, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 45*j**2 - 64*j - 350. Determine d(-13).\nAnswer: -2729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 46*n + 130. List the prime factors of b(44).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -8.2?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 9779.4 (c) -2.4 (d) -1\/2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678355 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 386*j**3*m**3 - 10980*j**3*m - 3*j**2*m**3 + 5*j**2*m**2 - 2*j*m - 1621*m**3 - 2*m wrt j.\nAnswer: 2316*m**3 - 65880*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2833673.3 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(320) - ((sqrt(320) + 2 - sqrt(320)) + sqrt(320))**2)*1 + (-5 + -1*sqrt(320))**2) + -4.\nAnswer: -56*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let m(p) = -7*p - 4. Let w(d) = 7*d + 5. Let h(a) = 5*m(a) + 4*w(a). Calculate t(h(c)).\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*w**5 - 71696*w**4 + 26222*w**3 + 302*w**2 - 596*w = 0.\nAnswer: -2\/15, 0, 1\/4, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {u: 3, d: 4, c: 1, p: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1303611 + -1303610.200001. Let z = x + -0.8. What is z rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a19229 - 5?\nAnswer: -3a19231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - 0.37. Let r be (24\/(-10))\/(-4) - 1. Let i = 0.7 + -0.4. Which is the nearest to r? (a) -3\/8 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1321*h + 1002892 = -1319*h - 2*c, 3*h - 5*c = 1504328. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42222 to two decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 929 + 409?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:22 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*y**4 + g*y**2 + 27*g - 281*y**4 - 53*y**3 - 10 wrt y.\nAnswer: -48*g*y - 6744*y - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -21 + 80 - (1 + -4)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 54. What is the nearest to 0 in w, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*z - 4*v - 24 = 0, -4*v - 32 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81, 76, 67, 54, 37, 16?\n\"Answer: -2*c**2 + c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 603 and 180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19583 (base 13) in base 14?\nAnswer: 13d66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**6)**(1\/6)\/(u*u**(-3))**(-3\/5) assuming u is positive.\nAnswer: u**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15635 - -18761. List the prime factors of z.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 168 (b) -1\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 2*t - 5. Give h(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(60\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 4\/5 (c) 670 (d) -2 (e) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:31 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1347782, -1347781, -1347780?\n\"Answer: g - 1347783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126069\/1133 + 843\/103. Which is smaller: 120 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*g + 26*g + 1017762 = -19*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdk when three letters picked without replacement from hhhdgkfhd?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(1 + 1 + 1) - 4 + 6 + 0)*(4*f - 6*f + 13*f).\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**2 + 19*t - 21*t**2 + 11*t**2 - 4*t**2 + 8*t**2.\nAnswer: 7*t**2 + 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -17*t**3 + 82*t**2 - 113*t + 30. Let n(p) = p**3 - p**2 - p. Let m(u) = d(u) + 2*n(u). Suppose m(s) = 0. Calculate s.\nAnswer: 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2. Let v(u) = -185*u**2. Determine v(n(g)).\nAnswer: -2960*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 16. Let f be a(12). Let i be (-2 + -2)\/(1\/f). Suppose 0 = -0*m - 2*m + i. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 19*t**3 - t**2 + 45*t**3 + 7 - 16*t**3 - 7 as r + l*t**2 + h*t + v*t**3 and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -26*x**2 + 1212*x + 15. Let t be b(50). Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggq when four letters picked without replacement from jjggjygqaaaqqjyjggjg?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from rgi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - 5*b - 22, -12 = -2*g + 4*b. Let a(m) = 26*m - 8. Let p(x) = x - 1. Let w(u) = -a(u) + 6*p(u). Is 25 a factor of w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 614613098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-159)\/(-360) - 8\/20. Is g >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*y + 4*j, -2*y - y - 25 = 5*j. Let h(r) = -5*r + 3. Does 14 divide h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1345.1 * -221.\nAnswer: 297267.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33122123321 - -1?\nAnswer: -33122123320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2994 and 11898.\nAnswer: 5937102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 965626024?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 5, f: 1, b: 2}. Give prob of sequence bfj.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4*w - 14 = -4*i, 0 = 5*i + 2*w + 19. Let y be (i\/27)\/(2\/3). Which is the third biggest value? (a) y (b) -0.3 (c) 53 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 341?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - -0.2. Let r = k - 1.5. What is r rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2 - (-8 + 1 + 3)) + 45.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -11*v**5\/60 + v**4\/4 + 2*v**2. Find the second derivative of k(c) wrt c.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42112.8 + 0.5.\nAnswer: -42112.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.5071 or 2\/239?\nAnswer: 6.5071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9387, -13, -7 in decreasing order.\nAnswer: 9387, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, -0.2, -0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 73 (b) -36\/7 (c) 12.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(10)\/sqrt(2)*-5).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7205 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -43. Solve o = -3*l + 6 + y, -3*o + 13 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0096863168 rounded to 5 dps?\nAnswer: -0.00969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18438 divided by 3?\nAnswer: -6146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0 + 0 + 999679*s - 999651*s. Let x(p) = 241*p. What is x(i(q))?\nAnswer: 6748*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -42. Let q be (-2 - -4) + (-3 - -1) + a. Solve -u = j - q*j - 4, 0 = -u + 4*j + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85\/(-20))\/((-64)\/(-48)*(-12)\/64)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -120404*t - 240760. Determine x(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**17\/((a*a*a**10)\/a**(3\/2)) assuming a is positive.\nAnswer: a**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 - (-2)\/3. Sort i, 4, -5, -1 in decreasing order.\nAnswer: 4, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:11 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 18. Let j be m(-4). Find the third derivative of 3*s**2 - 5*s**6 - 3*s**2 + 9*s**j wrt s.\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83223581471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 15. Let f(z) = z - 10. Let i be f(10). Let c be i + 1 + (6 - 7). Solve 0 = -l*j - c + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12\/11, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 135\/75 - (-8)\/(-10). Sort n, 2, -7 in descending order.\nAnswer: 2, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmssmmmmmmmmmmsmmmm. Give prob of sequence msmm.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -286, 5, -4, 3, -2 in descending order.\nAnswer: 5, 3, 2, -2, -4, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in sixty-nine halves of a millisecond?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 y, and 1 r when three letters picked without replacement from {y: 1, f: 10, r: 7}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, a: 3, o: 4, k: 1, l: 4}. Give prob of sequence loro.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -5\/83, -3, -0.1, 4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 196360058 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*p = 19, 12*w = 7*w - 3*p - 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 3. Suppose 2*l + 7 = f - 2, -2*f = -5*l - x. Does 7 divide (-45)\/l*(-1 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3025*p + 7 = -3024*p, 4*q = -4*p + 9 + 19 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*m = 485*m - 23804. Suppose 4*b + 50 - 182 = 0. Calculate the least common multiple of b and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*l = -30, -l - 11 = -4*r + r. Suppose 0 = r*k - 80 - 32. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g**2 + 2 - 56*g**2 + 112*g**2 - 2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*d + 310 = 424*d - 3*l, 5*d + 3*l - 1406 = 0. Calculate the highest common divisor of d and 2691.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/15 + 1611*z**2 - 5*z. Let h = 2 - 2. Let r(a) = 2*a + h + 0. Give r(j(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1456*c**2*f**2 + c**2*f - 691*c*f wrt f.\nAnswer: -2912*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 divided by 27?\nAnswer: -307\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2631 = 41*k - 663. What is the nearest to k in -0.1, 58, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -344 + 1031\/3. Sort 0.2, 2, j, -6.\nAnswer: -6, j, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (2 + 0)) + 0. Suppose -2*p = 1 + m. Let g = -9 - -5. Put -2, p, g in increasing order.\nAnswer: g, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-18)*10\/24)\/(4730\/(-774))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**0*o))**14\/(o**(-6)*o**(-1\/4)))**(-2\/17) assuming o is positive.\nAnswer: o**(-25\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -1527?\nAnswer: -151b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1233*j - 6 = -1234*j. Solve 9*o + 33 = j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*60\/9*(-910)\/(-325)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3097481244 to the power of 1\/2, to the nearest integer?\nAnswer: 55655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/2 - (-900)\/(4000\/(-80))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4413.\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 12:10 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.08 + 0.62. Let v be ((-8)\/(-14))\/((-48)\/(-56)). Is u at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 116\/5*(-40)\/(-7). Let k = r + -10026\/77. Let g = k + -100\/33. Sort g, -5, 1 in increasing order.\nAnswer: -5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1. Let l(z) = z + 6. Let h(x) = l(x) - 2*p(x). Let v(a) = -5*a + 92. Let f be v(17). Does 15 divide h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -z + 22 - 17, -4*o - 25 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = 0, -14 = 3*c - 7*j + 2*j. Suppose 4*r = 5*r. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -349, 2, 0, -12, 3, -1 in ascending order.\nAnswer: -349, -12, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37774 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Suppose -4*y = c*n - 20, -1 - 1 = -2*n + 2*y. Determine q, given that 2*q**4 + 4*q**2 - 7*q**3 - n*q**3 + 3*q**3 + q**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/192 + (-11)\/(-6) + -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 14, 23, 34, 47?\n\"Answer: w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.636 and -0.1?\nAnswer: -2.0636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l + 2. Let m be a(7). Let y = m + -4. Suppose -2*k - 4*f + 8 = 0, -3*k = -0*f + f - 7. What is the least common multiple of y and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177837 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1171840995 and -161052.\nAnswer: -1172002047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2927 - -2927. Do f and 10\/63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 5347987?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54188 and 86977444?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/5280 and 169\/1320.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*z - n, -3*z - 2*z - n = 19. Let o(h) be the first derivative of -h**3\/3 - 7*h**2\/2 - 5*h + 109. Give o(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 17*y = 0. Let g be -1*(y - 0) + 0. Let j(c) = 2*c**2 + c + 115. Is j(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134423 divided by -6\nAnswer: -134423\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7984 + 25123. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 37, 57, 79, 103, 129?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Let h be l(3). Let i(t) = 40*t**3 - 3*t**2 + 17*t - 30. Let x be i(2). Is x\/h*1\/(-4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260cc4 (base 14) to base 8.\nAnswer: -4773774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25948904 divided by 8?\nAnswer: 3243613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*(-6)\/1. Suppose -2*v + t = v. Suppose 0 = -v*f + 4*f. Solve f = -2*r - u - 1 - 10, r - 4*u = 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43710 by 8742.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6225)\/225 + 2 - (-23)\/1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3320*m + 5206*m + 4180*m + 6478*m + 1344*m.\nAnswer: 13888*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -224*o**2. Let z(x) = -43876*x**2. Give z(f(b)).\nAnswer: -2201522176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 10:25 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -2*x**5\/5 - x**4\/12 - x**3\/2 - x**2\/2 + 1940*x. Give r(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/150)\/((-3)\/12). Let f = -94\/225 - q. Let m = -2.6 - -3. Sort f, m, -3 in descending order.\nAnswer: m, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*k - 2*k. Let i = -4 + -1. Let v = i - -6. What is the smallest common multiple of v and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 26*x**2 + 48*x + 7. Give y(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -3*a. Solve 4*u = -21*l + 17*l - 12, -a*l - 2*u = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 - -59.6. Let t = l - 56. What is the second smallest value in t, -0.4, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011 + 2110?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5, d: 1, u: 2, f: 1, q: 4, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 9 (c) -0.4 (d) -0.066 (e) -0.036\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - -1*sqrt(44)*2 - (2*sqrt(220))\/sqrt(5))**2 + sqrt(77)\/(sqrt(35)\/sqrt(20)) + 4.\nAnswer: 2*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1218, 4882, 10988, 19536, 30526, 43958?\n\"Answer: 1221*l**2 + l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/b**(2\/3))\/b))**(3\/7))**36\/((b**(-3)\/b)\/(b*b**(3\/2)))**(-11\/5) assuming b is positive.\nAnswer: b**(-281\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 2*a**4 - 2*a**3 - a + a**3 + a**3 to s*a**3 + y*a**4 + z*a**2 + q*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**2 + 455*h**3 + 3*h**2 - 439*h**3 wrt h.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, 54, 78, 102, 126?\n\"Answer: 24*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-6*(-35)\/(-30)). Is -2\/11157 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869\/5 + 4*4\/80.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.586908nm to micrometers.\nAnswer: 0.008586908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(5*-5*(-3)\/(-30))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 + 17739*q - 17740 = 0. Calculate q.\nAnswer: -17740, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, o: 3}. Give prob of sequence mm.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 1 e when three letters picked without replacement from {j: 1, e: 1, r: 3, z: 3, x: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 274 = 52. Suppose 6 = -5*n - 14, -5*n + a = 3*r. List the prime factors of r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.028 + 0.328. Let v = -0.13 + 0.2. What is the smallest value in m, v, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220112120 (base 3) in base 13?\nAnswer: 81b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4189*p**2 - 4077*p.\nAnswer: 8378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157167?\nAnswer: 3, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - a36561?\nAnswer: -a36560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51076*h**2\/3 - 197433600*h - 572382720000 = 0 for h.\nAnswer: -655200\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + -25 - (-5 - (-8 - -2))) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100558.6 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23669, 47878, 72087?\nAnswer: 96296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.54 * 0.4\nAnswer: -1.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5\/3, -2, -8, -0.3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 2, -2, 0.2, 793012?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1509*n**2*t**2 - n**2 - 3*n + 7307*t**2 wrt n.\nAnswer: 3018*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*l**2 + 2 + 9 - 1 + 0 with respect to l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6015 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -5\/2, 0.4, -1\/2, 46?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 44575859?\nAnswer: 891517180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35314, 35271, 35228, 35185, 35142, 35099?\nAnswer: 35056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, p: 5, y: 3}. Give prob of picking 4 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25014 * 1.4.\nAnswer: 0.350196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1 - 2*n + 6*n - 3*n. Let x(m) = -4*m + 12. Let r(j) = -12*s(j) - x(j). What is the remainder when 46 is divided by r(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)*(-4 + 4). Suppose 9*b - 2347 - 1415 = v. 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 nearest to 0.1? (a) 96 (b) -7 (c) 4 (d) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z - 13. Let d be 1*(18 + -12 + -3). Calculate w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 3*x + 2*l - 77 - 57, -47 = 3*x + l for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -4\/3, -1\/3, -136482?\nAnswer: -136482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 904614 - 1374614. What is a rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**5*s**2 - 103*p**4*s**2 + 25*p*s**2 + 33*p wrt p.\nAnswer: 100*p**3*s**2 - 1236*p**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from cscscsscsscc?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 12. Let j be r(0). Suppose -j = 5*x - 17. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + 4 + (1*sqrt(68) + 3)*-3).\nAnswer: 60 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (426\/994)\/(-1 + ((-195)\/(-42))\/1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448766 (base 10) in base 12?\nAnswer: 197852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 greater than -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1486 or -5\/31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 0*g**3 - 2*g**3 + (-2*g**2 + 5*g**2 - g**2)*(-3 - 2*g + 3) - 16*g**3 - 74*g**3 + 373*g**3 - 1 + 1 - g**3 + 4*g**2 - 7*g - 2*g**3 + 7*g.\nAnswer: 274*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 110, 229, 396, 611, 874, 1185?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + s**2 - 2*s + 2*s**3 + s**2)*(-1 - s + 1).\nAnswer: s**4 - 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 4, t: 6}. Give prob of picking 3 t.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5289945229?\nAnswer: 251, 659, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/44 - 1\/(-1). Let n(g) = 2*g - 1. Let c be n(-1). Let o = 8956 - 8953. Sort o, f, 1, c in decreasing order.\nAnswer: o, 1, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363*a**5 + 10*a**5 + 27*a**5)*(-3 + 2 - 6).\nAnswer: 2282*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1049*l**5 - 61*l**3 + 4*l**2 - 884*l + 228 wrt l?\nAnswer: 20980*l**3 - 366*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/7 + 178*u**3\/7 - 29580*u**2\/7 = 0.\nAnswer: -174, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 756?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 10. Let b(g) = -g + 3. Let j(o) = -7*b(o) - 2*n(o). Let t be j(5). Factor 0 - t*h**2 + h**2 + 3*h - 6 + 6*h**2.\nAnswer: 3*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(16\/(-6))\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3293*s - 1970*s - 176613 = 4786*s for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 57. Suppose g - 3 = n. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + 5*u**2 + 2*u**2 - 3 + 3 + 2*u**2 + (0*u + 0*u + 2*u)*(u - u - 2*u) + 281 - 281 + 84*u**2.\nAnswer: 92*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12578*k*v**2 + 47360649*k*v + 1206*v**2 - 2*v wrt v.\nAnswer: -25156*k + 2412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348957 and 3654?\nAnswer: 697914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101021 - 52687. List the prime factors of q.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/990 and 107\/48.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*u, -4*u = -3*i - 7*u + 21. Suppose 4*o + 29 = g + 6, i*g + o = 4. Suppose m = s + 15, 0 = 2*m - 4*m + 4*s + 34. Solve -m + 1 = -g*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 17*h**2 - 5*h + 15. Let b be x(-9). Let u = -97 + b. Calculate the lowest common multiple of 44 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, -17, -57, -123, -221?\n\"Answer: -p**3 - 4*p**2 - p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128.1 - 112. Let p = 16 - l. Let o = p + 0.10104. Round o to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-2))\/(3*2\/39). Let u(m) = -13 + 3*m + 4 - 8. Does 9 divide u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 - 2*f - 4. Let l(u) = -2*u**2 - 2*u - 4. Let x(t) = -3*c(t) + 4*l(t). Let a be x(-4). Suppose -y = 4*y - a. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 (base 8) in base 6?\nAnswer: 12234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 18*c - 9. Give i(17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 180 = 4*a, 94*a - 5*r = 92*a - 0*r + 8 + 38 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 - 90. What are the prime factors of b?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from eemmepempppeepempee.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3)*o)\/(o*o*(o*o**(1\/3)\/o*o*o)\/o))**(-11\/2)*(o\/(o*o**(1\/3)*o*o))**(12\/19)\/((o\/(o\/(o*o*o*o**4*o)))\/(o*o**(-6\/5)*o)) assuming o is positive.\nAnswer: o**(1708\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2. Let z be (30\/24)\/5 - 15\/(-4). Suppose z*n = 4 + 12. Let j(d) = -n*d - 14*d - 4*d - 3*d. Calculate j(u(k)).\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -59 (b) 1.52 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1882?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d5 (base 15) to base 10.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7*f + 2)*(2 - 2 - 2)*(-49 - 6 + 1)*((f - 3*f + 0*f)*(-5 + 0 + 6) - f + 2*f - 2*f - f + f - 2*f) to the form t*f**2 + l + m*f and give t.\nAnswer: -3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(1*sqrt(35) - sqrt(35)) + sqrt(35) - sqrt(35))\/(sqrt(28)\/sqrt(64)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 358964 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -2.2, 12, 1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/8)*g)\/g)\/((g*g*g**(9\/5)*g)\/g)*((g*(g**7\/g)\/g*g)\/g)\/g*g*g**(-11) assuming g is positive.\nAnswer: g**(-347\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -16 (c) -3.4 (d) -12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**1)\/v**3)\/((v\/v**3*v)\/(v\/v**(4\/7))))**(-26\/5) assuming v is positive.\nAnswer: v**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986117067 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1786371.95 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-1)\/(-6)). Let h = -6 - n. Let v be (5\/(-2))\/(1\/h). What is the greatest common divisor of 40 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -33 - (-8 + 1)) + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 40\/7 (c) -50 (d) 3\/104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155868991*k**5 - 304544*k**2 - 192*k wrt k.\nAnswer: 9352139460*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1020 + -5264. Let l = 6115 + k. Let v = -1314 + l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*(-9)\/(-6). Let u = -3\/2 - -3. Which is the third biggest value? (a) u (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -9, -14, -11, 6, 43?\n\"Answer: q**3 - 5*q**2 + q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + (sqrt(180) - (-1 + sqrt(180))))**2 + (sqrt(5) - (4*sqrt(5) + -5 + sqrt(5))**2) + sqrt(30)\/(sqrt(30)\/sqrt(5)).\nAnswer: -137 + 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14457831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11126 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 - 5*t - 1. Let q(u) = 10*u**2 - 4*u - 1. Let p(w) = -3*o(w) + 4*q(w). Let g be -2 - (0 + (2 - 2)). What are the prime factors of p(g)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17149?\nAnswer: 11, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2511 - -3?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288))**2*-5.\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 + 381. What are the prime factors of i?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 812 = -5*w, w + 48 = k + 208. Suppose -w = -5*f + 88. Calculate the remainder when f is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 212 (b) 1\/5 (c) 16 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 138183 (base 10) to base 15\nAnswer: 2ae23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 198831127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/(-5) - (-12 - -7))*10\/2. Sort g, -3, -0.07, 17, -2\/19 in ascending order.\nAnswer: -3, -2\/19, -0.07, g, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5605744 grams?\nAnswer: 560.5744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117 (base 11) to base 15.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*k + 31*k**2 - 596*k + (5*k - 4*k - 2*k)*(-2*k - 5*k + 4*k) + 62*k**2 - 45*k + 45*k to l*k + a*k**2 + y and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2473a23 - 59?\nAnswer: 2473975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (10 - (-15 + 22))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.21466 + -0.31466. Let w = 2 + 2. Sort w, 0.06, a, -0.5 in decreasing order.\nAnswer: w, 0.06, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 2 + sqrt(1700) + sqrt(1700) + sqrt(1700))**2*3 - (2*sqrt(1700)*1 + (sqrt(1700)*1*-3 + sqrt(1700) - sqrt(1700)) + 0)**2.\nAnswer: -47600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -25*u**3 - 4*u**2 - 4*u + 13. Let h(i) = i**3 + i**2 + i + 1. Let d(l) = 4*h(l) + z(l). Differentiate d(k) with respect to k.\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1041\/2 - -521. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5809688 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 + 8803*m\/5 - 70488\/5.\nAnswer: (m - 8)*(m + 8811)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 932212741.2 and -1311.\nAnswer: 932211430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 - 3*o + 3. Let n = 494 - 491. Determine c(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5) - (-11)\/15. Sort m, -3\/2, -1 in increasing order.\nAnswer: -3\/2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 + 142c3d?\nAnswer: 142c53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -31 - ((-3 - -4) + 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1 + 2*h**3 - h**3 + 44*h + 8*h - 53*h - 5*h**2. Suppose -3*j + 0*j = -15. Determine v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t**2 + t**2)*(6 - 2 - 1)*(3*t**2 - 3*t**2 - 2*t**2).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -e5e16c?\nAnswer: e5e16f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38032, -38060, -38100, -38152, -38216, -38292?\n\"Answer: -6*n**2 - 10*n - 38016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10738164?\nAnswer: 2, 3, 113, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u**2)**(2\/95) assuming u is positive.\nAnswer: u**(12\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(3*(-2)\/(-12)). Let h be (-4*12\/f)\/((-3)\/268). Suppose 0 = l - 133 + h. Which is the fourth biggest value? (a) 1 (b) -8\/9 (c) 0.5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 240*b - 956. Let a be m(4). Let i be 0\/(-2) - (-2 + -1). Solve x + i*x + a*s = 12, 0 = 2*x - 4*s + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/10 - 85397*m\/10 - 384327\/5 = 0.\nAnswer: -9, 85406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1012 and 16560?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -203846 or -203786?\nAnswer: -203846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*l - 3079 + 2192 = -10094 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-20)*30\/(-1950)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-54)*2\/(-12)*-2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*m + 32 = -190*m. Let c(s) be the first derivative of 0*s - 1\/4*s**3 - 1\/4*s**2 + 7 + 1\/24*s**6 + 3\/20*s**5 + 1\/16*s**m. Factor c(r).\nAnswer: r*(r - 1)*(r + 1)**2*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-4292)\/(-28) - (-8)\/28. Let s = c + 354. What are the prime factors of s?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**4\/2 - 4*v**3\/3 - v**2\/2 + 1. Let h(m) = -2*m**2 - 6*m + 3. Let s = -11 - -8. Let g be h(s). Determine w(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60301234 a multiple of 1531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -277 - -276. Do q and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b712c (base 16) to base 6.\nAnswer: 24023340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1224\/(-384))\/17)\/(3\/(-2)). What is the closest to -1.255 in -1\/2, 1, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 38*h + 292. Suppose 0 = 4*z - 10*z - 0*z. What is the hundreds digit of v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -151, -243, -333, -421, -507, -591?\n\"Answer: r**2 - 95*r - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(363))**2 + sqrt(363) + -5*((sqrt(12)\/sqrt(4) - sqrt(3)) + -2))*-2*-2 + 0.\nAnswer: 132*sqrt(3) + 1496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let d = y - -1. Let w = 62338 + -124681\/2. What is the third biggest value in 6, w, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14768 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 572507321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -22039?\nAnswer: 1763.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*i + 0 + (i - i + i)*(1 + 4 - 3) - 3*i + 3*i + 6*i + (-3 + 4 - 3)*(2*i - 5*i + i) to s + v*i and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67593236453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26912 = 290477*n - 290013*n for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*v = 59*v - 136 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23563104 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((6 - 0) + (12 - 13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 80*h - 310. Calculate b(-33).\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30144*d**4 - 12017*d.\nAnswer: 361728*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.3. Let u be -2*(-66)\/352*((-8)\/(-6))\/(-2). Let v = -1\/24 - -13\/24. What is the closest to v in k, u, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:49 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 85, 74, 39, -26, -127, -270, -461, -706?\n\"Answer: -z**3 - 6*z**2 + 14*z + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:06 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*u**2 - 93*u - u**2 - 60*u + 16*u - 66*u as d + n*u + g*u**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 12*a**2 + 12*a + 13. Calculate t(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-1242)*-46)\/((-69)\/12)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7980 + -39898\/5. Let q(d) be the second derivative of -1\/2*d**2 + 1\/6*d**3 - h*d**5 - 1\/12*d**4 - 32*d + 0. Give q(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/12)*c)\/(c**(-3\/4)\/c))\/((c*c*c\/c**(-6\/5))\/(c*c**(-3\/2)*c)) assuming c is positive.\nAnswer: c**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.038\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 0*v + 0*v + (0*v**2 - 3*v**2 + v**2)*(v**3 - v**3 + v**3) - 3*v**5 + 2*v**5 - 2*v**5 - 25*v**5 - 29*v**4 + 29*v**4 + 3*v**5 - 2*v**5 + 0*v**5.\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -15, 4.\nAnswer: -46, -15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472876 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 5*u**2 - u**2 + 0*u**2 - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 8*v + 14. Let d be t(-6). Let w be -4 - (-4 - -4) - d. Let l(o) = -o**3 - 7*o**2 - 8*o + 1. What is l(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5382*s + 60438 = 4691*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4946 - -9905. What is the greatest common divisor of i and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u**3 - 24*u**3 - u**2 + 39*u**3 in the form r*u**2 + k + a*u**3 + c*u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.09, -5 in decreasing order.\nAnswer: 5, 0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*2*(-6)\/(-48))\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 3*u - 144. Determine b(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*y + 1 = 0, 3*d - 3*y + 28 = 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + 4?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 269506, 538998, 808476, 1077940, 1347390?\n\"Answer: -7*m**2 + 269513*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxtxtdtdttt. Give prob of sequence dt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 110, 139, 166, 191, 214?\n\"Answer: -q**2 + 34*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-8)\/8)*(2 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**2 + 2*r + 7. Suppose -8*a - 4*v = -4*a + 32, -a - 29 = 8*v. Let g(o) = 9*o**2 + 2*o + 6. Calculate a*j(w) + 6*g(w).\nAnswer: 4*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1901, 4696, 7415, 10064, 12649, 15176, 17651, 20080?\n\"Answer: c**3 - 44*c**2 + 2920*c - 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8. Let u(q) = -q**2 + 14. Calculate the remainder when 54 is divided by u(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.7 + 2.699946. Round d to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1235\/88 - 121\/8. Let z = 3.2 - 3. What is the fourth smallest value in 0, 0.4, z, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -21*a + 81. Give f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155049428 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/13 + 1022*a**2\/13 - 130048*a\/13 - 131072\/13 = 0.\nAnswer: -1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 17, e: 3}. What is prob of sequence eoe?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(21\/14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 4*g - 2. Let z(l) = 0*l - l - 1 + 13. Let o be z(9). Is v(o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 5. Let r be b(-7). Let m = 13 - r. Suppose -133 + 29 = -m*t. Calculate the greatest common factor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 2*y**2 - 1 + 5*y**2 - 1 - 9*y**2.\nAnswer: -10*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -209 + 211. Let h(m) be the first derivative of 0*m + 1\/4*m**4 - 5 + m**3 + 0*m**o. What is the third derivative of h(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115091982 - 2?\nAnswer: -115091984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1523914 * 6\nAnswer: -9143484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 2, -18.8, 2\/3, 46, 2\/15?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a**2 - a. What is the units digit of o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 3, g: 6, j: 1, b: 2}. Give prob of picking 4 w.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 3. Let n(p) = 4*p - 7. Let r(k) = 3*n(k) + 7*o(k). Let v(i) = -4*i. Calculate r(v(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + -1.7. Let q = n - -3.5. What is the closest to -1\/4 in q, 2, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 - 165\/(-3). Suppose d - 4*d + l = -80, -y = -2*d - 4*l. Let c = -12 + 21. What is the greatest common divisor of c and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 11 - 3431\/(-219).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 365444889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223131 is divided by 1116.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*p + 49 - 61, -5*p - 5*v - 30 = 0. Let n(i) = -i**3 - 7*i**2 - 9*i + 4. Let f be n(p). Is f at least as big as 1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1284394 = -1284395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 851 + -847. Suppose -3*z - 3*s = -150, 5*z - 235 = -3*s + s. Suppose 4*n = -3*p + 28, -5*n - 4*p - 9 + z = 0. Solve r*c = -0*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -3, 5 in descending order.\nAnswer: 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -420a6 - ca?\nAnswer: -421a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 322032 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 11. Let g = -2 - -3. Let w be 20\/14 - (g + 1). Sort 0.1, w, l in decreasing order.\nAnswer: 0.1, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.9738 weeks in seconds?\nAnswer: 97961754.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/14)\/((-3)\/21) - 3. Suppose -2*g = 4*p - 14, 4 = p + 2*g - g. Solve 0 = -p*a + b*w - 6, a + 5*w - 28 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 179*g**2 - 79524*g - 58287. Determine a(445).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -2 + 3 - 1. Suppose 2*i = -p - 5 - 0, p - v*i = -1. What is the tens digit of 10\/(-5) + (32 - p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/5))\/(w\/(w*(w*w**(-1\/3)*w*w*w)\/w))*(w*w**(-1\/18))\/(w\/w**(-12)) assuming w is positive.\nAnswer: w**(-737\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a0 (base 14) to base 3\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 - n**3 + 3*n**3)*(-3*n + 0*n + 2*n) + (0 + 2*n + 0)*(2*n**3 + 7*n**3 - 3*n**3).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241255 + -111?\nAnswer: 241144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*x)*(-1214*x**2 - 178*x**2 - 232*x**2).\nAnswer: -6496*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*k - 1383 = -183 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 4. Let l be k(-7). Let s(c) = 7*c**3 + c**2 - 5*c - 3. Let v(t) = 8*t**3 + 2*t**2 - 6*t - 3. Let n(d) = l*v(d) - 4*s(d). Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20642, -20641, -20640, -20639?\n\"Answer: v - 20643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11098)\/81 + 77\/6237.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-58 + 48)\/((-20)\/64*2). Solve t*f - 7 = 23*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/11 + 122*l**4\/11 - 43458*l**3\/11 - 3463282*l**2\/11 + 14370560*l\/11 - 14542344\/11 = 0. What is l?\nAnswer: -109, 2, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36785 + 36805. Solve -4*y + 2*c = -8, 83*y + 5*c = 80*y - o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/28 + (0 - -3) + -6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 53466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 2, 1, -2834 in descending order.\nAnswer: 2, 1, -4, -9, -2834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3930 + 2)\/(20\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 36 + 6 = -4*u, h - 43 = 5*u. Calculate the remainder when 67 is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 1632*a**2 + 443904*a + 40247296.\nAnswer: 2*(a + 272)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c4 (base 13) to base 12.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.98 - 4.88. Let g = 344 - 524. Let i = 1262\/7 + g. What is the smallest value in i, 2\/9, 14, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 23564.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 + -2.9. Which is the third biggest value? (a) p (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16318 = -4*w + 5*p - 16494, -5*p = 3*w + 97 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 times -59?\nAnswer: -300.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**3 - 12*h**2 - 4*h - 6. Let q(y) = y**3 + y**2 + y - 1. Let m(l) = -d(l) - 4*q(l). List the prime factors of m(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = -7*v. Suppose v*m - 3*m = 11. What are the prime factors of 1 + -1 - (0 - m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 - 248 = -10*x. Let a(v) = v - 3. Let u be a(-9). Calculate the remainder when x is divided by -45*(0 + 4\/u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 17*c. Let x be s(-17). Let q(i) = i + 6. Give q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 5*s + 89*s - 8 to the form v*s + b and give v.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 8?\nAnswer: 57\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 126*l**3 + 126*l**2 + 51*l. Let b(f) = 5*f**3 + 5*f**2 + 2*f. Let y(c) = -153*b(c) + 6*j(c). Find the third derivative of y(s) wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 4*z = 7*s + 10, 5*s = 5*z. Which is the biggest value? (a) -14 (b) s (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 170073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5207?\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l**2 + 381 - 381 + 0*l + 0*l + l**2 + (-3*l + 3*l + 2*l)*(-2*l + 0 + 0) - 2*l**2 - l + l)*(3 + 1 - 6).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 2*o**3 + 4*o - o + (-7*o - 2*o + 4*o)*(-448*o**2 + 330*o**2 - 1385*o**2).\nAnswer: 7517*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63)\/(-5) + 8\/20. Suppose -4*g + m = h, 2*h = -h - g + 17. Let z be h\/150*116 - 4. Which is the second smallest value? (a) 3 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5967, -48368, -163507, -387768, -757535, -1309192, -2079123, -3103712?\nAnswer: -4419343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + a + 139 = 148, -5*m + 9*a - 25 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 431905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-28)*656\/(-6396). Suppose 5*r + 4*c - 5 = 0, -c + 3 - 1 = 2*r. Which is greater: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5175)\/30*4\/(-2). Suppose 0 = -4*g - g + o. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 2. Let x = 17.7 - 17. Let w = x + q. What is the third biggest value in w, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 11 = -4*r. Let f = 4 + r. What is the remainder when f is divided by (16\/(-20))\/(2\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8*u = -70. Let l = 129 + -129. Suppose l = 5*z - 75 + 35. Solve q + 22 = 4*o, z*q - 5*o + u = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w = 34*w - 25. Let y = 0.01 - 1.01. Let k = y - -0.5. Which is the third smallest value? (a) k (b) 5\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b53b5d (base 15) in base 3?\nAnswer: 121012212221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(60)\/sqrt(5)) + -2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8415614?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 1.2, 4\/5, -2\/5, -0.125, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355710 greater than or equal to 1355633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 222\/27 + 4\/(-18). Let u be 2\/3*36\/z. Sort u, -5, -4.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*b - 7, -9243*l + 9241*l - 8 = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = 11*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 3:45 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134.4 - 134. Which is the closest to 2\/5? (a) 8\/9 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 19598?\nAnswer: 97990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 8, 647102?\nAnswer: 647102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*m**3*u*w**2 + 2*m**2*u*w - 4*m**2*w**3 - 129*m*u*w**3 + m*u*w**2 - 2*u*w - 2*u wrt m?\nAnswer: -96*m*u*w**2 + 4*u*w - 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide ((-189)\/28)\/(4969\/(-29760) - 41\/(-246))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 19. Let g be s(0). Suppose v + 2*p - 2 = 4*p, -4 = 3*v + 4*p. Find the second derivative of 16*u**2 + g*u - 6*u + v*u - 10*u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (81\/(-4))\/(4\/(-16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 367317, 734636, 1101955, 1469274, 1836593?\n\"Answer: 367319*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52836 by 111.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 26 = -5*a, 3*a - 10 = a. Let b be (4\/12)\/(k\/(-6)). Suppose -f - b = -7. What is the highest common divisor of f and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.129, 0.07, 0.7 in descending order.\nAnswer: 0.7, 0.129, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**3 + 37288*x**2 - 85959984*x - 4391719200 = 0.\nAnswer: -50, 4686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 9:48 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0813651 - -0.21.\nAnswer: 0.1286349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = -7*w + 1770. Suppose -8 = y - w. List the prime factors of y.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -763a5 (base 15) to base 6\nAnswer: -12014115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 434117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 2 o when four letters picked without replacement from trohchhocyocr.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-5 - 14\/(-14))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((5 - 2) + (-110)\/20)*2. Let i = 1 - -3. Which is the third smallest value? (a) i (b) -0.07 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 20 = -5*h. Let z be h\/(-2) - 2\/(-1). Suppose -z*g + 2 = -10, -6 = 5*b - 2*g. Let f(m) = m**3 + m**2 + m + 5. Determine f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9413 - -9435.034. What is o rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*j + 110*j - 18 = -2*k, -5*j + 7*k - 74 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 55 + 3*g**3 - 3*g**2 - 64 - g**3 to the form z*g**3 + w*g + f*g**2 + s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 112*b + 112. Let p be w(-1). Is p smaller than 5\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from njnjjnjjnjnjn?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**6)\/r)\/(((r\/((r*r\/r**3*r)\/r)*r)\/r)\/r)*r**(-2)\/r**(-1))**1 assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.19372 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 31*t - 97*t + 35*t + 29*t. Let y(s) = s - 1. Let m(i) = 12*i - 10. Let c(r) = 4*m(r) - 40*y(r). What is c(w(h))?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and 62.\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -49\/3. Let k = 1821 + -1821. Which is the smallest value? (a) 2\/31 (b) k (c) q (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = b - 3*b - 78, b - 94 = 5*x. Let k(i) be the second derivative of 7*i**3\/6 + 17*i**2\/2 - 44*i - 1. Let m be k(-5). Is x at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r = 22*r + 54 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -16 - ((-7 - (1 + -7)) + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-6)\/6)\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 1770*y**2 + 3534*y + 1766.\nAnswer: 2*(y + 1)**2*(y + 883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 8 = 28. Suppose m*p - 4*s = 160, s = -4*p - 103 + 248. Calculate the smallest common multiple of 6 and p.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209900 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/4, 0.1, 1\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 295*o - 152*o + 4*o**5 - 143*o - 4*o**4 + 4*o**2 - 4*o**3.\nAnswer: 4*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:36 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*k + 8 = -k, 3*k + 18 = -3*x. Let c be ((-2)\/x)\/((-6)\/(-24)). Let m(t) = 0*t**2 - 3*t**3 - 2*t + c + 2*t**3 + t**2. What is m(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1693692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 3*m**2 + 2*m + 3. Let v(s) = 4*s - 20. Let i be v(6). Calculate g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 115. Let h = k + 95. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 n when three letters picked without replacement from {n: 7, g: 3, s: 4, y: 1, w: 4}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94278 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:43 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14838.859483 + 1\nAnswer: 14839.859483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b + 50*b - 91*b - 9263.\nAnswer: -b - 9263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + a + 12, 0 = -5*p - 5*a + 80. Solve -p - 6 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186716 equal to 1727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*d**6 + d**5*j - d**3*j**3 + 4*d**2*j**2 + 14*j**3 + 1 wrt d.\nAnswer: 4560*d**3 + 60*d**2*j - 6*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*c + 8, 3*z - 8*z = 2*c - 18. Let p be ((12\/(-10))\/(-3))\/((-18)\/19980). Let f = p + 445. What is the smallest common multiple of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 285 (b) -3 (c) 3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 30 - 7*v)*(-401*v**2 + 212 - 212) as z*v**2 + m*v**3 + k*v + d and give m.\nAnswer: 2807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6790*-1.01.\nAnswer: -6857.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 14*u - 5. Let k be a(-10). Let o = -45 - k. Let l be (-2)\/2*(-5)\/o. What is the biggest value in l, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226620 divided by 56655.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -511 + 510.999994525. What is q rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 20*m**2 + 21*m - 60. Calculate v(-11).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 2*p**2 + 3 - p**2 - 6*p. Let t be o(-6). Let s be -3*(t\/9 - 1). Solve -2*x + 3*w + 14 = s*x, -4*w = 2*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/2 - -10. Let x = 107 + -110. What is the nearest to -0.1 in x, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:41 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -381 + 8003\/21. Let s = 25\/42 - k. Let n = -2\/39 - 11\/39. Which is the closest to n? (a) -1\/2 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34464 - 18577. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188.68 - 188.56171. Round a to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -84. Suppose s = b - 5*b + 84. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1284 divided by 6.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(152)*1*6 - 2*(1*sqrt(152) - sqrt(152)))\/(1*(sqrt(1152)*-1 + sqrt(1152) + sqrt(1152)) - (5*-2*sqrt(1152) - sqrt(1152))).\nAnswer: sqrt(19)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44153 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**2 + 125. Let c(q) = 7*q**2 - 7. Give s(c(g)).\nAnswer: -14*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 1de?\nAnswer: -1e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -181, -181, -183, -187?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17167201, -17167202, -17167203, -17167204, -17167205, -17167206?\nAnswer: -17167207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46810 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -89\/4, 7, 1\/4, -5, 9, -4, 5 in decreasing order.\nAnswer: 9, 7, 5, 1\/4, -4, -5, -89\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - 2*r. Suppose 0 = -r*g + 21. Suppose 3*j = g*j - 48. Calculate the smallest common multiple of 14 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*l - 53*l - 20. Let r(h) = 7*h - 3. Let c(w) = -3*w + 1. What is l*c(t) - 2*r(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14311 or 1\/2?\nAnswer: -14311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:29 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14173 + -2423644\/171. What is the common denominator of 4\/513 and g?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13040 divided by 33175.\nAnswer: -2608\/6635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5 - 16*y**4 - 2*y**3 + 164*y**2 + 40*y - 400 = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 5, p: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 2243380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a - 52. Let k be j(5). Solve 2*z = -2, -3*m - k*z + 4*z = 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12305.\nAnswer: 5, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54305005 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12607.\nAnswer: 7, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44603 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - d - 4*d + 2*d. Let q(s) = -s. What is a(q(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175275 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 206, 1\/2, 439, -1\/3, -1, -1\/5, 5\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/28 + 1 - -1. Let l be (0 - -1)*(1 - -4). Sort l, 0.5, g in decreasing order.\nAnswer: l, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32609895 is divided by 263.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 250.4?\nAnswer: 250.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v + 178*v - 36*v - 49*v - 37*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 7*w - 7. Let l be i(-6). Let z = 0 - l. Suppose -n = 2*g - z - 3, 4*g = -n + 6. Which is the nearest to g? (a) 1\/2 (b) 0.2 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316061 divided by -21?\nAnswer: 316061\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 6. Suppose -186 = 35*s - 221. Let g(a) = -a. What is s*w(c) + 2*g(c)?\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 5 + 1 + 6)*(-2*f**4 + f**4 + 4*f**4) + 682*f - 682*f + 11*f**5.\nAnswer: 17*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -21*v + 16*v. Let z(c) = -c**2 - 9*c - 13. Let i be z(v). Let r(g) = -2*g**2 - 2 - 2*g**2 - 6*g + 3*g**2. Determine r(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -15, 4, 0.33, -0.04, -4 in descending order.\nAnswer: 4, 0.33, -0.01, -0.04, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 5}. What is prob of sequence vtv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2909186.83 to the nearest one thousand.\nAnswer: 2909000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, k: 1, v: 4, l: 2}. What is prob of picking 1 l and 1 v?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**5 - 205*r**4 + r**2 + 12695*r wrt r?\nAnswer: -160*r**3 - 2460*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011928 to the power of 1\/2, to the nearest integer?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k - 512 - 190 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - -0.4. Let z = 39.9 + -35. Let o = q - z. What is the nearest to 1 in 3\/2, -0.5, o?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -4, 0.4, -11, 2556 in ascending order.\nAnswer: -11, -4, 0.4, 4\/7, 2556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*h + 1. Let q(n) = n**2 - 1. Let v be q(h). Let y = -8 - -12. Solve -20 = -5*r - y*c, v*r - 2*c + 10 = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 6*h + 159. Calculate the remainder when h is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -119592\/19?\nAnswer: -119592\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 2 - 2. Let y(x) be the second derivative of -x**3\/3 + 10*x - 2. Give k(y(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 32. Is ((-74)\/w)\/(1\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1736 is divided by 363?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 - z - 8. Calculate l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029166405 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v - 16. Let d be g(9). Is (-4 + d\/25)*2155 - 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 9405*k**2 + 29899584*k - 17553355776 = 0.\nAnswer: -5247, 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3898 - -3204. Which is smaller: c or -3469\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4494662513?\nAnswer: 11, 408605683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/44 + (-1715445)\/14410 + 31?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37999 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148398?\nAnswer: 2, 3, 24733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 7. Let w be g(5). Calculate the common denominator of w\/7 - 429\/(-56) and (-4 - 53\/(-14))\/((-12)\/(-388)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 4*n**2 - n - 4. Let j(m) = m - 11. Let t be j(14). Give b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.2, 2\/21, -239, 6181.7?\nAnswer: 6181.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2407, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 270643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 11. Let w be g(-5). Let s(m) = 0 - 15*m**2 + 8*m - 9 + 14*m**2. List the prime factors of s(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447\/(-298)*4\/15*1*-5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4026 and 13908.\nAnswer: 152988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 616 and 29.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let x(s) be the first derivative of -s**2 + 2*s - 10. Let w(i) = 3*i**3 + 2*i - 1. Let o be w(1). Let r(p) = 2*p - 2. Give o*r(g) + 5*x(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7\/4 (b) 3 (c) -0.01 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 916 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -187664778 and 3516.\nAnswer: -187661262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3078 and 4788.\nAnswer: 43092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 788 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k + 52. Let j be x(-2). Sort -8, 5, -3, j in descending order.\nAnswer: 5, j, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -42100?\nAnswer: -42103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let o(g) = 2356*g**2. Determine o(d(y)).\nAnswer: 2356*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/2)\/(h**(-7)*h)*(h\/(h**0\/h))**(-44))**(-35))**19 assuming h is positive.\nAnswer: h**(112385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104.527 and 1.\nAnswer: 104.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.517 and 598.1?\nAnswer: 907.3177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k - 14 + 14. Let n(q) = -34*q. Let d(c) = -14*c. Let r(y) = -12*d(y) + 5*n(y). Determine l(r(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30 + 482)*(-1 + -1). Let y = o + 29699\/29. Is 0 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 38. Let f(y) = -8*y**2 + y**2 + 7*y**3 + l - y**2 - 7*y - 8*y**3. Determine f(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66.2 - -65.514. Round g to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-10))\/(14\/595)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12264282 divided by 197811\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*v + 7 = 16, 5*v + 44 = j. Let x(s) = -26*s - 4*s**2 + 84 - j + 3*s**2 - s. Calculate the remainder when 19 is divided by x(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 65 = 10*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27223764 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 104. Sort -6, r, 2 in decreasing order.\nAnswer: 2, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290*c**5 + 2056*c?\nAnswer: -5800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*105\/2835*-9 - (-64)\/306?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7470.2 + 7470.33. Let g = 3.95 + 0.05. Which is the second smallest value? (a) f (b) g (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.87 + -28.6. Let n = v + -0.27. Suppose 4*m + 3*i = -6, 3*i = -m - i - 8. What is the nearest to -2\/9 in 0.5, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8466 - 8412. Suppose 7*o - 9*o + 48 = 0. What is the greatest common divisor of d and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 38, 134, 320, 626, 1082, 1718?\n\"Answer: 5*b**3 + b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*g + 215*a**2*g**2 - a - 72*g**2 wrt a.\nAnswer: -12*a*g + 430*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Suppose -73*u + 78*u - 15 = 0. Let j(z) = -z**2. Give u*k(x) + 2*j(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*o**2 + 381*o**2 - 765*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76a (base 13) in base 14?\nAnswer: 66b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 4*x + 95 - 96 - 123*x**2.\nAnswer: -123*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -1036*d + 1047*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6573756143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/4 + 1)*(5 + -21). Let j be 12\/(-3) - t\/5. Suppose -40 = -4*k - 4*i, 3*k - 5*i = -j*k - 10. Solve 2*h - k = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -121\/4. What is the nearest to 2 in r, -4\/3, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2906349 divided by 23?\nAnswer: -126363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 3*i**2 + 3*i + 3. Let k be c(2). Suppose k*s - 12 = 10*s. What is the units digit of (s\/10)\/(11\/165)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340500 rounded to the nearest ten thousand?\nAnswer: 5340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 1. Let d be 38\/247 - 162\/39 - 0. Let y(g) = -2*g + 4. Calculate d*a(w) + y(w).\nAnswer: 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**2*d*p**3 - 1329*b**2*d*p**2 + 32*b**2 - 20*b*p + 346*d*p**3 - 21*d*p**2 wrt b?\nAnswer: -16*d*p**3 - 2658*d*p**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (2 - 3 - -3) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4510091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 18. Let h(y) = y**3 + 4*y**2 - y - 1. Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5673529608 + 0.77419.\nAnswer: -5673529607.22581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - 6*t**2 + 14*t + 6. What is the units digit of o(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54373 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20*(-3)\/(3\/(-2))*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(sqrt(63)*3*-5)\/(-6*(-2*sqrt(9) - sqrt(9))))**2 + -4.\nAnswer: 655\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 4*t**2 + 6*t + 1. Let f be n(-3). Let s(x) = -x**2 - 8*x - 2. Determine s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16708 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8803514, 8803537, 8803560, 8803583?\nAnswer: 8803606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1246 divided by 89.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.07617 + -2.1811. Round n to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18779 - 10243. What is the least common multiple of j and 8?\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.25 - -11.25. Which is the nearest to -0.1? (a) -18 (b) z (c) -3\/8 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(99)*-6 - -2*sqrt(99)*4)*-3)\/((-3*sqrt(72))\/sqrt(8) - sqrt(9) - sqrt(81)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -53014.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 54*d + 61. Let f be j(-28). Solve 3*v = 7*i - 3*i + 21, f*v = -3*i + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1912 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 8*v - 5. Let f be q(-6). Let c be 8\/(3 - 1) + (-52)\/26. Sort f, -5, c.\nAnswer: -5, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 10*y**2 + 8*y. Let c(d) = d**3 + 10*d**2 + 6*d. Give 4*c(s) - 3*x(s).\nAnswer: s**3 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -91 - 19. Suppose 0 = -w*y + 4*y + 4081000. Round y to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 551271.8 millilitres?\nAnswer: 551.2718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 2 + 24 + -18. Suppose -13*b + j = -11*b. Suppose 0 = -4*f + v - 4, 5*f + 2*v + 5 = -0*v. Sort f, b, 2 in ascending order.\nAnswer: f, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127398?\nAnswer: 2, 3, 17, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7174 by 12.\nAnswer: -3587\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -169, 4, -7939 in descending order.\nAnswer: 37, 4, -169, -7939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let n be (-2 + 1 + 2)\/(3\/33). Let p(u) = -15 - 20 - n*u - 8*u + 18*u. What is p(a(l))?\nAnswer: -l - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/(133\/(-7) + 24).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 80.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:47 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/3 - (21 - 24))*-6. List the prime factors of 6 - g - (1648*-2)\/4.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -357 - -375. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:16 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.2, -18 in decreasing order.\nAnswer: -0.2, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 7*x. Let a(o) = -2*o**2 + 6*o. Give -4*a(k) + 6*u(k).\nAnswer: 2*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 15*u - 48. Let i be h(10). Let f be (6\/9)\/(6\/9). Let c = f + 1. Solve 0*d + 4*d - c = -2*j, -i*d = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 307*b**2 - 29*b**2 - b**3.\nAnswer: b**3 + 278*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 366 + (-2)\/(4\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75957 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 17*g + 5. Let z(x) = 3*x + 5*x + 2 + 8 - 8. Calculate -2*f(p) + 5*z(p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4.455 times 62\nAnswer: -276.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 50310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88 - 55) + (-49 - -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, 6, 3, 2, 9?\n\"Answer: d**3 - 8*d**2 + 18*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 + 16.7. Let q = s - 15. Which is the biggest value? (a) q (b) -1\/6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 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: Let h = 788 - -911. Suppose -4*m + 0*m = 5*p - h, 2*p = -m + 682. Suppose -p = -5*v - 2*v. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 47 - 19)*(4 - 5 - 3*r**2 - r + 13).\nAnswer: -123*r**2 - 41*r + 492","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mug when three letters picked without replacement from {g: 2, m: 2, u: 7}.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:07 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*k = -k - 607, -2*o + 2*k + 1230 = 0. Let b = 323 - o. Is b less than -288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/4 - 169365*d + 338729 = 0.\nAnswer: 2, 677458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 10*z + 29. Let m be g(-7). Suppose -1167 = -m*d + 1401. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2754) - sqrt(2754)*-4 - sqrt(2754))\/sqrt(2)*-3.\nAnswer: -108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.038 - -0.922. Let p = -0.89 + n. Let l = -0.04 - 0.06. Which is the closest to l? (a) 0 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 363, -1, 26, 3, -4, -5 in ascending order.\nAnswer: -5, -4, -1, 3, 26, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose 5*p - w + 25 = 0, -36 = 3*p + p - l*w. What is the remainder when 5 is divided by 3\/(-2)*p\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(1 - (-2)\/(-4)). Suppose -j + a = -10. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2006*n - 2003*n = -4*r + 34, 3*n + 15 = 3*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*o = -27 + 12, 2*o + 12 = 0. Solve 2*s - 5*c - g = 0, -6*s - 2*c = -11*s + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/28 + (-6)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b + 5 = -88*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 times 3661?\nAnswer: 91525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27.2, -5, 235\/28 in descending order.\nAnswer: 27.2, 235\/28, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57252*z - 57252*z - 2343*z**2 to x*z + w + r*z**2 and give r.\nAnswer: -2343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twelve fifths of a gram?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 14, -46, -140, -274?\n\"Answer: -o**3 - 8*o**2 - o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 810 = -516. List the prime factors of l.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 1.9. Let t = j - 1.3. Let p = 0.1 + t. Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2848*c**2*u**4 + 396*c**2*u + 3*c*u**2 + 2*u**2 wrt u?\nAnswer: 68352*c**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-4 - d + 4) + 1 + d - 1 + 2038 - 901 + 2*d - 988.\nAnswer: 5*d + 149","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -41?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 17*x - 32. Let s = 312 - 312. Which is the closest to -1? (a) s (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.2601*-0.4.\nAnswer: -5.30404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(13\/(-2) - -6). Sort -1, w, 30 in decreasing order.\nAnswer: 30, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 2*n**3 - 5*n**3)*(36 + 58 - 31) + n**3 + 4*n**2 - 4*n**2.\nAnswer: -125*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(98\/(-35)) + 793\/(-91)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.953 - -0.953. Let m = -29\/2 - -115\/8. Which is the nearest to 0? (a) 1 (b) y (c) m (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 14*k**3 + 29*k**2 + 17*k - 21. Let t(c) = -5*c**3 - 10*c**2 - 6*c + 7. Let o(q) = 4*p(q) + 11*t(q). Give o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -19*j + 93 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p**2 + 2*p - 10. Let j(u) = -7*u**2 + 2*u - 7. Let v(w) = -8*j(w) + 5*m(w). What is v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*t - 1. Let p(n) = -25*n**2 + 11*n**2 + 8*n**t. Let h(i) = -i. Let q(c) = -3*h(c) - p(c). Find the second derivative of q(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(833) + sqrt(68)\/(sqrt(4)*2) + (3*-1*sqrt(68) - sqrt(68))\/(sqrt(196) - sqrt(196)*-1))**2.\nAnswer: 173417\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4a0499 (base 13) to base 14\nAnswer: 34189a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-760)\/(-11400)*(-2)\/4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1 - 0) + -1642 + 1636\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 11 = 5*l, 0*l + w + 4 = l. Solve -l*y + 3 - 13 = -2*s, s + 5*y = -21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1444062*z**2 + 2347692*z wrt z.\nAnswer: -2888124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - 2*sqrt(80))**2 + -2 - (sqrt(80) - ((0 + sqrt(80) + 3)**2 - sqrt(80))) - (5*(1 + sqrt(405) - sqrt(405))*-6)**2)*4.\nAnswer: -2932 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 8*k - 13*k + (-3*k + 4*k + k)*(-4 + 4 - 2).\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 133*n = 2528 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/43401?\nAnswer: 14\/43401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 2*x**2 - 6*x + 10. Let y be w(3). Solve 0 = 2*q + 5*d - y, 2*q + 9 = 4*d + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:12 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/15 - -7\/60. Let h = -0.04402 - -0.04402. What is the second biggest value in h, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 3, -4, 0.131 in descending order.\nAnswer: 37, 3, 0.131, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/322075866 and 3\/2.\nAnswer: 322075866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 + y + 3. Let v be n(0). Suppose -3*d + 202 = v*a + 76, 131 = 3*a + 4*d. Let b = 0 + a. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/21 - (-228)\/(-2394).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -13)*(2 - 14). Let d = 36 + p. Let r = 22 - d. Calculate the greatest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/1941 - 638569\/9705. Let z = g + 65. Sort 5, -3, z in decreasing order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15.2147 kilograms?\nAnswer: 15214700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 3. Let u be l(8). Let z(v) = v**3 - 6*v**2 + 2. Let n be z(u). Let g be (-8)\/(-140)*5 - (-6194)\/(-266). Is g at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*b + 6*b + 4*b)*(0 + 1 + 2).\nAnswer: -57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 2 (c) -0.04 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13942*l**2 - 6960*l**2 - 6978*l**2 - 957)*(-l + 1 - 1)*(0 - l + 0) to the form g*l**2 + t*l + x*l**4 + b*l**3 + q and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 38*n**2 + 282*n - 61. Let u be h(28). Put 15, 1\/39, u in increasing order.\nAnswer: u, 1\/39, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992088.\nAnswer: 2, 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 2. Let b = -14 - -26. List the prime factors of c(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**8\/560 - m**4\/12 + 5*m**3\/3 + 3. Let g(w) be the third derivative of f(w). Differentiate g(s) wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/10 - ((-48)\/20 + 3). Calculate the highest common factor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1342758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f*f**0*f)\/f)\/f*f**(1\/3)*f**(-4)*f**(-2\/25) assuming f is positive.\nAnswer: f**(-131\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14799190 by -211417.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1234 and 4305906026.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d*w**2 + 1358*d*w - 7*w**2 wrt w?\nAnswer: 28*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351940263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -277714 (base 8) to base 10\nAnswer: -98252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*d - 64 - 41 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -85, -4, -1, 1, 9 in ascending order.\nAnswer: -85, -4, -3, -1, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 4*a**2 - 4*a + 6. Let r be d(5). Let n = r + -9. Suppose 5*m + n*f - 10 = f, -5*m + f + 10 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033240999 to seven decimal places.\nAnswer: -0.0003324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127\/1524*24\/9)\/((-70)\/(-63))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -129.\nAnswer: -24\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*g**3 + 0 - 121\/2*g**2 + 0*g.\nAnswer: -g**2*(g + 242)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -735*c - 2 + 359*c + 323*c + 3.\nAnswer: -53*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:28 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + 4 + 2 + -10) - 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 - 3. Let j(y) be the second derivative of y**4\/12 - y**2\/2 + 42*y. Let h(r) = 2*r**2 + 3. Let n(x) = -h(x) - j(x). Calculate 6*n(i) - 5*p(i).\nAnswer: 2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 = -13*b + 2412. Let x = 526 - b. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7148 and 3648.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 40 = 5*p, 5*r + 3 = -22. Suppose -p*j + 3*j = -2. Calculate the least common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 59253*v - 59255*v + 12, 5*v - 30 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t + 12. Let l be v(-3). Let z(a) = a**3 + a**2 - 1. Let p(r) = 5*r**3 + 6*r**2 - 6. Give l*z(w) + p(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqep when four letters picked without replacement from wpeewwqwnqpnqq?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -121848 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -165924 + -306126\nAnswer: -472050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45893, 45875, 45845, 45803?\n\"Answer: -6*j**2 + 45899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 16*r**4\/3 - r**3\/2 + r**2 - r. Let l be a(-3). Is l*1*(0 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/(-5) - 2002\/(-110) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 355*v**2 - 29*v - 358*v**2 + 683*v**2.\nAnswer: -v*(v + 1)*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljlljlqjjb. What is prob of sequence lbj?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.1, -16, 5\/8 in increasing order.\nAnswer: -16, -1\/6, 0.1, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201)\/335*3\/((-162)\/(-20)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21)\/14)\/(1*3). Suppose -94*y + 119 + 257 = 0. What is the nearest to -0.04 in 0, y, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 24 - 40 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-25)\/(-5)*(-42)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 minutes before 9:17 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m*m**(-5)\/m*m*m)\/m))*m*m\/(m\/(m*m\/m**(-3)*m)))\/(m**4*m\/(m**9\/m*m)) assuming m is positive.\nAnswer: m**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 7*w = 0. Is w smaller than -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120308821*x**3 - 55025526 wrt x?\nAnswer: 360926463*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - (-1 - 2) - -45. Suppose 3*p = u + p - 22, -38 = -2*u + p. Suppose 4*j = -u + a. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -613, -2278, -4997, -8776, -13621, -19538, -26533, -34612?\n\"Answer: -w**3 - 521*w**2 - 95*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let z(p) = 659081807*p. What is a(z(b))?\nAnswer: 868777656636770498*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 1\/6 (c) -126 (d) -2 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q + 14. Let x(h) = 15*h - 29. Let f(b) = 5*l(b) + 3*x(b). What is the remainder when f(12) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 + 9*g + 8. Let q be t(-9). Suppose 2*k = 4 + q. Let i(u) = -u**3 + 5*u**2 + 5*u + 8. Let a be i(k). Solve -6 = -a*z + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1236361 - 1690555\/12716856. Find the common denominator of r and -157\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-44)*5\/10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from sbbbsbbssebbbebbepep.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23909\/81 less than 295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 1869.\nAnswer: -4\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30, -0.3, 385, -2\/223, -2\/9, 0.5, -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/321 - 11347\/1926. Calculate the common denominator of ((-1)\/(-3))\/((-6)\/309) and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -180 + 135. Suppose w*p - 1163 = 727. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 19487333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (7 - (0 + 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705259789?\nAnswer: 13, 73, 743161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -12) + 10 - (-36 - -80)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 6*c + 41. Let g be (-2)\/(-7) - 4*93\/28. Is b(g) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 40. Solve -p = 5*j + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523875 divided by 304775?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, -31.81, -1\/274?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1059127\/36 + -29422. Find the common denominator of 45\/68 and j.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 11. Let b = -6.0045 - p. What is b rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 2*a + 1. Let l be i(3). Suppose -2944 = 3329*x - 3352*x. Calculate the greatest common divisor of l and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l. Let c be 1\/4*-2 + (-120)\/(-48). Let f(q) = 111*q**c - 17440 + 17440. Determine f(b(z)).\nAnswer: 999*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27046 - 26968. Calculate the remainder when 1480 is divided by n.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286880 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - j**3 + 0*j**3 + (0*j**3 - 2*j**3 + 0*j**3)*(3 - 2 + 0) + 2*j - 2*j - j**3 + 7*j**3 - 3*j**3 - 2*j**3 + 2*j**3 - 8*j + 8*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1455144 and -0.03.\nAnswer: -1455144.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.019 + -0.021. Let l = 1.998 - a. What is the nearest to l in -0.5, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 - -59. Let s(j) = -j + 6. Let u be s(k). Let i = 10 + -5. Solve 0 = i*n + 5*c - 45, -n + u*c - 16 = c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/4230 and 73\/564.\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -7. Suppose 0 = 5*t - 5, -2*t + 0*t - 14 = -4*i. Suppose -d - 1 - 4 = -i*x, -4*x + s*d - 7 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52572, -52539, -52492, -52437, -52380?\nAnswer: -52327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172759710, 345519419, 518279128?\nAnswer: 691038837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62868*p - 7912 = -62696*p for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134 and 16?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358998 is divided by 1000?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 345?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -4079, -4, -3 in descending order.\nAnswer: 3, 2, 0, -3, -4, -4079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -l - 24. Suppose -l*d - 9 = 0, -5*t - 2*d + 31 = d. What is the highest common factor of t and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/235 (b) 4 (c) 0.1 (d) 50 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-3) + (-2)\/(-3). Suppose 3*q - 580 = -s*a, 0 = 3*a - 4*a - 2. Let v = 2154\/11 - q. Is 0 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -2 + 1*sqrt(1331) + 1 + -1 + sqrt(1331) + -2 + sqrt(1331))**2.\nAnswer: -48060 + 1584*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102094615 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = i + 681 - 176, 4*w - 2*i - 410 = 0. Find the first derivative of -8*z**4 + w + 5*z**4 - 18*z**3 - 10 wrt z.\nAnswer: -12*z**3 - 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/10 and 123\/46270?\nAnswer: 46270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:50 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 42 = -156 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 1. Let f = -3855 - -3858. Let k(m) = -40*m - 35. Give f*k(v) + 105*g(v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18725095.4 take away 9.998?\nAnswer: 18725085.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26476 - -26515. Suppose 164 = 4*a - r, 129 - 41 = 2*a - 2*r. Which is greater: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - (-2)\/(-3 + 1). Suppose -241734 = -288*c - 75846. What is the greatest common factor of d and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -296.08 > -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 7350. What is the thousands digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602072 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -3*j - 4*j**2 - 3 - 16\/9*j**3. Find r, given that v(r) = 0.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 + -351. Let g(k) be the third derivative of 1\/15*k**5 - n*k**2 + 8\/15*k**3 - 2\/5*k**4 + 0*k + 0. Factor g(w).\nAnswer: 4*(w - 2)*(5*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678689222 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c + 3. Let l be (6\/(-5))\/1*10\/(-4). Determine a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28655*s**3 - 19*s**2 - 118*s wrt s?\nAnswer: 171930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.099*-0.1.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + sqrt(18))*-6*-2 + sqrt(2) + sqrt(8) + 3 + -1*-1*sqrt(2))*6 + 4)**2.\nAnswer: 13728*sqrt(2) + 195172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 27*k**3 + 4*k**2 + 2*k - 1. Is t(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -60*q**3 - 4*q**2 - 3*q - 2. Let i be m(-2). Let j be i*(28\/(-8) + 3). Let z be (1 - j\/2) + 3. What is z rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(1\/6)*o\/o**(-2\/9)*o*((o*(o**2*o)\/o*o*o)\/o*o)\/o**(-1\/3))\/(((o**2\/o*o)\/(o*o*o**6*o*o))\/(o*o**(1\/2)*o*o*o\/o**(2\/13))) assuming o is positive.\nAnswer: o**(2543\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 1097\/3, 21\/5, 4 in increasing order.\nAnswer: 4, 21\/5, 60, 1097\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/161 + 157\/322. Let n(r) be the first derivative of 0*r**3 + 0*r**5 + 0*r + 0*r**4 + x*r**6 - 1\/2*r**2 - 2. Find the second derivative of n(h) wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 336 - 336)*(-3 - 3 + 5)*(-r**2 - 5*r**2 + 2*r**2).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 369449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896321883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-174)\/(-290) + ((-602)\/(-15))\/2. Suppose -70\/3*v**4 + 8\/3 - 19\/3*v**3 + 44\/3*v + l*v**2 - 25\/3*v**5 = 0. Calculate v.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.54 + 1.46. What is the closest to 0 in 9, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4429, -4437, -4449, -4465, -4485?\n\"Answer: -2*r**2 - 2*r - 4425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 - 0.2. Let u = -15\/2 + 8. Which is the nearest to u? (a) 4 (b) s (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + (0 + -13 + 5 - -19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55.8 + -58. Let j = h - 0.8. Which is the smallest value? (a) 0.05 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4*b**2 + 8)*(1 + 3 - 1)*(0 + b**3 + 0) + 2*b**2 + 27 - b**5 - 27.\nAnswer: 11*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0208 + -0.1732. Let c = 0.106 - j. Sort -2, -2\/11, -1, c.\nAnswer: -2, -1, -2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 16. Let v = t + 8. Sort v, 2, -1 in descending order.\nAnswer: v, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8351\/4 + -2105. What is the common denominator of i and 33\/2792?\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 103074, 205988, 308902, 411816, 514730?\n\"Answer: 102914*r + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 3, t: 10, c: 1}. What is prob of sequence tc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - 80. Let y = 1.4 - 2.3. Let w = y - q. What is the closest to 0 in -2\/3, 2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, 2, 43 in decreasing order.\nAnswer: 43, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2235076, 2235083, 2235090?\nAnswer: 2235097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-784)\/(-30))\/14*5\/3*36\/(-72).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 28 = -23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36209, -72347, -108441, -144491, -180497, -216459, -252377?\nAnswer: -288251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*-5)\/sqrt(2).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -7.84 = 124164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11002 (base 3) to base 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(304) - (sqrt(304)*3 + sqrt(304))) + 0 + 1*sqrt(304) + 6*(sqrt(304) + 1) + (sqrt(304)*-1*2 + sqrt(304) - sqrt(304)) + 3)**2.\nAnswer: 192*sqrt(19) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 7*i - 7. Let n be b(5). Suppose -2*a + v + 10 = 0, -1 - 7 = -3*a - 2*v. Solve -1 = -3*u + 4*c + a, 0 = 5*u + n*c - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 5*y + y - 3*y + 2*y - y + (0 + 0 - 2*y)*(-4 + 4 + 2) - 174 + 89 + 91 - 39*y in the form n + a*y and give a.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67194 is divided by 8151?\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -17*a - 2. Let z(h) = -205*h - 25. Suppose -6*j - 375 = -21*j. Determine j*y(i) - 2*z(i).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/348)\/((((-403)\/(-31))\/130)\/(6\/(-10)))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9160485.4 to the nearest 100000.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 3:01 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6466144 by -808268.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 4)*1*2\/(-2). Suppose 5*t = 5*u - n*u - 24, 0 = -u - t + 19. What is the greatest common divisor of u and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbbdbdbbdbbbb. What is prob of picking 3 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 5*x + 4*x**2 + 2*x + 9. Let c be l(-6). Solve 0*i = c*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 57. Let w = d - 39. Calculate the highest common divisor of 96 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 27 + (1272 - 1308)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 8965.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 119 = -4*g, g + 67 = 3*n - g. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2541 = -3*c, 552*w = -3*c + 548*w - 2556. Let h be (-1 + 7)\/((-3)\/2). Let u be (c\/6 - 0)\/(h\/(-30000)). Round u to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*v + 8. Let l(a) = 42 - 29 - a**v + 7*a - 2*a. Let y be l(0). Solve 5*j = 3*c + y, -c - 5 = -3*j + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 3)*(w + 0 + 0) - 6*w + 5*w - 7*w + w + 1 - 1)*(-63 + 128 - 61).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, j: 15}. What is prob of sequence eee?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(72) + 0 + sqrt(72) + sqrt(72))**2 - ((sqrt(72)*-2 - sqrt(72) - sqrt(72)) + 5).\nAnswer: -84*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 l, and 1 b when four letters picked without replacement from {n: 2, s: 4, b: 2, l: 2, g: 3}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*i, 2*o - 27 = -3*o + 3*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 65504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 5 - 5 - r.\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116.1384 - 1.7084. Let i = w - 114.53022. Let t = i + 0.1. Round t to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 0. Suppose 11666 = -3*u + d*u. Let o = 116763\/10 + u. What is the common denominator of o and -99\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44, -82, -120?\n\"Answer: -38*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -70*d + 509. Let u(n) = 104*n - 510. Calculate -3*f(l) - 2*u(l).\nAnswer: 2*l - 507","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.64 * 68\nAnswer: -111.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-6)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3548019, 7096074, 10644129, 14192184, 17740239?\n\"Answer: 3548055*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22669\/21494 - -9\/977. Calculate the common denominator of t and 7\/204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - 24\/112. What is the closest to -2 in 2, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose h = 5*d - 11 + 101. Let w = 1 - d. Solve 5*p + 2*t = -w, 2*t - 6*t - 3 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 2 + 3)\/(1\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-1*-2)**2 + sqrt(405) - -4*(-2 + sqrt(405)).\nAnswer: 45*sqrt(5) + 1612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - 29. Let w = h - -41. Suppose -2 = -q - 3*x - 6, -3*x - 44 = -w*q. Is q > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 41706.\nAnswer: 41706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = -0*d. Let h(c) = c**3 + 5*c**2 + 2*c. Let k be h(-2). Calculate the greatest common divisor of d and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 126a?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -327669194*d - 503686775 wrt d?\nAnswer: -327669194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27141559481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (sqrt(160) + sqrt(40))*2 - sqrt(40))\/(sqrt(32)\/sqrt(64)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 6) in base 7?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.417, 23, 11\/3?\nAnswer: 1.417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1516*t - 1593*t - 1556*t + 7990*t - 1608*t - 1573*t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 1146?\nAnswer: 16044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -239, -241, -243, -245, -247?\n\"Answer: -2*k - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25631143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 147 = 3*n + o, 0 = -2*o + 2. Let l = -55 + 24. Let i = l - n. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3588 - 1722. Let x = -1865.9995924 + g. What is x rounded to 5 dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51 - 51 - c**5 - c wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.49 - -0.01. Let r = 4 - h. Suppose k = 291 - 290. Which is the closest to 0.1? (a) k (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 32460*d = 32458*d - 51, 4*d = 3*k + 69 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by -199\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - -3) - (0 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-1265)\/92)\/(-11)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/7))\/s**(-2\/17))\/(s**(-5\/2)*s*(s*s**(-6)\/s*s)\/s) assuming s is positive.\nAnswer: s**(2221\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j + 15. Let r(i) = -10*i - 14. What is -6*r(z) - 5*w(z)?\nAnswer: 5*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3573725.\nAnswer: 5, 142949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 3*n**3 - 17 + 20 + 157*n - 18.\nAnswer: -3*n**3 + 157*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599056 to the power of 1\/2, to the nearest integer?\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(-1\/18)\/c)\/((c*c**(6\/11))\/c))**6 assuming c is positive.\nAnswer: c**(277\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-21) - (-1)\/3. Which is the smallest value? (a) 0.2 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 29 = -3*r, r + 3*r = 3*n + 20. Let h = n + 10. Which is bigger: h or -3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892651899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*c, -9 = -m + c + 4. Let f = -2 + m. Solve -w + 3*v - f = -2*v, 3*v = -3*w + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95120, 344, -12 in ascending order.\nAnswer: -95120, -12, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 e when three letters picked without replacement from jyeooeyoeoeeojyeye.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -383132, -383421, -383902, -384575, -385440, -386497, -387746?\n\"Answer: -96*h**2 - h - 383035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/1300 - (0 + 220\/1404).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 10*l + 2*l)*(-7*l**3 - 68*l + 68*l) to the form z*l**2 + n + c*l + s*l**3 + o*l**4 and give o.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + u + 1. Let h be m(-1). Let q = -51 + 56. Suppose 0 = -3*p + 5*v + 8, -7 = 3*p + 2*v + 13. Sort p, -1, h, q.\nAnswer: p, -1, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 - 432*v**2 - 431*v = 0. What is v?\nAnswer: -431, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 1\/3 (b) -0.1 (c) -1 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 3\/5, -2091.8 in descending order.\nAnswer: 3\/5, -43, -2091.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Suppose -5*u + 4*c + 8 = -t, -3*u + 6 = -3*c. Let i be u\/(-1 + (-9)\/(-6)). Let g(j) = -j**2 + 5*j - 1. Calculate g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*y + 38*y - 40*y + 60*y.\nAnswer: 169*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 2*y**3\/3 + y**2\/2 - y + 7. Suppose 5*v - 5 = 0, g + 5*v + 4 = -2*g. Let t(h) = -3*h**2 - h + 1. Determine g*t(p) - 5*j(p).\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t - 122 - 116 = -73 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-3*(-7)\/(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -491\/3 - -2509\/15. Let x = o - 37\/10. What is the fourth smallest value in x, 5, 3, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -188, -5, 5 in descending order.\nAnswer: 6, 5, 0, -5, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4229739, -4229743, -4229751, -4229763, -4229779, -4229799, -4229823?\nAnswer: -4229851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*t = 0, -3*b + b - 4*t = 0. Suppose b = -8*a + 223 + 1697. Suppose a + 211 = f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6175456055 to the power of 1\/2, to the nearest integer?\nAnswer: 78584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69a2 (base 13) in base 12?\nAnswer: 8703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345956 - 1037833\/3. Factor 0 - z*q**3 + 25*q**2 - 15*q + 5\/3*q**4.\nAnswer: 5*q*(q - 3)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 3*o**2 - 1. Let y be g(2). Suppose 9*q = 11*q - 8. Solve -q = y*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 35*z**3 + 8*z**2 - 11. Let l(d) = -23*d**3 - 5*d**2 + 7. Let x(o) = 5*b(o) + 8*l(o). Suppose 0 = -6*m + 8*m - 2. Give x(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:07 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -15. Suppose d*y = 2 + 58. Solve 0*w - 5*w = -y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57470.\nAnswer: 2, 5, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 66 + 6. Suppose 4*s - 55 + z = 0. Calculate the remainder when 29 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-666)\/1554*350\/12*((-36)\/(-10))\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 552, 1120, 2082, 3570, 5716?\nAnswer: 8652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5083?\nAnswer: 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32758 + 45?\nAnswer: 32803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/3))\/g)**(-1\/4))**(-38)*(g\/g**(-2\/11)*g**(2\/5)\/g)\/(g*g\/(g*g**(-2)*g)*g**1*g) assuming g is positive.\nAnswer: g**(-83\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(8\/5)\/(v\/(v**(-3\/16)\/v*v)))**(5\/8))**(-21) assuming v is positive.\nAnswer: v**(-693\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 - 20*c**4 - 10*c**3 + 40*c**2 + 5*c - 20 = 0. Calculate c.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1241*r + 7420. What is w(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 7:55 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 120 = 3*p, 0*f - 3*p = 4*f + 450. Calculate the common denominator of 83\/18 and (f\/(-16))\/(29\/(-4)).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 11*f**2 - 2*f. Suppose 13*a = -70 - 34. What are the prime factors of n(a)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.51936 and 3888.\nAnswer: 3887.48064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 - 22*r**3 - 8*r**2 + 5*r**2.\nAnswer: -22*r**3 - 33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -11, -2, 0.09, 4 in ascending order.\nAnswer: -11, -6, -2, 0.09, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8975.688 millennia to months.\nAnswer: 107708256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935262 + 935262 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 b, and 1 t when four letters picked without replacement from lthbhvhlhh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**5\/60 + 5*a**3\/6 - 133*a**2\/2 + 212. Let k(d) be the second derivative of l(d). Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-18 - (-16 - -12)) + -26?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*t + 141*t + 3*k - 7 = 0, 4*t - k - 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 975429947\/1250 + -780344. Calculate the common denominator of 11\/25 and k.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.0131, 0.3, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -391, 0, -2, -9, 1, 43 in decreasing order.\nAnswer: 43, 1, 0, -2, -9, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = -5*i, -2*i - 6 = -4*b. Let g(j) = j**2 - 13*j + 45. Let u be g(5). Solve u*d - 4*d = b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 10*z + 15. Give d(-14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 times -0.05\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 18*q**2 + 64*q - 2. Suppose -3*w + 32*w - 609 = 0. Let l be s(w). Solve 0 = -l*v + 11*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/(n\/((n\/((n*n*n\/n**(2\/19)*n)\/n*n))\/n*n)))\/n)\/n)*n**7)**(-38)\/((n\/(n\/n**(-5)))\/(n**3\/n))**(1\/88) assuming n is positive.\nAnswer: n**(-43113\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 - 150. Let x = p - -45. Which is the closest to x? (a) 2\/11 (b) 21 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54572, 218272, 491086, 873008, 1364032, 1964152, 2673362?\nAnswer: 3491656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*((x*x**0)\/x)\/x*x)**17)**(6\/25))**(-23) assuming x is positive.\nAnswer: x**(-2346\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - u - 2*p - 11, 0 = -2*u - 5*p + 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01235727 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = h + 15, 0*o + 3*o = -5*h - 26. Let d(f) = -3*f**3 + 11*f**2 + 4*f - 9. Is d(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 69 = -4*k, 0*k + 3*k + o - 49 = 0. What is the remainder when 57 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2 + 16*q = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*-6 + sqrt(300)\/(-2*sqrt(10)))\/(1*sqrt(1440)*-2).\nAnswer: -11*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 82*c + 60. Let x be (53\/2 - 9)*(-8)\/5. Let i be f(x). Solve -2*u - 2*u - 5*r + 10 = 0, 0 = i*u - r + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*k - 175. Let s(l) = 2*l + 17. Suppose -23 = 6*t + 1. What is the remainder when k is divided by s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.30297 * 8.\nAnswer: -18.42376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37689521.\nAnswer: 19, 31, 61, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/10*(1 - 48*7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 19 + 3. Let b = -0.6 - -0.9. Put 5, b, u in decreasing order.\nAnswer: 5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 36 = 4*r, 0 - 16 = -2*r - 2*j. Let q = r + -10. Find the second derivative of 5*u + q*u - 3*u - 20*u**2 + 21*u wrt u.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 6\/(-9)*(-1706 - 1)?\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 8*q**3 - 12*q - 8*q**3)*(-71 + 23 + 18).\nAnswer: -30*q**3 + 360*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1060)\/(-200))\/(2\/(-4)) - 56\/(-4)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 73*j - 11. Let a(t) = 25*t - 4. Let l(y) = -11*a(y) + 4*p(y). Let d(x) be the first derivative of 0*x**2 + 0*x + 1\/3*x**3 - 4. Determine d(l(r)).\nAnswer: 289*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 395687, 791379, 1187075, 1582775, 1978479, 2374187?\n\"Answer: 2*b**2 + 395686*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:48 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -714, 62, 818, 1548, 2246?\n\"Answer: -n**3 - 4*n**2 + 795*n - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (25\/(-5) + 2). Suppose 55 = w*j - 5*j. Suppose -9*p - 1108 = -j*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 41*d + 826. Let l be y(-20). Suppose 5*c + 2*x = 23, 2*c - 3*c - 1 = -x. What is the highest common divisor of l and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -11398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvvvx. Give prob of picking 2 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 475 + -39899\/84. Let v(k) be the second derivative of 1\/12*k**4 - 1\/4*k**2 - 1\/20*k**5 - 2*k + 1\/12*k**3 - 1\/60*k**6 + s*k**7 + 0. Factor v(b).\nAnswer: (b - 1)**3*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25709*t + 9645. Is n(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -49185.1.\nAnswer: -49185.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2473575*r - 2473579*r - 3*t - 36, 5*t = 3*r + 27 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 248971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 7:08 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21042, 36553, 52052, 67533, 82990, 98417, 113808, 129157?\nAnswer: 144458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1109, 18, -6 in increasing order.\nAnswer: -1109, -6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173 - 262. Let f = 9 - u. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125528 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (58\/3)\/(2\/9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25065 by 1671.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -1079.92.\nAnswer: -1079.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 37 = -16 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (2 - 332\/20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100995, 404037, 909099, 1616175, 2525259, 3636345, 4949427?\n\"Answer: -x**3 + 101016*x**2 + x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83d5 - -11?\nAnswer: 8406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4007*z**4 + 4*z**3 + 1998*z**4 - 2*z**3 + 2005*z**4 - 102 - 2*z - 4*z**3 + 2*z**2 to m*z**3 + u*z**4 + t*z + q + l*z**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 179 + 25 = 0. Let z be 0 + 1 - (0 - 20). What is the least common multiple of (8\/(-6))\/((-2)\/z) and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6386, 1, 3 in increasing order.\nAnswer: 1, 3, 6386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30267 at least 30267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-3)*-2 + (91 - -7) is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 235\/(-47) + (-16)\/(-2). Factor -2\/5 + 3\/5*c + 12\/5*c**2 + 7\/5*c**k.\nAnswer: (c + 1)**2*(7*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (4 + 3 + -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257139608.98369 + 257141390. Let w = 1781 - r. Round w to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-4)*8\/(-12). Suppose 0 = -p - 4*o + 12, -p + 3 = -7*o + 2*o. Suppose i*h - 5*h + p = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(-17 - 1 - 11)*(0*b - 2*b + 3*b + (-b - b + 0*b)*(1 + 1 - 4) + b + 2*b - 2*b) in the form k*b + o and give k.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*h - 10, -3*h - 8 = -2*o - 8*h. Let k be o\/9 - (-46)\/90. Suppose k*c**3 + 0 - 16\/5*c**2 + 6\/5*c**5 - 8\/5*c + 16\/5*c**4 = 0. Calculate c.\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*c + 53 = 58*c + 5*p, 4*p + 92 = -4*c. Let q(o) = -2*o**3 - 55*o**2 + 28*o - 8. Give q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15 - (13 - -45)) + 16 - -45) + 10 + 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 - 1.6. Let h = z - 0.8. Which is the nearest to h? (a) -5 (b) 0.1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 814 + -706. What is the remainder when v is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = a - 5*a, -3*a = 5*u. Suppose -53 = 3*v - a*q, -5*q - 42 - 113 = 5*v. Let z = v - -56. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (13 + 2 - 15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 483 * -20.8.\nAnswer: -10046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-6)\/(-3)) - 1. Suppose x*v + 24 = v. Let r = -1 - -1. Solve r = 3*o - 3*q - v, 3*q = 2*o - 5*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102338402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39396 is divided by 12417.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76980264287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*r + 18, -4*o - 4*r = -0*o - 48. Let c be o\/((-112)\/(-12)) + (1 - 1). Factor 0 + 0*g**2 + c*g + 3\/2*g**5 + 0*g**4 - 3*g**3.\nAnswer: 3*g*(g - 1)**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19684 and 84322.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from {z: 1, t: 1, c: 1, g: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -844998 divided by -7.\nAnswer: 120714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12772, 5, 1.\nAnswer: -1, 1, 5, 12772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 1\/228*a**4 + 0 + 0*a - 1\/57*a**3 + 17*a**2 - 1\/1140*a**6 + 1\/570*a**5. Suppose q(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12537675.\nAnswer: 3, 5, 103, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 + 34 = 0. Let m = 15 + f. Let a be m\/(-12) + (-52)\/(-6). Solve -a = 4*o + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q - 1. Let m be w(1). Suppose 3*j - 9 = -3*y, 0*j - 5*y = 2*j - m. Solve -j = 3*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*a - 35 = 0, -23869*k + 70 = -23854*k + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 2\/(-2)) + (-5 - -4). Solve -5 = -m*h + 3*u, 3*u = h - 1 - 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62327717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 314701 and 4349993.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*u + 87668, -25*d + 2*u + 438357 = -20*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106909 and 33?\nAnswer: 320727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.7 - -4. Suppose -3*o + 5*x + 12 = 0, -4*x - 1 = -2*o + 9. Let f = 0.144 - 0.044. Which is the closest to f? (a) o (b) z (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - 11) + -16 + -1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-87 - -92) + 0 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (-10 + 9 - -46) - -4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 131 = 5*p + 16, -4*p = -3*c - 255. Let j = c - -45. Let v be j\/15 + 1 + 1. Sort 2, -2, v in descending order.\nAnswer: 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13349236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3, -440.8, 13, 17 in ascending order.\nAnswer: -440.8, -3, -0.5, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.35 - 86.35. What is the third smallest value in 3, y, -0.3, -3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = s - 3 + 7, -q + 5*s = -2. Suppose 0 = 3*f - q*p - 3*p - 5521, 0 = -f + 4*p + 1831. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:47 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -649112\/5 + 129823. Suppose -82 = 5*k + b, -5 = 3*b + 1. What is the third smallest value in k, 4, w, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 6*b**2 - 20*b + 1. What is the lowest common multiple of k(11) and 20?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 6:52 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 1)*(1305*y**4 + 481*y**4 + 258*y**4) to the form x*y**4 + g*y**3 + s*y + f*y**2 + b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -879\/8. Let f be (1 - 66\/72) + (-11)\/(-66). Put x, f, 3, 2 in descending order.\nAnswer: 3, 2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4)*0\/1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/29 - 199\/145. Let f = 72 + -71. What is the biggest value in f, 3\/2, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 2 + sqrt(252) + 1)*5)**2.\nAnswer: 1800*sqrt(7) + 25425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38801 and 50291639?\nAnswer: 5543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724032959 to the power of 1\/3, to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65305 + 912*f**4 + 66214 + 0*f + 0*f wrt f.\nAnswer: 3648*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/7 + 870*m**3\/7 + 85438*m**2\/7 - 64170*m = 0. What is m?\nAnswer: -279, -161, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnnwwwn. Give prob of sequence nnwn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 881572 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18851321437 and -683.\nAnswer: -18851322120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -3*c - 4*k + 1, 3*k = 3*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -232a (base 15) to base 8\nAnswer: -16451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1772*q - 21263. Let w be y(12). Suppose -2*h + 0*h + 122 = 0. What is the greatest common factor of h and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 134600550?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 9*b**2 + b - 7. Let q(x) = x**3 + 27*x**2 - 27*x + 32. Let m be q(-28). Suppose -r = -5*k - 11, 0 = -4*r + 7*k - m*k - 24. What is n(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000049528062 to 7 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m - 12. Let q be (26\/(-39))\/(m\/(-9)). Sort 4, -5, q in ascending order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.776 decades in years?\nAnswer: 4377.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49529607 divided by 3?\nAnswer: -16509869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - y = 127, -514 = 5*r - 5*y + 141. Let i = -78 - r. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2224, 2223, 2222, 2221, 2220?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, c: 1, y: 2, r: 1, h: 1}. What is prob of picking 1 b and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-16)\/(-10)) + (-459)\/(-540).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1797\/7? (a) 220 (b) -0.5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*h + 29, h - 3 = -2*h - 4*b. Solve -9 = -h*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14013 - 227. List the prime factors of z.\nAnswer: 2, 61, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 2*f**5 - 3*f**5 + (-123*f**3 + 6*f**4 + 123*f**3)*(0*f - 3*f + 5*f) + 5*f**5 + 4*f**4 - 4*f**4 + 3*f**5 - 67*f**4 + 64*f**4 + 4*f**5.\nAnswer: 22*f**5 - 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*72\/(-10)*(-1245)\/(-747)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = o + 9, 0 = y + o - 3. Let d = -3 - 1. Let a = y + d. Solve -3 = -3*z + a*h, h - 6 = 3*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 7*r + 10. Let w(d) = -2*d**2 - 3*d + 1. Let s be w(-3). Let f be k(s). Solve -4*o - 4*n + 4 = 0, -f*o - 4*n = 3 + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413184 is divided by 2416.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -75*m + 154. Let o be n(19). Which is bigger: -1268 or o?\nAnswer: -1268","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = a + 2, -44 = -19*a + 89*a - 70*a + 11*q for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29519209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 7) in base 2?\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.8885l to millilitres.\nAnswer: 89888.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 97 - (1\/(-4) + 0)\/((-53)\/(-212)). Let d(g) = 3*g - 7. Let w be d(7). What is the highest common divisor of w and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 32 + 47 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 3, r: 3, d: 1, c: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 108 = -3*p, 2*r + 10 + 26 = -3*p. Is 2*(-1095)\/r*4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11417*o**2*v**3*x**3 + 2*o*v**3*x + 14*o*v**2*x**3 + 17*o*x wrt o?\nAnswer: 22834*v**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 7 - (2 - 6 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/4 - 141*x**3\/4 - 2383*x**2\/2 - 5934*x = 0 for x.\nAnswer: -92, -43, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 35*k**2 - 114*k - 4372. What is s(-34)?\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1702 = 3*h - 4*u, -2*u - 179 - 959 = -2*h. Suppose -369 - h = -z. What are the prime factors of z?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63573 (base 14) to base 4\nAnswer: 322203001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -7399.\nAnswer: -7406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 25. Let a = b + 7. Put 2, a, -3 in descending order.\nAnswer: 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -23424*k - 22580*k + 47366*k. Let x(y) = y**2. Calculate x(z(g)).\nAnswer: 1855044*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 + 79 = 11*c. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195 * -132.\nAnswer: -25740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5750376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 bigger than -425770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zggaqqaxzqzhaazhxx. What is prob of picking 1 x, 1 h, and 2 g?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99818.\nAnswer: 2, 29, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/(-138) - 1)*(-4)\/3.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 9. Suppose 5*g - 5*c + 9 = -6, 0 = g - 2*c + 8. Suppose -1 + 7 = y. Let a(j) = -y*j + 10*j - g*j - 5. Calculate 5*a(k) + 3*z(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9047962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32452655?\nAnswer: 5, 23, 59, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(108) + 3*sqrt(108)*-3 - sqrt(108))\/(1*-2*sqrt(729)))**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*a + 10684 + 3945, 5*k - 14633 = -a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmam when four letters picked without replacement from mammaaammaaamaam.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 53, 15, -41, -121?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893212 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(2\/5)*l))**(2\/137)*(l**5\/l)\/(l\/(l**(-1\/5)*l)) assuming l is positive.\nAnswer: l**(2599\/685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -49, 5, 4, -5, -1, 310.\nAnswer: -70, -49, -5, -1, 4, 5, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 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: Collect the terms in 67668 - 67668 - 5*n**2 + 31*n**2 - 31*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.5 - -56. Which is the nearest to -1? (a) z (b) -1\/5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121.065*0.38.\nAnswer: -46.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484232?\nAnswer: 2, 7, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149952373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 15*j - 306 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/5)*g**11*g\/(g\/(g\/g**(-12)*g))*g*g*g**(-12) assuming g is positive.\nAnswer: g**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z + 82 - 208 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*w - w**2 + 158*w - 6*w**2)*(-2*w**3 - 3*w**3 + 6*w**3).\nAnswer: -7*w**5 + 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (60 - 103) + -16 + 61\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06295728 and -5.174.\nAnswer: -5.11104272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -17*d - 65. Calculate h(19).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let v(j) = -8*j + 8*j**2 - 5*j**2 - 5*j**2. What is f(v(h))?\nAnswer: -8*h**4 - 64*h**3 - 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256 * 0.3.\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:44 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4533.\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17184, -34562, -51938, -69312, -86684, -104054, -121422?\nAnswer: -138788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 353495 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -42, -85, -134?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*k**3 + 3*k**5 + 12*k**5 - 387*k**2 - 18*k**3 - 13*k**3 wrt k.\nAnswer: 900*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4 - 18*v**2 + 24*v - 9.\nAnswer: 3*(v - 1)**3*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/10524, -2, 0.1 in descending order.\nAnswer: 0.1, -11\/10524, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 6 = 39 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28324 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -482\/11 - -44. Suppose 4*f - 108 = -124. Sort 2\/7, g, 0, f.\nAnswer: f, 0, g, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 2*d**4 - d)*(-73 + 10358 + 3873 - 678)*(3 - 3 - 2) to h + p*d**3 + g*d**4 + z*d + o*d**2 and give g.\nAnswer: -53920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-2 + (-27)\/(-15). Let k = -3.9 - -4. What is the second biggest value in -3, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/17*q**4 - 5226\/17*q**2 + 2588\/17*q + 1200\/17 + 1452\/17*q**3 = 0.\nAnswer: -2\/7, 1, 3, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30700*i + 5268 + 517660*i - 2636 - 2632 - 104171*i)*(1 + i**3 - 1) in the form a*i**3 + z*i + b*i**4 + o*i**2 + g and give b.\nAnswer: 444189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 20, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(3) + sqrt(48)))\/sqrt(6) - -1*((-1*sqrt(30) - sqrt(30))\/sqrt(6))**2.\nAnswer: sqrt(5)\/5 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (89392\/6)\/((-264)\/(-396))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and -296.\nAnswer: 7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdbfdnrqqbqr. What is prob of sequence qnr?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**18\/(b*b\/(b*b*b**(-1)*b))**(-7\/2) assuming b is positive.\nAnswer: b**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 + 7 = 0. Let l be s + ((-20)\/(-5))\/(-1). Let y(h) = 0*h + l*h + 5*h - 3*h. Let m(a) = 20*a**2. Calculate y(m(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 7\/3, -11, 9337, 0.5 in decreasing order.\nAnswer: 9337, 7\/3, 0.5, 0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475023.\nAnswer: 11, 134093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13289 is divided by 173.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxd when three letters picked without replacement from {x: 1, k: 1, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567707883.\nAnswer: 3, 189235961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12960967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g**2 + 4*g + 9. Let q be l(5). Suppose 3*j - 303 = 3*s, -88 + q = 2*j + 5*s. Find w such that -2*w**3 - 97*w**4 + 11*w**3 - 3*w**5 + j*w**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1829*u**3 - 4242*u?\nAnswer: -10974*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 - 5*s - 5. Let g = -235 + 230. Let h be u(g). Sort -1\/3, -6, h, 0.3.\nAnswer: -6, h, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 110, 165, 2 in increasing order.\nAnswer: -12, 2, 4, 110, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**11)**(12\/17)*(s*s**(-13))\/s**10)**(22\/3) assuming s is positive.\nAnswer: s**(-5324\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 19 + 28 + 11 + 7 + -7?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/156*6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - sqrt(272)*-1)*-6 + sqrt(272) - (sqrt(272) + -1*sqrt(272) + 5))**2 - ((0 + sqrt(68) + 2)**2 + -4).\nAnswer: 432*sqrt(17) + 32869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiqpqoooiiiqi. What is prob of picking 2 o?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let i = m - 3. Find the second derivative of -3*u**2 - i*u + u + 0*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -11 + 26. Let b be (11 + -5)*14\/l. Suppose 3*r = 5*t - 4, -t - 1 = 3*r - 27. What is the highest common divisor of b and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - 4*y)*(0*y + 0*y - y)*(25 + 73 - 49)*(-23*y - 1 + 16*y - 1 + (4*y - 2*y + 0*y)*(2 - 7 + 3)).\nAnswer: -1078*y**3 - 196*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 2, x: 2, e: 2, m: 5, b: 2}. Give prob of sequence xxr.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562249830 to the nearest integer?\nAnswer: 23712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -231.7 - -45.7. Let m = -192.52 - r. Round m to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 - (-48)\/3. Let j = 16 - b. Suppose j*t + 223 = t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 32 = -3*i + i - 3*d, -360 = -62*d + 198 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -43. Calculate the highest common factor of b and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*m = -1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 35 = -5*o, -4*o - 4*w + 33 = -11. Let r(u) = 4*u**3 - 3*u**2 + 3. Let j(s) = s**2 + 31 + 23 - 55. What is o*j(c) + 2*r(c)?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 4, l: 5, j: 2, f: 1}. Give prob of sequence xlxr.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1005919 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 1. What is the nearest to h in -1\/4, -0.5, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 39. Let m be (v\/14)\/(6\/(-42)). Let l(d) = 4*d**3 - 3*d**2 + 3*d. Let c(p) = p**3 + p**2 + p - 1. Let i(x) = 2*c(x) - l(x). What is i(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 767?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 29 - 19 = 0. Let s(d) = -4*d**3 + 3*d**2 - 3*d. Let l be s(-3). What is the greatest common divisor of l and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 + 3627*y - 335724 = 0. What is y?\nAnswer: 101, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 3*h**3 + 2*h**2 - 20*h**3 + 14*h**3 + 11*h**3 - 1 - 9*h**4 as o*h**3 + w + y*h + z*h**2 + x*h**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = 2*z. What are the prime factors of (-74)\/(-1 - -2)*z\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-345)\/(-27) + ((-1064)\/72 - -8 - -7). Let x(d) = -d**2 - 3*d. Let c be x(-3). Suppose -h*t + 927 - 69 = c. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1511649 - -2500756. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -22. Suppose -12*y = -2*y - 650. Calculate the highest common factor of y and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1667 + 841 + 32*q**2 + 16*q**2 + 826. Let y(o) = -o**2 + 3*o**2 - 5*o**2. What is z(y(m))?\nAnswer: 432*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1702, 3395, 5068, 6721, 8354, 9967?\n\"Answer: -10*v**2 + 1723*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + 38. Let o = s + -67. Let u be 3\/(-9)*1\/1. Which is the closest to u? (a) -0.2 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5242*w + 10480. Let b be y(2). Suppose -3 + 23 = 5*k, -2*g + 2*k - 6 = 0. Let c(a) = -a + 1. Let t(l) = 4. Determine b*c(u) + g*t(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93261894*c - 167150764.\nAnswer: -93261894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 5*d**2 - 6*d - 6. Let t be a(6). Let j(p) = -p**2 - 12*p + 3. Is j(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5, -16.7, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/42*(-789)\/(-1315).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 + -2 - 5)*(-2)\/(-4). Suppose -i*z - 4*n = -186, 3*z - 3*n + 2*n - 201 = 0. Calculate the remainder when 105 is divided by ((-6)\/1)\/((-11)\/z).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -1\/3, -3\/8, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -18*l**2 - 365*l + 134844. Calculate d(77).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3 (c) 12818 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((2\/9)\/((-40)\/(-60))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 3*x**2 - 3*x**2 + (3*x**4 - 3*x**4 + 15*x**5)*(5 - 2 - 2) - x**5 + x**5 - 3*x**5.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14294444 and 12.\nAnswer: 42883332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -12, -16, -20, -24, -28?\n\"Answer: -4*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(525)*3)\/((sqrt(847) - -1*sqrt(847))*6)*3)**2.\nAnswer: 6075\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1836 + 426. Let t = z + 1409.995484. What is t rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112366*99\nAnswer: 11124234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2364104 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Suppose q + 2*h - 5 = 0, -3*q + h - 22 = -2. Let i = 6 + -4. Sort q, i, f in descending order.\nAnswer: f, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 32. Differentiate -b - 1 + 11*t - 5 with respect to t.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + -3*(sqrt(275) + sqrt(275) + 2 + -4))*-6 + 3.\nAnswer: -93 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 55581*c + 333519. Determine b(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 - 57. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = 5*b + 3, q - b - 5 = 0. Let w(y) = -2*y - 10. Let r be w(-7). Suppose -7*n = -r*n - 9. Solve 13 = n*g - 5*a, -5*g - 7*a - 1 = -q*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4389 is divided by 397.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64326 is divided by 4155.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**8\/280 - 13*j**7\/420 - j**6\/45 + 2*j**3 - 18. Let o(l) be the third derivative of v(l). Find i, given that o(i) = 0.\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/(j*j\/j**1*j*j*j)*((j**0\/j)\/j*j)**(-42))**(-3\/8) assuming j is positive.\nAnswer: j**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -175887712 divided by 43928\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 4*g + 6*g)*(-20 - 11*g + 20) + 3*g**2 - 2*g**2 - 2*g**2 in the form o*g + a*g**2 + s and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.23 - 1.098. Let p = y + 1.048. Round p to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*v**2 + 16\/3*v - 88\/9.\nAnswer: -2*(v - 22)*(v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 1:41 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v + x - 3*x, 4*x = 5*v - 20. Let i be (-2)\/(-6)*(-24)\/v. Is 5 a factor of (-1)\/2*i*17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 190*q + 23*q + 5022 = -66*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -222, -502, -894, -1398, -2014?\nAnswer: -2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3178, 2984, 2790?\nAnswer: 2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 111423*z**2 - 111426*z + 222848.\nAnswer: (z - 111424)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70036.\nAnswer: 2, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-36))\/((-24)\/36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/6720 + o**7\/504 - o**6\/144 + o**5\/60 - 5*o**4\/12 + 33*o**2. Let z(n) be the second derivative of h(n). Determine z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1\/9 (c) -21 (d) 90708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 + 5*k**2 - 3*k + 2. Let x be u(2). Solve 3\/4*p**2 + 3\/4*p**3 + 1\/4*p**4 + 1\/4*p + x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 7*s**2 + 45 - 8*s**2)*(-s - 29 + 29).\nAnswer: s**3 - 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 9}. Give prob of sequence oo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 3766 + 3776 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 16*j = -3203 + 263. Solve 18 = 93*q - j*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/3 (b) -0.5 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (6 - (10 + 1) - (6 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -22*w**3 - 3*w + 3. Let p(y) be the first derivative of -551*y**4\/4 - 38*y**2 + 76*y + 949. Determine -76*f(d) + 3*p(d).\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 665559 - 664948.718. Let a = -611 + p. Let k = a + 0.7. What is k rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(25\/((-825)\/(-792))).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + l**3 + 2*l**3 + (-4*l**2 - 3*l**2 + 4*l**2)*(-8*l + 12*l - 7*l) to the form n*l**3 + k*l**2 + s*l + w and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31638114307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 295513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 1. Let z be t(-1). Suppose 0 = h + z. Let y(v) = -10*v**3 + v**2 - v - 1. Let o be y(h). Calculate the greatest common factor of o and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 + 51*n**2 - 28*n. Let p be c(-22). Round p to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 = 2*l + 4*q - 217, 4*l = 4*q + 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {d: 5, a: 13}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9947, 9945, 9943, 9941?\n\"Answer: -2*j + 9949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -28726*b + 3. Let f(c) = -3*c. Calculate f(v(k)).\nAnswer: 86178*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5)\/6*(-24)\/40.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.181891 (c) -14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luo when three letters picked without replacement from jmulozz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(252) - (sqrt(252) - sqrt(252)*-2)))**2 - ((sqrt(171) - (sqrt(171) + -1 + sqrt(171))) + sqrt(19) + 2).\nAnswer: -413\/144 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z. Let j(s) = s - 5. Give j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/32359 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827008?\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 133402117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*v**2 + 78*v**2 + 65 - 14*v**3 + 41 - 107.\nAnswer: -14*v**3 + 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 41796114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 + 202 - (-4 - (47 - 3)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 0.4420188.\nAnswer: -0.5120188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959311 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 4*q**2 + 2*q + 3. Let y be x(-2). Let j be 1 + (-2)\/y - -6. Solve 3*t = 6 + j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11741 - 7939. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l\/l**(-2\/9)))\/l))\/l**3*l**(1\/5)\/l*l**(-6))\/(l**(-5)*l\/((l**(-2)*l)\/l))**(1\/17) assuming l is positive.\nAnswer: l**(-5707\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 47 (b) -0.443 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6729?\nAnswer: 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*z + 3*v, -4*z - 4*v = -6*z - 12. Suppose 0 = -z*g + 26 + 2. Suppose 13*k + 29 = 211. What is the highest common factor of g and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/58776 and -145\/372.\nAnswer: 58776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/85)\/u)*u**(-33))**(11\/3))**(1\/3) assuming u is positive.\nAnswer: u**(-28963\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28892 divided by 32?\nAnswer: -7223\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**5\/2 - a**4\/3 + a - 1. Let n(u) be the first derivative of x(u). Factor n(t).\nAnswer: -2*t**2*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 1. Let w(j) = -2*j**2 + 4*j. Let n(i) = i**2 + 2*i + 2. Let a be n(-2). Let l be w(a). Suppose 0 = -z - 2 - l. What is v(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 161 (c) 0 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -9 + 13 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21242 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -13*y + 6. What is the fourth biggest value in -10, 5, y, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**3\/3 - 1. Let q(i) = -12 + 5*i - 12 - 2*i - 182 + 185. What is q(u(h))?\nAnswer: 6*h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 10*x**2 + 2*x + 19. Let u be k(10). Suppose -u*f = -37*f - 1078. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 806904743 from -0.03.\nAnswer: -806904743.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 224.4658.\nAnswer: 112.2329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -3*p - 5*n - 21, 2*p - 24 = -3*n. Sort -1, -2, p in ascending order.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - (sqrt(539) + (-1 + sqrt(539))**2*-3).\nAnswer: -42*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 803 and 5840.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1625 - -1616. Suppose 7*l - 4 = 3*l. Let n(o) = 2*o + 7. Let x(k) = -1. Let h(f) = l*n(f) - 4*x(f). What is h(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2. Let m(t) = 5*t**2. Let k(w) = -w**3 - 15*w**2 - 2*w - 22. Let g be k(-15). Determine g*x(y) - 5*m(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 9*p**2 + 164*p - 168*p.\nAnswer: -6*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**5 + 27*s**4 + 526*s wrt s.\nAnswer: 120*s**3 + 324*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, f: 2, z: 1, v: 1}. What is prob of sequence fz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 274 and 5414377?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 4*o - 12.\nAnswer: (o - 2)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2659 - ((-4 - -1) + 8)) + 0\/(-7)?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22\/5*j**3 - 6\/5*j**4 + 0 - 14\/15*j**5 - 22\/15*j**2 - 4\/5*j = 0 for j.\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7459, -59832, -202217, -479692, -937335, -1620224, -2573437?\nAnswer: -3842052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*k + 260 = 0, -z + 18 + 34 = k. Let r = z + -51. Suppose d = -r + 6. Solve -d*h = -0*h + 10, 4*x = 5*h - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 + 4 = 0. Suppose 0 = b + 2 - 4. Solve 2*n - 18 = -b*v - 2*v, -d*n = -4*v + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 11308*d + 15983858.\nAnswer: 2*(d - 2827)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -89823, -27, -3, -1, 1 in ascending order.\nAnswer: -89823, -27, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*n - 4*t, -4*t = -3*n - 3*t + 114. Let b(j) = -j**3 - 7*j**2 - 2*j - 4. What is the remainder when n is divided by b(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 2*s**3\/3 + 5*s**2\/2 + 5*s - 497. Give h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*x - 3*x. Let t = x - 50. Let z be 2 + 0 - 2 - (t - -8). Put -3, z, 3, 0 in decreasing order.\nAnswer: 3, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -63 + 99. Let q = a + -9. Solve q*w = 2*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3 - 1021?\nAnswer: -10c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1718695?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f**2 - 29 + 13*f**2 + 6*f**4 + 2*f - 22*f**3 + 30 in the form b*f**4 + j*f**3 + u*f + s*f**2 + a and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 24*j**2 + 23*j + 36. Let v be r(23). Let f = v + -22. Suppose -f*w - 93 = -17*w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*d - 3*i + 514, 0 = -5*d - 2*i + 516. Let h(m) = m**2 - d*m + 104*m. Let f = 10 - 5. Let w(s) = s**2. Give f*w(n) - 4*h(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3558, -4185, -5230, -6693, -8574?\nAnswer: -10873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 1 + (267 - 239).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -279, 110, 1149, 2826, 5129, 8046, 11565, 15674?\n\"Answer: -2*l**3 + 337*l**2 - 608*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*5\/10)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 846.9 - 870.099. What is s rounded to zero decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from casaqsfcccs. Give prob of sequence acs.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 758748.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5460 + 3652. Let h = -1640 - g. Let z(k) = k**3 - 3*k + 3. Let s be z(3). Calculate the greatest common divisor of s and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41562 by -6927.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 2. Let v(d) be the third derivative of d**4\/24 + d**3\/6 + 3*d**2. Calculate -i(m) + 3*v(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/20? (a) 0 (b) 3 (c) -3.63 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n**2 + 3*n - 1. Let v be g(2). Let f = -1 + v. Solve -5*u - 8 - 12 = f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 4, r - 7 = -5*x + 2*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**2 + 21 - 21.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + 2 + 2*sqrt(720) - ((-1 + sqrt(720))**2*2 + 3)) + -1 + 0.\nAnswer: -1450 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-5))\/(3\/(-15)). Let n be 2\/(-16)*(h + -5). What is the third smallest value in -3\/8, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -2. Let t = -2 - g. Let p = 6 - t. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 3. Let x be k(5). Suppose -h + 3*b = 4*b - 7, -4*b = x*h - 12. Let o = 11 - h. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqqvqeqeaoaaqqoqo. Give prob of sequence eaqe.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 41. Let j = z + -42. Let i = j - -289. Calculate the highest common factor of i and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/(f*f**(-2\/3))*f*f))\/(f**(-3)\/f)*(f\/f**(-36)*f)**(5\/14) assuming f is positive.\nAnswer: f**(292\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1705\/20)\/11)\/((-2)\/(-8)). Suppose -27*u + q*u = 0. Solve 5*l - 20 = -u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000110101101110101011 (base 2) to base 10\nAnswer: 6511531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -1 - 23. Let b(l) = -l - 16. Let n be b(x). What is the remainder when (-42)\/n + (-12)\/8 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01967422 rounded to four decimal places?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, p: 1, w: 1, r: 3, x: 2, b: 4}. What is prob of sequence rpby?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 1\/60*d**5 - 7 + 1\/2*d**3 + 5\/24*d**4 + 2*d**2 + 0*d. Let l = -3 - -9. Let t(b) = b**2 + 6*b + 4. What is l*j(q) - 5*t(q)?\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9944 + -9943. Let w(y) be the first derivative of -5*y - 13\/2*y**2 + p. What is the derivative of w(q) wrt q?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40833807 by -1.\nAnswer: -40833807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038 rounded to the nearest ten?\nAnswer: -2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fepapgpapppaaapfaaaa?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 139639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = -3. Let t(u) = -45 + 23 + w*u + 23. Suppose 2*b = -3*y + 1, 10 - 21 = -5*b + y. Give t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 451, 648, 825, 982, 1119, 1236?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 3. Let x be u(8). Suppose -v = 4*y - 4*v - 36, -x*y + 45 = -v. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10996*v - 11135*v + 3475 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**19\/(w*w**(-2\/27)*w*w**(-27)\/w))**(-4) assuming w is positive.\nAnswer: w**(-3842\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + g + 8. Let f be m(0). Let j = 39 + -19. Suppose 0 = 4*s - f - j. What is the lowest common multiple of 5 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4469.75, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2\/9 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 8*j - 5. What is the lowest common multiple of (2\/3)\/((-16304)\/816 - -20) and m(-5)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 51*j + 5. Let u(z) = -943*z - 92. Let h(f) = 14*f**3 - 10*f**2 + 8*f + 4. Let m be h(2). Give m*n(g) + 5*u(g).\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 4. Let k be b(-7). Let g be 11 - (1 + (-6)\/k). Let m(d) = d**2 - d + 4. Let t be m(-4). Calculate the greatest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86366268 rounded to three decimal places?\nAnswer: -0.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22222 (base 12) to base 5\nAnswer: 2421432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {z: 1, w: 2, q: 3, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*p - 23, -15 = -2*p - 3*p. Suppose 23 = 3*l + h. Suppose t - 143 = -l*o, 5*t - 24 - 82 = -4*o. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -31, -67, -115, -175?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16 + -7 + 5 + -1. Let b be 5 - (3 + 0 + v). Let l be (5 - -1)\/((-2)\/(-14)). What is the greatest common divisor of l and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5 = 1. Let c be y*(-2)\/(-4)*-24. Suppose -3*r = r - c. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2)\/((-7)\/14). Is p + (-4)\/((-8)\/362) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.5 times 0.4?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -95b10 + -4a?\nAnswer: -95b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 146634180 divided by 146634180?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence den when three letters picked without replacement from {d: 2, e: 2, q: 1, n: 1, z: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-144)\/30))\/(((-4)\/4)\/(9\/9))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1399858?\nAnswer: -1399860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 14*o = -408. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213013000003 + -10?\nAnswer: 1213012333333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-20)*-3 - (6\/15 + 2). What is the closest to 3 in -1\/3, a, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -255 - 366 + 622 + 4*c**2 + 14*c**2. Let i(j) = -3*j. What is i(o(b))?\nAnswer: -54*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 5:27 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003106 rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -n, -51 = 4*n + 2*m - 107. Solve 43*d + n = 47*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + q + 0*q**2 - 136 + 136.\nAnswer: -4*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-8))\/((-4)\/8 + 0). What is the nearest to 0 in -0.1, 0.4, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) -7\/6 (b) -4 (c) -5 (d) 8 (e) -12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) 147 (c) 502 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:00 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 + 4*z + 7. Let p be (6 - 1)*(-5 + -13). Let f = p - -98. Calculate the smallest common multiple of f and w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 28. Let c(o) = 3*o + 2. Let p = 1 - 7. Let w(n) = 2*n + 1. Let y(k) = p*c(k) + 10*w(k). Determine y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513117813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 24*a**2 + 43*a - 3. Determine p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841343 is divided by 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4926.73 - -0.4.\nAnswer: 4927.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i*i*i**(-10))\/i))**(-2\/53))**11 assuming i is positive.\nAnswer: i**(-242\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 2*a**2 - 4*a + 4*a + 2*a)*(-3 - 1 + 8 - 3 + 4 - 2 + (4 + 2 - 7)*(0 + 2 + 0) - 2 + 2 + 2).\nAnswer: 3*a**3 + 6*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and -364837.2.\nAnswer: -98506.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(-3)\/12*-2. Let v(g) = g**3 - 5*g**2 + 2*g - 4. Let l be v(w). Suppose -z - 2 = 3*k, -k + 0*k = 2*z - l. Put -2, z, 5 in decreasing order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let x(j) be the second derivative of 487*j**4\/4 + 2246*j + 2. Determine x(i(q)).\nAnswer: 5844*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-15)*((-42)\/(-4) + 3). Put 5, h, -1 in increasing order.\nAnswer: -1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let z(x) = x**2 - x - 1. Suppose 0 = -2*b + a, -5*b - 3*a = -14 - 8. Let w(t) = 5*t**b - 3*t + 0 - 3*t - 6. Determine n*w(h) + 6*z(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5068*c. Let b(k) = -156*k**2 + 192*k. Calculate b(z(x)).\nAnswer: -4006801344*x**2 - 973056*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from qvvvvvvqvq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 7 (b) -0.05 (c) -33 (d) 0.21 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/8 - (-8)\/(-32). Suppose -6 = 3*m, -527 = -l*n - m + 286. What are the prime factors of n?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 15790*j - 15799*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**12)\/(m\/(m*m**(-10\/9)\/m)*m)*(m*m**(2\/11)\/m)\/(((m\/((m**12*m)\/m*m))\/m)\/m) assuming m is positive.\nAnswer: m**(7\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 - -3) + (-1 - (2 + 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5756 - -1157. Does 28 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-2*m**2 - 3*m**2 + 4*m**2)*(-4*m + 6*m + 4*m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 2, 0*n - 4 = u - 2*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 6\/17*u + 2\/17*u**3 - 6\/17*u**2 - 2\/17 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17562*h + 35060. Calculate j(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 778*p - 15283. Determine t(19).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and -0.0267?\nAnswer: 11.9733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -85175*v. Let s(m) = -682*m**2. Calculate s(o(g)).\nAnswer: -4947760386250*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 15 - 3. Suppose -3*m - 3*m = 30. Put m, 8, o, 5 in decreasing order.\nAnswer: 8, 5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (6 - 11)) + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**3 + 2*t**2 + 7*t + 6. Let l(q) = q**2 + q. Let k be l(-3). Let g(a) = a**3 + a + 1. Let i(j) = k*g(j) - v(j). Factor i(p).\nAnswer: -p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/7 - 2637*o**3 - 28550754*o**2\/7 - 479712480*o\/7 + 508281696\/7 = 0. Calculate o.\nAnswer: -3068, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from wznzoez?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -884.2109 rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*z + 1543 = 2297 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) - ((-51)\/85 - 8\/20). Factor -2\/15*v**2 - 2\/3 - j*v.\nAnswer: -2*(v + 1)*(v + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, 10, 41, 84, 139?\n\"Answer: 6*x**2 + x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132) + (((sqrt(132) - (sqrt(132) + -2*sqrt(132)) - sqrt(132)) + sqrt(132) - sqrt(132)) + sqrt(132))*-5)\/sqrt(12))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69678097 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40 + 70*z**2 - 26*z**2 - 1 + 10 wrt z?\nAnswer: 88*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-7)*b)\/b**(5\/6))\/(b**(-2\/5)\/b**(2\/9)) assuming b is positive.\nAnswer: b**(-289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6*y + 4 = -2*y, 2*y - 23 = 5*o. Let d be -4 + 8 + o + 125. Let k = 199 - d. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -43*a**3 - 2*a**2 - 5*a + 2. Let l(k) = 44*k**3 + 3*k**2 + 6*k - 2. Calculate -4*d(i) - 3*l(i).\nAnswer: 40*i**3 - i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from mqpqpmqqze?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -3 (b) -8.37 (c) 0 (d) -2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sww when three letters picked without replacement from tjcwtsajsssw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - 1\/((-1)\/2). Let f(i) = -4*i**2 + 2*i - 308. Let j(s) = -6*s**2 + 4*s - 494. Let l(p) = 8*f(p) - 5*j(p). Determine l(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13138 and 2.\nAnswer: 13138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 3937.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*g = 111*g + 6. Suppose 0 = 2*b + g*r + 26, r = b + 3*b + 57. Which is smaller: -13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.981ml to litres.\nAnswer: 0.194981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1943.5 and 0.17.\nAnswer: -330.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 12708*d + 317075.\nAnswer: (d + 25)*(d + 12683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -10 - (1 - (0 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6362, 6077, 5792, 5507?\nAnswer: 5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -182\/19 + 100483\/10488. Let f = -4189 + 4190. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 22*c + 162. Is b(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n\/(n*(n**(5\/4)\/n)\/n)*n*n*n\/((n*n**(-1\/9))\/n)*n*n*n**1)\/((n*((n*(n\/(n\/n**(-2\/9)))\/n)\/n)\/n)**1*(n\/n**(-7\/4)*n)\/n**3) assuming n is positive.\nAnswer: n**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/720 + x**4\/2 + 3*x**2. Let z(r) be the second derivative of d(r). Let l(w) = -3*w**2. Determine l(z(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/5)\/c*c**0)**(-18\/11)*(((c*c\/(c**8\/c))\/c*c)\/(c**(3\/4)*c))**(3\/5) assuming c is positive.\nAnswer: c**(-747\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/621 (c) -1.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(sqrt(1100) - (-1 + sqrt(1100) + -1)) + (sqrt(88)*4*-5)\/(-4*sqrt(8)*-3))**2.\nAnswer: 80*sqrt(11) + 5459\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 - 9*r**3 - 15*r**2 + 9*r + 12 = 0. Calculate r.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -o - 92, 5*o - 17 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 485 = 17049. Let r = b + 1311. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*d - 77*d + 23*d + 4578*d**2 as x*d**2 + l*d + i and give x.\nAnswer: 4578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1571 + 2438. Suppose 3*m = -0*m + a. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 8710604?\nAnswer: 4\/2177651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f + 0*f - f + (-65 + 96 + 37)*(57 - 18*f - 57).\nAnswer: -1225*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023767499 to 7 decimal places.\nAnswer: 0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084894505 at most 2084894506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l*l\/(l**(1\/5)*l))**42 assuming l is positive.\nAnswer: l**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1273881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -y + 22779, 6580 = -3*w + 5*y - 7105. Let z = -2610 - w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 168. Let z(f) = -f**3 + 16*f**2 + 25*f + 15. Is z(o) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppppppldpppppdpppdd. What is prob of picking 1 l and 1 d?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122 and 367.343.\nAnswer: -44815.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0051444201 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -23*o**3 + 2*o**2 - 1. List the prime factors of q(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 37845*a**3 + 37857*a**3 + 45*a - 75704*a**3.\nAnswer: -2*a**3 + 51*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41688 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from hckchycychhcckchy?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, m: 3, b: 2, f: 3, u: 1}. What is prob of sequence mb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:26 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -10*h + 13*h. List the prime factors of 2\/10*-196*(h - -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 1596247 + 1596247 - 21*w**2.\nAnswer: -21*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*i + 114, -2600 = -2*j - 5*i - 2457 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and (-49)\/(-6 + -5 - -10) - -11.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*v = 24, -w - v + 2*v = 6. Let f = -1146\/7 - -164. Which is the nearest to f? (a) -5\/2 (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -13*b**3 - 17*b**2 - 9*b + 2. Calculate n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47844, 95684, 143524, 191364, 239204?\nAnswer: 287044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 0.164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-6))\/(75\/90). Solve -5*h = -4*g + 23, h - 4*g = p*h - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:55 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*d + 12, 2*s + 4 = -5*d + 3*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 2.\nAnswer: 319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*j + 13. Let i(d) = -d**2 + 0*d**2 + 12 + 4*d - 1 + 6*d. What is the remainder when 37 is divided by i(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11614753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -1 (b) 4 (c) -2\/11 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2515970 divided by -115.\nAnswer: -21878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q)\/q)**42\/(q**(2\/7)*q)**35 assuming q is positive.\nAnswer: q**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1030 - -1759. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1122011 (base 3) to base 13\nAnswer: -709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28552123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 293254426*g**2\/7 + 10749769942700896*g\/7 + 10749769649446472\/7.\nAnswer: 2*(g + 1)*(g + 73313606)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6842773519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2039566598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*u + 2*u - 4*u)*(1 - 1 - 3*u**2 + (4*u - u - 2*u)*(3*u - 2*u - 2*u)).\nAnswer: -4*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25422*s + s**3 - 25422*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2975, -5339, -9259, -14735?\nAnswer: -21767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -25 (b) 1173 (c) -14\/5 (d) -3 (e) 8 (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70259 is divided by 23412.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43444 (base 13) to base 11.\nAnswer: -83376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 5 + 4 + 7*z)*(2*z - 3*z + 0*z).\nAnswer: -5*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 825?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f - 2. Let h be z(2). Let m(q) = -q**2 - q. Let r = 32 - 23. Let c(x) = -x**2 + 8*x + 3*x**2 - r*x - 3*x**2. Calculate h*m(d) - 5*c(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1002*h + 1702. List the prime factors of r(24).\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8 and -73\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*9\/(-6). Let p be 18\/(-4) - 1\/q. Let o(w) = -4*w**3 + 2*w**2 + 5*w - 3. Let b(g) = -7*g**3 + 3*g**2 + 9*g - 5. Determine p*o(j) + 3*b(j).\nAnswer: -j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 - 1\/6*l**3 + 3*l + 0*l**2. Let n(m) = -2*m + 4*m + 0*m. Determine g(n(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(2\/2)\/(-1). Suppose 9*z - 2 - 7 = h. Let v = 13 + z. What is the least common multiple of v and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 61*d**2 - 36*d + 282. Is j(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + 203. Suppose 2*m = -2*m - 5*a + j, 0 = 2*a + 10. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4 + 214*d**3 + 3346*d**2 - 90766*d + 87204 = 0. What is d?\nAnswer: -78, -43, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 11*s - 17. Let w be m(9). Let f be 56\/21*(-3)\/(-2). What is the greatest common divisor of w and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 + 5 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7142761 is divided by 223210.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -919410 divided by -153235?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:53 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9842299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(96) - sqrt(96)) + sqrt(24) - (sqrt(96)*-2)\/sqrt(4))\/((-2*sqrt(108))\/sqrt(9) + sqrt(12) + (sqrt(72)*-1)\/sqrt(6)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -25. Let u = 73 + -73.37. Let z = u + 0.07. Put -5, c, z in decreasing order.\nAnswer: z, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1452 - 1450. Solve -127*y + 129*y + q = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/15)\/((-2)\/138). List the prime factors of t\/(-1) - (-4 - -7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*n**2*x + 145601*n**2 - 29*n*x + x wrt x.\nAnswer: -22*n**2 - 29*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096097510 to the power of 1\/2, to the nearest integer?\nAnswer: 33107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g - 12. Does 12 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 276 and 1103\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.354076 rounded to 3 dps?\nAnswer: -0.354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 268099227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -4, 0.49, -6?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*h + 3. Solve 0 = -3*n + h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02158 - 2309.\nAnswer: -2308.97842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 3)*(-123)\/(-6). Let b = -15 - i. Let h = b - 4. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3 - 55. Let h(y) = 184*y**2. What is n(h(z))?\nAnswer: 101568*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -69*j + 12. Let v be g(-6). Let r be v\/10 + 6\/15. Let n = r - 18. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2823275 and -103\/49725.\nAnswer: 25409475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13446 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 901203.6 centuries to years.\nAnswer: 90120360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -205, -211, -219, -229?\n\"Answer: -s**2 - 3*s - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 12*y**2 - 13*y + 2. Let q be d(-13). List the prime factors of (-3)\/q*180\/(-27).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -768 + 768.1. What is the biggest value in 2\/21, g, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s + 1. Let v = -15 + 10. Does 16 divide w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 28*n**2 + 7*n + 34. Let a(l) = -3*l**3 + 42*l**2 - 10*l - 51. Let y(p) = -5*a(p) - 7*f(p). What is the units digit of y(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 3*s**2 - 3*s + 1. Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 450553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)*c**(-2\/13))**6 assuming c is positive.\nAnswer: c**(-162\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.5, -8, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.639181 kilograms to micrograms.\nAnswer: 3639181000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 3*x**2 - x + 3. Suppose 0 = 3*y - 15, 4*y = -2*m + 23 + 1. Suppose -5*w + 0*w + 5*h = 40, 2*w = -m*h. Calculate q(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-6) - 3\/(-18). Suppose -w - 4 = 0, 3*x + v*x = 3*w + 18. Suppose 4*c - 43 = 4*f - 7, f - 16 = -4*c. Solve x*z - c*z - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctjc when four letters picked without replacement from {t: 9, j: 5, c: 2}.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 0, 5, -500, -2 in descending order.\nAnswer: 7, 5, 0, -1, -2, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154.2531 months to years.\nAnswer: 12.854425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 620.0872 millennia?\nAnswer: 7441046.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-9)\/(-12))\/((-1281)\/(-56)).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16618, 14308, 10456, 5062, -1874?\nAnswer: -10352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 42720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 18*z**2 + z - 10. Let w be l(18). Let h be (0 - 2)*(-100)\/w. Let k be (60\/h)\/(4\/10). Solve k = -4*f - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973 - 248 - 237 + 2*p - 237 - 240.\nAnswer: 2*p + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 8:33 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)\/(6\/12). Solve 0 - d = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4592\/5, 37, 1, 3\/5 in ascending order.\nAnswer: -4592\/5, 3\/5, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1602865 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-16))\/r**18*r*r**(-2)*r\/(r*(r\/r**12)\/r))**(-3) assuming r is positive.\nAnswer: r**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 921807.2ml in litres?\nAnswer: 921.8072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57002527 and -0.5.\nAnswer: 28501263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 242, 362, 482?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232 + -229. Solve w*z - 2 = -4*r, -4*z + r = -2*r - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-34 + 6\/(-30)*-5). Suppose -z = -o - 8. What is the remainder when 109 is divided by o?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(425) + -1)*2 + -2)**2 - (4 + (sqrt(425) - (-3 + (sqrt(425) + 1 + sqrt(425) - sqrt(425)) - sqrt(425)) - (sqrt(425)*1 + 1))**2)) + 1.\nAnswer: -40*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -2\/7, 0.7, 2.7, 129, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16818812, 33637619, 50456426, 67275233, 84094040?\n\"Answer: 16818807*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/4*(-6)\/3. Let h(l) = 75*l + 33. Let n be h(r). Suppose -3*q + n = 3*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and 53\/3440.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from zeyzbjy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7245970573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 1712094*h + 11984805.\nAnswer: -3*(h - 570705)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/66 and -29\/2791526.\nAnswer: 92120358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 19. Factor -2*c**3 - c**5 + 5*c**5 + m*c**4 + 4*c**5.\nAnswer: 2*c**3*(c + 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*h - 232*h - 406*h + 639*h + 2567*h.\nAnswer: 3423*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1026 and 9918?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-8)*(-2)\/(-3). Let d = -121\/2 + 62. What is the smallest value in o, d, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 160\/10*2\/4. Let i(b) = b**3 - 8*b**2 + 2. Give i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*w + 3, 2*x - 905*w + 1 = -908*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3498*r**4 - r + 2*r**2 + r - 3499*r**4 + 18 - 17 - 7*r**3 to the form k*r**4 + h*r + p + b*r**3 + n*r**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 77.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104144334 (base 7) to base 12.\nAnswer: -2120760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine halves of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*u = 22, -u = -2*u - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:21 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4595\/102928)\/((-15)\/(-63))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 3, v: 3, r: 1, i: 1, q: 1}. What is prob of picking 1 z, 1 v, and 1 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32169 or 1190239\/37?\nAnswer: 32169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 2*n + 1. Let c = -11 + 13. Does 5 divide p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38795 is divided by 3849?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 6*m + 12. Let u = -22 - -17. What is the units digit of y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x - 27. Let l(f) = f**3 - 7*f**2 + 13*f - 7. Calculate the remainder when s(16) is divided by l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 105 = 259. Solve -23*f = k*f + 74 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12575, -12622, -12701, -12812, -12955, -13130, -13337?\nAnswer: -13576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -40. Let o be (-4)\/r*(-6)\/8. Sort 2\/11, o, -0.3.\nAnswer: -0.3, 2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 75325594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 - 5)*(1 - r - 1) + 31 - 31 + 60*r.\nAnswer: 76*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 83182971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = -1054*x + 24*x + 13637 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -30. Suppose 2*o = 3*o + 16. Let v = o - d. Calculate the highest common divisor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -61, -84, -111, -148, -201?\n\"Answer: -y**3 + 7*y**2 - 39*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -68 - 12*w - 7*w**2 + 10*w**2 - w - 36*w**3 - 7*w - w**2. What is the hundreds digit of p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - ((-24248816)\/(-4) + 1). Let h = -11042210 - w. What is h rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2105 and 1240015.\nAnswer: 522046315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3\/8 + 864645*r**2\/4 + 3458567*r\/2 + 2593923 = 0.\nAnswer: -1729282, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.3 - -6. Let l = 362 + -209. Let r = -156 + l. Which is the closest to -5? (a) r (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325 + 338. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 46 = -12*h. Suppose i = q - 14 + 18, -4 = i - h*q. What is the remainder when 268 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/3*(-2)\/(-3). Let f = 11 - v. Let j(r) = 7*r + f*r - 16*r. Let b(g) = 3*g**2. What is j(b(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1001011110101110010010 (base 2) to base 14\nAnswer: 48993c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 3*i**2 + 5*i + 68.\nAnswer: 3*i**2 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10733 is divided by 79?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -658895 (base 10) to base 2.\nAnswer: -10100000110111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 + -132.48. Let d = b + 0.48. Let p = 1\/17 + -20\/51. What is the second smallest value in p, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 1188?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2086 and 2384.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 177247 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6711, -5 in decreasing order.\nAnswer: 6711, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + -31. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwxx when four letters picked without replacement from {z: 1, x: 3, w: 2, y: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 66, 49, 26, -3, -38?\n\"Answer: -3*d**2 - 2*d + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/14)\/(d**(6\/17)\/d)*d*d**(2\/29)*d*d*d\/d**(-25))**(-15) assuming d is positive.\nAnswer: d**(-3054315\/6902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6477 times 5?\nAnswer: -32385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*q + 55640 = 0, -2*m + m = 4*q - 13900. Suppose -4*b - m = 14832. Find the common denominator of -29\/18 and b\/(-4950) + (-2)\/15.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45627851 is divided by 1535?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 4*a**2 - 379*a**3 - 1 + 377*a**3 - 5 in the form h*a**2 + y*a**3 + q + j*a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (4 + sqrt(99) + 1 - (sqrt(99) - (-3 + sqrt(99))*-4)))**2.\nAnswer: -1920*sqrt(11) + 7936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 + 3*v**5 - 10*v**2 + 39*v + v**2 - 7*v**2 wrt v?\nAnswer: 20*v**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and (-94 - -98)\/(8\/686).\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -844 by -46.\nAnswer: 422\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let p(i) = i**3 + 7*i**2 + 9*i. Let v be p(-5). Solve 5*n + r = -v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/(10\/45)*4\/102.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from ttbtztzzzt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 2*s + 0 - 1\/4*s**4 + 0*s**3 + 0*s**2. Let k(y) = -36*y. What is k(i(f))?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v + 32. Let i be r(-3). Suppose i*k + 7*k - 162 = 0. What is the highest common divisor of 36 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - (54 + -64 - (-1 - 5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 1\/6, -8, -2\/145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147*s - 78*s - 40*s**2 - 68*s + (-3*s + 4*s + s)*(0 - s + 0).\nAnswer: -42*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-125374)\/(-4) + 4\/(-8). Let c be l\/(-20) - 2*1. Let n = c + 1570. Find the common denominator of -73\/4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4. Let u(w) = w**3 - 11*w**2 - 61*w + 26. Let j be u(15). Let v(i) = i + 20. What is j*o(k) - 2*v(k)?\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-11 + -1 - (8 - 6))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(((n**5*n)\/n)\/n)*((n**4*n)\/n)\/n*n*n*n*n\/(n\/(n\/(n\/(n\/(n*n**4*n))*n)*n))*n**7 assuming n is positive.\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2600734.\nAnswer: -780220.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m - m + 2*m)*(-3 - m + 3) + 1471*m - 1471*m + 1722*m**2)*(m**2 - 4*m**2 + 5*m**2)*(m - 3 + 3).\nAnswer: 3446*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 22*(-1)\/(-3 - -2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49316 + 71370. List the prime factors of b.\nAnswer: 2, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 5514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -63 (b) 0 (c) 2\/13 (d) -6 (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.388 and -334?\nAnswer: 129.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1265718004*c**3*i - 7*c**3 - c**2 - 98*c - 723 wrt i?\nAnswer: -1265718004*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120, -257, -394?\n\"Answer: -137*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 47392*s - 2 = -47393*s, -2*f = s + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:10 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -2 (c) -0.7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946772220.\nAnswer: 2, 3, 5, 71, 222247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-171))\/((-4)\/(-6)). Suppose 75*p = 62*p + 143. Let v = -12 + p. What is the biggest value in v, -5, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6599934 - -0.66. Round f to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r = 43*r + 78. Let w be 3 + 868399926\/26 + (-6)\/r. Round w to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 16. Suppose -p*a + 20 = -14. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 29 = -23*y. Solve y*r - 8*j = -9*j - 11, 0 = -3*r + 3*j - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -23*q + 159. Let o be d(7). Sort 2, o, 4, 7 in decreasing order.\nAnswer: 7, 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19400\/89709 + -1\/1759. Let j = -15025\/78 + 10557\/52. Let d = -14\/39 - j. Calculate the common denominator of d and x.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -2061364?\nAnswer: 5\/2061364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 34*s + 2205. Let n be q(-65). Let w = 10.2 + -10. Let y = w - 0.19. What is the third smallest value in -0.4, n, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + 5*n - 6*n - 19*n - n + 0*n + (3 - 3 + 1)*(-2*n + 2*n - 2*n) to the form t + f*n and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2092777.925 - -251.\nAnswer: -2092526.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311210933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1\/6*u**6 + 3 + 0*u**4 + 0*u**2 + 0*u**5 - u**3 + 0*u. What is the third derivative of z(b) wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 >= -189939\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1004\/9927?\nAnswer: -1004\/9927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/5, 20, -1\/6, 5, 0 in ascending order.\nAnswer: -8\/5, -1\/6, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/12 - c**2 + 2*c. Let p be x(2). Let i = 0 + 3. Solve -z = -i*z + p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, e: 5, g: 5, c: 9}. What is prob of sequence gegc?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/126756 and -9\/13929076?\nAnswer: 125361684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2576.82 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-5) + 195\/45. Determine r so that y*r - 2\/3*r**2 + 0 - 2\/3*r**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 252\/(-45))*((6 - -12) + -73)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 49*m - 4 - 23*m + 31*m.\nAnswer: 57*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -114*x - 347. Let h be m(-3). Let g(q) = 7*q**3 - 14*q**2 + 6*q - 6. Let w(f) = -6*f**3 + 14*f**2 - 5*f + 5. Determine h*g(a) - 6*w(a).\nAnswer: a**3 - 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from bbbhhbjjbhbjb?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*t = -0*t - 10, a = t + 6. Let b(y) = 4*y + 4 + 2*y - a*y. Let q = 5 + 0. Determine b(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4515 + 11455 - 28487 = 440*u + 28403 for u.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713 is divided by 460.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -785.33 + 782. Let o = f + 3.3299827. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 12. Let j be x\/(-16) + 2\/8. Let q be 11 - (2 - j - 3). Calculate the greatest common factor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.783521 days?\nAnswer: 845296214400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 957755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093613043 to the power of 1\/2, to the nearest integer?\nAnswer: 33070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0766 + -0.0234. Let a = -20 - -13.4. Let k = -3.6 - a. What is the second biggest value in g, 2\/3, k, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 9 - (6 + 2 - 16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) -2 (c) 3 (d) 24 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 12:02 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 19*x**2 + 4*x + 7. Suppose -8*b + 28 = -124. Is a(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 160\/14 - 220\/(-385). Let t = 115\/428 - 2\/107. Do n and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 22*a + 253. Give p(-13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kkkkuuk.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.617972412 rounded to five decimal places?\nAnswer: 0.61797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29554 is divided by 5425?\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 31. Suppose -n*s = -15*s + 8. Let f(y) = y**2 - 6*y + 2*y**2 - 2 - s*y**2. Calculate f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -68407*c + 3. Let v(h) = 2*h - 24. What is s(v(x))?\nAnswer: -136814*x + 1641771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 - (-26 + 24 - 26).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 56*z + 2. Let b(s) = -6*s**2 - 308*s + 11. Let c(h) = -4*b(h) + 22*r(h). Let t(o) = -19 - 6*o + 3*o + o. Calculate t(c(g)).\nAnswer: -4*g**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 1 + c - 1 - 3. Let g be n(2). Sort 3, g, -4 in descending order.\nAnswer: g, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1\/3*w**3 - 4*w**2 - 6*w + 7. Let b be m(8). Let f(q) = -q - 2. Calculate f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 6. Is 8 a factor of 4 + -4 + 0 + w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 5320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37953420247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - -101010101110?\nAnswer: 101011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 127234*b**2 + 125*b**5 + 6966*b**4 + 1444*b**4 - 260*b**4 + 137660*b**3 + 8192 + 61952*b + 30214*b**2.\nAnswer: (b + 32)**2*(5*b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -590004, -1179917, -1769830, -2359743?\n\"Answer: -589913*u - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Suppose n*k = 5*k. Suppose -8*i + 10 = -3*i. Solve k = -0*b - b - i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 v when four letters picked without replacement from {t: 3, v: 12}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248463 or 248479?\nAnswer: 248463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61528901 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let o be c(-4). Suppose 4*i = -o*l + 32, -4*i - 19 = -2*l - 5*i. Suppose 2*y = l*y - 225. Solve 0 = -3*s - 2*s + y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*s**2 - 6*s**2 - 4 + 1 + 4*s**2 wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*o - 407, -4*g - 3*o + 403 = -1168. Let j = g - 126. What are the prime factors of j?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 925, 926, 927?\n\"Answer: c + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40838\/39 or 1047?\nAnswer: 40838\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365045*z + 1365234*z - 4536 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -25*f + 24*f + 2634, -2*u - 2655 = -f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 7*m - 5. Let p = -15 + 23. Let f = p - 12. Calculate g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.420971t in micrograms?\nAnswer: 420971000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60521 or 60520?\nAnswer: 60520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2242096.\nAnswer: 2, 17, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1 - 23*y - 19*y + 17208*y**2 + 44*y. Let t be f(-3). Suppose -135135 = -p + t. What is p rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 not equal to 274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*k - 4*f + 30 = 279*k, 5*k - f = -15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooowoooooooooooooo. What is prob of picking 2 o?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 263 - 263 + 7397*k**2 - 977*k**2 as u*k + y*k**2 + b and give y.\nAnswer: 6420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -948 * 6.89.\nAnswer: -6531.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -2, -6 in increasing order.\nAnswer: -65, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*d = 24, -2*g = 2*d - 8 + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o + 2. Let j be q(-1). Suppose -j*l = -20*l - 10. What is the least common multiple of 16 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 0, 4*s + 2559 = 5*i + s. Is 518 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 3*h**2 + 6*h - 10. Let s be f(4). Put 11, 4, s in decreasing order.\nAnswer: 11, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3478952 by 869738.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592296087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/7 - 2*t\/7 - 1\/7 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.7071134 minus -166619?\nAnswer: 166640.7071134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*v + 37. Let y be 4\/v*18\/4. Suppose -y*j - 2 = -j. Is -1 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-168)*180\/25\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*m + 0*m = 29890996, 3*o + 2*m - 22418243 = 0. Suppose 0 = 4*u - o - 3207255. Round u to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-57)*(18\/(-28))\/3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - -4?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 1 - (7 - 5). Let z(n) = n**3 + 5*n**2 + 5*n + 9. Let u be z(k). Suppose u*x = -2*b + 267, -x - b - 24 + 78 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3648510 rounded to the nearest 10000?\nAnswer: -3650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b38 (base 16) in base 2?\nAnswer: 100101100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184*q - 332?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - m + 2*m = 0, 3*o + 4*m = -3. Suppose 4 + 5 = o*i - v, 4*i + 2*v = 2. Calculate the remainder when (-2 + 0)\/(i + (-44)\/20) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -2)*(-5)\/(-3). Let c(l) = -l - 7. Let j be c(o). Let z be ((-24)\/(-9))\/(j\/(-3)). Solve -z = -4*x - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bgbbbgg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659507120 to the nearest integer?\nAnswer: 25681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from {i: 1, r: 2, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -288, -433, -578?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -17*o + 2. Let c be i(-2). Let m = c + 3. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 162 = 3*s. Suppose p = 4*p - s. List the prime factors of 28\/5*45\/p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 10*c + 2. Determine p(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 589\/38 - (-4)\/8. Calculate the remainder when (-7)\/(u - 2)*-182 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154269 is divided by 51224?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10.9 times -101.1\nAnswer: -1101.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -0.152 (c) -2\/9 (d) 3 (e) -0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/900 and ((-23837)\/29550)\/((-72)\/(-15) - 0).\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -11. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {t: 1, r: 6, z: 1, y: 9}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 300 = -5*t, 0*t + 75 = w - 2*t. Suppose d = -4*d - w. Is (10\/5)\/((-1)\/d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204c15 (base 14) to base 9.\nAnswer: 2038734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6 (b) 2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/30 and -71\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((656\/(-7))\/4)\/((-14)\/147) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(2)) + ((sqrt(40)\/sqrt(2) - sqrt(20)) + sqrt(20) - sqrt(20))\/sqrt(10))**2.\nAnswer: 18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1864 - -5590\/3. Which is the fourth biggest value? (a) h (b) 2\/53 (c) -4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/((-1*sqrt(54))\/sqrt(9)) + -4.\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:26 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 1. Let a(b) = -13*b - 5. Let s be (0 + -1 + 37)\/(124 - 122). Let i(h) = h - 2. Let l be i(6). Calculate l*a(d) + s*g(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 3*a - 4*a + (-1 - 1 - 9)*(-5*a + 2*a + 2*a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 3, b: 5, w: 1}. Give prob of sequence ebii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.91 + 0.91. Which is the closest to r? (a) 0.3 (b) 2\/17 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let x be o(3). Let g = -32493\/13 - -2501. Is x less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*s + 60. What is the lowest common multiple of s and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1797500 and 1797500?\nAnswer: 1797500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2399 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (-4 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1104)\/1012)\/((-21)\/((-1386)\/372)).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1659.6 + 1555.955. What is t rounded to one decimal place?\nAnswer: -103.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80063987104.2 + 80062215375.100164. Let h = 1771733 + f. Let x = h + -3.9. Round x to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 12*q - 3. Let s(o) = 0*o**2 + 315 + o**2 - 311 + 11*o. Let p(u) = -4*l(u) - 3*s(u). Factor p(x).\nAnswer: x*(x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((720\/(-32))\/(-15))\/((-4)\/48)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 8:14 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2188068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/876 and -49\/146.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 20\/(-3) - (1 + 3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 72*s + 32. Let i(o) = 11*o + 5. Give -32*i(d) + 5*y(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {t: 4, p: 1, g: 1, o: 5, d: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 8*i + 31. Is -16 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -224*d - 4*d**2 + 5*d**2 - 3 + 227*d. What is k(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81659685 and 99.\nAnswer: 2694769605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528) + sqrt(528) + sqrt(528)*-2)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:55 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36866 - 42325. Round m to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13936 by -1742.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:27 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 5:48 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0341178 + -6?\nAnswer: -4.9658822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2855*d - 65673. Determine n(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8261372*l**3 - 193*l**2 + 31*l + 24 wrt l.\nAnswer: -49568232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 12. Let b be 5 + -5 - (-298 - v). What is the greatest common divisor of 33 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 12:56 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -357, -681, -1037, -1377, -1653, -1817?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*g + 31 = 134, 4*g - 175 = -5*w. Let q = w - 81\/2. Is -3 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:58 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 3 + 2)*(-5 + 1 + 3) + 2 - 5 + 4)*(-9*t - 7*t + 0*t)*(-6*t**3 - 8*t**3 - 7*t**3) in the form d*t**2 + v*t**4 + m*t**3 + w*t + h and give v.\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, e: 1, m: 1, q: 1}. What is prob of sequence ez?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 640.93, 7, -0.1, 8\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4026.9 + -3844. Let f = i - 183. Let o = -2 - 0. Which is the closest to 1? (a) o (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 359.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.9 - 20. Let i = q + 3.1. Let b = -2.4 + i. Put 5, 0.3, b in decreasing order.\nAnswer: 5, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Let l(b) = b**3 - 3*b**2 + 3*b - 4. Let k be l(p). Solve -m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 87.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*y = 3*y + 11, 5*j = -2*y + 8. Let x(o) = 8*o**j - 5*o**2 + o**2. Let p(l) = -l. What is p(x(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 1. What are the prime factors of b(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8057*y**2 - 16111*y**2 - 83 - 2*y**3 + 8053*y**2 + 5*y**2 - 5*y**2 - 3*y**3 + (1 - 1 + y**2)*(-2*y + 5 - 5).\nAnswer: -7*y**3 - y**2 - 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132683503 greater than or equal to 132683504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Let x = f - 3.02. Let b = -0.07 - x. Round b to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 11658 - 11798 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 6, -2*r = -4*c - 457 + 477 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(5*20\/(-1100)) + (-326)\/30. Let n be -2*6\/4 - -2. What is the nearest to n in g, -3, -4.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**3 + 4*o**3 + 8*o - 5*o**2 + 0*o**3 + 9 - o**3. What is j(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3359 + 29021. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (-3*sqrt(2420) + sqrt(20)))\/(4*sqrt(60)\/sqrt(6))*2.\nAnswer: 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 2)*(4*c - 5*c + 3*c) + 0*c + c + 0*c + 0*c + 4*c - 2*c + (0*c + 3*c - c)*(-8 - 3 - 7))*(-2*c**3 + 4*c**3 + 2*c**3).\nAnswer: -140*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1348*c - 1347*c - r, -2*r + 12 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 8*u + 89. Let v be (-2 + 7)\/(50\/(-240)*-4). Let a be b(v). Solve -5*g + 2*t = -15, 0*g - a*g = 4*t + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4.447 (b) -0.2 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 27. Let z be b(11). Suppose z*k = -3*k + 2*k. Let i(a) = a**2 + 3. Let g be i(k). What is the highest common divisor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 2*b + 24. Solve z = 5*z + 3*h + 6, 0 = -b*z + 5*h - 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137928189 minus -39?\nAnswer: -137928150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 28 = 26*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-274)\/1192 + (-169)\/(-52). Which is greater: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 11*i**2 - 15*i + 1 - 2*i**2 - 4*i**2 to the form v + p*i + g*i**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792616.9nm to kilometers.\nAnswer: 0.0000007926169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j = 33*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 116 = -z. Let v = z - 29. Solve -5 = -q - v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 48. Let f = l - 3. Let u = -20 - f. Solve u = -2*o - 0*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*v**2 + 66*v**2 + 9*v - 80*v**3.\nAnswer: -80*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4238411 is divided by 211914.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/93314 and -41\/754.\nAnswer: 2706106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026361 is divided by 1025266.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 393534 bigger than 393374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*z + 17 = 0, -2*z + 16 = g + 3*g. Let w(a) = -a**2 + 3*a - 5. Let t be w(3). Put g, 1, t in ascending order.\nAnswer: t, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-72)\/30)*4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -487*y**3 - 21*y**2 + 31*y + 10. Let u = 23 + -9. Let x be a(u). What is x rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 13*k. Let x be ((-6)\/(-3))\/((-3)\/(-9)). Suppose -6*l = 2 - 80. Let d(q) = 1 + 6*q - 1 + q**2. Determine l*d(y) + x*v(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16135\/8 + -2028. Find the common denominator of p and 7\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 1, d: 2, e: 2, a: 2, o: 3}. What is prob of sequence ao?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let t = -269\/6 - -45. Let q(n) be the second derivative of 0*n**3 + 0 + n - t*n**4 + 0*n**2. What is q(k(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/11 - 1806*r**2\/11 + 543606*r\/11 - 54541802\/11.\nAnswer: 2*(r - 301)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*a = -53, b - 3*a = -3*b + 69. Find the first derivative of -70 - 5 - c**2 - 2*c**2 - b*c - 19 wrt c.\nAnswer: -6*c - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -29.96. Is h less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 324.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 10*d**2 + 23*d + 1. Let r(f) = 2*f**3 + 10*f**2 - 27*f. Let v(n) = -2*r(n) - 3*u(n). Give v(9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.4 + 15. What is y rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01640428 to four dps.\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 7. Let h be s(6). Let p be (-79)\/260 + 56\/364. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, o: 9, r: 6}. Give prob of sequence rqo.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -35 (b) -3.6 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20 + -3 + 0 + -3. Suppose -3*k + w = 5. Suppose 4*u - 20 = 0, -3*u + 24 = k*x + 3. What is the smallest common multiple of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48738, -47772, -46806?\nAnswer: -45840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -131. Let v(x) = 3*x**2 - 53*x + 10. Let q be v(17). Let h = q - k. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-629100)\/87375)\/((-18)\/(-230)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.022913664 to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -287, -309, -333, -359, -387, -417, -449?\n\"Answer: -h**2 - 19*h - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 334602091 and 2438.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 183*o + 780.\nAnswer: -3*(o - 4)*(o + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41304031 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 12*p**2 - 14*p - 7. Let q be 1 + 0 + 0 + 26. Let b = q - 38. What is the tens digit of f(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1537\/156 + 45\/26. Calculate the common denominator of z and -127\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*b**2 + 829*a**2*b + 2*a**2 - 506*a*b**2 - 3*a*b - 10 wrt a?\nAnswer: 4*b**2 + 1658*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1003423220 (base 5) to base 2\nAnswer: 111101011101111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - j = -2, 3*j = -4*z - 62 + 33 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/17 and 21\/57223?\nAnswer: 972791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:30 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/9*-28*108\/1008?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 5. Calculate o(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -476261*x + 476215*x + 2576 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = a + 3*q - 0, 21 = 3*a - 4*q. Which is bigger: a or -18\/853?\nAnswer: -18\/853","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - y**3 - 1 + 3*y**3 + 3*y**3 - 18*y**3 + (3*y - 2*y - 2*y)*(y**2 - 1 + 1) + (-13*y**2 - 18*y**2 + 5*y**2)*(y + 0 + 0).\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t - 4*t**2 - 6*t**2 + 10*t + 8*t**2. Let j(a) be the third derivative of a**5\/30 + 545*a**2. Determine k(j(i)).\nAnswer: -8*i**4 + 46*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 14\/(-16)) + (-2517441)\/(-5064) is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**25)**13\/((g*g**(-9)\/g)\/g*g*g**(-1\/2)) assuming g is positive.\nAnswer: g**(669\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c - 3 - c**2 + 5 + 2 - 5.\nAnswer: -(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5577\/7 + -797. Which is the closest to s? (a) -2 (b) 8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 18. Let z be (3 - 1) + 22\/k. Let d be 6 + 35\/28 + -7. What is the fourth smallest value in 0.4, z, d, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2364 and 71\/66?\nAnswer: 26004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:38 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -8757.\nAnswer: -1\/8757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4 + 4*q**3*t**2 - 2*q**3 - q**2*t - q*t**2 wrt q?\nAnswer: 48*q + 24*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 241\/4. Which is the smallest value? (a) -0.4 (b) q (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 106. Suppose -6*t + i*t - 22 = 0. Calculate the greatest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 + ((-64)\/12 + 4)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5, -17 = -5*g + 5*h + 8. Let p(x) = 7 - 3 + x**2 - g. Let l(c) be the third derivative of -c**4\/24 - c**2. What is l(p(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 8:34 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 13*z)*(14 - 14 - 2*z)*(0 + 0 + 1)*(-3*z**2 + 0*z**2 + 6*z**2).\nAnswer: -84*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120222640 - 0?\nAnswer: -120222640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - i = -43 + 63, x = 4*i - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077990261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 39. Let i = v - -6.0635. Let l = -0.06349657 + i. What is l rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -460057 + 4?\nAnswer: -460053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -75318427 bigger than -75318425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 539410 and -164226498.\nAnswer: -163687088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -963*g + 1 - 1 - 910*g + 1910*g.\nAnswer: 37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**3 + 66*y**2 - 17*y - 13. What is m(13)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 16*j**2 - 5*j - 17. Let t be r(13). Let g = t + 414. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143\/10 - -27\/2. Let s be 0 + 2 - (11 + 1). Let y = 9 + s. Which is the nearest to y? (a) o (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 20*j**2 + 23*j - 39. Let z be b(21). Solve z*y = 4*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 4*c**2 - 4*c - 7. Suppose 2*t = 3*l - 4, -11*t + 6*t - 33 = 4*l. Determine r(t).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*q - 1093*q + 637*q.\nAnswer: 121*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*b - 28, 3*g + 9 = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.976 + 24. Let f = o - 0.524. Let r = -2.051 + 0.051. What is the third biggest value in 0.1, -4, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqjkjqq. What is prob of sequence kq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114 - (-6 - -4)) + -7 + 45 + -36.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 2 + 0 - 4*g)*(g**3 + 0*g**3 - 4*g**3) as l*g**3 + a*g**2 + h*g**4 + z*g + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1465, 5881, 13243, 23551, 36805, 53005?\n\"Answer: 1473*m**2 - 3*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 8 = 2*l + 2, 938*b + 5*l = -937*b + 1872*b - 72 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287423 and 20426?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5102024 (base 6) to base 11\nAnswer: 15549a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {a: 4, s: 1, z: 5, i: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 12. Let t be b(-6). What is the tens digit of (-6)\/((t\/36)\/((-14)\/(-9)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-9)*-3)\/((-2)\/15). Which is the nearest to -0.1? (a) -0.1 (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 66 and 196\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/((-56)\/(-140)). What is the common denominator of p + 0 + -7*(-1918)\/22932 and 119\/24?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 597950.\nAnswer: 2391800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 12*w. Let o(v) be the third derivative of -v**5\/20 - 158*v**2. What is u(o(c))?\nAnswer: -9*c**4 - 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26616627 is divided by 1018.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + -26532?\nAnswer: -264bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -306, -464, -622, -780?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmkmmmmm. Give prob of sequence mmkk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4010 + -3821. Calculate the highest common divisor of i and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 482 and 15409.5?\nAnswer: 7427379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 15*h**2 + 16*h + 16. Let w be r(-11). Suppose -3*s + w = -48. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a + 16. Calculate n(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(162) - (sqrt(162) + (2*(sqrt(162) - sqrt(162)*-1))**2)).\nAnswer: -2596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2375744 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 13*x**2 + 570*x - 15300.\nAnswer: -(x - 30)**2*(x + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4\/((b*(b**4*b)\/b*b*b)\/b)*(b**(-1\/3)\/b)**(1\/7) assuming b is positive.\nAnswer: b**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/34 - -7\/918. Is s at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7 + 1. What is the remainder when 13 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -25663.707.\nAnswer: -25665.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -208*h + 1191 + 1588 - 75 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0*b**4 + 5*b**4 - 4*b**4)*(-27 - 1 - 42 + 1 + 0 + 1 - 1 + 0 + 0 + (-4 + 1 + 5)*(3 + 2 - 3))*(2 - 5 + 2).\nAnswer: 130*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -602?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -2 (c) 6\/5 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/8 (b) -89 (c) 0.1 (d) 10\/9 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -204. Suppose -q = -2*j - f, 0*f = -5*j - f + 163. Let z = -14 - -36. Calculate the highest common factor of j and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2643073181.\nAnswer: 7, 17, 3172957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*1\/(-3)*1578\/(-1315)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528\/(-52) + 10 + 185\/(-65)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -721 (b) 3.8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/33*(-234)\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(117\/130)\/((-144)\/(-40))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -99.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8306 (base 9) to base 7\nAnswer: 23505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -0.3 (b) 13 (c) -3\/4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -32. Suppose p = -p + 2*m + 4, -z*m + 16 = 0. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/21)\/(17\/((-15708)\/(-99)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -596862 and -1662.876.\nAnswer: -598524.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1506 = 157*k + 1614 + 6486 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 8. Let s be j(0). Let w = s + 15. Let f(c) = 885715*c - 5. Let k be f(w). What is k rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -155091.001 and 12?\nAnswer: 155103.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/10)\/(1\/5 - 0). What is the third derivative of 18*y**3 - 11*y**2 - 3*y**3 + t*y**3 + 4*y**3 wrt y?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddsddssssd. Give prob of sequence ds.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1011010100000 (base 2) to base 13\nAnswer: -2837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**3 + 2945*i**2 + 6810*i + 3880.\nAnswer: 5*(i + 1)*(i + 194)*(3*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 64 - 27*g**4 + 8*g**4 - 68 + 4*g**2 - 5*g**3 + 4*g**3 + 134 in the form j*g + i*g**3 + n*g**2 + s + t*g**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -22*s - 19. Let x be t(-1). Suppose 4*p + 95 = 5*y - 203, -y = -x*p - 64. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006441839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 20*x - 88. What is the nearest to -1 in -2, 1\/3, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/5)*d*d\/((d\/d**3)\/d))**(-2\/95) assuming d is positive.\nAnswer: d**(-34\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 12*u**2 + 29*u - 77. Let o be l(10). Solve -7 = -2*j - 5*x, -o*x - 2 = 2*j - 17*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 200ba + -8e?\nAnswer: 2002c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -49*p**6\/12 - 7*p**5 + 3*p**4\/8 + 10*p**3\/3 - p**2 - 61. Suppose r(q) = 0. What is q?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71\/54 + 517\/27. What is the common denominator of j and 22\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y + 33. Let t = 14 + y. Let a be t\/(-10) - (-7)\/5. Solve 0 = -5*c - 4 - a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b**2 - b - 1. Let n be p(-1). Suppose 4*g - n = 46. What is the smallest common multiple of g and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(70)\/(sqrt(40)\/sqrt(4)) - (sqrt(84)\/(sqrt(3)*2))\/sqrt(4))*2.\nAnswer: sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + i**4 - 1\/2*i**3 + 0 - i**2 + 1\/2*i**5.\nAnswer: i**2*(i - 1)*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57103, 57120, 57179, 57286, 57447?\nAnswer: 57668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(288) + sqrt(288)*4)*-5)**2 - -6*(2*sqrt(288))**2*-6.\nAnswer: -1200*sqrt(2) + 138532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.076. Let t = 18.985 + -19. Let x = h - t. Round x to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1237*m - 1239*m = 8. Let n(z) = -3*z - 3. Let q be n(-2). Let p = 3 + 2. Put m, q, p in descending order.\nAnswer: p, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -23*o + 48. Let a(i) = i. What is a(g(r))?\nAnswer: -23*r + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 299808 and 599616.\nAnswer: 599616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11246423?\nAnswer: 19, 41, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + d)*(-d**3 - d**3 + d**3) - d + d**2 - d**4 + d - 8*d + 8*d + 5*d**4 to the form f + b*d**3 + s*d**4 + k*d + a*d**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 436050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*j**3*w*x - 95*j**3*w + 6*j**3*x + 8*j**3 + 4*j**2*w*x + 8*j**2*x + j*w + 206*w*x - w wrt j.\nAnswer: 96*w*x - 570*w + 36*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -f435 (base 16) in base 8?\nAnswer: -172065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 5*k**2 + 2. Let b be y(-5). Suppose 4*v + b = 2*v. What is the units digit of v\/(-5) - 42\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2 and 47\/1180.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:07 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563496483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/(-105) - (-10)\/35) + 1. Let c = 17 - 16. Do c and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 - -38. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 27.8. Let g = -3.1 - o. Let b = 3.6 - 3.7. Put 0.3, b, g in decreasing order.\nAnswer: 0.3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 93161.8 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41335 and 8460?\nAnswer: 69938820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 2*b - b)*(-2 + 2 + b**3)*(-7 + 0 - 6) to t*b + c*b**4 + p*b**2 + w + f*b**3 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (150\/40 + -4)*-8. Solve -2*l + 2 = -y, h*y - 19 = 5*l - 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 97*y + 34. Let a(s) = -49*s - 17. Let p(n) = 9*a(n) + 4*q(n). Suppose 4*u - 44 = 15*u. List the prime factors of p(u).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 100 + 87?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2606046, 2606035, 2606022, 2606007, 2605990, 2605971?\n\"Answer: -t**2 - 8*t + 2606055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:33 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 6*y - 10*y)*(-2 + 2 + 2*y + (4 - 1 - 2)*(-8*y - y - 2*y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000100010110 - 1?\nAnswer: 111000100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 389*r**2 - 85*r - 313. What are the prime factors of j(11)?\nAnswer: 45821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**3 - 99*z**2 + 3*z + 83. Determine p(-33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 374807516 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) + 290\/25. Solve -4*t - 8 = 2*z - 4, -2*t = -4*z + l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2985*x + 2991*x + 168 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.2 * -39042\nAnswer: 242060.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 37*q**2 - 6*q - 2. Let m(p) = p**3 - 19*p**2 - 3*p - 1. Give -2*h(r) + 5*m(r).\nAnswer: r**3 - 21*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774 = -3*o - 37*x, 0 = 2*o - x - 4 + 5 + 27 - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/((90\/20)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -240140, -480273, -720390, -960479, -1200528?\n\"Answer: 2*b**3 - 4*b**2 - 240135*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*o + 192, 5*d + 2*o = -406 - 16. Let p = d - -160. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - -5.06. Which is the closest to 1? (a) 0.3 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.180455 millimeters to centimeters.\nAnswer: 0.4180455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 1049190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-150)\/4)\/(-5). Suppose -2*h - 3*h = -x. Suppose h*v - 2*v = 0. Solve 3*z - 6 = -v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50715262 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1772197 + 3062197. Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*l + 9 = 2*v, 4*l - 17 = -3*v. Suppose -5*h = -v*o - 94, 0*o = 2*h - 2*o - 36. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23316*l**5 + 1864852*l**4 - 5398380*l**3 + 3490300*l**2 + 67776*l - 1232 = 0 for l.\nAnswer: -2\/67, 1\/87, 1, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -729*a**3 + 1566*a**2 - 220*a + 8.\nAnswer: -(a - 2)*(27*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 8*s - 4. Suppose 3*y - 6*p - 47 = -p, 3*y - 39 = -3*p. Calculate the lowest common multiple of l(6) and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 810\/40 - (-2)\/(-8). Suppose 0 = -11*x + 42 - 20 + 11. Solve x*q = -q + n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/492 and -26\/1107.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3005 = 154*b - 755*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197155?\nAnswer: 5, 239431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 25*a - 26*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -50. What is the lowest common multiple of p and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 3*q + q - 5*q**2 + 4*q as k*q**2 + u + f*q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:38 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 31 - 50 = 0. Find the common denominator of (-210)\/(-16) - 1 - p\/(-9) and ((-32)\/(-27))\/(7\/(-21)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -19, -15, -13, -13, -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(2*b**2 - 7*b**2 + 4*b**2) + (3 + 2 - 6)*(0*b + 0*b + b**2) - 6*b**2 - 2*b**2 - 2*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 43232690 and 116.44.\nAnswer: 43232806.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1035523 and 658186.\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1664 + 811 + 765 + 4*i.\nAnswer: 4*i - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66072 - -e8d?\nAnswer: 67010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42384836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/31458 and -23\/461384?\nAnswer: 1384152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4245.\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-1\/11)\/p)\/p*p)\/p**(-3))**(-7\/8)*p\/(p\/((p\/(p*p**2\/p)*p)\/p))*p**(2\/7)*((p**0\/p)\/p)**8 assuming p is positive.\nAnswer: p**(-1483\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01389803676 to six decimal places.\nAnswer: 0.013898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*k + 12. Let h = 1 - 1. What is the remainder when k is divided by (h + 5)*6\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1679 + -1454. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let q(s) = 2*s**3 - s**2 + 2*s + 4. Calculate the remainder when q(f) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2064 and -115\/768.\nAnswer: 33024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, p: 2}. What is prob of sequence wwww?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 2*b**3 + b**3)*(-3*b + 2*b - 7*b)*(-b - b + 0*b).\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 11) in base 16?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 s, and 1 l when four letters picked without replacement from {z: 2, p: 2, s: 3, q: 1, c: 3, l: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 6*l**4 + 2*l**4 + (0*l**3 + 0*l**3 + 2*l**4)*(1 + 1 + 0) + 2 - 2 - l**4 + (92*l + 449*l**3 - 24*l - 69*l)*(6*l + 2*l - 5*l).\nAnswer: 1348*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-7 - (-220)\/30). Let k be (2\/6)\/(2\/18). Let a(f) = w*f - f + 2*f + k*f. Let h(v) = -v. What is a(h(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 7*k**6\/6 + 7*k**2\/2 - 4. Find the second derivative of m(r) wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*h + 24. Suppose -5*p = -h*p - 28. Suppose 16*b = p*b - 43800000. Round b to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1753.951 - -2.951. Let l = z - -1571.6. Round l to the nearest integer.\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -602961224 - -2.1?\nAnswer: -602961221.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l**3 - 257*l - 8*l**3 - 92*l + 296*l**2 - 78*l wrt l.\nAnswer: -6*l + 592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffsfuooofsu. Give prob of sequence offu.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297*h**6 - 4*h**3*j**2 - 3*h**2*j**2 + 116*h**2 - 2*j**2 wrt h.\nAnswer: -35640*h**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.062 - -0.138. Let g = -12.2 + x. Let h = 104\/5 - 20. Which is the fourth smallest value? (a) h (b) 0.4 (c) -2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*k - 35, -3*v = -3*k + 8 - 5. Suppose v*t + 845 = 2673. Is 40 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from iighhhhglhdghh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 931*f + 464*f + 465*f.\nAnswer: -2*f - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (276\/(-184))\/(((-4)\/(-160))\/(3\/(-6))). Factor -50\/3*b**4 - 8\/3*b - 16*b**2 + 0 - l*b**3.\nAnswer: -2*b*(b + 1)*(5*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5805130.\nAnswer: -1\/5805130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 436\/18 - -1 - 4\/18?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.09836 + 0.09836. Let u = 34 + -4. What is the smallest value in u, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 11*m + 4 = 0. Let n(x) = x**3 + x**2 + 3*x - 9. List the prime factors of n(m).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.2 + -4424315336.\nAnswer: -4424315352.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:12 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 959781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4)*-2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 5788 + 5924 = 0. Suppose -4*a + 13 = -w - 0*w, -2*w - 10 = 0. Suppose a*g = n*g - 768. Calculate the lowest common multiple of 22 and g.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -6\/253, 0.5?\nAnswer: -6\/253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*c - 12*c - 5*c + (-c - 3*c + 2*c)*(-3 + 7 - 3).\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -28*c + 5. Is n(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (130\/(-780))\/((-1)\/(3\/(-2))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -552 (base 10) to base 12.\nAnswer: -3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 5*d + 8. Let f(k) = -k**2 + 5*k + 8. Let h(u) = -3*f(u) + 2*p(u). Let v be h(7). Let n(m) = -m**2 + 5*m - 1. Determine n(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-22))**(-9\/5)*d**(2\/45)*d\/d**(-3\/25) assuming d is positive.\nAnswer: d**(-9053\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 879954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16861 and -0.0073665.\nAnswer: -16861.0073665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 59756*t**2 + 1193520*t.\nAnswer: 4*t*(t + 20)*(t + 14919)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 930, -2, -15?\nAnswer: 930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1754 + -1754. Factor c - 2\/7*p**2 - 4\/7*p.\nAnswer: -2*p*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - x + (4 + 0 - 2)*(1 - x - 1) + (-3521 + 3521 + 125*x)*(-5 - 5 + 1).\nAnswer: -1128*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 5*p + 23, r + 21 = 5*p. Let w(x) = -52*x**2 + 1. Let j be w(r). Is (-61857)\/j + (-4)\/(-34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278 divide 360464561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2867109\/3004 + -240\/751. Which is the third biggest value? (a) x (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4\/7 + 372*l**3\/7 - 4*l**2\/7 - 372*l\/7 = 0 for l.\nAnswer: -93, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -43, -6, 57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.423 - -0.023. Which is the second smallest value? (a) y (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2324000 to the nearest ten thousand.\nAnswer: -2320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*t**4 - 8*t**2 + 57366?\nAnswer: 248*t**3 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:42 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40030263 and 35582456?\nAnswer: 320242104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8077 - 0.1923. Let k = -3 - -2.5. Which is the closest to -1\/3? (a) u (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563 or 562?\nAnswer: 562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.16185702, -3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12) - 267\/480) + ((-41976)\/(-440) - 95)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 - 6*s**2 + 411*s\/2 - 630.\nAnswer: -3*(s - 7)*(s - 4)*(s + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2641266 (base 7) in base 13?\nAnswer: -c1794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 537784165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/130713 and 127\/19572.\nAnswer: 3659964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from tytlytftylccccctfttl.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**3 - 141*o**2 - 273*o - 139. Let i(j) = -76*j**3 - 1552*j**2 - 3004*j - 1528. Let w(p) = -3*i(p) + 32*s(p). Factor w(h).\nAnswer: 4*(h + 1)**2*(h + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = q + 4 - 17, q = -4*n - 22. Let a be (-782)\/1326 + q\/(-3). Sort -1\/7, -3, a, -5 in increasing order.\nAnswer: -5, -3, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2840978445 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.725 + -27.43394. What is u rounded to 3 dps?\nAnswer: 0.291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.1 - -35. Let x = u + -10. Let b = x - -2. Sort 4\/5, b, -2 in ascending order.\nAnswer: -2, b, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0*s + 2*s - 2 + 2. Let n(l) = 3*l**2 + l. Let b(r) = -31*r**2 + 3*r. Let j(o) = b(o) - 3*n(o). What is h(j(t))?\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 15*c. Let u be v(4). Suppose 6*f - f = -u. Calculate the remainder when 273\/5 + f\/20 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260124 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 374 = -5*b, 15 - 155 = -2*b + 2*n. Suppose -6*x = -x + 4*m - b, -2*x + 30 = 2*m. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 6\/5 (c) -2\/119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 7 - 8)*(-5*i + 0*i + i) + 2*i + 0*i - 5 + 2 to the form x*i + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*b - 13*b - 2565 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290234 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2220\/779191 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.9054774 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n + 3*n - 2*n. Let p(q) = -5*q**2 - 4. Let t(s) = 4*s**2 + 3. Let b(x) = 3*p(x) + 4*t(x). What is a(b(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -13. Suppose -13 = -3*v + 4*b, -2 - f = -5*v + 3*b. Let z be -1*(v + 0) + 2. Solve t = -z - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v + 14. Let d be h(-13). Let p = d + 87. Find the second derivative of 3*m**4 - m**4 - p*m - 9*m wrt m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 20 = -21*u, -2*u + 17 = 3*p. What is the highest common divisor of 639 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 3*u + 7, 2*f + f - 3*u + 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 2*n**2 + 10. Let v(d) = d**2 + d - 1. Let p(u) = b(u) + 6*v(u). Suppose 2*q + 20 = 32. Suppose m - 14 = -2*y, 5*m - 14 = q. Determine p(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/132*9)\/(6\/(-1))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1058 + -517. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 6*x + 13. Suppose -1487 = -207*a - 1300 + 2090. Let g(h) = h**2 - 3*h - 7. Calculate a*g(r) + 6*u(r).\nAnswer: -7*r**2 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -381\/115 + 17\/5. What is the smallest value in 1, f, 0.4, 4.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 - 9*x - 22. Let y(a) = -a**2 - 3*a - 10. Let b(t) = 2*j(t) - 5*y(t). Give b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11757 - -578?\nAnswer: -1118a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*r - 104*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 7*f**2 + 11*f - 5. Let d(m) = 5*m**3 - 13*m**2 - 20*m + 9. Give 9*c(t) + 5*d(t).\nAnswer: -2*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14499118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {z: 2, g: 7, s: 1, v: 4, a: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52*(-136)\/(-102)*132\/(-88)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.1. Let f = 1 - 0.5. Let h = f - 1.5. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/24 + 3*t**3 - 47*t**2. Let w(p) = p + p + 3*p + 0*p - 6*p. Give c(w(n)).\nAnswer: -n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*b = -8*b - 540, 0 = b. Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 0 + 0 + 20*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143221 divided by 1.\nAnswer: -143221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -0.3 (b) -1 (c) -1376.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 171\/2 + 24*o - 49*o**2 - 1\/2*o**4 + 12*o**3.\nAnswer: -(o - 19)*(o - 3)**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -16, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 725 and 1?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/48 and -83\/1196244.\nAnswer: 4784976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 156*j + 10140. Calculate w(-63).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:32 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5) - -1*12\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*i = -124*i - 38. Let p(m) = 19*m + 18*m - i*m. Let c(l) = l. Calculate -2*c(q) + p(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*q**2 + 17*q**4 + 23*q**2 - 9*q - 6*q - 58*q**2 + 18*q**2 + q**3 in the form p*q + h*q**3 + k*q**2 + n*q**4 + u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shsh when four letters picked without replacement from hshshsssssh.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/12 + 4*k**3\/3 - 5*k**2 - 6*k. Let q be j(5). Suppose 121 = q*w + r + r, 77 = 4*w - 5*r. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, y: 1, d: 1, h: 2, n: 3, r: 1}. Give prob of picking 1 r and 3 n.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 + 22258*i - 44512 = 0 for i.\nAnswer: 2, 22256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 - 11*x**2\/2 + 12*x + 16. Let l be u(10). Suppose -i + 20 + l = 0. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w**2 + w + 1. Is p(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -193*b**2. Let g(t) be the third derivative of 7*t**5\/60 - 2286*t**2. What is c(g(n))?\nAnswer: -9457*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 50. What is the highest common factor of i and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24770 - 0.1?\nAnswer: 24769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12 and 2\/7*5782\/(-1512).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 15*w**3 - 20*w.\nAnswer: -5*w*(w - 2)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 903048.\nAnswer: 270914.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -14.6 (c) 0 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 13*w + 17. Let t(l) = 3*l**2 - 20*l + 25. Let v(g) = 7*i(g) - 5*t(g). List the prime factors of v(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1483 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 2*o - 1 + o**2 + 4*o**2 - 1. Let m(t) = -16*t**2 - 11*t + 11. Calculate 6*m(b) + 33*s(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6 = 5*y - 4, -5*z + 2 = y. Let r be ((y + 1)\/(-3))\/(-9 + 10). Suppose 0 = -3*p + 2*p + 2*i, 2*i = -5*p + 24. Sort 0, p, r in decreasing order.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klll when four letters picked without replacement from qglllkllq.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55543 - 3?\nAnswer: 55540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 313651 and -0.795.\nAnswer: 313650.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3 + 288*c - 699 with respect to c.\nAnswer: -6*c**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d**4\/d*d*(d*d**(-11)\/d)\/d*d**(-5)\/d*d*d assuming d is positive.\nAnswer: d**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 - 18 - 60 - 2*n**2 - 58 + 2*n + n**2 + 5*n**2.\nAnswer: 15*n**2 + 2*n - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -5*u - 35, -6962*u = -6967*u - 9*r - 51 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 2*f - 4. Let t be s(2). What is the highest common divisor of 72 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a (base 12) to base 4.\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 6*m**2 + 21*m - 37. Let j be y(8). Which is the third smallest value? (a) -20\/9 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 2*m + 1. Let q be x(3). Suppose -29*c = -35*c - 366. Let o = c + 74. Calculate the highest common divisor of q and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4502 or -49508\/11?\nAnswer: -49508\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/8 + k**3 - 6*k**2. Let a be l(-2). Is 3\/(a - 3) + 218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 23 - 7. Let w be 40\/v - (-2)\/(-4). Let t(q) = -q**2 + 3*q. Let k(o) = 2*o**2 - 7*o - 1. Let d(g) = w*k(g) - 7*t(g). Give d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 2*t**3 + (t + 2*t - 2*t)*(t**2 + 0*t + 0*t) + (-t**3 + 1 - 1)*(1 + 1 + 0) + 25*t**3 + 0*t**3 + 0*t**3 as j*t + c*t**2 + u*t**3 + o and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12571318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -75035.275 rounded to the nearest ten?\nAnswer: -75040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8508476 is divided by 238.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 + 193877*c**2 + 17849*c - 13 wrt c.\nAnswer: 18*c + 387754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1259 - -1261. What is the third smallest value in -1.7, -0.5, -2\/9, l, -0.05?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*v - 19, -5*n + 5*v + 6 = -9. Let f be n - (-3 - (-63)\/30). Sort f, 2\/9, 3\/7.\nAnswer: f, 2\/9, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 201 = -0*v. Let n = 1320 + -924. What is the remainder when v is divided by 17\/(153\/n) - 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 1. Suppose -6*g + 23 = -5*g - 4*a, 5*a + 28 = 2*g. Let u(b) = -16*b**2 - 4*b + 4. Determine g*u(l) - 4*w(l).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 6, v: 1, f: 4, j: 3, d: 3}. What is prob of picking 1 x and 1 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783 is divided by 166.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83814, -168029, -252244?\n\"Answer: -84215*h + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 20744535\nAnswer: 11\/20744535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56874 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab02ba - -9?\nAnswer: 1ab0307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = -49. Let k = j - -33. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 8 = -4*f, -2*f = 5*n + 6. Let d be (-26 - -5)*(-6)\/f. Suppose d + 2 = -5*l. Which is bigger: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -14. Is u\/(2\/(650\/5)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(68) - sqrt(68))**2 - (1 + (1 + sqrt(17))**2) - ((sqrt(17) - ((sqrt(68)\/sqrt(2))\/sqrt(2))**2) + sqrt(17) + 5*sqrt(51)\/sqrt(3))).\nAnswer: -27*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -52*t**2 + 3*t + 4. Let b be g(-1). Let y = -47 - b. What is the first derivative of 2*i**y - 17 - 13*i**4 - 7*i**4 wrt i?\nAnswer: -72*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11*t + 2*v - 95021 = 0, -3*v - 54277 = -4*t. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 + -1314\/7. What is the fourth biggest value in 4, 6\/7, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**7\/210 + 3*r**6\/40 - 7*r**5\/15 + 3*r**4\/2 - 8*r**3\/3 + 9*r**2 - r. Suppose g(i) = 0. Calculate i.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70114?\nAnswer: 2, 11, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, r: 2}. Give prob of sequence rrl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 4*s + 2. Suppose -3*a = a - 52. Let z be a\/(-3) + (-11)\/(-33). Let r be c(z). Solve -4*y + v + r*v - 13 = 0, -2*y - 4*v - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-90)\/(-25) - (-3 + (-39)\/(-15)). Let j be (-176)\/(-208) - c\/(-26). Solve -a + j = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75396 and 488?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 7:05 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124 - (22 - 14)) + 96.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40303 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-52)\/14 + 4\/(-14). Let u = d - -11. Let s = 8 + u. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a, -2*a + 128 = 3*j - a. Suppose -65 = 3*g - 92. Suppose g*p = 44*p - 2310. What is the highest common factor of j and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -36*u - 1617. Calculate f(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 41, 0.4, 363, 2\/3, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3*x*x**(-5)\/x)\/((x*x\/(x**6*x))\/((x*x\/(x*(x*x**(1\/7))\/x)*x)\/x)))\/(x**(-5)\/x*x**(-6)\/x*(x\/x**(2\/7)*x)\/(x**(-5)*x)) assuming x is positive.\nAnswer: x**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1*i)**(-2\/15)*i**(12\/11)\/((i**1\/i)\/i) assuming i is positive.\nAnswer: i**(93\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.091 + 0.091. Let j = 828\/107 - 281686\/38199. Let i = j - 4\/51. What is the third biggest value in f, 2\/3, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -990349, -3961409, -8913175, -15845647?\n\"Answer: -990353*i**2 - i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 - 1 - (-27 - -25). What is the closest to -1 in 5, m, 0.7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -153 - 79. Suppose 0 = -4*s - 4*y - 596, -3*s - y - 573 = -m. Let q = s + 238. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092435375 a multiple of 8375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.7828068845 and 0.4?\nAnswer: 2.1828068845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -87?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19139688 + -9439688. What is c rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712074?\nAnswer: 2, 3, 11, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37412867003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4307 + 1?\nAnswer: 4308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 121*o - 82. Let u(n) = 133*n - 83. Give 11*h(p) - 10*u(p).\nAnswer: p - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.35419145 and 0.\nAnswer: -0.35419145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*t**2 - 60*t**2 + 38*t**2)*(2 - 5 + 1)*(-3 + 0 + 1) to the form o + z*t**2 + q*t and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 6*r**2 - 8*r - 1. What is v(6)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4256)\/708 - (38 - 44))*3?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145451606*c**4 - c**3 - 292646544*c**2?\nAnswer: 3490838544*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(7\/(-21)*27 + 27). Let g(u) = -2*u**2 + 15*u + 104. What is g(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213864?\nAnswer: 2, 151733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1971\/16 + -1687\/16. What is the common denominator of ((-2)\/48)\/((-14)\/(-114)) and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251*p**3*v**2 + p**3*v + 4*p**3 + 2*p**2*v**2 - 97*p**2*v - 201*p*v**2 + 2*p wrt p.\nAnswer: -1506*v**2 + 6*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1547075642 to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 33 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t + 25 = 0. Suppose 9*f - 4*f = 40. What is the remainder when f is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2362*q**2 + 3*q + 3. Let s be l(-1). Let j = 2 - s. Round j to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17623, -17612, -17577, -17506, -17387, -17208, -16957, -16622?\nAnswer: -16191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.127, 21, -12\/605.\nAnswer: -12\/605, 0.127, 4\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-6) + (-31840)\/(-15). Let i = -995 + t. Let q = i - 641. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2. Let k(f) = f**2 + 13*f + 26. Let u be k(-11). Suppose -2*t + 16 = u*v, 0 = 3*v - 8*v - 5*t + 30. Let s(w) = 3 - 5 + v*w + 2. Give m(s(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37422\/(-378)*3\/(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*g + 2. Suppose 0 = -t - g*t - 480. Let d = -12 - t. Calculate the least common multiple of 6 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1452, -2952, -4452, -5952, -7452, -8952?\nAnswer: -10452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -446, 44, 1352, 3880, 8030?\n\"Answer: 67*f**3 + 7*f**2 - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/2, -20, 5, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13140*g**2 + 39426*g**2 - 13142*g**2 - 13137*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*q + 10*q - 8*q to the form i*q + b and give i.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*l + p - 1, -2*p - 8 = 0. Let n be ((-1)\/(-3))\/((-2)\/(-6)). Calculate the remainder when l is divided by (-1 + 8)*2\/n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*n - 0*n - 2*i, 4*i = -5*n + 57. Let x = n - 7. Solve -5*j**2 + 15*j - 5 - 2*j**x + j**3 - 3 - 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 117496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 2*a**2 + 15*a**2)*(2 - 3 + 3)*(4 - 2*a - 4).\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + q + 1232, 5*d = -4*q + 681 + 1395. Suppose -410 - d = -6*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dndd when four letters picked without replacement from {d: 14, n: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1732*z**5 - 22313*z**2 - 2*z + 104104540 wrt z?\nAnswer: 34640*z**3 - 44626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416 and 99744.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 - 9266018.9474.\nAnswer: -9266018.9214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 25*n + 3*n + 1 - 1.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116259 and 7317.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 4, 6, 0.14, 1, 242?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2657232 months in millennia?\nAnswer: 0.0000221436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:04 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 0. Let x(p) = p**2 - 14*p + 17. Let w be x(b). Solve 0*v - w*v = -8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*a - 21*a - 66 = -44*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + 4 + -1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16080282?\nAnswer: 2, 3, 41, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0601401956 to five decimal places.\nAnswer: 0.06014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2131*k**2*t**3*u**2 - 2*k**2*t*u**2 - k**2 + 170*t**2*u**2 wrt t.\nAnswer: -12786*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1065 and 7935.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 0, -0.08, 0.7, 2 in descending order.\nAnswer: 2, 0.7, 0, -0.08, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*1*1)\/(1*sqrt(24)\/sqrt(4)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 2957*p - p**2 - 3*p**2 - 2957*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a0f - 4?\nAnswer: 2a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**3 + 12*t**2 - 16*t - 33. Let w(o) = -6*o**3 - 18*o**2 + 24*o + 50. Let x(q) = -8*v(q) - 5*w(q). List the prime factors of x(-6).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -26, -0.4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(2\/(-8)))\/(1 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/3 + 121038*w**3 + 1089378*w**2 + 3268170*w + 3268188 = 0.\nAnswer: -3, 181566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*z + 1602, 4*z - 2142 = -16*r + 17*r. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 9990?\nAnswer: 9990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 303180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4 + 16187*j**3\/3 + 70184*j**2\/3 + 86396*j\/3 + 7200 = 0. Calculate j.\nAnswer: -2, -1\/3, 5400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9652 is divided by 151?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - c = 2*c - 6, 4*d + 4*c + 12 = 0. Let f = d - -5. What is the third derivative of 20*y**3 + 4*y**5 - 20*y**3 - 4*y**f wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44882 and 1122042\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {c: 1, b: 2, d: 2, z: 1, q: 1, k: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -7081 and -7079 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*k - 5*k + 13*k + 30*k to the form w + j*k and give j.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d**3 + 350749*d - 175374*d - 175375*d.\nAnswer: 53*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzf when four letters picked without replacement from urrfgrrrrwgzrrfzu.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -120211632?\nAnswer: 120211633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -3)\/((-3)\/(-4)). Let p be 1\/t + 63\/12. What is the derivative of 4*i - p*i - 2 + 2*i wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h + 5. Let r = -6 - h. Let w(c) = -c**2 - 3*c + 9. Let q be w(-4). Put r, 4, q in descending order.\nAnswer: q, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3 + 11. Suppose -97 = -l*z - 17. Suppose 2*w + 14 = 4*w. Calculate the remainder when z is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2305 + 1041?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 40454806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f + 204690 + 586480 + 590265 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - 1.4. Suppose 2*g - 459 = m, 2691 = -4*m + 5*g + 870. Let f = m - -454. Put f, a, -3\/7, 0 in decreasing order.\nAnswer: f, 0, -3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 - (34 - 21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4114 = 4*n, 3*n + 2*x - 2189 - 893 = 0. Calculate the smallest common multiple of 30 and n.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 613844 and 440?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -192 + 189. Which is the nearest to -0.25? (a) -1 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 162\/27 + (-5 - 1) + -6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2785385, -2785389, -2785393, -2785397, -2785401, -2785405?\n\"Answer: -4*u - 2785381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 81. What is x(-25)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from ppnttnttnyyt?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 + 145*n**2 - 6*n + 65. List the prime factors of o(33).\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let s(i) = -i - 3. Let t(c) = c + 5. Let q(b) = 10*s(b) + 6*t(b). Let z = 80 - 86. Let v be 4\/6*4\/(-16)*z. Calculate v*q(w) + 5*u(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 575*y**2 - 5753*y\/5 + 2877\/5.\nAnswer: (y - 1)**2*(y + 2877)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -367 - -611. Let n = -238 + r. Calculate the greatest common factor of 81 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6894a (base 12) to base 6\nAnswer: 2554134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 + -101. Are u and -12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -4, 2, 3, -2, -5 in descending order.\nAnswer: 106, 3, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 10\/897?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syssnynnfssyysddn. What is prob of sequence dfn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/10)\/(5\/550)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 2*d = -29 - 96, 38062*x = 38061*x + 4*d + 29 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3993\/561 + 2*(-7)\/2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*f + 238 = 0, -2*q - 5*f = 2*q - 494. Suppose 459 = 4*z - q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316 or -400?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 20*n. Let a be b(-1). Let c be (a*15)\/((-168)\/(-635600)). Round c to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 times -0.04?\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -774 + 1276. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*o**2 + 685*o**2 - 12*o**2)*(19*o**2 + 4*o - 4*o) + (4*o + o - 4*o)*(o**3 + 0*o**3 + 0*o**3).\nAnswer: 11477*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 29 + 29 + 28*n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/(-8) + -3)*0. Suppose h*w - 2*w = 4. Which is the nearest to 0? (a) -0.5 (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227 by -4.\nAnswer: -227\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -504701 to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + o)*(2*o**3 - 4*o**3 + 0*o**3) + 3*o**4 + o**4 - 2*o**4 + (1 + 3 - 1)*(4*o**4 - 4*o**4 + 2*o**4).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10804 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1984*m**4 - 94*m**2*x + 2*m*x + 854*m + 143 wrt m?\nAnswer: -23808*m**2 - 188*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 10717047?\nAnswer: -10717037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 59.77627 weeks?\nAnswer: 36152688096000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 959 = -1687. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 30*v**2. Let s(z) = -z**3 + 10*z**2 + 7*z + 27. Let m be s(11). Let u(o) = 4*o + 70. Let k be u(m). Let j(x) = 29 - 56 - x**k + 27. What is g(j(p))?\nAnswer: 30*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 16. Let i be (-245)\/q*(-2)\/(-1). Suppose -6*x + i = -x. Calculate the greatest common factor of x and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 33*n = -31*n + 162, n = 4*f - 324. Solve -f = 7*w - 34*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 932007112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 9. Let c be s(10). Let f(a) = 959*a**2 + 1. Let j be f(c). Round j to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36501?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 6*i**5\/11 - 1046*i**4\/11 + 8988*i**3\/11 + 3631296*i**2\/11 + 6013952*i\/11 - 2408448\/11 = 0.\nAnswer: -48, -2, 1\/3, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -70*b**2 + 12*b + 131*b**2 - 65*b**2. Let q(r) = 3*r**2. Calculate q(m(k)).\nAnswer: 48*k**4 - 288*k**3 + 432*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 25*d - 88 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-13)\/936*468\/429?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*o = -115*o - 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2*a - 4. Let v be s(6). Suppose 3*y = 7*y - v. Sort y, 1, 6 in descending order.\nAnswer: 6, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -329, -228, -139, -68, -21, -4?\n\"Answer: -c**3 + 108*c - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8 + 12, 5*y - 205 = 2*h. Let k = -142 + 143. Suppose 3*u + k - y = 0. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12661 - 45214. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -178*z**2 - 942*z**2 + 128*z**2 as h*z**2 + x + b*z and give h.\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.1. Let b(u) = u**3 + 3*u**2 - 18*u - 42. Let a be b(-2). What is the closest to -0.3 in r, a, 5\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(14\/56*4)*1020\/((-204)\/12)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121827834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfe when three letters picked without replacement from eptfnpfftpefffenfttn?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-22 - -8) - -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*c + 34*c = 45. Let n(m) = -11*m**3 - 12*m**2 - 17*m + 17. Let j(k) = -7*k**3 - 8*k**2 - 11*k + 11. Let r(y) = 8*j(y) - 5*n(y). Calculate r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (8 + -12 + 0 - -17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 6*h - h + 2 - 3. Let v(r) be the third derivative of 7*r**4\/24 + r**3\/6 + 2*r**2 + 37. What is -5*c(u) - 4*v(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2212 + 0.1812. Put -3, m, 4, -1 in ascending order.\nAnswer: -3, -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32476318.\nAnswer: 2, 7, 331391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3025\/(-9075)*((-3)\/(-6))\/((-2)\/276)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, -100, -456, -1152, -2302, -4020?\n\"Answer: -19*c**3 + c**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 510.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79453355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - (-4 - -9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -2.628?\nAnswer: 0.7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*3)\/((-44)\/(-8)*336\/(-924)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.007 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 40 = -5*g, 3*g - 89*y + 598 + 928 = 68*y - 500 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 7\/8) + 92713\/184 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176637676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 57 + 931*m + 891 - 44*m**2 + 20*m + 25*m**2 + 22*m**2 = 0. Calculate m.\nAnswer: -316, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:57 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 31*a - 237. Let n be x(-15). Solve t - 5*o = 17, -t + 0 = n*o + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 + (-78)\/(-21). What is the common denominator of 21\/8 and a\/30 + 20371\/(-10920)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -8604?\nAnswer: 860.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2178\/45600 + 2\/(-19) and 59\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 17 = 2*p, p = -2*j + 3 + 4. Factor 25*w**4 + 35*w - 5*w**5 - p*w**3 + 7*w**3 - 24*w**3 - 15 - 10*w**2.\nAnswer: -5*(w - 3)*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1237321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -25*c - 146. Let u be i(-6). Suppose u*f + l - 336 = 4*l, 5*l = 0. What is the highest common factor of f and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 115.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7214142 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/9 - (34 + 1). Which is the second smallest value? (a) 2 (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8923*d - 5*d**2 - 14*d**2 + 1704*d + 20*d**2)*(-2 - 2*d + 2) to u*d**2 + l + h*d + q*d**3 and give u.\nAnswer: -21254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-4 + (-3)\/((-42)\/52)). What is the smallest value in v, 0.1, 25, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4 and 67\/11578.\nAnswer: 23156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 64081*o + 7 - 64074*o - o**2 - 8. Suppose 2*a = a + 3. Suppose 2*c = q + 16, c + 6 = a*c + 4*q. What is u(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 66.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 6) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwwwpkpkpkp. What is prob of picking 1 k, 1 w, and 1 p?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018434685.\nAnswer: 5, 97, 4161721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2542100408?\nAnswer: 2, 659, 482189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*f + 5*c + 120, 0 = -5*f - 3*c + 120. Let m = f + 0. Suppose 0 = -k + 2 + m. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 890283506 - 890291406.81203. Let r = g - -7889.81203066. Let h = r + 11. What is h rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 - 4*r**4 + 2*r + r**3 + 0*r**3 in the form a*r**4 + v*r**3 + i*r**2 + x + d*r and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 48, 64, 78, 90, 100?\n\"Answer: -p**2 + 21*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -15*f + 135, 22 + 7 = 6*f - a - 25 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188896836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 9?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3042*0.10916\nAnswer: 332.06472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + 112. Let p be m\/6*(-87)\/(-66)*233. Let d = -7220 + p. Calculate the common denominator of 75\/4 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 882447145 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 172, 167, 160, 151, 140, 127?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqdq when four letters picked without replacement from {d: 2, i: 1, o: 3, q: 3, h: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4 - 1 - 3*f - f. List the prime factors of k(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + 4 + -3*sqrt(76) + sqrt(19) + 1 + sqrt(19) + -2 + sqrt(1539) + 1).\nAnswer: 35 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11780*i. Let g(a) = 5*a**2. Determine k(g(c)).\nAnswer: -58900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9*i = -3*h + 7688, i = -4*h + 10254. Suppose 17*w + h = 21*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a = -828*a - 6170 - 8422 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 - -151. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921782 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 168*u + 1. Let d be 12\/20 - (-4)\/10 - -5. Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:26 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -85. Let x be 4 + -10 + h + 6. Solve 2*b - 5*v = -x*b + 35, -4*b + 24 = -3*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 + 15619?\nAnswer: 15641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 22 + 16 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 207514*x - 778743.\nAnswer: 207514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 29*m + 24*m - 66*m + 9*y + 30 = 0, -5*y = -3*m + 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(432)*1 + -5)**2*2.\nAnswer: 1440*sqrt(3) + 31154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**3 - 21*p**3 + 38*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1\/4*t**4 - 3*t - 6*t**2 + 0 + 0*t**3. Determine b so that d(b) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c53 - 0?\nAnswer: c53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 4*n - 55469 + 55469.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q)**(-1\/15))**(-32) assuming q is positive.\nAnswer: q**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 11. Suppose 2*j = i*v - 60, -2*v + 24 = -2*j - 3*j. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -10. What is the remainder when 7 + (-2 - 1) + 18 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 4:29 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 4*j + 7*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:39 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148836, -148852, -148868?\nAnswer: -148884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1464042 + -5?\nAnswer: 1464035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.24 (b) -2 (c) 68 (d) -4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(84))\/(sqrt(48)\/(-1*sqrt(4) + sqrt(4) + sqrt(4) + sqrt(4))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-136)*(-128)\/32\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94\/(-12) + (-320)\/(-40)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -22. Which is the nearest to 0.2? (a) p (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - -9. Solve -l = 4, 5*z - l = -0*z + i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from hlllwlhlwwlww.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 7*o - 0*o + 17. Let w(t) = 5*t**3 + 7*t**2 - 8*t + 14. Let p(d) = 4*d**3 + 6*d**2 - 7*d + 13. Give o*p(c) + 6*w(c).\nAnswer: 2*c**3 + c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -5.987?\nAnswer: -1.7961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28237*u**4 + 10864?\nAnswer: 112948*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 4. Let r(d) = -d - 3. Let n be (6\/(-4))\/(3 + (-33)\/10). Let w(l) = n*r(l) + 4*t(l). Give w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-30) - 11\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37077 and 0.5?\nAnswer: -18538.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + (5 - 4 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/4 + 8*s**3\/3 - 2*s**2 - 14*s + 4. Does 5 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 295. Let b(s) = -12*s - 10. Calculate u(b(g)).\nAnswer: 24*g + 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8728181 + 8727998.00226. Let s = n + 183. What is s rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2\/5 - 1821*u\/5 + 3702 = 0?\nAnswer: -617, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 divided by -1382?\nAnswer: -47\/1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -177148468000 to the nearest 1000000.\nAnswer: -177148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(4\/12 + -3). Suppose -g = 2*a - 3*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3274?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l**2 + 7*l + 10. Let t(w) be the third derivative of 2*w**5\/15 - w**4\/3 - 11*w**3\/6 + 22*w**2 + 3. Give -6*a(q) - 5*t(q).\nAnswer: 2*q**2 - 2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 2*j**2 + 4*j + 7. Let f be i(-5). Let s = f - 1053\/17. Are s and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 - 1)*(-1001 + 1)*60. Round d to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:22 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/4*(-3 - -5). Suppose 4*d - w = 51. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(30\/(-108))*(-2)\/(-4). Suppose -3*l = 6*d - b*d - 6, -5*l = 4*d - 46. Calculate the remainder when 10 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80057.59 nanometers to millimeters.\nAnswer: 0.08005759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, z: 1}. Give prob of sequence tztt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-175))\/(3\/5). What is the closest to m in -3, 0.1, 6\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 53 = 5*y + 4*a, 5*y - 13*a = -15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -748700*c**2 + 2870876*c wrt c?\nAnswer: -1497400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1102)\/(-9251)*(-123)\/(-2337).\nAnswer: 2\/319","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 128. Suppose -3*n = -0*n - 5*h - v, 3*n - 3*h = 60. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 51 - 2*a - 13 - 33 + 5*a**3.\nAnswer: 5*a**3 + 5*a - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0258009 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8507 - -8510. Let b(a) be the first derivative of -4 - w*a + 3\/2*a**2. Give b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/560 - 449\/560. Which is the biggest value? (a) 45 (b) x (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38437312489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -112355379 >= -112355380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1667 - -1.7397. Round m to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.84 to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 81435529.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 4*x = -222630 - 83781. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 194 - 195 = 0. Put 43, u, 1 in ascending order.\nAnswer: u, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1 (c) -31\/366 (d) -0.02 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -7. Let p = g - -12. Suppose -10 = y - p*y. What is y rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 24. Is (c\/12)\/(2\/(-573)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y - 4*c, -5*y + c = -0*c - 11. Suppose y*x + x - 16 = 0. Does 7 divide (-4)\/(-6)*78\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18*n**4 + 32*n**3 - 90*n**2 + 40*n. Let d(b) = 125*b**4 + 225*b**3 - 630*b**2 + 280*b. Let u(m) = 3*d(m) - 20*v(m). Let u(a) = 0. Calculate a.\nAnswer: -4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let g = -32 + 34. Let x be g\/6 - (-25)\/(-60). Is h at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1 + 2. Suppose -f + 0*f - 5*m + 5 = 0, -h*f + m + 15 = 0. Suppose -g - 1 - f = t, -5*t - 5 = 0. Sort g, 2, -1 in decreasing order.\nAnswer: 2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 1096*p\/3 + 137030\/3.\nAnswer: 2*(p - 355)*(p - 193)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51)\/68 - (-117454)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 196468*y - 196669*y + 7 to the form s + i*y and give i.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10652\/18 + (-2)\/(-9). Suppose 0 = 17*o - 3110 - 3588. Suppose -l + b = 3*d - 3*l, o = 2*d - 2*l. Calculate the greatest common divisor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1\/4*5. Let q = -5.04 + 0.04. Which is the nearest to z? (a) q (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1157, -2424, -3691, -4958?\n\"Answer: -1267*p + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 33*g**2 - 90*g. Let u be n(30). Let o = 51.5 - 51. Which is the smallest value? (a) u (b) o (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -51.\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15806657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-496)\/(-1680) - (-126)\/(-294)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486 and 157644.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03736513196 to 6 decimal places.\nAnswer: -0.037365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 5. Let f(v) = 21*v**2 + 3*v + 13. Determine 3*c(x) - f(x).\nAnswer: -24*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 111*k - 359. Let s be r(-52). Solve 5*o - 10 = -4*w, 3*w - 13 = -6*o + s*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 4*i - 2465. Calculate x(50).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6897)\/(-39) + (-2)\/(-13). Let b = u - 86. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/24 + 0 + 68\/(-32). Sort -1, i, 1, 0 in increasing order.\nAnswer: i, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10957, -21979, -33073, -44239, -55477, -66787, -78169?\nAnswer: -89623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 3*d + 2. Let r be j(2). Solve r*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 38*t**3\/3 - 13*t**2\/2 + 7*t + 55. Is c(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3363 + 3375. Let j be 2 - -1 - 2\/2. Suppose -35 - 33 = -j*i + f, -4*f = 5*i - 183. What is the remainder when i is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284919041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 14*r**3 - 13*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3115 - 3115.15. What is the second biggest value in 1\/5, w, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from {f: 8, u: 4, y: 1}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155271460 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231621 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lls when three letters picked without replacement from {s: 2, l: 2, q: 11}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5 - 9 + 2 + 0 + 2*b. Let r be s(9). Let k be 4 - (-2 + 3)*2. Solve -k*i + r = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*z - 3*h + 1, z + h - 1 = 0. Suppose -2 - 10 = -z*o. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**42)**(-3\/7)\/(i**(-5)*i**4*i**1\/(i*i**(3\/4)*i)) assuming i is positive.\nAnswer: i**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(2\/4 - 0). Suppose y*h - 107 - 9 = 0. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -10. Let m = 3.4 + -3. Which is the third biggest value? (a) u (b) m (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -2\/37 (c) -15 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czee when four letters picked without replacement from ecczvezcccezvzz.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 13 = -5*z - 2, -z = 4. Let g = 2 - w. Let p = 0.34 - 0.24. What is the second biggest value in p, g, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03996 (b) -0.1 (c) -0.09 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/9 + 19\/90. Let x(d) be the first derivative of -1\/15*d**3 + 0*d + 2 + 0*d**2 + z*d**4 - 1\/25*d**5. Factor x(u).\nAnswer: -u**2*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - -0.01. Sort -0.2, u, -3 in increasing order.\nAnswer: -3, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929571 is divided by 990.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112880)\/(-163200) - 4\/6.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 73. Let u be -3 + (-57)\/(-21) - 1268\/p. What is the greatest common factor of u and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 98 (b) 2 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/5)*z*z**(-2\/9)*z assuming z is positive.\nAnswer: z**(62\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 41*s + 2 = 0. Solve 3 = -b - s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 459 and 306.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1251 and 27?\nAnswer: 3753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 6*l - 12*l)*(0 - 5 + 4) + (-3 - 1 + 3)*(-5*l + 1 - 1) + 5*l + 0*l - 2*l + (-2 - 3 + 2)*(1 - 1 + 2*l) as y + n*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -5. Let r(g) = 3*g**3 + g. Let u be r(1). Suppose -p - u = -5*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 442770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 5*w + 75. Let p = w + 17. Find the second derivative of 0 + 2*a - 6 - 3*a**p + 6 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(325) + ((sqrt(325) + sqrt(325) + -5 + 1 + sqrt(325))**2 - sqrt(325)))*-2 - (((sqrt(325)*2 - sqrt(325))*-6)**2 + -1*sqrt(325) + -4)) + 5).\nAnswer: -980*sqrt(13) + 70292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 6?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2208 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3362, -4126, -5402, -7190, -9490, -12302, -15626?\nAnswer: -19462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 18. What is the biggest value in -0.5, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*s - s**2 + 76*s**4 - 31*s**4 - 44*s**4 + 9 - 8 to z*s**4 + u*s**3 + d + f*s**2 + o*s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*s + 24, 3*s - 22 = 3*m + 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*(-15)\/(-120)*(-1)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 65 = 4*j, -4*p + 44 = -5*j - 11. Let m = j - -21. Find the first derivative of 8 + f**3 - m + 5*f**3 - 8 wrt f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11143.61 to the nearest 10.\nAnswer: 11140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1958)\/44 + 2 + (-1)\/2. Are o and -42 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:30 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.3849757 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i - 2*t, 0 = -5*i + 3*t - 6*t + 15. Solve h - a - 3 = 0, 4*a + i = -2*h - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, d: 2}. Give prob of picking 2 r.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 3:21 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11156*c**3*m**3*s**2 + 27*c**3*m**2*s**2 + c**3*m - 23*c**2*m**2*s**2 + 10*c**2*m*s**2 + 3*c*m**3*s**2 wrt m?\nAnswer: 66936*c**3*s**2 + 18*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -144838 and -144840 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 8*a + 28 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1*9\/(-2))\/((-507)\/1521).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 + 7280*z**2 + 263572*z - 556296 = 0. Calculate z.\nAnswer: -1783, -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141890, 141891, 141916, 141977, 142086, 142255?\n\"Answer: 2*o**3 - 13*o + 141901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 2*d - d)*(0 + 0 + d) - 2 - d**2 + 2 + 17*d**2 - 8*d + 6*d - d to the form j + t*d + h*d**2 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18 - 544\/(-12))\/((-4)\/(-798))?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 63*l**3 + 62*l**2.\nAnswer: l**2*(l - 62)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 22*p. Let w(h) be the first derivative of h**4\/12 + 5*h + 15. Let m(j) be the first derivative of w(j). Give m(t(g)).\nAnswer: 484*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -74*a + 661. Let b be m(9). Let d be (-14)\/(-2) + (-1 - 0). Let p = d + -4. Put p, -1, b in decreasing order.\nAnswer: p, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 14*n + 134. Calculate k(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33342 is divided by 15742.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 8. Suppose 0 = -c - 3210 + 3217. What is t(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:16 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 5. Let i be p(0). Suppose 4*l = 3*d - 10, 4*l + 4 = -0. What is the third derivative of 2*b**3 + 11*b**2 - i*b**2 - 7*b**d wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06658251552 rounded to 5 decimal places?\nAnswer: -0.06658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 9 + 48. Suppose 5*c = -0*c + 55. What is the remainder when x is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2) - -4) + -3. Let n be (12 + (-1 - -1))*1\/s. Let r be (31 + n)\/((-15)\/(-6)). Is r greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 674*b**2*z**3 - 23*b**2*z**2 - 436*b + 23*z**3 wrt z.\nAnswer: 4044*b**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 784 - 72 = 25*m - 176 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26250349?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - 75.48?\nAnswer: -169.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 277363440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2356600 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4054547370 rounded to the nearest 1000000?\nAnswer: -4055000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20860 - -20860.1. What is the closest to d in 0.4, -2, -0.5, -10\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 3:00 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 114*w**3 + 117*w**3 + 3 + 8 - 12 as c*w + j*w**3 + q*w**2 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68156328 >= 68156329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*v**3 + 5*o**3*v - 5*o**3 + 7*o**2*v - v**3 + 1975*v**2 + 17*v wrt v.\nAnswer: -6*o**3*v - 6*v + 3950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 9.112901?\nAnswer: -16.112901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 18*o - 10 = 16*o, -2*w + 3*o - 15 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 7*h**4\/3 + 680*h**3\/3 - 59*h**2 - 1. What is the derivative of q(k) wrt k?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31.3 - 31. Let n = 0.6 - r. Round n to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + b + 1 = 0, 4*f = f + 2*b - 1. Factor 2*z**2 - 5*z**f - 6*z - 11*z**2 + 2*z**3.\nAnswer: -3*z*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*z - 1, -5*z + 1 = 4*m - 8*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/30, 22, 4, 5, -2\/5 in ascending order.\nAnswer: -2\/5, -1\/30, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18960179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 26*p**2 - p + 5. What is l(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235065 - -3053494\/13. Let u = h + 181. Which is the smallest value? (a) u (b) -2\/9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:25 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 10:37 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 7*r + 17. Let u be z(-9). Let w be (-4 - -8) + (3 - -2)*u. Does 6 divide 1 - (-72 + (-2)\/(w + 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.8 + -47.9. Let o = t - -2.1. Let x = 24.99956 + o. Round x to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349668\/35 - 69928\/7. Factor 0 - 1\/5*o**3 - v*o + o**2.\nAnswer: -o*(o - 4)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.1, 2\/3, 98?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -10.\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52352457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 1\/10*u**5 + 0*u**4 + 2 - 1\/3*u**3 - 10*u + 0*u**2. Let v(m) be the first derivative of y(m). Find n, given that v(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 14*l**2 + 2*l**2. Let a(y) = -5*y**2. What is a(v(w))?\nAnswer: -320*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*k + 1, -o - 4*k = 6. Let q = 10 + -9.98. Sort 0.1, 0.5, q, o in decreasing order.\nAnswer: o, 0.5, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25198293.\nAnswer: 3, 109, 263, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**3 - 10*u**3 + 9*u**3 + (-1 - u + 1)*(-3*u**2 + u**2 + 3*u**2) - 1 + 1 - 2*u**3 + (5*u - 4*u - 3*u)*(-1 - u + 1)*(13*u - 18*u + 9*u)*(4 + 0 - 3).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 964028 * 3.\nAnswer: 2892084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.794684l in millilitres?\nAnswer: 1794.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**2 - 464*m. Let r(u) = 48*u**2 - 1854*u. Give 9*d(i) - 2*r(i).\nAnswer: 3*i**2 - 468*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -613\/44 + 68\/11. Let d = -8 - o. Let r = 3.06 - 0.06. Sort 2, r, d in ascending order.\nAnswer: d, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mommmmommmmmmmmoommm. What is prob of sequence mmoo?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 985*d**2 + 2*d. Is s(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**10\/105840 - b**9\/17640 - b**8\/7840 - b**7\/8820 - b**4\/6 - 3*b. Let f(k) be the third derivative of v(k). Factor f(y).\nAnswer: -2*y**2*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 31. Let m be v(-15). What is the greatest common factor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 - q + 217. Suppose -5*p + 22 = -4*u + 6, 2*p - 4*u - 16 = 0. What is the hundreds digit of f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*l**3*m**5 + 2*l**3*m**2 + 10*l**3*m + 3*l*m**2 + 14*m**6 wrt m.\nAnswer: -540*l**3*m**2 + 1680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5820282 (base 9) in base 10?\nAnswer: -3142955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 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: Evaluate -9*40846\/8970 + 41.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*p**3 + 4*k*p - 25747*k - 3*p**3 - 134*p wrt p.\nAnswer: -6*k*p**2 + 4*k - 9*p**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - (5 + (-14 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r + 5*i + 25, -7*r = -4*r - 5*r - 3*r - 3*i - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:07 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 8:41 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/15 + 309578*l\/15 - 3405116\/15 = 0.\nAnswer: 11, 154778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224489530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4 + 123*z**3 + 600*z**2 - 2556*z - 6480 = 0.\nAnswer: -6, -2, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 60*o - 36 = 0. Let l = -1.2 - -1.4. What is the closest to 0 in -5, l, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 726010098 = 32171859 - 2009041761. What is x rounded to the nearest one million?\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27006 = -1012*o - 917*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4993283 millilitres in litres?\nAnswer: 0.0004993283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/5 + 8844*z**2\/5 - 8*z\/5 - 35376\/5 = 0 for z.\nAnswer: -4422, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.88 - -0.12. Let g = 0 - 1. Let r = n + g. Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19652, 39365, 59074, 78779?\n\"Answer: -2*s**2 + 19719*s - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 6) in base 12?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*g + 339*g + 12065 = -515*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o**2 + o. Suppose -3*x = -5*x + 14. Suppose -n + x = 10. Let r(z) = z**3 - 3*z**2 + 3*z. What is n*u(t) + r(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 33010 = 5*p, 0 = 3*p + 5*j + 5716 - 25522. What are the prime factors of p?\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 32*o**2 + 40*o**2 - 47*o**2 + (4*o**2 - 5*o**2 - o**2)*(1 + 0 - 3) + 0 + 0 + o**2 as x*o + s + b*o**2 and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -66, -67?\n\"Answer: -u - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 3*t**2 + t. Suppose 3 = 4*g - 9. Calculate i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 18*o**2 + 34*o - 22. Determine a(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:10 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 - 6*b - 10. Let d be l(-4). Suppose 0 = 2*u + w - 25, -2*u = 2*u - 2*w - d. What is the least common multiple of 26 and u?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6188 and -129\/140?\nAnswer: 30940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -19043 and -19044 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 - 188. Let a be 1705\/(-165) + 2*1\/6. Let b = 4 - a. Calculate the greatest common factor of b and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.48*-449.6.\nAnswer: 17750.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 73.5.\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/3, 2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.2739042 to one dp.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10109139?\nAnswer: 3, 29, 131, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 4)*(20*q + 2*q + 19*q)*(-1 - 6*q - 2*q - q) + (-1 + 2*q**2 + 1)*(1 - 2 - 1) - q**2 + 2*q**2 + q**2 as z + y*q**2 + l*q and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10011?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 57. Let c be n(-21). Put 1, 4, c, -2 in descending order.\nAnswer: c, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -267.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -113740126 and 30?\nAnswer: 113740156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 9*a**2 + 12*a - 3. Let d(l) = -2*l**2 + 29*l - 94. Let y be (50\/75)\/(2\/24). Let q be d(y). Give w(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 > 0.00647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68*17*31\/(-2108)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.464566kg?\nAnswer: 0.000464566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/30*-2*(-12)\/(-16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 32. Let j be f + 15 + 4\/(-1). Find the common denominator of (-1*(-22 - 4))\/(j\/2) and 47\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*x - x + 0*x)*(0 + 2 - 3)*(3 - 3 + 3*x)*(2 + 0*x**2 - 2*x + 0*x**2 - 2*x**3).\nAnswer: 426*x**5 + 426*x**3 - 426*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-11) - (-12)\/(-66) - -2601. Let x = q - 554. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(-6) - (-28)\/(-42). Let s(i) = -3*i - 2 - 5*i + h*i. Calculate s(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -126, -319, -598, -969, -1438?\nAnswer: -2011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 6, c: 2, m: 3, x: 1}. Give prob of sequence cr.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 46, -1, -69 in descending order.\nAnswer: 46, 5, 0, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4 - 5?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 1719*x - 26 = 1721*x, 0 = -3*y + 7*x - 79 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*b*g*h**3 + 5*b*h**3 + 2319*b*h - 904*g*h**3 - g*h**2 + 3*h**3 + 29*h**2 wrt h?\nAnswer: -204*b*g + 30*b - 5424*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 5*w**2 - 10*w + 65. Is h(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166236 is divided by 9638.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 + -4) - (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/63)\/((60\/945)\/((-2)\/33))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*a - a = 1298, 0 = 5*f - 5*a - 3245. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 39*y**2 + y. Let b be -2*-1*57\/(-6). Let g = -5 - b. What is the remainder when n(1) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 218345607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - g + 10, -5*g + 405 - 377 = -2*o. Is 6\/4489 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 39*g**3 + 5*g + 5. Give d(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110453 greater than or equal to -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = -w. Let x(r) be the third derivative of r**6\/120 - r**5\/15 + r**4\/6 - r**3\/6 - 44*r**2. Determine x(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 3}. Give prob of sequence uuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640 = 968434*c - 968466*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. List the prime factors of -3 + 17 + m\/(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**2 + 12*i**3 + 17*i + 2*i**2 - 5*i**2 wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399276 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -2 (c) 4 (d) 23 (e) 5 (f) -15\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*k, 5*x + 0*x - 920 = -4*k. Suppose -j + 5 = -m, -3*j = 2*m - 4 - 1. Does 22 divide j*(x\/12 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 27 = 4*n, -5*h = -5*n + 3*n + 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/493 or -1?\nAnswer: 6\/493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3636090407 to the power of 1\/2, to the nearest integer?\nAnswer: 60300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(18\/(-108)). Sort -5, -2, i, 9 in ascending order.\nAnswer: -5, i, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 89*o**2 + 181*o + 440. Determine d(-87).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 0 + 0*a**3 + 2*a**3.\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b0401 - 3?\nAnswer: 4b03cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.3 + -19.3. Let v be 1*((-2)\/2 - 3). What is the smallest value in v, -4\/7, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.8. Let u = f + -0.2. Let i(g) = -109*g + 436. Let q be i(4). Which is the nearest to u? (a) q (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x + 2. Suppose -4*s = w + 7, -15*w + 16*w - 11 = 2*s. Let b(v) = 14*v - 6. Determine w*b(d) + 16*n(d).\nAnswer: -10*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 8*g**2 - 107470*g + 429912. Calculate r(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + 36*t**3 - 9*t**3.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 271035921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 13*z**2 + 13*z + 16. Let y be w(-12). Suppose -2*k - y = -14. Solve 2*n - 5*x = -3*n + 25, k*x = -4*n - 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1127*v**2 - 283*v**2 - 279*v**2 - 8 - 568*v**2.\nAnswer: -3*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(225\/70)*(-6)\/(-2))\/(3990\/113715)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/15 - q**5\/30 - 4*q**2. Let n(k) = 9*k**3 - 3*k**2 + 1. Let f(i) = -2*n(i) + 3*t(i). Differentiate f(r) wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 c, and 1 n when four letters picked without replacement from jjnjjjjjjjccjt.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*g = -792*g - 55*g - 27347 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122112220 - 22211200?\nAnswer: -222101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**0)\/q)**(1\/60))**(2\/55))**(-2\/57) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*i - 124 = 157, -5*i - 43 = -k. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + a - 3 = 2*a, 3 = -3*a. Let f be (2\/(-208)*2)\/(-4 + (-162)\/(-36)). Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4228444 divided by 96101.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 449635 divided by -395?\nAnswer: -89927\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*c - 5, c = -3*x - 2 - 1. Is x equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuv when three letters picked without replacement from uuuvuv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 0.31. Let u = h - 0.1. Which is the third biggest value? (a) u (b) -0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5100*h + 69650 = -86287 - 58263 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1507235, 1507240, 1507245, 1507250, 1507255?\n\"Answer: 5*x + 1507230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 4267*b - 2915927\/2.\nAnswer: (b - 329)*(b + 8863)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 89235?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/(n**(-7)*n)*(n**(-28)\/n)\/n**(2\/3) assuming n is positive.\nAnswer: n**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 299, 22872 in descending order.\nAnswer: 22872, 299, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423393 is divided by 1616.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275937 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 80.61. Put 4, 3, x in decreasing order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -808599, -1617198, -2425797, -3234396, -4042995?\nAnswer: -4851594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(84)\/sqrt(48))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -0.35.\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6810 (base 10) to base 4\nAnswer: 1222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141.7*-3.\nAnswer: -3425.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 5. Let p be j(1). Let n be 0 - 4 - 50\/p. Calculate the highest common divisor of 17 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.63, -0.4, 0.2, -22, 3.\nAnswer: -22, -0.4, 0.2, 2.63, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.49 * 601694.\nAnswer: -896524.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.4862 decades in months?\nAnswer: 98098.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 s when three letters picked without replacement from soostpotottopteo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, s: 4, b: 2, h: 2, m: 2}. What is prob of sequence hbmm?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94 + 94 + 55*o**2 + (o - 2*o**2 - o)*(0 - 2 + 0).\nAnswer: 59*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is e67 (base 16) in base 11?\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*r**5 - 8035*r**4 + 2690*r**3 + 5360*r**2 = 0. What is r?\nAnswer: -536, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -70. Let p(s) = 5*s + 43. Let o be p(v). Is 3 a factor of 2\/(1 - o) - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 = 3. Let w(l) = -15*l**2 - 6 + 2 + 4*l - 17 + 6. Let q(k) = 4*k**2 - k + 4. Let a(u) = 9*u - 50. Let c be a(8). Determine c*q(g) + p*w(g).\nAnswer: -2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340\/7 + -49. Let t = 36\/35 + i. Which is smaller: 2\/5 or t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 642 - 586. Calculate the highest common divisor of 868 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 228 = 102 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/95, 3, -0.016?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000103645983 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110101 (base 2) to base 13.\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 30*g - 135. Let q be n(34). Let f = -94 - -93. Sort -42, q, f in descending order.\nAnswer: q, f, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 12\/5)\/(6\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13ca7a (base 16) in base 8?\nAnswer: -4745172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 263, 269, 295, 347, 431, 553?\n\"Answer: d**3 + 4*d**2 - 13*d + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -28, 0.9, -7, 0.36?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1255567 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69026 - -120995. What are the prime factors of s?\nAnswer: 3, 17, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/6)\/u)\/u)\/((u\/(u\/((u*u**(1\/6))\/u))*u)\/u)*(u**(-2))**(-1\/8)*((u\/(u*u**(-2\/9)))\/u)**2*(u**(-2))**(3\/2) assuming u is positive.\nAnswer: u**(-239\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.484 times 0.1294?\nAnswer: 0.0626296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 27*i - 111. Let w(r) = 88*r - 333. Calculate 10*q(z) - 3*w(z).\nAnswer: 6*z - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 10610?\nAnswer: -31830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-15)\/(-240)*12)\/2\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 5:09 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103.4 at most -8.5686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*n**2 - 368*n**2 + 1135*n**2 + 7 - 345*n**2.\nAnswer: 99*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p - 2*x + 32, -190*p = -192*p - 2*x + 32 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 469648376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(21)*-1*-1)\/(sqrt(3) - 2*sqrt(75)).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 804960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-14))\/(5570\/(-557))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u**3 + 10*u**2 + 14*u + 27. Let l(s) = -7*s**3 + 7*s**2 + 9*s + 18. Let y(f) = 7*l(f) - 5*o(f). What is the tens digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 1 (c) 987\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 46\/3, -1\/6, -2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 5)*(-27 + 27 + 2*y).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6095 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 7*h = 3*a - 207, 0*h + 6*h - 5*h - 81 = 2*a for h.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. What is the tens digit of (-73)\/(4\/q*(-2)\/20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 11:02 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 157?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 7*v**4 - 93*v**3 - 3672*v**2 + 59292*v - 69984 = 0?\nAnswer: -24, 9\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - o**3 - 3*o**2 + 3*o**2 - 2*o**3 + o**3 - o**3 + (0*o**2 - 5*o**2 - 3*o**2)*(o + o - 3*o).\nAnswer: 5*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h. Let v be ((-1)\/(-2))\/((-2)\/(-8)) - -22. Let p(q) = -v*q + 0 + 2 + 11*q + 10*q. Give a(p(i)).\nAnswer: 6*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9. What is the units digit of 104\/(-16)*(h + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-1\/2))*q**(2\/31)\/q*q*q\/(q*q**(-2\/3)\/q*q)*q**(-4\/7) assuming q is positive.\nAnswer: q**(859\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3422\/(-181366))\/((-2)\/(2\/(-2)))?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 - 8*g**2 + 8*g - 3. Let f be l(5). Suppose -j + f = -5*j. Let a = -106 - j. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100011011011001110 (base 2) in base 12?\nAnswer: -283466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4 - 86*u - 234*u.\nAnswer: -320*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 4. Let l be v(6). Let m = -32\/3 + 11. Let o be 3*(-1 + 8\/7). Which is the nearest to m? (a) 0 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqxqxqxqxxxqqoqqqxx. Give prob of sequence xxqq.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 119350 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:05 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -18, -52, -122, -240, -418?\n\"Answer: -2*h**3 + 4*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**3 - 57*d**2 - 466*d + 5032. Determine f(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4413 times 15\nAnswer: 66195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*917.7\nAnswer: 3670.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11206, -10544, -9886, -9232, -8582?\n\"Answer: -2*x**2 + 668*x - 11872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -35*d**2 - 1890*d + 1880. Let q(s) = -3*s**2 - 172*s + 171. Let o(t) = 4*a(t) - 45*q(t). Factor o(b).\nAnswer: -5*(b - 35)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus 1267912852?\nAnswer: 1267912839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 - 17706*b**2 + 17706*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 118.6. Let v = 2.59841 - o. What is v rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010101010100001011 (base 2) to base 7.\nAnswer: 2653544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6334 - 14511 = -11*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*8\/12. Let k(j) = -11*j + 3. Let a be k(-3). Is a - 2\/(q + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43604202 to the nearest integer?\nAnswer: 6603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 30. Suppose k - 4*p - p + o = 0, -15 = -4*k + p. Solve -25 = 2*l - 5*t, -1 - 4 = k*l - t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642355401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*-2 - sqrt(5)) + ((sqrt(125) - 1*sqrt(125))**2 + sqrt(125) - sqrt(5)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 5*r - 4. Let g be z(3). What is the tens digit of 25\/g - (-3)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -222*t + 66. Let f be m(6). Let k = 1881 + f. What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 881, 6943, 23409, 55481, 108361, 187251, 297353?\nAnswer: 443869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 17 - 20 = 0. Suppose 9 = 5*d + m*j + 1, 5*d = -5*j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7720180 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 63000 = -25*y. Let l be ((-57)\/(-9) - -2)*y. Round l to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let g(z) = 9*z. Let u(m) = g(m) + 6*o(m). Let a(w) be the first derivative of 1\/2*w**2 + 0*w - 15. Give a(u(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 + 8*d - 2. Let h be j(2). Is -3 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39230 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -83, -20, 0, 4, 70 in increasing order.\nAnswer: -83, -20, 0, 3, 4, 6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 13*t + 10. Let k be d(8). Let i = -7925\/12 - -658. Calculate the common denominator of (k\/(-280))\/(12\/885) and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8470885.9999925 + -8470897. Let t = 11.29 - 0.29. Let r = o + t. What is r rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028407 to 6 decimal places.\nAnswer: -0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32946 * -0.24484.\nAnswer: -0.0806649864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/35, 34, 5\/164, -3 in descending order.\nAnswer: 34, 3\/35, 5\/164, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 118926858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129416202283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = 1. Suppose 9 = u*x + c, -x + c + 4 = -c. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(32) + (sqrt(288) + sqrt(288)*2 + sqrt(288))**2 + sqrt(2) + (sqrt(2) + 4 + sqrt(2) + sqrt(8) + sqrt(2) + -1 + sqrt(2) + 0)**2.\nAnswer: 33*sqrt(2) + 4689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*p + 69*p + 35*p)*(-2 - 3 + 4 + 0 + 3 - 6 + (-5 - 2 + 3)*(6 - 1 - 4) + 4 - 2 - 3).\nAnswer: -1323*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 333 or 32858\/99?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4.02. Let i = -3.98 + b. Let d = 3.9 + i. Sort 5, d, 0 in ascending order.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*i + 3*i, g = -i - 7. Let d be g\/(-6)*(11 + -1). What is the derivative of -2 + 5 - 3*a**4 - d*a**4 wrt a?\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.1 (b) 1\/2 (c) -3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcoccffc. Give prob of sequence co.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 45 = l, -26*l + 28*l - 25 = 5*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + 20111?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 793095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1522 + -1483. Let m be (-9)\/n*-100*14\/21. Let -m - 40\/13*b - 2\/13*b**2 = 0. Calculate b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6034, 17560, 40076, 79078, 140062, 228524, 349960?\nAnswer: 509866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5800 and 360644.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = -80. Let d(q) = q**2 + 1. Suppose -2*l + 6 = -5*s, 0 = 3*s - l - l + 6. Let t be d(s). Solve 3*b = t - f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3316 or -3324?\nAnswer: -3316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 6*t - 12. Does 20 divide i(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487 = -162*w + 2239 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*k - 7 + 14 = 2*k, 5*r - 3*k = -20 - 15 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**6\/120 - j**5\/60 + 7*j**4\/24 - 10*j**3\/3 + 63*j**2 - j. Determine r(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 0*x**5 + 0*x**6 + 0*x**2 + 0*x + 12 - 23\/3*x**3 + 0*x**4 - 22\/7*x**7. What is the third derivative of f(q) wrt q?\nAnswer: -2640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 23*d**4\/12 - d**3 + 3*d**2 - 8*d - 2. Let p be 0\/(-2) + (-30)\/(-10). List the prime factors of o(p).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 740 + -563. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 50 = -5*l, 0 = 2*q + 2*q + 20. Suppose -l*t + 15 = -6*t. Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/1*4\/10. Suppose -z = -o + 6. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 24*z - 3*o = -1, 0 = -4*z + 9*o + 25 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2543529 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 658543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2162982864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haakgkkvnkvv. What is prob of picking 3 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 30, 33, 36?\n\"Answer: 3*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1492\/(-32*17\/(-476)*2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 2*c + 28, 16 = -57*y + 60*y - 2*c for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025282794589 to six dps.\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15197470 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -1179\/10. Let s(z) be the second derivative of 0*z**2 + 1\/60*z**6 + 1\/6*z**4 + 0*z**3 - i*z**5 + 0 + 2*z. Factor s(f).\nAnswer: f**2*(f - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5.2. Let o = -0.036 - -0.336. Sort n, -0.1, 3, o in decreasing order.\nAnswer: 3, o, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {c: 4, p: 3, r: 2, e: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 12:51 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17434, 69698, 156790, 278710, 435458, 627034?\nAnswer: 853438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(17)*6*-1 + ((sqrt(102) - (sqrt(102) - -3*(sqrt(102) - sqrt(102)*-2))) + sqrt(102))\/(sqrt(294) - (sqrt(294) + sqrt(294)*-3 - sqrt(294))).\nAnswer: -3 + 124*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:34 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1700000. Let t(x) = -2 + 5 + 0*x + x - 6. Let i be t(3). Let f be a(i). What is f rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose t + 4 = 3*v + j, 0 = -3*t - 3. Find the third derivative of v*g**2 + g**4 + 0*g**2 - 2*g**2 wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a = 51*a - 48. Calculate the least common multiple of 10 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 1. Let u(b) = b - 8. Let o be u(6). Let k(r) = 4*r**2 + r - 3. Let a(d) = o*k(d) + 5*n(d). What is the units digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**3 - 5*m**2 + 228*m + 2. Let d(z) = 5*z**3 - 3*z**2 + 228*z + 3. Let y(u) = -2*d(u) + 3*l(u). What is the second derivative of y(n) wrt n?\nAnswer: 30*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -353, -525, -695, -863?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 3*w**2 - w + 3. Let n = 86 - 83. Let d be x(n). Solve d = -0*i - 3*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 906 = 4*z, -1648 = -2*l - 5*z + 170. Calculate the greatest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183 is divided by 87.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -87. Is (-19047)\/(-2) - -2 - (-30)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*6\/45 + 93\/10)\/((-3)\/10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from ytyybbyggebyy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*s + 3*s + 9924, 0 = 3*j - 3*s + 7443. Let t = 1101 + j. What is the common denominator of 41\/4 and (-2 + 63\/32)\/(30\/t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4039040 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((0 - -5) + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329311 is divided by 286.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t - 3. Let l be u(3). Suppose -m = a, -5*m = l*a - 2 + 6. Sort m, 1, -3 in descending order.\nAnswer: 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14683936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 72, -25*b + 50*b + 3*i - 107 = 2*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k - 6. Let d be b(6). Let n = 42 - d. Calculate the greatest common divisor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*f - 2*v + 1787, 1314 = 3*f - 5*v. Suppose -118 + f = 5*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -36 - 24 - -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:26 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26859 is divided by 1279.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8464 rounded to one dp?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95141496 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 23*f**2 + 23*f - 24. Let w be k(-24). What is the nearest to w in -1\/4, 0.4, 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 2 - 2)*(4 + b + 1 - 3 + (2 - 14 + 4)*(0 + 0 - 2*b)) to the form x*b**2 + d*b + w and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 419288, 419286, 419290, 419300?\n\"Answer: 3*u**2 - 11*u + 419296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 1, q: 4}. Give prob of sequence ee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26, 1\/6, 1\/7, -3, -15\/7, -4\/3, -5?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 41 = -23 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1705775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 81877.76 micrometers in kilometers?\nAnswer: 0.00008187776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - -1.74. Let i = 6.7 + -6.4. Let t = j - i. What is the nearest to -1 in 0.1, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -109*u + 2616. Let i be c(24). Factor 0 + i*l + 2\/9*l**2.\nAnswer: 2*l**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/32092 and 83\/1420.\nAnswer: 160460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + (sqrt(98) + (sqrt(98) - (sqrt(98) + 2)*3) + sqrt(98))*1*-4)*5)**2.\nAnswer: 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -l. Let t be ((-2)\/(-6))\/(l\/18). Let w be 22\/(-12) + (t - -1). What is the second smallest value in w, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 9, i: 1, h: 2, g: 1, q: 2}. What is prob of sequence gph?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3 - 1) + 4 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3622608607.\nAnswer: 1217, 2976671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385411 is divided by 2658.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008447402 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = 2*q. Let u be 1\/(-1) - (1 + q). Let t be (-6 - -3 - u) + 2. Solve 5*y - d - 4*d + 20 = 0, 0 = t*y + 4*d + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 884334, 1768529, 2652760, 3537045, 4421402, 5305849, 6190404, 7075085?\nAnswer: 7959910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - 0 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -998 (base 14) in base 4?\nAnswer: -131222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -32516670 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 346120?\nAnswer: 346124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005884 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-4)**2*-5 - 2*(sqrt(1088) - (-1 + sqrt(1088) - sqrt(1088))).\nAnswer: -87042 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2215*i**3 - 14*i**2 - 832. Let z(x) = -x**3 - 7*x**2. Let t(f) = -b(f) + 2*z(f). Differentiate t(p) wrt p.\nAnswer: 6639*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n - 36*n - 31187972 = -3*w, -4*w + 3*n + 41584021 = 0. Round w to the nearest one hundred thousand.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810.33 rounded to the nearest 10?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 5*p + 3. Let r be j(-5). Which is the third smallest value? (a) 7 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/9)\/u*u)\/(u\/u**6*u))\/((((u*u*u**0*u*u)\/u)\/u)\/u)**(-9\/7)*u*u**(-4)*u*u**(4\/7)*u*u*(u\/u**(2\/5))**(-4\/15) assuming u is positive.\nAnswer: u**(9323\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 19*t**2 - 49*t + 23. List the prime factors of b(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 13*x - 13. Let q(y) = 2*y**2 + 6*y - 6. Give 13*q(k) - 6*t(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 16, -2*f - 2*o + 22 = -0. Let r be (-2)\/(-6) + (-5)\/f. Solve -20 = -5*c - r*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4924275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86285411 is divided by 10785675?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1613 + -1611. Let z(w) = 7*w**2 - 3*w - 3. Let f(l) be the first derivative of -l**3 + l**2\/2 + l + 2. Give x*z(g) + 5*f(g).\nAnswer: -g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -6. Suppose -18 = 3*f - 3*k, -k = 4*f + k + 6. List the prime factors of 9*f\/v*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 - 165. Sort -4, q, 1 in decreasing order.\nAnswer: 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-272)\/10 + 3\/15. Let x = g - -30. Solve -u + 13 = -4*o - 6, x*u - 13 = o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -12 - -21) + -22 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**2 + 5*s**2 + 7*s**2 + (-3*s + 4*s + s)*(s + 1 - 1) - 69*s**2 + 249*s**2 - 49*s**2 + 279*s**2 + 203*s**2 + 7*s**2 as o*s**2 + k + j*s and give o.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52442.\nAnswer: 2, 13, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 33*i**2\/2 + 51*i + 44. What is the derivative of p(g) wrt g?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, 1\/4, 0 in descending order.\nAnswer: 1\/4, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + l**2 - 5*l + 2. Suppose -9*x + 2*x = -28. Let t be w(x). Let n = -54 - t. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 113.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -130?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i**3 - 50*i**2 - 263*i - 62. List the prime factors of d(-11).\nAnswer: 2, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 24. Let x be u(8). Let o = x + -4. Suppose i + 5*r = 2, 2*r = -6*i + 3*i + 19. Calculate the remainder when o is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**8\/6720 + c**7\/2520 - c**4\/12 + c. Let r(k) be the third derivative of i(k). What is the third derivative of r(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w + 8*w + 0 - 2 + 2. Let d(n) = -3*n. What is -d(i) - 3*r(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 65, 66, 67, 68, 69?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-51)\/(-16))\/((-4)\/((-64)\/6))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - ((-2)\/(-5) + 5887\/(-5)). Suppose 0*g - a = -2*s - 2*g, g + 2916 = 5*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 5*m - 2*m)*(334 - 781 + 2525).\nAnswer: -12468*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -18. Suppose -o*v = -5*v - 165. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 - 133\/(-171). Let a be (2\/8 - p)*16\/78. Let b = 12 - 14. Sort a, b, -3.\nAnswer: -3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 + -171.5. Which is the closest to -5? (a) 2\/5 (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -722, -1448, -2188, -2930, -3662, -4372?\nAnswer: -5048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34022 - (-3 + 2)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100101100010100101 (base 2) in base 8?\nAnswer: -2454245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjuiloi. What is prob of sequence kk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72624788 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/12 - 13\/12. Do 7 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*y**3 - 24*y**3 + 27*y**3)*(-66*y - 7 + 0 + 16 - 9).\nAnswer: 4026*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-140)\/(-180) + -17 - -16. Sort r, -0.4, 1\/12, 1\/10, 1 in ascending order.\nAnswer: -0.4, r, 1\/12, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/33)\/(-2))\/(103 - (-25813)\/(-249)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u + u)*(477*u + 19605 - 19606 + 42*u) in the form y*u**2 + i + r*u and give y.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Let o(p) = 2*p**3 + 3*p**2 - 2*p - 6. Let i(v) = -5*v**3 - 10*v**2 + 7*v + 17. Suppose 8*d + 73 = 9. Let r(h) = d*o(h) - 3*i(h). Determine r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3 + 1, g - a - 2 = 0. Let p = 2317 + -2314. Solve q + g = -p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/4 - d**3\/3 - d**2\/2 + 1. Let w(h) = 6*h**3 - 14*h**2 + 7*h - 2. Let i(f) = -2*s(f) + w(f). Factor i(y).\nAnswer: (y - 2)*(2*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -3*b**3 + 9*b + 3. Suppose 0 = 5*t + 3*h - 39, -3*h + 14 = t - 1. Let m(n) = -4*n**2 + 4. Determine t*s(q) - 14*m(q).\nAnswer: 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23182.\nAnswer: 2, 67, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**8\/560 - s**7\/40 + s**6\/120 + 7*s**5\/40 + 40*s**3\/3 - 31. Let c(z) be the third derivative of k(z). Factor c(f).\nAnswer: -3*f*(f - 1)*(f + 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7818 + -7791. Let 1\/3*z**2 + 6*z + y = 0. Calculate z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose 4*d + 6 - 18 = v. Suppose 4*j**2 - 8 - d*j - 6*j**2 - 5*j = 0. Calculate j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 18*x - 20*x - 8, 4*x = -2*q - 4. Sort -5, x, 124, -1 in decreasing order.\nAnswer: 124, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 51646*o + 51051. Calculate a(-1).\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -9*q + 4*y + 9, 0 = -5*q - 5*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 95*o + 94*o - 13, -17 = -5*i + o. Let j(b) be the second derivative of -1\/30*b**6 + 0*b**3 + 0*b**5 + 0 - 10*b + 0*b**i + 0*b**2. Factor j(f).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Let z(b) = 4*b**2 - 3. Let x(y) be the third derivative of -y**5\/12 + 2*y**3\/3 - 3*y**2 + 2*y + 1024. What is p*x(i) - 4*z(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270746?\nAnswer: 2, 7, 83, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n - 2*n)*(-2*n**3 - n**4 + 19*n - 19*n)*(-1 - 9 + 3).\nAnswer: -7*n**5 - 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 70*t - 288.\nAnswer: (t - 144)*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 51856?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -5*d**3\/6 + 53*d + 12. Let p(s) be the second derivative of -5*s**4\/12 - s. Calculate w(p(b)).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1914 by 6.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14406 and 882.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1820233*n**3 - 4954938*n?\nAnswer: 10921398*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 596 - 594. Let k = 5 + -2. Solve b*p = p - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/110 - f**4\/33 + f**3\/33 - 15*f. What is q in k(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64722 and 67344.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114\/5 + 23. Which is the second smallest value? (a) -23 (b) -1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 + 59. Suppose -8 = 6*n - h. Let y(u) = -u**3 - u**2 - 2*u - 1. What is y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23257946.28 to the nearest one hundred thousand.\nAnswer: -23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 491083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, 90, 8, 379 in increasing order.\nAnswer: -2, 0, 3, 8, 90, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*sqrt(17) + -2)**2.\nAnswer: 56*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x**3. Suppose 0 = n - 4*t - 0 + 17, 3*n - 2*t = -11. Let c be b(n). Let y be 4\/(-22) - 35\/c. Solve -r - 5 = -y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 145 = -c + f, 5*c - 761 = -f. Let z = c + -282. Let u = z - -188. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*z - 24, -2*z + 3*s = -32 + 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 22. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 26.58163 micrometers?\nAnswer: 0.00000002658163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 = 0, 13662 = 5*u - 2*y - 8107. List the prime factors of u.\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 6. Let x(c) = -5*c**2 + 5. Calculate 5*q(r) + 6*x(r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, b: 1, f: 5, x: 5}. Give prob of picking 1 b, 1 f, and 2 x.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 - 1 + 1 - 3*h + 4*h to l*h**2 + f + o*h and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 36 + 11 - (-20 + 41)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 436921 and 13220.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 + 2 = 0. Let w(n) = -n**3 + 3*n**2 + 2*n + 4. Let m be w(3). Let t be (21\/7)\/(m\/2). What is the closest to 2 in v, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151.7 - 16145925.\nAnswer: -16146076.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 < 407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fge when three letters picked without replacement from {f: 6, e: 2, g: 2, s: 4, v: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 6*b = 4*b - 4*a, 3*b - 5*b - 5*a + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9405*t**2. Let j(a) = a. Determine j(l(h)).\nAnswer: 9405*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(4\/11)*x*x))\/(x*(x**(-1\/11)\/x)\/x*x))\/(x**(2\/7))**(-2\/25) assuming x is positive.\nAnswer: x**(-2406\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:07 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1360 and -27\/340.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y - 3*v + 249, -v = -4*y + 347. What is the remainder when 1275 is divided by y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9713, -4, -91, 3, 4 in ascending order.\nAnswer: -9713, -91, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 376 - 390. Suppose 16 = 3*r - 2*a, 2*r - r + 4*a = -4. Sort j, -5, r in increasing order.\nAnswer: j, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113209638*-0.3\nAnswer: 33962891.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10641*y**3 + 3*y**2 + 2*y - 24. Let u be z(7). Round u to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -161.4, -0.1, 0, 4, -1589 in decreasing order.\nAnswer: 4, 0, -0.1, -161.4, -1589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(432)\/(sqrt(12)*1))\/sqrt(12) + sqrt(12)\/(sqrt(36)\/(1*sqrt(9)))*3)*1.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.04, -4, -8, 1\/8, 329?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1190\/11, 13.8, 90, 1\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prirxpdd. Give prob of picking 2 d and 1 r.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -70*h + 123. Let c(a) = 103*a - 183. What is 5*c(v) + 7*m(v)?\nAnswer: 25*v - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z - 14*z = -81 - 111 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*(z*z\/(z\/((z*z**1\/z)\/z*z*z))*z*z*z)\/z))\/z)**(-31)*z**(1\/2)\/z**(-2\/5))\/((z**(-1)*z**(-1\/3)\/z)\/(z\/z**(1\/2))**(1\/34)) assuming z is positive.\nAnswer: z**(193033\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 4, k: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*w**3 - 75*w**2 - 2126*w wrt w.\nAnswer: -156*w - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -0.3, -1, 0.2 in decreasing order.\nAnswer: 124, 0.2, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/14)\/(38\/133). Let q = 18 - 12. Let r = q + -8. Which is the nearest to -1\/2? (a) o (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84127 < 84126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*q**2 + 608*q**2 - 322*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 103*x**2 - 2*x + 2. Let a(z) = 2*z**3 + 102*z**2 + 3*z - 3. What is -2*a(o) - 3*h(o)?\nAnswer: 2*o**3 + 105*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1744*r + 83. Is j(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0*m**3 + 4*m**2 + 0 + 1\/30*m**5 + 1\/20*m**6 + 0*m + 1\/8*m**4. Let q be r(-3). What is q rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 18306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-9) + 6\/(-2). Suppose 2*p - 30 = -3*p + 5*a, 3*p - 12 = a. Factor p*h**2 - o*h - 2\/3.\nAnswer: (h - 1)*(9*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25416787146760 + -0.3.\nAnswer: -25416787146760.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 102 + 38 = 0. Let q = -19 - a. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22\/5)\/((-14)\/70). Let y = g + 39. Is y equal to 84\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9301350 by 3100450.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 15*x + 627690 = 8*x. What are the prime factors of x?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -111\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {y: 3, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 194. What is the nearest to 0 in -2\/7, 3, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121210221 (base 3) in base 6?\nAnswer: 403511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -13\/3*n**3 + 0*n**2 + 0*n + 64. Let u(g) = -4*g**2. Give k(u(h)).\nAnswer: -208*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8861834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5213017559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 33*y + 56. Let w be x(-18). Suppose 1\/3*m**4 + 2\/3 + 1\/3*m**3 - 1\/3*m - m**w = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 5*d = -4*s + 337, 2*d = 4*s + 710. Is -176 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -4) + (-8 + (2 - (-24 - -12)) - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 504\/6851?\nAnswer: 504\/6851","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34259, 33975, 33691, 33407, 33123, 32839?\nAnswer: 32555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 + -109. Let z(t) = -t**2 + 20*t + 39. Give z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57902732.\nAnswer: 2, 14475683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 1685465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - h + 44 = -50, -3*h + 18 = -v. Let g = 80 + v. What is the remainder when g is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169819300\/2697 - -62966. Let y = -2675\/29667 - g. Let r = -5 - -9. Put y, -4\/7, r in ascending order.\nAnswer: -4\/7, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.113 times 4?\nAnswer: 3028.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 444924 = -5*f. Let n = 21022712\/189 - f. Let s = 5\/27 - n. Which is the biggest value? (a) -0.2 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -65.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q\/(q\/(q**3\/q)))\/q*q*q)*q\/q**2)\/((q**(-6\/11)*q)\/q**(-2\/3)))\/((((q*q**(-4))\/q)\/q)\/(q\/(q\/(q**(-2\/7)\/q))))**0 assuming q is positive.\nAnswer: q**(-169\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 16. Let y be k(11). Suppose 4*j + 9 = j + 5*x, x = 4*j - 5. Find the third derivative of 5*o**2 - 5*o**j - 20*o**y - 7*o**2 wrt o.\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 741 + -24455\/33. Which is the closest to 0? (a) -0.4 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - z + 4*z + (0 + 0 + 3*z)*(-2 + 2 + 2 + 3 + 1 - 3 - 2 + 3 + 1 + 2 - 1 - 3 + (2 - 3 + 2)*(0 + 1 - 3))*(3 + 2 - 3).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*u, u = -73*a + 78*a + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3752, 3850, 3948, 4046, 4144?\n\"Answer: 98*o + 3654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(3) - (sqrt(3) - (sqrt(3) + -1))).\nAnswer: -6*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -15. Let v be (6\/(-4))\/((-6)\/8). List the prime factors of v\/(-10) - 421\/h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3445\/13681 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from {v: 1, u: 3, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 - 4*g**3 + 2*g + 0*g**3)*(38*g - 5*g + g).\nAnswer: 68*g**4 + 68*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Suppose 0 = 4*j - 3*o - 11, 3 = j + 2*j + n*o. Let l be (4\/(-24))\/(j\/(-4)). What is the second biggest value in l, 4\/5, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4327082.\nAnswer: 2, 23, 109, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 0, 33*b = 30*b - 4*x - 24. Is (-12273)\/b*1\/(12\/16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x = 47 + 65 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312066, -312069, -312072, -312075, -312078, -312081?\nAnswer: -312084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*q**2 + 279*q.\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 4 (b) 9 (c) -182\/9 (d) 1\/18 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1149?\nAnswer: 574.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7*1 + (4392\/(-1080))\/((-3)\/5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/(3\/42*126\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3\/5 - 68*w**2\/5 + 192*w\/5 + 16128\/5 = 0.\nAnswer: -24, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6544494?\nAnswer: 2, 3, 11, 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 622681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/8 - 771*a\/4 - 18528.\nAnswer: -3*(a + 128)*(a + 386)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g = 189875 + 16576. Does 31 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116 * -0.29.\nAnswer: 33.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2, -1, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 5 + (-6)\/(-3). Suppose -3*a = -d*a. Suppose a*t + t = -8. Which is greater: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/2 - 9*w**4\/4 + 51*w**3\/4 - 39*w**2\/4 - 9*w\/4 + 3 = 0. Calculate w.\nAnswer: -4, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -746, -1159, -2208, -4211, -7486, -12351, -19124?\nAnswer: -28123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19404 and 8542072?\nAnswer: 76878648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, -1, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 315 = 4*h. Let i(y) = 28*y**2 + 3*y - 3. Let a be i(3). Is 60\/h*a\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u. Suppose -2*w + 168 = 4*j, -w + 126 = 3*j - u*w. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-24 + 21) - 24?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15771 = -0*w + 4*k, 3158 = w - 3*k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 159?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2042.31 + -186.71. Let z = i - 2017. Let q = z + 129. What is q rounded to 0 decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -4 + -11 + 6 + (1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17\/5 (b) 1\/4903 (c) 3 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.9769 to 0 dps.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 19. Which is the closest to 2? (a) 1 (b) -4\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 231 (b) 92 (c) -0.5 (d) -420 (e) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 3, e: 4, y: 5, l: 1, c: 1}. Give prob of picking 3 b and 1 y.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g, 4*g - 744 = 4*o - 8*o. List the prime factors of o.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -32, 35, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111011000011011 (base 2) to base 14.\nAnswer: -34bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(650)*-2 - sqrt(650))*5)\/(sqrt(320)\/sqrt(250)) + -3)*2)**2*-3.\nAnswer: -5484807\/4 - 6750*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 716929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*(-4)\/(-12)*-3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/8 + (-2)\/(-8). Let y(s) = s**3 + 3*s**2 - 3. What is the tens digit of y(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 17 = -4*v, 2*p = 4*p + 10. Let x be -12*3\/v*(-1)\/(-3). Solve -3*d - 3*z - x = 0, 3*d - 1 = 3*z - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 9382836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17454331.\nAnswer: 19, 53, 17333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368495 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 76 divided by 7\nAnswer: 76\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11158*s + 22324*s - 11162*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 30 - 3 = 0. Suppose -o*d = -15*d + 1224. Let b = d + -161. Calculate the highest common factor of b and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 32*j**2 + 2*j - 3. Let n = 16 - 15. Calculate the remainder when d(n) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (3*10\/(-5))\/(20\/(-2380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2. Let c(s) = 1. Let w(y) = 16*y - 2. Let h be 27\/(-36) + (-1)\/8*2. Let x(t) = h*w(t) - 2*c(t). Calculate x(q(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 + 3264*l**2 - 283892*l + 3537480 = 0.\nAnswer: 15, 82, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + -3 + (-7 - -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/13, -2\/3, 1\/57?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430 and (-4)\/(-10) + (-324)\/60 + 14?\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1210867 or -1210716?\nAnswer: -1210867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001199 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/12 + 97\/3. Suppose -2*v - o = v. Is (-6 - -5)*3*v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-4 + 5) - (394 - 413)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 153. Which is the closest to 2\/5? (a) -2\/15 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 65*b**2 - 291485*b + 112100 = 0.\nAnswer: 5\/13, 4484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -9875 (b) 0.2 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 16, 3*j + 4*d - 14 = 4*j. Let u(k) = -4*k**j + 29*k - 29*k. Let l(m) = m**2. What is u(l(q))?\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2)*37\/((-2109)\/152)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 752 and 89206?\nAnswer: 713648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14688632 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: In base 4, what is -10210 + -310233233?\nAnswer: -310310103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 383797061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1783, 1787, 1793, 1801, 1811, 1823, 1837?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 654 - 541. Let d = h - 106. Put 3, d, 0.5 in decreasing order.\nAnswer: d, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Suppose -t = -q*t + 12. Calculate the remainder when 10 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2179243884 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*y - 36*y + 117. Let x(k) = -3*k. Let b(m) = -m**2 - 4*m - 1. Calculate y*x(c) + 2*b(c).\nAnswer: -2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(68) + 2)**2*5.\nAnswer: -20*sqrt(17) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*d*d**(-1\/5)))\/d)\/(((d*d*d\/d**(5\/7))\/d)\/d*d))\/(d**(-1\/6)*d*d**8*d*d) assuming d is positive.\nAnswer: d**(-3133\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -1\/12*n**6 + 2 + 0*n - 1\/6*n**3 + 0*n**2 + 1\/8*n**4 + 1\/10*n**5. Factor c(m).\nAnswer: -m**2*(m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 13. Suppose d*s - 451 = 5*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -3, 28 in increasing order.\nAnswer: -3, 28, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*s - 369*s - 170 = -2*c - 732*s, -263*c = -3*s - 1214 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(50)*-3)\/(sqrt(54)\/(sqrt(81)*6 - sqrt(9))).\nAnswer: -51*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*w**3 + 673*w - 124899 wrt w.\nAnswer: -192*w**2 + 673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 12 = -10*s, 0 = 3*t + 2*s + 20. Let y(l) be the second derivative of -140*l**3\/3 - 21*l**2\/2 - 3*l. Is y(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*n + 23 = 0, -103*r + 11 = -104*r + 3*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -10011?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 2}. What is prob of sequence sv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 - x**2 - 4. What is the tens digit of v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 22, 66, 4, 0.01, 1\/9 in decreasing order.\nAnswer: 66, 22, 8, 4, 1\/9, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107692 minus -2?\nAnswer: 1.9892308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwzyqzwq. Give prob of picking 2 q, 1 y, and 1 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -33. Sort 2\/11, -1\/2, -2, v in descending order.\nAnswer: v, 2\/11, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 2, m: 1, f: 1, y: 2}. What is prob of picking 1 f and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.098, 48, -0.11 in decreasing order.\nAnswer: 48, 5, 0.098, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2554.8 or -1\/3?\nAnswer: -2554.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 22*r + 173. Let z(m) = -20*m - 171. Let k(i) = -5*w(i) - 4*z(i). Let s be k(-6). Sort s, 1, 0, -6 in descending order.\nAnswer: 1, 0, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i - 0. Suppose 0*k - 12 = 3*k. Let t = 9 - 8.9. What is the closest to t in k, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267969 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3400 - 2040. What are the prime factors of q?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.652 from 0.0591.\nAnswer: -0.5929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giybf. Give prob of picking 1 b, 1 y, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -8 + -107 + 46 - -110?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162288 and 4794.\nAnswer: 129668112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 8*i**2 - 29*i + 8. Let a(w) = -3*w**2 + 10*w - 3. Give 8*a(g) + 3*h(g).\nAnswer: -3*g**3 - 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (64\/(1 + -5))\/((9 - 4) + -6). Solve -g*u - 8*u - 144 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130455 + 2?\nAnswer: -130453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 989 * 0.23\nAnswer: 227.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 64.\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 232*a**2\/7 + 3736*a\/7 - 62560\/7.\nAnswer: 2*(a - 10)*(a + 34)*(a + 92)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2414 is divided by 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {d: 14, x: 2, c: 1, y: 2}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:08 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*g - 4*k, -2*k = 4*g + k. Suppose -g*u + 0*u = 0. Let a(o) = 16*o - 126. Let t be a(8). Solve -t*w + 5*w = u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1291128.\nAnswer: 2, 3, 23, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -127266227.3?\nAnswer: -127266227.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(-2\/7)*m)*m)\/m*m)\/m)**(8\/9)\/((m*m*((m*m\/(m*m**1*m*m))\/m)\/m)\/m)**(3\/16) assuming m is positive.\nAnswer: m**(-73\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -576 - -1256. Suppose h*c - 678*c = 464. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 12*o + 57, -4*h - 4*o = -3*h + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 2021483?\nAnswer: -4042966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 75*u**2 + 281*u + 208. Let p be r(71). Is 46 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 0 (c) 1306 (d) -2\/107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1473 - 47697. Round u to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = -28. Suppose 0 = -u + 7*u - l. Suppose u*i + 2*r - 12 = 40, 2*i - 76 = 4*r. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3260 is divided by 274.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/68 and 37\/119?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 5659*n**7\/42 + 29*n**4\/4 - n**2 + 3514*n. What is the third derivative of f(u) wrt u?\nAnswer: 339540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 1, e: 1, s: 2}. What is prob of sequence sbn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 28904640.49804?\nAnswer: 28904645.49804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ecc1f (base 16) in base 10?\nAnswer: -6212639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -22. Let t = -572\/5 - -114. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 + 0 + (-435)\/75.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*0.13\nAnswer: 0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from bbbubocusqbouououbb?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, 16, 49 in descending order.\nAnswer: 49, 20, 16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 207*x**2 + 7*x - 6. What are the prime factors of q(2)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 19*a**2 + 8*a - 5. Let o be c(-18). Suppose -4*z - z = -o. What is the third derivative of z*r**4 - 2*r**4 - 7*r**4 - 11*r**2 wrt r?\nAnswer: 624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 - 741*j\/4 - 67507.\nAnswer: -(j + 646)*(j + 836)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2740*o = -2738*o + 14, -o - 7 = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j - 12 = 0. Does 8 divide (2*4)\/(6\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816400 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 21.95, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11 (b) -1050 (c) 5\/6 (d) 7 (e) 33 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 63. Suppose 4*a - g = -3*u, -5*a = -6*u + 2*u. Suppose -2*j = -u*x + 91, 4*x + j = -j + 62. Solve 0 = -5*k + 3*c - 23, 4*k - c + x = -0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*r**2 - 1110*r**2 + 288*r**2 + 285*r**2 + 289*r**2 - 64*r.\nAnswer: -10*r**2 - 64*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*q = 743 + 13614 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 417 + -7922\/19. Which is the nearest to i? (a) -2\/5 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -131. What is the common denominator of (10\/160)\/(s\/(-237)) and 64\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -25. Let c be (j\/(-15))\/((-6)\/(-15)). Suppose -m + 3*m + 4 = 2*r, 5*r - 3*m = 16. Solve 0 = -c*a + r*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12496 and 12?\nAnswer: 37488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10157856 and 3648?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 160*r**2 - 307*r**2 + 142*r**2 - r**3 + (3 - 3 - 2*r**2)*(-3*r + 5*r - r).\nAnswer: -3*r**3 - 5*r**2 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s + 6. Let l(c) = 15*c - 13. Let g(m) = 6*l(m) + 13*w(m). Let t(i) be the third derivative of -i**5\/60 + 33*i**2. Give t(g(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170094 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7184, -7019, -6854, -6689, -6524, -6359?\n\"Answer: 165*k - 7349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*g = -4*t + 84, 158 = 4*t + 3*g. Let d(f) = -2*f - 29. What is the remainder when t is divided by d(-21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 10:57 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/14 + 15*(-1)\/(-35). Solve d*s + 3*i - 7 = 0, 3*i + i = 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 139116\/30 + (-2)\/10. Let l = 18639\/4 - s. Let r = -328863\/181424 + 2\/11339. What is the common denominator of r and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7949.269 and 6.7916.\nAnswer: -7942.4774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(245) - (-2*sqrt(125) + sqrt(125))) + -4*((sqrt(60)\/(sqrt(36)\/sqrt(3)) - sqrt(5)) + sqrt(5) + -4*sqrt(20) + sqrt(5)))**2*-6.\nAnswer: -5070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 6, u: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-274)\/(-30) - 2\/15. Let a be l\/3 - 3 - -3. Let z be a + 12\/((-12)\/(-3)). Solve -3*k = -z*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 39 = 18*a - 24*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/(-109915)*-89 + ((-427)\/13 - 1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 11 - 10 + 47. Calculate the lowest common multiple of 4\/(-6) + (-132)\/(-9) and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17876.5083 seconds to weeks.\nAnswer: 0.02955771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10265 + -10243. Calculate the remainder when 6533 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*(-20)\/15. Solve -2 = -7*r + 3*r - o*n, n = -5*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w + 3 - 14*w**2 - 10*w**2 + 36*w**2 - 13*w**2. Let m(i) = 2*i**2 - 11*i - 3. Let x(d) = -4*m(d) - 5*s(d). Let x(n) = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l - 6 + 3*l + 0 - 6*l. Calculate the smallest common multiple of k(-5) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -27*o**2. Suppose -2*b - 2*i + 6 = -i, 2*i + 4 = 4*b. Let k(l) = 5*l**2 - 5*l**b + l**2. Calculate k(f(a)).\nAnswer: 729*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.94 + -0.06. Let o = -14 - y. What is the nearest to 2 in -4\/7, o, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 - 2*t + 3*t + t.\nAnswer: 8*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1842, -0.05, 2, -1, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/89650 and 52\/225.\nAnswer: 806850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**9\/72 - 4*l**7\/105 - 13*l**5\/30 + 84*l**2. Find the third derivative of t(i) wrt i.\nAnswer: 840*i**3 - 192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -18.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319\/345 + -14\/15. Let t = -233\/345 - m. Suppose -3*s = 0, 2*s + 5 = -0*n - n. Which is the third smallest value? (a) t (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/927272)\/((-341)\/8). Let v = -321111627753\/395249690 - g. Let f = 4081\/5 + v. Find the common denominator of -59\/14 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + 354\/15. Let t = 25 - m. Solve -t = -w - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1a99?\nAnswer: 1a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9\/7))**(-10)*(n\/((n*n\/(n**13\/n))\/n))**(-10\/7))**(-12\/17) assuming n is positive.\nAnswer: n**(360\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 + 22073*c**4 + 1549013*c**3 + 22084551*c**2 - 176714136*c + 287770428 = 0. Calculate c.\nAnswer: -38, 3, 22143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11119127*f**3*x**2 + 977*f**3*x - 3*f*x - 26 wrt x.\nAnswer: 22238254*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-5 + sqrt(605) + 0))**2 - 3*4*sqrt(5)*2*6)*6.\nAnswer: -17364*sqrt(5) + 94500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 2*y + 1. Let f(m) be the first derivative of m**3\/3 + m**2\/2 + m - 8. Give b(u) + f(u).\nAnswer: 3*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 4*p - 5*p)*(-6*p**2 - 25*p**2 + 3*p**2 + (0*p + 2*p + 0*p)*(-2*p - p + 6*p) - 2*p**2 - 5 + 5).\nAnswer: -96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -3787\nAnswer: -378.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 10:10 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - sqrt(200)*4)\/sqrt(10) - -4*(sqrt(5) + sqrt(50)\/sqrt(250) + sqrt(5)))**2.\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.8 - 36. Let i = j - 0.2. Is 3 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:12 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 21*x + 115. Let r = 27 - x. What is the smallest value in -3, r, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-9)\/b)*b)**22\/(b**(-6\/17))**(-1\/13))**(-6\/7) assuming b is positive.\nAnswer: b**(-50004\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-4\/17)\/o)\/(o**26\/o))**45)**(2\/3) assuming o is positive.\nAnswer: o**(-13380\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s + 1. Let b(g) = -2*g + 1. Give 2*b(u) - z(u).\nAnswer: -11*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -10*k + 12. What is the remainder when 62 is divided by 39\/k*(-2)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -666 + 15521?\nAnswer: 14855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 8. Let g be 10\/15*(1 + 2). Let a(t) = -4 - 2*t - 2*t + c + t**g. Determine a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.061688.\nAnswer: 0.30844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*t = 1278*t + 1047*t - 54454 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-9))\/(1\/3). Let p be -2 + -2 - (-65)\/15. Factor k + j + p*j**2.\nAnswer: (j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201020110 (base 3) to base 7.\nAnswer: 55614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 2*k = 50. Suppose 0 = k*w + 242330 + 1207670. What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1446 * -0.5\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 7*z**3\/6 + 17*z**2 - 34*z. Give x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((2 + -5 - -5) + -50 + 55).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605 and 116086190.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 240.804 and 3.\nAnswer: 722.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.528 + -0.028. Let v = o - 16. What is the closest to 2 in 0.2, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 + 1940*b**3 - 2*b**2 + 91*b + 45 wrt b?\nAnswer: 24*b**2 + 11640*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u + 8*u - 69*u = -1925. Solve u*a = -24*a + 26*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -1 - -8 - 2. Suppose -b*t + 3*l = -6, -l + 2 = 1. What is the remainder when (25\/(-3) + t)*-6 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 9:53 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -30 (c) -2\/45 (d) 6 (e) 5.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-36 - -44) + -17 + 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 2990?\nAnswer: 20930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3852 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (7 - 0))\/2. Let m = n + 8. Let r = 3 - 2. Calculate the lowest common multiple of r and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*f**2 + 4270*f - 3479963 wrt f.\nAnswer: -124*f + 4270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 14) in base 3?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/24 - 7*j**3\/6 - j**2. Let k(q) = -9 + 5 - 9 + 2*q. Let y(g) = 3*k(g) - 5*u(g). Determine y(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 16. Solve -p = -s - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {g: 8, z: 1, r: 2, p: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 318 and 424.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = -9. Suppose 0 = -4*i + i + t. Solve r = -2*s - i, 0*r = 4*r + s + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 11. Let j(m) = 5*m + 9. Let r(n) = 4*j(n) + 3*q(n). Let b(y) = -14*y - 9. What is -4*b(g) - 11*r(g)?\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 300, 588, 868, 1140, 1404?\n\"Answer: -4*b**2 + 300*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 85. Put 5, -0.1, c in increasing order.\nAnswer: -0.1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0494933 to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.158931ng to grams.\nAnswer: 0.000000006158931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -3\/5 (c) 0.3 (d) 1\/105 (e) -49 (f) -271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9450\/(-5))\/(-2) - 6\/2. Let h be (z\/(-13))\/3 - (-12)\/78. Which is smaller: h or -23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 3, k: 1}. What is prob of picking 3 k and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 3*g - 4*g)*(-4 + 4 - 2)*(5 - 2 - 1)*(23 - 50 - 13).\nAnswer: 640*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 9*z**2 + z - 10. Let p be g(9). What is the units digit of (-105)\/(-10) + p\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3645 = -3*l - 2*b, -4*b - 2132 = -4*l + 2708. Let a = l + -459. Is 113 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 788081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -30*h + 207. Let j = 629 + -8183\/13. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 8*w**2 - 7*w + 2. Suppose -g = -5*v + 30, g - 26 = -4*v + v. Let t be y(v). Calculate the remainder when 29 is divided by (6 - 0)\/(t\/5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 8*b + 38. Let x be ((-1)\/1)\/(b\/38). What is the tens digit of -7 + 4 + (-86)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1100).\nAnswer: -3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 964768 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/4)\/((-2965)\/(-740) - 4). Let b = -175 + m. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -2. Sort a, 4, 3 in increasing order.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*d**4 - 3494*d**2 + 250830 wrt d?\nAnswer: 148*d**3 - 6988*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1276? (a) -0.2 (b) 5\/2 (c) -0.3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97295 by 3.\nAnswer: 97295\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38*(-4)\/10*(-150)\/(-40). Let c be 0 + 54 + (-1)\/1. Suppose 0 = 5*k - c - v. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1083646*i**2\/11 + 64*i\/11.\nAnswer: -2*i*(541823*i - 32)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 1, 112, -2, 7 in increasing order.\nAnswer: -2, 1, 7, 46, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*w**3 + 11 + 1938*w**3 - 15 + 4.\nAnswer: 2783*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2375*c + 991*c - 1116*c = -751*c - 369123 for c.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 + (2 - -4)) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 12\/5*x + 2*x**2 + 2\/5*x**3.\nAnswer: 2*x*(x + 2)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 19161*a\/4 - 19149.\nAnswer: -3*(a - 6383)*(a - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18299.16 millilitres in litres?\nAnswer: 18.29916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3681.9 + 3439.47. Let d = b - -240. Let v = -0.27 + d. What is v rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2742 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2016*q**2 + 168 - 1012*q**2 - 1006*q**2 as o*q + b + g*q**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.595 times 0.4\nAnswer: 0.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g**3*h*s + 9*g**3*h + 9*g**3*s - g**3 - 3*g**2*h*s + 6*g**2*h + g**2*s + 35*h*s wrt g.\nAnswer: 72*h*s + 54*h + 54*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, w: 3}. What is prob of sequence cc?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, -2, 13, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596 is divided by 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 560 + -408. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 - 3 = 4*n, -5*b + 4*n + 15 = 0. Let t = 6 + b. Solve -4 = 4*c + 3*k, 4*k = 5*c + 2*k + t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -322215, -643942, -965669?\n\"Answer: -321727*c - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 721*a - 532*a - 2120*a.\nAnswer: -1931*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*m + 10 = 0, k + 3 = 3*m + 2*m. Let p(c) = -5*c**3 - k*c**3 - 5*c**3 - c**2. Let o be p(-1). What is the highest common factor of 99 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3. Let i(u) = -3*u**3 + 4*u**2 - 4*u + 4. Let n(l) = i(l) + 4*v(l). Let r(m) = -22*m**3 + 11*m**2 - 11*m + 11. Determine -11*n(g) + 4*r(g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*-182*(-700)\/(-40) is divided by 357.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254032881?\nAnswer: 3, 937, 90371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -382*l**2 - l + 2623. Let w(y) = -2. Let r(u) = t(u) - 7*w(u). Find the first derivative of r(x) wrt x.\nAnswer: -764*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 2 + 38 + -35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 37 = 343. Let r = h - -145. Calculate the least common multiple of r and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47772 is divided by 15918.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4534, -18090, -40692, -72346, -113058, -162834?\n\"Answer: -f**3 - 4517*f**2 + 2*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/315 and 27\/7.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 12258\/935?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 19*m**5 + 75*m**3 - 9*m**2 + 28*m**2 + 20*m**2 - 4*m**2 - 14*m**5 + 45*m**4 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-2) - (-3)\/6. Suppose 0*q + 3*q = -4*s + 43, s = 2*q - t. Suppose 5*d - 12 = q*d. Sort -1, d, 0 in decreasing order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/47, 114, 68 in ascending order.\nAnswer: -7\/47, 68, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -0.169, -23, -0.6 in decreasing order.\nAnswer: 3\/11, -0.169, -0.6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 462658039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(1065\/20)\/3. Suppose 0 = 3*v - 73 - n. What is the highest common divisor of 9 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19800911*v. Let f(j) = -6*j**2. What is f(n(w))?\nAnswer: -2352456458579526*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 44455.\nAnswer: 88910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*j - 5660, -2*j = 33*p - 38*p + 5630. Calculate the highest common factor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-12)*(-17)\/((-6545)\/(-42))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 8*a = 208. Let g = a + 38. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Suppose -4*d + 18 + 6 = y. What is the third derivative of -k**6 + 6*k**d + 4*k**2 - 2*k**6 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 56*y**2 - 100*y + 2057. What is k(57)?\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9+-0.336\nAnswer: 8.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*p + r = -16, 10 = 3*p + 5*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/3)*m*m*m**8*m*(m**(-1\/6)*m)\/m*m**(4\/3))**(-14\/9) assuming m is positive.\nAnswer: m**(-455\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1140 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 30*k - 126. Let f(x) = 5*x**2 - 29*x + 125. Let m(n) = 3*a(n) + 2*f(n). Factor m(g).\nAnswer: -2*(g - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-2 - 1 + 1) + 5 - 4 - 2 - 93 - 53 + 20)*(2*i + 6*i - 4*i).\nAnswer: -492*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1737 in 4\/7, -2, -4\/5, -12.8, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 4*l - 2*l - 15 - l.\nAnswer: l - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-18)*n*(n*n**(-4))\/n)\/(n*n\/((n**13*n)\/n)*n*n**(3\/10)) assuming n is positive.\nAnswer: n**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {t: 1, y: 1, w: 1, c: 2, h: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2614426340 to the nearest integer?\nAnswer: 51131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*z = -2, 4*z = 2*g - 3*g - 5. Suppose 0 = g*x - 3, 0*y - 2*x + 20382 = 4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 78 = -69. Sort -5, -4, n in increasing order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -43, -71, -131, -235, -395, -623?\n\"Answer: -2*n**3 + 2*n**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 28*q**2 + 127*q - 84. Give s(22).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2 - 295556*b + 548560.\nAnswer: -6*b - 295556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26845*q + 11952?\nAnswer: -26845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4101 is divided by 4075?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6640 - 6622. Solve q*v - 31*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + -17. Let a = 46 + c. Solve -a + 5 = -3*f, -3*w - 5 = -f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 8*h**2 + 17*h + 16. Suppose -4*q + 210 + 138 = 0. Let x = q + -74. Is y(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(0 + 2*y**4 + 0) + 4*y**4 + 0*y**4 - 5*y**4 - 7*y**4 - 44*y**4 - 6*y**4 to h*y + l*y**2 + x + r*y**3 + k*y**4 and give k.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2110 (base 3) to base 14\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125113 + 0?\nAnswer: 125113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z - 44. Let g be n(-14). Suppose 11 = d + g. Calculate the common denominator of (5\/d)\/(10\/(-4) - -3) and -59\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/5*c**4 + 12\/5*c**3 + 12\/5*c**2 + 0*c = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/3)\/(s\/(s*(s*s**(3\/2)*s)\/s*s)) assuming s is positive.\nAnswer: s**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*i + 20, 5*i + x - 12 = 4*x. Suppose i*w - 5 = 34. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:00 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.47, -2\/11, 1\/9, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, 7, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwr when three letters picked without replacement from rgdfw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1354 + 1761. What is the remainder when 1630 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-1\/3)*i)))\/i)\/(i**(-6)*i)*(i**(2\/3))**(2\/19)*(i**(3\/5)\/((i*i**(4\/7))\/i*i*i))\/(i*i**3*i**(-4\/5)) assuming i is positive.\nAnswer: i**(-289\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 7:16 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 451\/9 - 448\/9. Sort -3, -265, p, 0.5.\nAnswer: -265, -3, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, -0.5 in decreasing order.\nAnswer: 3, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - o = 4*w - 12, o = 4. Let i(d) = d**3 + 8*d**2 - 4*d + 5. List the prime factors of i(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1086271 < -1086272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/20 - q**4\/2 - q**3\/6 + 3*q**2\/2 - 4*q. Let n be u(6). Which is smaller: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/7956 and 29\/65324948.\nAnswer: 587924532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.009 + 65.991. Let n = r + -47. Let y = 19.00000036 - n. Round y to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 37544 times -1.6\nAnswer: -60070.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86\/225 - 4\/25. Which is bigger: y or -2\/27?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4395266.6 to the nearest 10000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1177 and -35.\nAnswer: -41195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -13. Is 7 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*h + 1856 = 3*t + 1848, 2*h = -t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4) - 2 - (-18 - (-490)\/42)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4384 + 4382. Let r = -8 + 7. Sort r, 3, u, 0 in increasing order.\nAnswer: u, r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 343920, 343915, 343910, 343905, 343900?\n\"Answer: -5*w + 343925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -2\/13, -10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:17 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 62.20737 meters?\nAnswer: 0.06220737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1314*p = -1298*p - 32. Solve u - s + 20 = 17, p*s = u + 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 + 24*p**3 + 36*p**2 + 16*p.\nAnswer: 4*p*(p + 1)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 840 is divided by 620.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024654493 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 10296560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 10. Let o = 34 + -27. Let n be j(o). Is -1*80\/(-1) + n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = 16*k + 65 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2835360 divided by -708840?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 18784*h - 37656*h + 18804*h - 11*h**2. Let x(a) = -4*a**2. Determine f(x(r)).\nAnswer: -176*r**4 + 272*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/(-2) - -1)*47688\/(-60).\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4494*q + 1527*q - 1514*q to g + k*q and give k.\nAnswer: 4507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by (-116)\/((-1)\/(4 - (-105)\/(-28))).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - c - 19, -13 = 178821*t - 178819*t + 3*c for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -260, -553, -1118, -2045, -3424?\nAnswer: -5345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let z(b) = 3*b - 92 + 87 + b + 16*b. What is x(z(u))?\nAnswer: -20*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsas when four letters picked without replacement from mamxsxxsss.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10903, 45149, 102225, 182131?\n\"Answer: 11415*k**2 + k - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8084\/5 or 1616?\nAnswer: 1616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95225 + -133775. Round g to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114285 and 5415.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*d - 6, 1 - 3 = 3*d - m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*(-97)\/(-97)*8\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3661276 (base 10) to base 8\nAnswer: 15756734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 5, g: 12}. What is prob of sequence gggg?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -462 + 494. Which is bigger: 37 or n?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 2. Let o(n) = -n**2 + 11*n - 3. Let a(b) = 5*i(b) - 2*o(b). Suppose 0 = -4*t + 20*t + 48. What is a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/2 - 2635*v**3\/2 + 11824*v**2 - 18382*v = 0. Calculate v.\nAnswer: 0, 2, 7, 2626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q - 5 + 6*q**2 + 282 + 4*q**3 - 11*q**2 + 0*q + 7*q**2 to h + a*q**3 + g*q + d*q**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 + x**3\/3 - x**2\/2 + 26*x. Calculate v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39137\/36 - -1087. Are -1 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 44*i**2 - 38*i**2 - 45*i**2 + 41*i**2. Let z(s) = -438*s. Determine c(z(d)).\nAnswer: 383688*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 144 = -5*l. Suppose -s + f + l = 0, -f + 48 = 4*s - 2*s. Is 18\/48 - (-4599)\/s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171598353 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*x = -384 + 1569. What is the nearest to -0.1 in 1\/5, 191, -4, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 157, 158, 159?\n\"Answer: j + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 18*t + 14. Suppose 4*l - 40 + 92 = 0. List the prime factors of a(l).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*k - 8 = 0, -6*t + 2*t + k = -14. Let x = 21 - 14. Let l = x - t. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l - i, -2*l - i = 4*i - 14. Suppose -6*s + o = -l*s - 88, -3*s = -o - 66. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -30. Let j be (-3)\/((-3)\/v - -1). What is the second biggest value in -5, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 4*q + 460, 2*q = 0. Suppose -3*m + i = -28. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 + 3*l**2 - 10*l**2)*(-4 + 3 + 3 - 3 + 1 - 4 + (0 + 0 - 2)*(3 - 6 + 1) + 1 + 2 + 0) to the form z + s*l**2 + n*l and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose -2*f + 29 = -k, q*f - 33 = -0*k - 2*k. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 2 p when four letters picked without replacement from {a: 1, p: 5, u: 1, y: 1, n: 4}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2*2\/(-4) - -13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -18. Suppose -l = -2*b + 9, q*l - 11 = l - 3*b. Let z(f) = f + 9. Determine z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 + 3. Let n be h(0). Let p(m) = m - 8. Let b be p(n). Let c(v) = 27*v**2 + v + 9. Is c(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (95*(0 - 2))\/(-2 + 0) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + 19*f - 5*f**3 + 7*f**2 - 6*f**2 as l + y*f**3 + n*f + u*f**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81 plus -0.44691748?\nAnswer: -1.25691748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 4. Let b be o(-4). Let j(a) = -3*a**2 + a + 0*a**3 - a**3 + 3 + b*a. Is j(-4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 64166802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 207?\nAnswer: -8\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 5 + 17)*(6 + 0 + 1) + (-1 + 5 - 2)*(1 - 1 + 2) - 2 - 8 - 1)*(a**2 - a + a) as x*a + q + r*a**2 and give r.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1344\/(-4284) + 2\/(-6) + (2 - 1).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 323504287.32879.\nAnswer: 323504287.42879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*m - 5*m - 2069, 5*r - 2*m - 10322 = 0. Calculate the least common multiple of r and 192.\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -38 + 7 - 2*s + 4 + 1. Let h be z(-15). Solve 0 = -4*b - 4*u + 5*u + 6, -h*b + 2*u = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-1320)\/(-4125))\/(1\/10))\/30)\/(2\/3)\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 105458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-1\/33)*m))**2\/((m*m\/m**(-1\/35))\/m)**(-20) assuming m is positive.\nAnswer: m**(4304\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -a - 107. Let y(i) = 7*i + 4. Let z(x) = 3*x + 2. What is a*y(s) + 5*z(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5600, 10927, 16254, 21581, 26908, 32235?\n\"Answer: 5327*p + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1644, -1647, -1652, -1659, -1668?\n\"Answer: -v**2 - 1643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 9, f: 4, d: 2}. Give prob of picking 1 d, 1 a, and 2 f.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 2*g = 0, 0*g = x - 3*g - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 371 - 379, -2*l - 3*m - m - 5 = 9*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 18*v - 2. Let f(b) = 2*b**2 - 18*b - 3. Calculate 2*f(y) - 3*t(y).\nAnswer: y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 10. Let u(o) = -o**2 + 3*o + 2. Determine u(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4014375 divided by 2141.\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 558928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**3 - 7*k**4 - 10*k**3 + k**4 - 4*k**5.\nAnswer: -2*k**3*(k + 1)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2471916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4215 (b) 3\/11 (c) 0 (d) -4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 h, 1 z, and 1 l when four letters picked without replacement from lllhlqlzwdl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (222\/(-30))\/((-1)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755 divided by 5.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 430 - 113. Suppose 0 = 16*i + b - 813. Let z = i - 19. Solve -z = -0*l - 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by (((-1)\/3)\/(132\/7227))\/((-5)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46908890599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66779832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvj when three letters picked without replacement from {o: 1, b: 1, c: 1, j: 5, v: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 21. Let i = -3308 - -3350. What is the highest common divisor of i and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(120)\/sqrt(5))\/sqrt(12) - (sqrt(2) + sqrt(20)\/(sqrt(30)\/sqrt(3)))*2.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 116749680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16253047431 - -70.81.\nAnswer: -16253047360.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/36*14\/(-35)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -16 (c) -6473.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 6, h: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -108. Put 1, i, 2, 3 in decreasing order.\nAnswer: 3, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*r**3 - 62600 + 62600.\nAnswer: -307*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-5\/6))**25)**(-1\/32))**(-3))**(-4\/15) assuming a is positive.\nAnswer: a**(25\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-4 - -3 - -3) + (271 - 255)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/3 of a decade?\nAnswer: 2840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.0561+0.003\nAnswer: -2.0531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 - (-1 - 1)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85093932.\nAnswer: 2, 3, 7, 11, 19, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -17. Suppose -15682 = -q*z - 2152. Suppose -32 - z = -6*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2. Let j(v) = -4*v + 21. Let y(i) = 7*i - 47. Let d(c) = 13*j(c) + 6*y(c). What is f(d(m))?\nAnswer: -400*m**2 - 720*m - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(6))\/(-1*sqrt(243) - sqrt(243)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.8. Let y = -3.17 + 6.17. Put y, 2\/5, f in decreasing order.\nAnswer: y, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-14))\/((-2)\/(-24)). Let v be 2\/((-3)\/s*1). What are the prime factors of 3\/3 - v - -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -579*i**3*r**2 - 11*i**3 + 43*r wrt r?\nAnswer: -1158*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeee. What is prob of sequence eea?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2. Let n(w) = w**2 - 7*w + 3. Let j be n(7). Let c(b) be the first derivative of 13*b**j - 11 - 1 - 10*b**3. Calculate c(k(a)).\nAnswer: 81*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - -1 - ((12 - (24 + 7)) + 34).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40810.\nAnswer: 2, 5, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -298550000 to the nearest one million.\nAnswer: -299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/6 - (-3)\/9. Suppose -4*d - 3*z = 2, 0 = -4*d + d - b*z. Let p(k) = -17 - 3*k + 7 + 12 + 5*k. What is p(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -35. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -27*u - 1. Let h be d(1). Let w = 63 + h. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4354640 and -41\/37540.\nAnswer: 4354640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i - 25. Calculate the remainder when (-2 - -3) + 26*1 is divided by q(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (585\/(-455))\/(96\/80*-5)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2132 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9228706?\nAnswer: 2, 4614353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3050064, 3050077, 3050098, 3050127?\n\"Answer: 4*d**2 + d + 3050059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + 3 + (1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -1 + sqrt(13))**2 + 1*sqrt(117) - (-2 + (sqrt(117)*1*4)\/sqrt(9)).\nAnswer: -27*sqrt(13) + 2200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -751038, -751024, -751000, -750960, -750898?\nAnswer: -750808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oookakk. What is prob of picking 1 a and 3 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**8)**16)**(-13))**(-1\/5) assuming v is positive.\nAnswer: v**(1872\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944)*-5 - (sqrt(384) + sqrt(384) + -3*sqrt(384) + sqrt(384)))\/((4*(2*sqrt(144) - sqrt(144)) + sqrt(144))\/(-3*sqrt(60)\/sqrt(5))))**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.1 + 6.031. Let j = d - -0.059. Is -4 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/((-8)\/6 + 5\/15). What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l + 20. Let d = 3 + l. What is the remainder when 27 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffsy when four letters picked without replacement from ffsyf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99 and -3.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-27) - 10\/(-15). Let r = -160 + 160.021. Let h = r - 0.321. Which is the closest to o? (a) 1\/4 (b) h (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/(w**0*w) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -62*s**4 + 67*s**4 + 10*s**2 - 5*s**2 - 10*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(0\/(-1))\/(-17 - -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 39. Suppose 6*y = -b*y - 9. Sort 3\/5, 0.5, y, 5\/3 in ascending order.\nAnswer: y, 0.5, 3\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4 = -4*q, -16*v + 13*v + 4 = q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1594 + -5?\nAnswer: -1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -269928*c + 307996?\nAnswer: -269928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:11 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:22 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(-5) + (-6)\/30. Suppose -n = -4*n + v. Suppose n*m + 264 = 6*m. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171\/2 - 87. What is the closest to 1\/2 in 4, -1\/2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 - -130. Suppose b*q + 72 = 240. Calculate the smallest common multiple of q and 69.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471193?\nAnswer: 471193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -13*q + 23. Let o(y) = 16*y**3 + 5*y**2 - 3*y - 6. What is the tens digit of o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 548 + 286. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 + -107. Let o(c) = c**3 + 10*c**2 - 12. Let d be o(-10). What are the prime factors of 4\/(-12) - r\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12019*a*q**3 - a*q - 86*q**2 wrt q.\nAnswer: -72114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 60\/119?\nAnswer: 60\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5 - 4*x + 12 + 0*x + 3*x. Calculate the common denominator of -46\/15 and o(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.19\nAnswer: -0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**2 - 655*k - 7. Let h(y) = 3*y**2 + 327*y + 3. Give -5*h(i) - 2*o(i).\nAnswer: 3*i**2 - 325*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 155, -120\/23, -1\/25, 0.2?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 9 = -3*p, -p = 4*t + 8 + 3. Suppose -44 = -5*c + c. What is the greatest common factor of c and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 871 and 522756?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/6 + v**3\/3 + v**2. Let u = -923 - -926. Let c(m) = 4 - 4 + m. Calculate u*c(r) + n(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 971 + -803. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000111 + -111011001010100?\nAnswer: -111010101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/21)\/((-5)\/(-27)). Are k and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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 11 (base 3) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.34 - 1.34. Which is the nearest to l? (a) 2 (b) -4\/3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/99*9 + (-16)\/6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, l: 6, q: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3699 = -303*d + 17493 + 101523. Calculate the greatest common divisor of 120 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6007?\nAnswer: 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*p + 294 + 534 = -2917 - 1448 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639611 - 3*b - 1918882 + 2*b + 639620 + 639619.\nAnswer: -b - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1b?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -35 - (-14 + 5)) + (-8 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 14*y + 15. Let b(a) = -10*a - 19. Let v(w) = 7*w + 12. Let x(s) = y*b(s) + 7*v(s). What is x(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**9\/3780 + y**5\/40 - y**4\/4 - 2*y. Let h(b) be the third derivative of k(b). Differentiate h(v) with respect to v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -28*s - 42. Determine d(6).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:30 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6089*h - 90845 = 268406 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055726 to seven dps.\nAnswer: -0.0000557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 778508\nAnswer: 11677620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 3*z + 2. Let i be b(-3). Let r(m) = 4*m**2 - 5*m**i - 2*m + 2*m. Let x(n) = -2*n. Determine r(x(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-195)\/156)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4314 + (-126)\/(-24) + 2\/(-8)?\nAnswer: 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*j - j. What is the common denominator of 1 - (63\/(-4) - 0) and 68\/6*(-21)\/j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/76628 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + ((sqrt(1539) - (-3*sqrt(1539) - sqrt(1539)))*-4 - (sqrt(1539) + sqrt(1539) + -1 + sqrt(1539)*-2 + sqrt(1539)))**2*-5.\nAnswer: -3393507 + 1890*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3230436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 33. Let m be n(12). Solve m*x + 18 = 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237786210.\nAnswer: 2, 3, 5, 701, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23116, -23139, -23172, -23221, -23292, -23391, -23524, -23697?\n\"Answer: -u**3 + u**2 - 19*u - 23097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -4572, -15972, -38314, -75246, -130416, -207472, -310062?\nAnswer: -441834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 5. Let o be s(5). Let q = 10 - 5. Suppose -q*r + o*a = -2*a - 34, 5*r + 3*a = 49. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/40 in -1\/5, -16, -4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/34*(-1)\/1*26. Suppose -j = 3*d - 6*j + 31, 0 = d + 3*j - r. Let x(n) = -2*n**3 - 4*n**2 - n + 2. Determine x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -322, -854, -1600, -2554, -3710, -5062?\n\"Answer: p**3 - 116*p**2 + 29*p + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605a (base 15) in base 13?\nAnswer: 9343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -324, -3, 6, 19, -10.\nAnswer: -324, -10, -3, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 2*w + 6*w)*(-5*w**4 - 2*w**4 - 12*w**4).\nAnswer: 19*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*a - 3. Let p = 54 + -32. Let t = -22 + p. What is the nearest to t in -1\/6, 3\/8, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1123542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 9*t + 28. Let i be d(-6). What is the derivative of -i + 2*z - 5*z + 0*z - 2*z wrt z?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 - x - 6*x**2 + 3*x**2 + 3*x**2 as a + v*x**2 + f*x and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a microsecond in nanoseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.5, 1038, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*-2 + -1 + -2*sqrt(252)*2 + sqrt(252) + sqrt(252))*4)**2.\nAnswer: 576*sqrt(7) + 36304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (-1 - -1) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5065614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + 1611.\nAnswer: 1610.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*b + 13894 = -217*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 3848*t**4 + 76659*t**3 - 378952*t**2 - 76660*t + 382800 = 0?\nAnswer: -1, 1, 10, 3828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*n - 0. Let u(a) = -2*a**2 - 2*a**2 - n*a**3 + 5 + 4*a - 2 + 2*a**3. Give u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = s. Let k = s - -1. Let u(r) = r**2 + 12*r - 85. Let c be u(-17). Solve c = k*y + 5 + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u - 6*u - 32*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0557 and -0.03514.\nAnswer: 0.001957298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 s when four letters picked without replacement from rabksrrbxbarrar.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1034*p**2 + 3 - 1 - 536329*p + 536328*p + (6*p**2 - 4*p**2 - 3*p**2)*(-3 + 1 + 3) to w + s*p + x*p**2 and give x.\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -231900 divided by -60?\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/3 - 830*s**4\/3 + 82310*s**3\/3 + 262050*s**2 + 801360*s + 808992 = 0. Calculate s.\nAnswer: -3, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-56)*38 + 4\/(-14). Let u(z) be the first derivative of -z**3\/3 + 7*z**2 + 3*z + 2. What is the common denominator of -29\/9 and u(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12235 and 13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (6\/(-7))\/(4\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 270\/108 - (0 + (-4)\/(144\/(-94))). What is the second biggest value in l, 0, -41?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -14. Suppose -5*t = -2*h - 15, -s*h = -0*h. Calculate the remainder when (-54 - (1 - t))*-1 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3475 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 47*j - 136. Let r(g) = 70*g - 203. Let o(a) = -8*d(a) + 5*r(a). Let u be o(5). Which is bigger: -58 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 8:42 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**11)*a*(a**(-14)*a)\/a*a)\/(a**(2\/13)*(a*a\/(a\/((a\/(a\/(a*(a**(-8)\/a)\/a)))\/a))*a*a*a)\/a))**(3\/37) assuming a is positive.\nAnswer: a**(-630\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -36564200 rounded to the nearest 100000?\nAnswer: -36600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*x - 56 = -295*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from hmah?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*n - 21, 2*n - 2*t - 27 = 3*t. Suppose 8 - 21 = -4*w - c, -w - 3*c = -6. Sort n, -1, w in increasing order.\nAnswer: -1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 40*n**2 + 14*n - 346. What are the prime factors of m(-29)?\nAnswer: 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**2\/3 + 949*i\/3 + 3335\/3.\nAnswer: (i + 115)*(8*i + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 133 + 1\/((-3)\/9). Suppose 25*b - 114 = 657 - 146. What is the highest common divisor of r and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - a + 13 = -10*x, a = 41*x + 4*a + 226 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.5 - 12. What is the closest to -0.1 in 4, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70330576 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - (0 - 0\/2). Let y(j) = -2*j + 7. List the prime factors of y(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861307583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 964620 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -2 (b) 38\/9 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 22 + 50 = 0. Let z be (26 - 0)*(-33 - 10)*1. Let y = z + 1185. Calculate the remainder when y is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-23 - (-9 + 1 - 0)) + 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 14 = -1, -2*a = -4*f - 88. Let s = a - 14. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*x + 10, 3*s - 2*x - x - 81 + 96 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/14451 and 71\/27.\nAnswer: 130059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54550294 and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1595, -29985, -107037, -257081, -504447, -873465, -1388465?\n\"Answer: -4055*h**3 - h**2 - 2*h + 2463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)*u*u**(-4))**(-37)*((u**3*u)\/u**(3\/11))**8 assuming u is positive.\nAnswer: u**(7338\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.948194 to two decimal places.\nAnswer: -3.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-960)\/(-200)*(-20)\/(-6). Solve 3*b - x = 2*w, 10 + 11 = -5*w - 2*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 101.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, g: 3, n: 3, w: 1}. What is prob of picking 1 w and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 2*i + 2. Let f be a(-2). Suppose n - d - 2*d = -9, 0 = 2*d + f. Is n less than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 356 + -71. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27544062 and 44226?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1585254 - 522850.\nAnswer: -2108104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4259 + -4256.719. Let j = 0.019 + w. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 57*v + 28*v + 3 - 4 + 21*v. Let u be t(1). What is the greatest common factor of 42 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17046899249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00653574 to 4 decimal places.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -326 - -302. Let m be -3*y\/18 + (-82)\/20. Which is the biggest value? (a) m (b) -0.4 (c) -2 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101100011101 (base 2) in base 7?\nAnswer: -241466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 7*v**2 + v - 4. Suppose -f - 20 = 4*k, 0*k + 3*k = -3*f - 15. What is the units digit of n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 + 660*c - 21780 = 0. What is c?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 9*z**2 + z + 3. Let v be p(9). Let g(n) = -n**2 + 12*n - 1. Let a be g(v). List the prime factors of 7 - -21 - (-2 + a).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-124)\/(-220) + 4\/22. Suppose -933 = -a*p + 510. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Suppose f = -r + 4*y - 1 + 9, 4*r - 17 = y. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/15 - 50*l**4\/3 + 7886*l**3\/15 + 782*l**2 - 313296*l\/5 - 267912 = 0 for l.\nAnswer: -6, 15, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 330*k + 28 + 661*k - 332*k.\nAnswer: -k - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230 and 251260?\nAnswer: 5778980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 + 203 = 3*k, -p = -2*k + 9. Let h = -10 - -14. Solve 2 = h*u - p*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + 5 + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**17*m)\/m**(-2\/17)*m**(1\/11)*(m\/m**(-2\/87))\/m)**(-39) assuming m is positive.\nAnswer: m**(2911987\/5423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5595737 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2245568 to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6540*f**3 - 13103*f**3 + 6550*f**3.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 622.4 - 622.3. Sort -53, -3, r, -0.3 in decreasing order.\nAnswer: r, -0.3, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14825\/8 + 104159\/56. Factor -2\/7*f**3 - 8*f + h + 20\/7*f**2.\nAnswer: -2*(f - 6)*(f - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62549052 divided by 3679356\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-1))*w*w*w)\/w*w**(1\/5))\/(((w*w\/((w**(3\/2)*w*w)\/w*w)*w)\/w)\/w*w**(-2\/9)) assuming w is positive.\nAnswer: w**(353\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 0.3\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 70*w - 18. What is r(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3562, 7120, 10676, 14230, 17782, 21332, 24880?\nAnswer: 28426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -630195 - -5?\nAnswer: -630190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2790650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 151087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 28 = -3*n + 2*l, -l = 5*n - 21. Suppose -n*k + 8*k - 7346889 = 0. Suppose -3751037 - k = 2*a. Round a to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 9. Let r be m(6). Let 122*z**2 - 4 + z - 120*z**2 - r*z = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(7\/5)*g**(-9\/5)*((g*g**(-1\/16)*g)\/g)**(1\/2) assuming g is positive.\nAnswer: g**(11\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/(-35))\/(((-280)\/(-210))\/(28\/(-6))). Let v(i) be the second derivative of -2*i - 1\/2*i**2 + 0 + i**3. What is v(b)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -31. Suppose 6*y - 72 = p*y. Calculate the greatest common divisor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 3*u**2 - 3*u. Let r(t) = -2*t**3 - 7*t**2 + 7*t. Let v = -71 + 75. Let l be (-3)\/(-3 + 2) + v. What is l*i(w) + 3*r(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 510690?\nAnswer: 51068b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(847)*-1 - (-2*(sqrt(28))**2 + -2).\nAnswer: 58 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 46. What is the remainder when 18 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/(-209)*(-22)\/40?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114323 + 120204?\nAnswer: 234531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.05 + -0.05. Let n = 3 - h. What is the biggest value in 0.1, n, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m + (1 + 3 - 1)*(-m + 3*m + m))*(-1 - 2*m + 1).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 less than -15469?\nAnswer: -15745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00125432 rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.7 - 31.69204. Round m to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, k: 8, r: 1, p: 4}. What is prob of picking 1 p and 1 k?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 20 + (4 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + z - z)*(-4*z + 5*z - 3*z) - 6*z**2 + 3*z**2 + z**2 + z**2 + 16081 - 17149 + z**2 as b*z + c*z**2 + l and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -4)*(-4 - -1). Suppose 3*p - z*d - 36 = 0, 2*d + 11 = 4*p - 45. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -67 + (-108 - -13) + -15\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -23. Let l be (-20)\/8 - (-2)\/4. Let o be (-12)\/54 + l + 38\/9. What is the greatest common divisor of o and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 69*j = -65*j + 63, -4*w + 3*j - 14 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 35884*a**2 - 1116968*a - 6481440.\nAnswer: 4*(a - 36)*(a + 5)*(a + 9002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/10 + 9*n**3\/5 - 91*n**2\/10 - 24*n\/5 + 198\/5.\nAnswer: (n - 3)**2*(n + 2)*(n + 22)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5, -3*x = 3*j - 5*j + 5. Let s = -8 - -14. Let t be (-42)\/18 + (-4)\/s. Sort j, t, 5.\nAnswer: t, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 719, -1, -19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/16 and 5\/24704?\nAnswer: 24704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12*j - 2. Let b(y) = 5*y - 22. Let q(a) = -4*a + 8. Let z(w) = 5*b(w) + 14*q(w). Give z(u(n)).\nAnswer: -372*n + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let w = -278 - -149. Let f = 383\/3 + w. Is f < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2, 1, 10.54 in decreasing order.\nAnswer: 10.54, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5420.44 from 1.09543691.\nAnswer: -5419.34456309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3887 + 3887 + 8*h + 77*h)*(-1 - 3 + 2).\nAnswer: -170*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/5 - 423*a**2\/5 - 14697*a\/5 + 15123\/5 = 0. Calculate a.\nAnswer: -71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 7, -2, 109 in descending order.\nAnswer: 109, 7, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*q + 5 + 9, 2*q = -8. Let d = 8118\/6665 + -24\/1333. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 6*m**2 - 12)*(6*m - 5*m + m) + (-1 - 3*m + 1)*(2 - 2 + 2*m**2).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101000 - -1000?\nAnswer: -111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203.1 or -1431?\nAnswer: -1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 2*o + 2. Let s be z(2). What is the second derivative of -2*l**3 - 49*l**2 + 6*l**3 - 2*l**3 + 67*l**s + 6*l wrt l?\nAnswer: 12*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -3*a + 2, 4 = 5*a - j - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 4:19 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -452.8 - -460.2. Put -0.2, 2, b, -1\/4 in decreasing order.\nAnswer: b, 2, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*w**3 + 271*w**2.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3*p**2 + 0*p**2 - 2*p**3 + 4 - 3*p**4 - p in the form j*p**3 + a + n*p**4 + z*p + t*p**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*c - 57 = m, -5 = -5*c. Let y(t) = t**2 + 18*t - 51. Let p be y(3). What is the greatest common factor of p and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/33 and -37\/1713.\nAnswer: 18843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1 + 63\/42)*(6 - 46\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32231716 and 822?\nAnswer: 96695148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000234877058 rounded to 6 decimal places?\nAnswer: -0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4960357 to the power of 1\/2, to the nearest integer?\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 182.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 7. Let z be g(5). Let r be z\/((-21)\/(-9) + -2). Suppose 5*b - 5*a = 16 + r, 11 = b + 2*a. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.6 (c) -3.25641 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7732.\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.041 - 0.459. What is the nearest to -0.1 in -1, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -81085 take away -1.4?\nAnswer: -81083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9416479 milliseconds in minutes?\nAnswer: 0.000049027465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(1 - (-2)\/3). Let n be ((-8)\/(-50))\/((-6)\/k). Let m = 6 + -5.7. Which is the third smallest value? (a) m (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-77)\/(-44)*(-6)\/(-14). Which is the second smallest value? (a) -0.1 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 * 0.11\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/2515997 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 42*o**2 - 272*o + 7. Let i be g(34). Solve -i = h + 2*w, -2*h - w - 18 = -7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 10*t**3 + 19*t**3)*(-2*t + 3*t + 0*t) + t**4 + 4*t**4 - t**4.\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 4) to base 15.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-18)*45\/(-30). Factor 0*x - l*x**4 + 2*x**3 - 3*x**2 + 0.\nAnswer: -x**2*(x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (2 + 44 - 3) + -1. What is the highest common factor of 189 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44328?\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 9 - 85 = -4. Calculate the smallest common multiple of 390 and n.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 5*j + 5. Let o(g) be the second derivative of -g**4\/12 + g**3\/2 - 3*g**2\/2 - 33*g. Give -5*o(v) - 3*y(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12398022 and 332514?\nAnswer: 86786154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5708*v**2 - 5715*v**2 + 11432*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -20297665023\nAnswer: -20297665023.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100110200 (base 3) in base 8?\nAnswer: -63732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 25\/6*a**6 + 0*a**2 + 0*a**4 + 21 + 0*a**5 - 2\/3*a**3 + 0*a. What is the third derivative of w(x) wrt x?\nAnswer: 1500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c1 (base 16) to base 3.\nAnswer: -121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-615)\/(-82)*(-22)\/1925*-15.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 34. Let m(f) = f**2 - 19*f + 21. Let q be m(l). What is the third derivative of -10*r**5 - q*r**2 + r**2 - 5*r**5 wrt r?\nAnswer: -900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3485 less than -3486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*b + 407*b - 2*m = -29, -51 = -3*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7298564 and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2141\/28 + 307\/4. Let r = -0.1 + 0.1. What is the closest to -0.1 in -4, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/46 and 40\/7.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24444 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - 47 + 9*p**2 - p - 15*p**2 + 0*p**2 as a*p**2 + t + j*p and give t.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 320, 644, 970, 1298, 1628?\n\"Answer: m**2 + 321*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 11 + 1. Let o(i) = 2*i**2 - 4*i + 2. Let z be o(3). Let y be 11 - (40\/(-5))\/(-1). Sort z, -5, y, l in ascending order.\nAnswer: -5, l, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/10)*x*x*x**13*x assuming x is positive.\nAnswer: x**(159\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -25 - ((6 - 2) + -3). Let h = c - -22. Is 14 a factor of -51*((-4)\/(-3))\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37787695 - 2?\nAnswer: 37787693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4985294330 to the nearest integer?\nAnswer: 70607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 35023 = -5*m - 3*f, -m + 6971 = -4*f. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t - 22. Let k be 19*(-4)\/24 - (-2)\/12. Let f be y(k). Let b(g) = -g + 2. What is b(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91001637 and 891.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (14 - 3510\/(-6))\/(3*5\/11415) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 291, -3, 4, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 42296052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -0.5, -9, -0.23?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401181600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -2. Let x be -2 - (2 - (-116)\/(-32)). Let z be (2\/(-5))\/(9\/(-5)). Which is the nearest to r? (a) 5 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 8. Let l be k(0). Suppose -q - 4*y + 200 = 4*q, -3*q + 5*y = -120. What is the highest common divisor of l and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(17) - (sqrt(136)\/sqrt(4) + sqrt(34))\/sqrt(2)) + -2 + sqrt(17) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1628*s - 185889 = 1499*s. What is the highest common divisor of 66 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (26 - (16 - -6) - 2).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3011017\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s**3 - s + 10*s**3 + 2*s. Let o(d) = d**3 - 3*d**2 - 1. Let r = 1 + 2. Let u be o(r). Calculate b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 - 53*r - 4. Let u(y) = -y**3 - 1. Calculate g(k) - 4*u(k).\nAnswer: 2*k**3 - 53*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8524 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-12012)*22)\/(((-18)\/42)\/3).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 + 8*a + 4. Let l be w(-7). What is the units digit of ((-121)\/2)\/(1*l\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/10)*((i\/(i\/(i\/(i\/((i*i\/(i\/((i*i**9\/i)\/i)))\/i*i*i))))*i)\/i)\/i)**14 assuming i is positive.\nAnswer: i**(651\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 4*z + 11. What is the remainder when 291 is divided by o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131561585.\nAnswer: 5, 97, 271261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148*((-1)\/(-3) + (-7)\/84) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2384\/48 + 1\/3. Suppose -10*o**4 - 4*o**5 - 96*o**3 - 128*o**2 + 60*o - m*o - 74*o - 22*o**4 = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y + 6. Let h be q(3). Let w be 1\/6 - (1 + 833\/h). What is the highest common factor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k = 74*k - 545. Solve -k*m = -7*m + 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (35 - -2 - -1) + (1744 - 1758).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -0.08, -2, 1\/4 in descending order.\nAnswer: 1\/4, -0.08, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.0589 (b) 4\/3 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -25*b - 316. Calculate u(-21).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-11 - (-4 + 2). Let y be ((-3)\/2)\/(4\/(-16)). Is i\/y*(-268)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n - 46. Let r be s(10). Find the third derivative of -2*g + r*g**3 + 27 - 16*g**2 - 27 + 3*g wrt g.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhhh when four letters picked without replacement from {l: 4, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 335*m**2 - 19097*m + 113. Give a(57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7775523 and 996?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480851025.\nAnswer: 5, 59234041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, 67, 79, 105, 151, 223, 327?\n\"Answer: g**3 - 2*g**2 + 3*g + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from qzalkoz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 28*f + 787. Calculate a(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 10*l**2 + 18*l - 16. Let x be m(8). Is -1\/87 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38163 + -9170. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 - 80*d**4 - 618*d**3 - 436*d**2 + 3056*d - 1920 = 0.\nAnswer: -30, -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 135a5 + 344?\nAnswer: 13929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-5))\/(3\/15). Let h be 1 - (u - (0 + -2)). Suppose 3*t = 5*j - h + 3, -2*t + 10 = j. Solve 0 = 2*g + 2*g + t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 27142993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 361584 and 17.\nAnswer: 361601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 429113 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/8 - 34\/8. Suppose -4*j - 2 = 3*f, f - j = j + 16. Put s, f, 1 in increasing order.\nAnswer: s, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 580 - 576. Let h(y) be the third derivative of 2*y**3 + 0*y + 0 + 1\/24*y**l + 12*y**2. What is the derivative of h(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/21 + -2 + 2. Put 4, u, -3, -1 in increasing order.\nAnswer: -3, -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 6176\nAnswer: -6176.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 40070.1\nAnswer: -240420.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 11*z**2 + z + 11. Determine i(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 = 2*w - j, -w = 2*j + 1. Let o = -9 - w. Is 3\/(o*3)*-718 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.511 rounded to 0 dps?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/17442 and 133\/9180.\nAnswer: 174420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5 + 762*f**4 + 3024*f**3 + 3016*f**2 = 0.\nAnswer: -377, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 720\/(-135) - 2*-3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -23. Let c = 15 - n. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m - 9. Let f(u) = -4*u**3 + u - 3*u - 3 + m*u**3 - 3*u**2. Let q be f(-3). Solve q*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1015763606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 657222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3543424 divided by -152.\nAnswer: -23312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 799*a**2 - 41*a**2 + 766*a**2 in the form x*a + y*a**2 + n and give y.\nAnswer: 1524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 3 + 3)*(1 + 1 - 3) + 11 - 4 - 4)*(-1 - 4*k + 3 + 9*k) to the form r + u*k and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 134 = 2*p. Suppose 3*a - 73 = 29. Calculate the greatest common factor of p and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*g - 6 = -0*p, 2*p - 4*g - 4 = 0. Suppose 5*d + 15 = 0, -2*d = -4*i + 5 + 17. Sort -3, i, p in ascending order.\nAnswer: -3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y = -34*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/5))**(-5\/16)\/(((a**(-1\/5)*a)\/a)\/(a*a\/a**(-2))))\/((a**0)**10\/(a**2\/a)**(-1\/12)) assuming a is positive.\nAnswer: a**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3011)\/(-165605))\/((-3)\/(-55))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 3*v + 2. Let m be c(2). Suppose m*q = 5 - 29. Is (-2 - q)*(-1401)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 11:22 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 - 100101110111000?\nAnswer: -100101111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.25 + 1.55. Let z = x + -1.299. What is z rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 3*r - 4. Determine i(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3183 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from tftfyptt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-8\/5))\/(z\/z**(-6)))\/(z**(3\/4)*z\/z**(-7)*z))**(1\/19) assuming z is positive.\nAnswer: z**(-347\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0224 + 0.363. Round n to 2 decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:13 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 36 = 3*t, -2*c + 4*t = -0*c - 40. Let y = -4 + c. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13472, -2, -4 in descending order.\nAnswer: 2, -2, -4, -13472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20952 by -4203.\nAnswer: -2328\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6*1)\/(-65 - -68). Let d be (-18)\/(-2) - (-8 - -6). Suppose 4 = t, -p*t + d - 1 = 2*m. Let g(z) = -z**2 + 2*z - 1. Calculate g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(11) + -1 + 3)*-3 - (3 + -1*sqrt(132)\/sqrt(3)))**2 + 1.\nAnswer: 588*sqrt(11) + 2598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/7)*a*a*a**(-1)*a*a*((a*a\/(a**(-5)*a))\/a)\/(a\/(a*a**(2\/35))*a*a))**14 assuming a is positive.\nAnswer: a**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, p: 5}. Give prob of picking 2 p.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35090 and 290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 - 39*a - 2. Let l(r) = -6*r**2 - 40*r - 1. What is 3*h(b) - 2*l(b)?\nAnswer: -6*b**2 - 37*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*933919\nAnswer: 3735676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 - -2 - 5). Solve 3*u - 4*p + 3 = q, 0*u - p + 3 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 13.07. Let d = t - -3.93. Let o = -160 + 158. Put o, -5, d in descending order.\nAnswer: d, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -24*f**2 - f - 2. Suppose 2*r - 759*n + 754*n = 2, 4*r - 5*n - 24 = 0. Let t(y) = 120*y**2 + 6*y + 11. Determine r*x(m) + 2*t(m).\nAnswer: -24*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*f - 18, -h + 9 + 7 = 3*f. Let g = 497.1 + -478. Let c = 12.1 - g. What is the second smallest value in h, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + -10 + 1496\/40. Let o(u) = 2*u**2 - 47*u - 147. Calculate the smallest common multiple of 28 and o(h).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + -5 + 14 - (-8 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvippnpnppnvvipppn. Give prob of picking 1 v, 1 i, and 1 p.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6686 is divided by 58.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiieujjjehikkiue. Give prob of sequence keh.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-18)*(-1386)\/98*287\/(-984)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2*1)\/(516\/301).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.018 + 0.03. Let y = l + -0.047883. What is y rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -274\/37 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.3 - 24.3. Let p = 14\/15 + -3\/5. Let n = -187 - -192. What is the nearest to p in -2\/11, n, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 13*p - 4. Let b be y(6). Let u = 6 - b. Suppose 4*a + 102 = -3*i + 5*i, u*i - 165 = -5*a. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4396\/38785?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -51. Let m(n) be the second derivative of 1\/2*n**4 + 0*n**2 + 0 - 1\/10*n**a - 2\/3*n**3 + 3*n. Solve m(o) = 0 for o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 2*h**2 + 1. Let x be n(-3). Let m = 9 + -13. Let o be (x\/1)\/m - 2. Round o to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/5 + (-34)\/(-10). Suppose 44*v = 19*v - 40*v. Solve x + 8 = -3*s - 3*k, v = 2*s + k + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4994414 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 17010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00157371 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1272*x + 25. Suppose 0 = 7*c + 20 + 8. Is j(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let a(l) = -12*l. Let r(u) = u. Let g(b) = a(b) + 2*r(b). What are the prime factors of g(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.32394 + -27763\nAnswer: -27792.32394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*k = 2*a - 194, -5*a + 2*k = -231. Let z(g) = 46*g + a*g - 92*g. Suppose 2 - 8 = -3*o. Give z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3447.10049 to the nearest integer.\nAnswer: -3447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1013\/5 - -202. Put u, -0.4, 12 in ascending order.\nAnswer: u, -0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 182820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -15 + 85. Let l = -7 + 2. Let x = l - p. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 85 - 35 = 0. Find the third derivative of p*l**3 - 2*l - 18*l**3 - 12*l**3 + 34*l**4 - 22*l**2 wrt l.\nAnswer: 816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**7\/840 - f**5\/120 + 5*f**3\/3 - 3. Let y(x) be the third derivative of v(x). Find the second derivative of y(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 11:34 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-32))\/(13\/(-104)))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 47, 57, 49, 17, -45, -143, -283?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/180 - 265*t**4\/24 + 398*t**3\/9 - 3066*t**2. Factor s(b).\nAnswer: -(b - 1)*(b + 796)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578968 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + g + 925 = 0, 0*k - 185 = -k - 2*g. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1072, -907, -264, 1097, 3416, 6933, 11888, 18521?\nAnswer: 27072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7833856*h**2 - 7833850*h**2 - 7833835*h**2 - 7833864*h**2 + 31335445*h**2.\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/9*x**2 - 2\/9*x**3 + 20\/9 + 2\/9*x = 0. Calculate x.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 10*o - 2. Let q be h(8). Suppose -v + 2*d = -q, -2*d + 4 = 14. Suppose -v*r = r - 55. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -35, -16, 1\/18 in decreasing order.\nAnswer: 1, 1\/18, -4, -16, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from xtwsk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 59. Suppose -5*q + q = -h. Suppose q*m + 5920 = 1120. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -121\/244181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12*s + 21. Let m be n(-5). Suppose -1218 = -3*b - m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(5\/(-40)*86 + 4). Let w be 13\/(-312) + (l\/24)\/3. Put 0.4, 10, w in decreasing order.\nAnswer: 10, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 275. Is 58 a factor of w(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buubnnbbbtbu. Give prob of sequence nu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -198. Let o be z\/(-492) + 2\/(-8). Let n = o + -385\/984. Which is the second biggest value? (a) 1 (b) 2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 337750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - 2*p + 2*p)*(2 + 12 + 12) + (-3 + 3 - 3)*(4*p + p - 4*p) + 35 - 35 - 5*p as k*p + r and give k.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.349 + 14.162. Let j = -16.4 + l. What is j rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 - 6*k + 6*k + (-101 + 496 - 1784)*((-3 + 3 - 2*k)*(0 + 2*k + 0) + 2*k**2 - 2*k**2 + k**2).\nAnswer: 4163*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:31 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15278 and 709657003.\nAnswer: 709672281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 2:22 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7713.96 + 7980. Let t = j + -266. Which is smaller: -0.3 or t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 + p**4\/4 - p**3\/2 - p**2. Let r be v(-6). What is the nearest to -1 in r, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -539, 1885, 7281, 15649, 26989?\n\"Answer: 1486*i**2 - 2034*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.7 + -160.7. Let m = s + 139.1. Let t = -2.03 - -0.03. What is the closest to m in 1, 4, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 1531?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {e: 7, n: 1, b: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2778177*r**2 + 2653210*r?\nAnswer: 5556354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(3*2\/6). Suppose -3*b = -c*b + 3. Calculate the remainder when 1 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223934129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/64527 and 1\/1507.\nAnswer: 709797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**6\/30 + r**5\/3 - 2*r**4\/3 + 5*r**2 + 9*r. Let z(s) be the first derivative of g(s). Factor z(q).\nAnswer: -4*q*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*a + 1077 = -119*a. Suppose -15*h + 1096 = -a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/39)\/1*1430\/660.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {i: 1, j: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-36)*7\/((-490)\/12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/(-6)*4\/(-6). Suppose -2*g + o*r - 8 = 2*g, -4*r = -3*g - 7. Solve g*u = -5*t + 16, 2*t - 16 = -0*u + 2*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 82850, 1 in decreasing order.\nAnswer: 82850, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 3*y**3 + 3*y**3 + (115 + 12*y**3 - 115)*(-2 + 2 + y) - 19*y**4 - 26*y**4 - 3*y**4.\nAnswer: -33*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*8\/(-32))\/(4\/(-32)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from rrkvkrvrrkkkrrkkvrr?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -13*i**2 - 92*i - 164. Give u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-2646)\/(-630)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 53*m - 82. Give p(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-14)\/(-84))\/(2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 - 192*l - 3440 = 0. Calculate l.\nAnswer: -172, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 divided by 15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 459324892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3213 + -1268. Calculate the greatest common divisor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -454 + 1212. Does 19 divide (-2)\/(-4) + x*(-4)\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 12. Let q be s(-5). Let h = q + 7. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/76230 and 50\/2079?\nAnswer: 228690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19517 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -1459*p**5\/20 + p**4\/12 - p**2\/2 + 5*p - 1. Let n(h) be the first derivative of f(h). Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(-19)*q*q**(1\/4)*q\/q**(-8)*q*q*(q*q**(-18)\/q)\/q assuming q is positive.\nAnswer: q**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -35*a**3\/3 - 27*a + 13. Find the first derivative of t(y) wrt y.\nAnswer: -70*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 1 (c) -15498 (d) -1\/2 (e) 0.3 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**3)\/w)\/w)**(-11)*(w*(w**(-12)\/w)\/w)\/(w\/w**11) assuming w is positive.\nAnswer: w**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*l**2*s**4 + 2*l**2*s**2 - 64*l**2 - 2*l*s**6 - 2*s**3 - s wrt s?\nAnswer: 1464*l**2*s - 240*l*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1\/3. Suppose -20*m = m - 84. Which is the third biggest value? (a) o (b) m (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-37.2.\nAnswer: -2.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194934*f**2*l**3 + 19*f**2*l + 13*f**2 - 17*l**2 wrt l?\nAnswer: 1169604*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24252 (base 10) in base 3?\nAnswer: 1020021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 253, 295, 391, 559?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*p - 207*p - 227*p - 5732*p**3.\nAnswer: -5732*p**3 - 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7456*z + 105 = -7491*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002171 rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*s + 116176 = 0, -4*y = -4668*s + 4669*s - 92921. Are 23228 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let w(k) = -3*k**2. Let a(o) = 6*g(o) + 5*w(o). Let q(l) be the third derivative of -l**5\/15 + l**2. Determine a(q(t)).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.763145 weeks in hours?\nAnswer: 632.20836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 11*r**2 + 4*r + 19. Let v be j(-11). Let n = -16 - v. Calculate the highest common factor of n and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/6 + 16411*c**3\/2 + 202015305*c**2\/2 + 605898225*c\/2 = 0. Calculate c.\nAnswer: -24615, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 15*i - 13*i. Let r be ((-2)\/(-4))\/((4305\/(-20))\/i). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/89080469?\nAnswer: 14\/89080469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 220*g**2 + 1825*g + 2040.\nAnswer: -5*(g - 8)*(g + 1)*(g + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -627*w**2 + 10*w - 8. Let f(y) = -3134*y**2 + 54*y - 42. Give 3*f(p) - 16*u(p).\nAnswer: 630*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-28)*(-108)\/81\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 5:22 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 29 - 173. Let l = -35 + z. Calculate the remainder when 64 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -998*u**2. Let r(v) = -36*v**2 - 2. Calculate r(g(h)).\nAnswer: -35856144*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 10304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 2*m + 6*d - 3*d, -5*m = -2*d + 142. Let y(c) = -c**2 - 75*c + 33. Let i be y(m). Calculate the highest common divisor of i and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24250 and 47045?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(2) - sqrt(200)) + -4)*6 + ((sqrt(20)*2)\/sqrt(10) - sqrt(24)\/(sqrt(36)\/sqrt(3))))**2 + 4 + 2.\nAnswer: 3074*sqrt(2) + 6465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 3*z + 19 - 3*z**2 + 506*z**3 - 12 + z**2.\nAnswer: 506*z**3 - 2*z**2 + 3*z + 36","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 2*t**2 + 4*t. Let a be s(7). Let o be (6\/3)\/2 - a. Suppose -5*m - 4*f = -o - 120, -5*m + 5*f = -365. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20122*p**2 + 15261*p**2 - 35378*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 0*j**4 + 1\/5*j**5 + 4*j**3 + 0*j**2 + 8 + 0*j. What is the third derivative of x(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53975 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.4262 - -484\nAnswer: 481.5738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/20 and 7\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 0, 5*w - 13 = -a - 35. Suppose -3*p - 2*l = a*l - 27, -4*p = -4*l - 4. Solve p*g - 6 = 3*r - 23, g - 1 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*j + 221*j - 8 = 447*j. Solve j*f + 7 = 2*z + 5, 0 = -3*z + 5*f + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1115 and 448453.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5872475.\nAnswer: 5, 7, 23, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 215*o**2 + o + 1. Suppose 4*i - 4*q = 2*i - 6, 5*q - 4 = -i. Let u be z(i). Calculate the highest common factor of u and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**8\/112 + a**4\/3 - 5*a**2 - 12*a. Let m(f) be the first derivative of r(f). What is the second derivative of m(y) wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-2 + (8 - -2) - 28) + 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 401685*i*n + 81*n - 740 wrt i.\nAnswer: 401685*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*c - 3 = 0, 2*k - 10 = -2*k + 3*c. Let d(p) = -p + 3*p + 4*p + k - 7*p. Let u = 17 + -21. Let w(y) = 1. Calculate u*d(z) + 4*w(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07182 - -4.03568. What is d rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 6*t**2 - 7*t - 5. Let m be r(-5). Suppose 0 = m*a - 118 - 22. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 15, o: 3, g: 2}. Give prob of picking 2 x.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -77837711\nAnswer: -4670262.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9c + -1174d?\nAnswer: -116b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -3.6 (c) 3 (d) 1 (e) -0.9 (f) -1060 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6666259 micrograms in tonnes?\nAnswer: 0.0000000000006666259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4864*l + 5577 = 5033*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 27 - 67 = 0. Let z = q + -18. Suppose -3*a = -z*v + 2*a + 302, -v = 4*a - 151. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s + 6. Let q = 35 + -247\/7. What is the third smallest value in q, s, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 476443 or 476373?\nAnswer: 476373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261853 is divided by 224.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027558 plus 879?\nAnswer: 879.027558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/8)\/(11\/(-968)). Let x be 2*14 + -2 - -1. Let c = x - y. What is the nearest to 0 in 2\/9, -2, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(2\/3))\/z))\/z**6)\/(z**(4\/5)*z)**(2\/13) assuming z is positive.\nAnswer: z**(-1159\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*c**3 - 317 + 624 - 307.\nAnswer: 57*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 434.1 (b) -5 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4) + (-14)\/(-4). Let u be ((-33)\/11)\/(f\/(-2)). Let i(l) = 6 + 9 + 7*l**2 - 6*l - l**u + 12*l - 5. Give i(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/(18\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-3 + -1188)\/1. Let y be 7 - 17\/(85\/20). Suppose c = y*v - 4475. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9912 (base 12) to base 15\nAnswer: 4ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -664 + 674. Solve 5*x = 5, -4*j - 2*x = -8 + z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108217567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 156, 155, 154, 153, 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.94778 minutes in hours?\nAnswer: 1.632463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 53440.41mm?\nAnswer: 53440410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 23*y + 115. Suppose -33*r = -60*r - 46*r - 292. What is k(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = -2*n - 14*w + 9, -3*n = 4*w + 29 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-9)*(-12)\/16. Let d be -5*((-218)\/(-70) + -3). Which is the second smallest value? (a) d (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406091840181 + -0.2?\nAnswer: 406091840180.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(14)\/(sqrt(6)\/sqrt(3)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 32 = 5*y, -5*g + 4*y + 1 + 13 = 0. What is the remainder when 15 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 4*s - 5. What is i(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 41*r**2 - 61*r - 74. Let p be m(-19). Solve 3*w - p*x - 9 = 0, -w = -3*x + 5 - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:15 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37094 by 5.\nAnswer: -37094\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*b - 28308 - 3467. List the prime factors of b.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.6524 to zero decimal places.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 387 + -201 + -195 - (2 + (2 - 82))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 less than or equal to -490\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajfaalclacjaaafa. Give prob of picking 1 c and 2 f.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 14445430 to the nearest 10000.\nAnswer: 14450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/7 + 186*p**3 - 68112*p**2\/7 - 17715360*p\/7 + 35692800\/7 = 0. What is p?\nAnswer: -88, 2, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(5\/38917) + (-1074)\/2685.\nAnswer: 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/36192 and 127\/35728.\nAnswer: 2786784","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.61329 centuries to years.\nAnswer: 61.329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 10*m. Suppose m*r + 201 = 2*r - 3*a, -r + 113 = a. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0. Suppose 13*t + 160 = 11*t - 38*t. Which is the closest to n? (a) t (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -8.7. Let n = 30.34 - 30. Let l = n + 0.06. Which is the nearest to 0.1? (a) v (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 2\/15 (c) 2\/5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9225, 18445, 27695, 36993, 46357, 55805?\nAnswer: 65355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -25. Let m = -0.16 + -15.84. Let s = m - -16.5. Which is the third smallest value? (a) f (b) s (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264219001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 101?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 3*o - 10. Let p(y) = 8*y**3 - 8*y - 31. Determine 11*k(n) - 4*p(n).\nAnswer: n**3 - n + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2. Let y(w) = -w - 13. Calculate y(p(v)).\nAnswer: -2*v**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 341\/11 + -29 - 7\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808324521745.9 minus -2?\nAnswer: -2808324521743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94253509 > 471267546\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - x + 3*x + (3*x - 3*x - 2*x)*(-1 - 2 + 5) + (14 - 31 - 33)*(-3*x - x + 0*x) - 2*x + 3 - 3.\nAnswer: 195*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-622)\/3*27\/(-45). Let t = h + -1229\/10. Determine g so that -t*g + 5\/4 + 1\/4*g**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 169301.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 7*l**2 + 2*l - 11*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-7))\/(t\/t**7))\/(t**(-2\/5))**(-2\/79) assuming t is positive.\nAnswer: t**(5526\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from ququuuuuuuuquuuuuqu.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1098, -1131, -1174, -1233, -1314, -1423, -1566?\n\"Answer: -c**3 + c**2 - 29*c - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 310*h - 268*h. Let q(x) = -x**2 + 3*x + 1. Let v be q(2). Solve -w + h = v*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 4) + (17 + -11 - 21) + (124 - 32)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13.74 times -0.4\nAnswer: 5.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 214 + 173. Suppose j*c - 32*c + 2420000 = 0. What is c rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 642*b + 17330. Determine m(29).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let i(m) be the second derivative of -5*m**3\/6 - 6*m. Calculate b(i(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*202\/(-4)*2. Let g be (-1777)\/18 - 15\/((-540)\/8). Let u = g + z. What is the second biggest value in 0.4, u, -2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n. Let b(m) = 42*m + 1. Calculate b(z) + 5*j(z).\nAnswer: 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-60)\/27*(-9)\/6. Suppose y*x = -4*x + 42. Solve -2*p + x*p + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (248\/310)\/(6\/(-375)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -89. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 3*h - 3*h)*(-4445 + 189 + 10).\nAnswer: -4246*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.8 + 6. Let j = 0.12 - 0.04. Let a = j - 3.08. Sort a, m, -2\/5.\nAnswer: a, -2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14565, -16201, -18943, -22791?\nAnswer: -27745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/84 and 69\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 times -0.5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837104?\nAnswer: 2, 113, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7306352mg in grams?\nAnswer: 0.0007306352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) -9\/31 (b) 1.7 (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12832 - -14446. Calculate the remainder when z is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -108748, -32, 2, 1 in decreasing order.\nAnswer: 2, 1, 0, -32, -108748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 14) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:30 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i - i + 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -153854.466.\nAnswer: 923126.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.9550034 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.11852 centimeters to millimeters.\nAnswer: 541.1852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from dwddwdddwedwwddddwd.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Let u(c) = 2 + 5*c + 1 + 2*c**2 + 0 - 3*c**2. Give u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + m**4 + 0*m**4 + (-2 + 2 + 2*m)*(m**3 + 1 - 1) - m**3 + m**3 + 2*m**4 + 20*m + 1862*m**4 - 1861*m**4 - 54*m.\nAnswer: 6*m**4 - 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/24 + 17*b**3\/6 - 5*b**2. Differentiate o(u) with respect to u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j\/((j*j**(5\/4))\/j))\/j*j)*j*j**8*((j\/(j\/(j*(j**(1\/4)\/j)\/j*j)))\/j*j)**(-47) assuming j is positive.\nAnswer: j**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b. Let y(n) = 143*n + 11*n**2 + 3*n + 44*n - 12*n**2 + 41*n. What is w(y(t))?\nAnswer: 3*t**2 - 693*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 254 + -99. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3532 and 152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1023 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/7 (b) -0.08 (c) 5 (d) -1\/14 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.6161947.\nAnswer: -0.12323894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 713, -4, -5, -3, -2 in increasing order.\nAnswer: -5, -4, -3, -2, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 122. Suppose -r - 5 = 0, 2*i - r + 49 = -6*r. Let w be i\/(-30) - (-11)\/p. Put 0.2, 2, w in decreasing order.\nAnswer: 2, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 61 = -4*g, 3*s - 29 = -282*g + 286*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 35 = 40*u. Suppose 0 = -4*b + b + 12, -z - b + u = 0. Solve -d = -2*d + z, -2*d = 4*o + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78 - -74. Suppose -n = -4*n + 15. Let i be ((-1)\/(-2))\/(2\/(-4)). Put n, i, h in increasing order.\nAnswer: h, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, -2, -355, -4 in ascending order.\nAnswer: -355, -19, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h**(-3)\/h)\/h)))**21*((h\/(h**(2\/7)*h)*h)\/h)**(5\/12))**(-20) assuming h is positive.\nAnswer: h**(44150\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 170491902.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1 - 1) + 4. Suppose -l*d + 298 = -d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -15, -3\/4 in decreasing order.\nAnswer: 0.3, -3\/4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = 58*d - 59*d. Suppose -4*z + 4 = 0, -q + 0*z + d = z. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 - 6*x**3 + 21*x**2 + 106*x - 120 = 0. What is x?\nAnswer: -6, -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f - 19*f - 13*f - 27*f - 169 + 74*f.\nAnswer: -2*f - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/346460 - -35321593\/1385840. Let l = 263\/10 - m. What is the common denominator of ((-43)\/(-7))\/(60\/42) and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 + -595. What is the closest to t in 4, 0.22, 1\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.16 - 2.26. Let w = s + -0.525. What is w rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*d - 7010 = 38206. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 235 = -5*k, 3*k - 241 = -2*k - 3*x. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 372 = 4*n + 28, -3*n + 235 = -5*m. What is the remainder when n is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Let g = -3.1 + s. Let y = -8 - -8.3. Sort -1, y, g.\nAnswer: -1, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 13. Suppose t*h - 2*b - 435 = 4*h, 0 = 2*b. Suppose y = 5*a - 101 - h, 2*y = 3*a - 117. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c - 2*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 20784*k + 62316.\nAnswer: 4*(k - 5193)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/112)\/((-99)\/(-6) + -2 + -14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3 + (-3 + 3 + 1)*(4 - 4 + 1))*(-3 + 3 - 13*m**2) - m**2 + m**2 + m**2.\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/4, -2, -120\/11.\nAnswer: -120\/11, -2, -1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csuv when four letters picked without replacement from scsvccqzsssvczsuqcv?\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*m**3 - 54*m**2 - 2 wrt m.\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((891\/(-18))\/9)\/(2\/84). Let c = 416 + u. What are the prime factors of c?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6208.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h + 329 - 70 = -121 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 226958 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -555660603 + 555660603 - 2*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 101 = 2*o, -2*i + 2*o + 186 + 34 = 0. What is the first derivative of -5*f**4 + 116*f - 231*f - 81 + i*f wrt f?\nAnswer: -20*f**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133886.\nAnswer: 2, 66943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119 - -327. What are the prime factors of 6\/21 + z\/7?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 419.4 + -52.4. Let v = -366 + u. Which is the biggest value? (a) v (b) 0.042 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 11*j**2 - 5*j - 8. Let x(h) = -4*h**2 - 2*h - 3. Let m = 1718 + -1715. Determine m*d(t) - 8*x(t).\nAnswer: 3*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 36 = -8. Suppose -3*s - 84 = -2*n, -4*n - 3*s + a*s + 168 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f + 12. Suppose -64 = -10*r + 2*r. Let t(l) = 1 + 6 - r. Give -12*t(a) - v(a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2. Let c(s) = 1248*s**2. Determine f(c(u)).\nAnswer: 3115008*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 314, 169, 38, -73, -158, -211?\n\"Answer: y**3 + y**2 - 155*y + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -4, -2, -284, -3 in increasing order.\nAnswer: -284, -4, -3, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 12*j**3 + 33*j**2 - 18*j.\nAnswer: -3*j*(j - 1)**2*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 22*d**2 + 262*d + 13. What is u(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 - 34 - 30)*(2*f + 1 - f + 0*f)*(-f**3 - 3*f + 3*f) to u*f**4 + i*f**2 + w*f + g + d*f**3 and give u.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00808 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u. Let x be 140\/63 + 4\/(-18). Let v(y) = 0*y - 2*y - 8*y - x*y. Give h(v(g)).\nAnswer: -108*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 13*p = -16*p - 15, 3*p + 9 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.1, 1819 in descending order.\nAnswer: 1819, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380491740 - u + 380491740.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - -0.4. Let r = j + -1.4. Let d = 0 - 3. What is the second biggest value in d, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102400, -102395, -102388, -102379, -102368, -102355, -102340?\nAnswer: -102323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 139?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 396*y**4 + 2*y**3 - 43*y**2 + 14*y - 1070348 wrt y?\nAnswer: 1584*y**3 + 6*y**2 - 86*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/8*(-4)\/3. Suppose u*s = 5*s - 210000. Suppose s = -j + 2*j. Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(6*(sqrt(65) + sqrt(65)*1) - (sqrt(65) + 6*1*sqrt(65))))\/((-6*sqrt(40)*-2)\/(sqrt(72)*6)).\nAnswer: -270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3207 minus -1.944?\nAnswer: 2.2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 14. Let l be (-1)\/(-1) - (s + -12). Is 3 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 569b (base 14) to base 10\nAnswer: 15033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1987 or 2034?\nAnswer: 2034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3*i\/((i*i**(-2\/5)*i)\/i)*i)\/(i**(-1))**12 assuming i is positive.\nAnswer: i**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*r - 0. Suppose -13*p = -r*p - 12. Let t be (-110)\/(-4)*4\/5. Solve 2*f + 14 = 4*q - p, t = 3*q - 5*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-3)*((-30)\/(-12))\/((-3888)\/144).\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 185*a**2 - 19*a + 9*a - a**3 + 1151*a**2.\nAnswer: -a**3 + 1336*a**2 - 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -3108?\nAnswer: 3108.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218215?\nAnswer: 5, 19, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 293\/4981*(-17)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 14.91. Let u = -0.09 + z. Sort 3, u, -1 in increasing order.\nAnswer: -1, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*y - 23. Let v(t) = t + 7. Calculate v(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1948*r + 12. Let s(w) = 4869*w + 29. Calculate 12*n(t) - 5*s(t).\nAnswer: -969*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-16) + -2)*-4. Let v(k) = 2*k**t + 7*k**2 - 1 + k**2 + 8*k + 4 - 3*k**3. Is 36 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 3*w - 3*u, -2*w = -u - 50 - 5. Suppose 5*a = -5*z + w, 2*z + a - 7 + 0 = 0. Solve -z - 15 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17, -77, -195, -389, -677?\n\"Answer: -3*a**3 - 11*a**2 - 6*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3243550 (base 9) to base 6\nAnswer: 101153330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376350474 by -188175237.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5 + 14*i**4 - 32*i**3 + 24*i**2.\nAnswer: -2*i**2*(i - 3)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = q, 0*q + 3*q = -x - 10. Let v be 7 + 3 - x - -2. Solve 3*m + 10 = 5*m + 2*w, -3*m - v = -4*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 + -1 + (15 - -1) + (6 + -103 - -93)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-3))\/((-6)\/9). Suppose -5*k = l - 4*k - 2, -h*k - 27 = -l. Suppose -3*r + 67 = -38. Calculate the highest common factor of l and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.58177 decades to centuries.\nAnswer: 2.058177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 544487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -42 + (25 - 26) - (-1 - 5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 0 - (-15 - -73)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-1)\/(-4))\/((-10)\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -4*l, 3*l + 2*w + 0 + 1 = 0. Suppose c - l = -5. Let d = 42 + c. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 18 + -14 + 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, p: 4}. Give prob of picking 1 a and 1 p.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2) - (-7 + 0). Let l(x) be the first derivative of -x**3\/3 + 3*x**2 - 3*x - 1. Let c be l(5). Solve c*o - m = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g + 3. Suppose 1 + g = a. Let v(o) = -o + 14. Let h be v(11). Put -2, a, h in increasing order.\nAnswer: -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38f2b9 + b?\nAnswer: -38f2ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761520 is divided by 253833.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053))**2 + -5)*1*-2.\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**3\/6 - t**2 + 3*t. Let x(o) = -1. Let c(u) = 2. Let s(n) = -3*c(n) - 5*x(n). Determine i(g) - 4*s(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -593\/7 >= -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 41 = 5*j. Let z(q) = 2*q - 3*q + 7 - 10. Let u be z(j). Solve 4*x - 6 = u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 15*p = -112. Solve 2*z - 6*z + p = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -831*a**2 + 7*a + 6. Let l be p(-1). Let z = 1245 + l. List the prime factors of z.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -70, -50, 20, 164, 406?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 14 = 2*m. Let t = 1 - m. Calculate the remainder when 214 is divided by t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkekoeoekokkkkeokk. What is prob of picking 1 o, 2 e, and 1 k?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738*s**2 - 4*s + 4*s + 177*s**2.\nAnswer: -561*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 800212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 62 - 22. Suppose -2*x - 4 = q. Let u(n) = -n**2 - 7*n + 16. Let r be u(x). What is the closest to -0.1 in r, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + u**2 + 2*u**2)*(6 + 0 + 2).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1750 by 35.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20516450.000137 - -20516308. Let y = q + 142. Round y to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220723 equal to 3220718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 5*n. Solve 4*m + m = n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Let f(i) = i**3 - 6*i**2 + 6*i - 2. Let l be f(5). What is the remainder when 2 - -1*(-2 + l) is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y**2 - 4*y - 4. Let l(a) = 8*a**2 - 3*a - 3. Suppose 62*p - 7*p - 605 = 0. Suppose 6*c = -p*c + 68. Determine c*l(z) - 3*w(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -20*m, 1252*w - 1256*w + 3*m - 19 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q + 2. Let c(v) = 3*v**2 + v - 1. Let n be c(1). Let k(p) = -3 + 86*p - 25*p - 32*p - 35*p. Determine n*b(z) + 2*k(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/2 + 5*t**4 + 9*t**3\/2 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46\/3 - -136\/9. Suppose 2*x - 2*n = 96, -3*x - 2*n + n = -164. Suppose -14*y = 3 + x. Which is the smallest value? (a) i (b) 0.27 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let h be r(5). Let f be (45 - h)*(-6)\/(-15). Suppose -8 + 18*p**3 + 2*p**2 - 20*p + 4*p**2 - 12*p + f*p = 0. Calculate p.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-153)\/34*17\/102. What is the nearest to 8\/3 in -2, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 1, v: 2}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -100*o**4 + 18880*o**3 + 41864*o**2 + 29760*o + 6876 = 0.\nAnswer: -1, -3\/5, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -669.\nAnswer: 669.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 2237 + 1114 + 1123 + 4*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 2:58 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*4)\/((-24)\/(-156)). Let t = 36 - i. Suppose -s = -4*s. Solve -5*p + 5 - t = s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.548 from 0.3.\nAnswer: 2.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*c - 97, -3*o = 2*c + c - 297. Let a(v) = -v - 102*v**2 + o*v**2 + v. Let g(z) be the first derivative of 7*z**3 - 3. Calculate a(g(j)).\nAnswer: -441*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -64. Suppose -2*z + 100 - 28 = d, 3*z - n*d - 121 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3123 (base 4) to base 5.\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3080*j**2 - 5*j - 9 wrt j.\nAnswer: -6160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6989.81 - 7073. Round m to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-443688)\/(-19) + (-4 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 405*g**2 + 108625*g\/2 + 1383375.\nAnswer: -(g - 930)*(g + 35)*(g + 85)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*v - 65988, 3*v = 2*v + 2*g + 16499. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 3651?\nAnswer: 40161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b**2 - 5*b**2 + 2*b - b**3 - b - 7. Suppose -5*r - 65 = -5*t, 5*t + 35 = -10*r + 5*r. Let h be ((-15)\/r)\/(-3)*2 - 4. Determine c(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.13 - -611.74633.\nAnswer: 609.61633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, 11, 2, -3, 16\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-28 + 20 - (-8 - (4 - -5)) - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*(t*t**(-1\/3))\/t)\/(t**6*t\/t**(-5)) assuming t is positive.\nAnswer: t**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y**5\/3 + 3268*y**4 + 1973693*y**3\/3 + 76587892*y**2\/3 + 92237312*y + 5193728\/3 = 0.\nAnswer: -64, -4, -1\/53, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.811 in -0.3, 3, 1\/2, -6, -5\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Is -25*(-78)\/u - (-2 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 - 9*n - 688. Determine y(-21).\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-6))\/w*w)\/w)**(-14) assuming w is positive.\nAnswer: w**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 10:35 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -7. Let f = 30.93 - 31. Let p = f - -0.27. Sort p, d, 4 in increasing order.\nAnswer: d, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4908 + -3435. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (-5 - -5 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2. Let d = -0.1 - 0. Let u = g - d. Is 0 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 12. Suppose 0 = -17*s + d*s + 10. Solve -2*a + 4*a - 4*j = -10, -s*j - 7 = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) -51855 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14)*1*56\/(-60). Let r = l + -2\/15. Factor 4\/15 + 2\/5*y + r*y**2.\nAnswer: 2*(y + 1)*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 + 6 + 57*f**2 + 11*f**2 - f + 20 wrt f.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1\/(-3) - 8. Let i be (0 - 1)\/(t - -6). Let m(q) = q**2 - i + 8 + 6*q - 1. Determine m(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 390745661 to the nearest integer?\nAnswer: 19767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2747.854 micrograms?\nAnswer: 0.000002747854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -494539333 < -989078665\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 10*q**2 + 9*q + 13. Let f be i(11). Let w(r) = -r**2 - 8*r + 13. Let h be w(f). Solve -k = h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -3.00069.\nAnswer: 6.00138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68374972?\nAnswer: 2, 211, 81013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(22) + sqrt(88))\/sqrt(11)*6 + 2 + (sqrt(162) + (sqrt(162) - (sqrt(162) - ((2*sqrt(162) - sqrt(162))*5 - sqrt(162)))) - -4*2*sqrt(162))**2.\nAnswer: 18*sqrt(2) + 27382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 26. Let n be b\/5 - 143\/(-55). Suppose 0 = -4*c + 7 + 5. Solve n = 5*h - c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 16753 = -4*c - 5772, -13700 = -5*c - 5*a. Suppose -3*w = -38*g + 33*g + c, g - 563 = -3*w. List the prime factors of g.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15*k. Let l(z) be the second derivative of 0*z**2 + 0 - 1\/3*z**3 - 11*z. Calculate l(t(i)).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3356542 from -0.7.\nAnswer: 3356541.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 0*k - 3*k = 0. Suppose -22*v + 18*v = k. Suppose o = -s + 4*s - 11, 2*s - 5*o + 10 = v. Calculate the remainder when 29 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/15 + u**4\/24 + 61*u**2 + 2*u. What is j(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198342721 to the nearest integer?\nAnswer: 14083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.07 - -0.07. Let j = -10 - l. What is the closest to 0.1 in j, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(1*(-3)\/(-4)). Let k = -3 - z. Suppose 3*f + 15 = 0, 148*f = 3*m + 144*f - 50. Calculate the greatest common factor of k and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0966 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7282 - 1141. Does 267 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 294182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*(-4 - (-4 + 6)). Let r(f) = -3*f + 2. Let l(x) be the first derivative of 11*x**2\/2 - 8*x - 1. Let u(o) = h*l(o) - 9*r(o). Calculate u(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z**3 + 6*z**2 - 7*z**2 + 10*z**2 wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1805 divided by -5\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.281822 millilitres to litres.\nAnswer: 0.000281822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -377*j + 9121. What is x(29)?\nAnswer: -1812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -46*d**2 - 34. Let p(r) = 15*r**2 + 12. Let a(i) = 2*j(i) + 7*p(i). Differentiate a(h) with respect to h.\nAnswer: 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8)*-1)\/(3\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/547 and 79\/33.\nAnswer: 18051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852188 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/211 in -0.2, 257, 1, 38, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361536*t = 4*h + 361540*t - 16, -45*t - 20 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhhhq. What is prob of picking 4 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.85 * 7.022.\nAnswer: 20.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/6*(-816)\/714. Let l(n) be the first derivative of 7 - n**2 + k*n**3 + 1\/4*n**4 - 2*n. Give l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcntttkptkkc. Give prob of picking 1 n, 1 w, and 1 c.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 + 127. Solve -8*i = -g*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12795 + -12795. Solve 327*i - 294*i + 33 = r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -105*b**2 - 26*b - 13. Let w(n) = 52*n**2 + 12*n + 6. Determine 6*m(z) + 13*w(z).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3908223 + -3901964.644. Let p = 6155.35714 - f. Let j = 103 + p. What is j rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72032 or 71446?\nAnswer: 71446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.18 and 31692675.9.\nAnswer: 31692675.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/35 - 23\/(-7). Factor 0*b + 2\/7*b**2 + 0 + 2\/7*b**l.\nAnswer: 2*b**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 4*g**2 + 3*g - 2. Let k = -23 - -25. Let t be z(k). Factor 0*c**4 + 7*c**t + 4*c**5 - 3*c**4.\nAnswer: 4*c**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(792\/(-24)))\/(3\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 g when three letters picked without replacement from {x: 1, u: 1, p: 2, t: 2, w: 1, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 16*s**4\/7 + 102*s**3 + 584*s**2 + 2280*s\/7 = 0.\nAnswer: -38, -6, -5\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6041048 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 5, -12 in increasing order.\nAnswer: -12, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*f**4 + 111732*f**3 - f**2 + 225319 wrt f.\nAnswer: 504*f + 670392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 4, 7, 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 123260\nAnswer: -1\/30815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 + 36*i**4 - 12*i**3 + 18*i**2 + 785248*i wrt i?\nAnswer: 20*i**3 + 432*i**2 - 72*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 7*b**2 + 7*b - 13. Let x be a(-4). Solve -2*v = -x + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -92. Let l = 46 - k. What is the first derivative of -7*c**l + 14*c**4 - 13*c**4 + 27 wrt c?\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.765051089 to four dps.\nAnswer: -1.7651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1172035 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {b: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 = -5*n. Let g(w) = -w. Let q be g(4). Let p = n + q. Solve k - 2 + 0 = p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 1482.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/2, 1, 6 in descending order.\nAnswer: 6, 1, -13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 + 0*w + 0*w + 13*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))\/(-1*sqrt(36)\/sqrt(6)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 377*c + 373*c - 38, 5*f = 3*c - c + 39 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.03 (b) 0.2 (c) 78 (d) -5 (e) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41429 - 41429.2. Which is the biggest value? (a) 0.2 (b) x (c) -437\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.61, 9.7?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 53999904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -97168, -95193, -93218, -91243, -89268?\n\"Answer: 1975*i - 99143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271122521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2454077*q. Let r(l) = -l + 3. Calculate a(r(p)).\nAnswer: 2454077*p - 7362231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 39*y - 42*y. Solve 5*g = -y, -4*l - g - 2*g = -1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.720936739 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ini when three letters picked without replacement from iiinviihvvgivvgl?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = 3*p, u = -4*p + p - 3. Let z(s) = s**3 + 3*s**2 - s**2 + 0*s**3 + 1. What is z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 + k + 4. Let o be c(-5). Let z(f) = 18*f**2 + f + 1. Let h be z(o). Suppose -h + 0 = -3*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 236\/449 - -17104\/59717. Let d = -9\/19 - i. What is the common denominator of 1\/(-9)*(33 + -88) and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000723853 to 5 decimal places.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2169 - -2197. What is the lowest common multiple of (-18 - 0)\/(6\/(-8)) and l?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/((-20160)\/96))\/(2*(-1)\/112)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 - 7406*z\/3 + 37028\/15.\nAnswer: 2*(z - 18514)*(z - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/11, 6, 6017, -1 in decreasing order.\nAnswer: 6017, 6, 4, 2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5594*s**2 - 1568*s - 2789*s - 1581*s wrt s?\nAnswer: 11188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 12:57 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) -3\/10 (c) -382 (d) -55 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 46*q - 125. Let l be p(3). Find j such that 6\/7*j**2 + 3\/7 - 3\/7*j**5 - 9\/7*j**l + 9\/7*j - 6\/7*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9665151?\nAnswer: 3, 3221717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2956 = -v - 0*v. Let l be (-1 - 1) + v\/(-2). Let y = -1040 - l. What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/(o*(o\/o**1)\/o))**(-13)*((o**4\/o)\/o)\/((o\/(o**(-4)\/o))\/o)*(o*o*o\/(o\/(o*o**1*o)*o)*o*o)**(2\/15) assuming o is positive.\nAnswer: o**(184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from mmmtmmtittmcikkctim?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*1)\/((-6)\/(-21)). Let h = -5 - m. Differentiate 17*v - 17*v + 3 + v**h with respect to v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 758 + -759. Let k(i) = -3. Let b(j) = j - 1. Determine g*k(c) + 3*b(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/420 - a**5\/35 + 32*a**3\/21 - 50*a**2. Find z such that j(z) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7656386cm?\nAnswer: 7.656386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(245)*1)**2 + 2.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3774166848 and 109.\nAnswer: 108.6225833152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-18) - (-19)\/(209\/22)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254458317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 40779840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4696512.\nAnswer: 1\/2348256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-871)\/13*(-1 + 2). Let p = 18 + -84. Let h = r - p. Put 0, 3, h in decreasing order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4529 + 4533. Solve o*q - 13*q + 18 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 52*d + 1. Let l(j) = 3*j**2 + 6*j + 7. Let b be l(-1). What is the tens digit of c(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -15*u**3\/2 - 19*u. Let k(f) = -f. Determine k(q(w)).\nAnswer: 45*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 165 = -3*n, 4*w - 228 = -4*n - 0. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 11*p + 177 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406899 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 93*i**2 + 6*i)*((2 - 1 + 2)*(26 - 7*i - 26) + 0*i - i + 2*i).\nAnswer: -1860*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 646 * -1582\nAnswer: -1021972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3456, -3461, -3466, -3471?\nAnswer: -3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 10*q + 5. Let n be r(5). Solve 0 = -n*u - 11 + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66475?\nAnswer: 5, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/35*(-5)\/2. Let y = u - -1\/14. Let h be (-28)\/(-6) + 1\/3. Which is the smallest value? (a) y (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 20*b - 136. Let u be q(7). Solve u*h + 32 = -4*g, -5*g - 57 = 4*h - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-759)\/897*(-286)\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 11. Let u be i(16). Is u smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -25*z + 19 + 152 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 1412541?\nAnswer: 1412533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 7*u - 9. Let h be (1\/u)\/(10\/60). Is 9 a factor of (527\/51)\/(h*(-1)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:43 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i - 2 + 11*i**2 - 12*i**2 - 2*i**4 - 4*i**3 + 4*i**3 to w + m*i**3 + j*i**4 + b*i + t*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 5*z + 7. Let t be v(4). Suppose 4*f - 4 = -5*k + 19, 5*f - t*k - 1 = 0. What is the least common multiple of f and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**5\/30 + x**4\/4 + 3*x**2\/2 + 4. Let v(m) be the second derivative of a(m). Factor v(i).\nAnswer: 2*i*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 24\/2713?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 16198*i\/5 - 19452.\nAnswer: 2*(i - 8105)*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1817 (base 10) to base 2.\nAnswer: 11100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-30)*(-6)\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*r + 29, -242*h - 4*r = -237*h - 36. Solve -4*d - h = 0, 12*a + 7 = 13*a - 4*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210*c**3 + 191*c wrt c.\nAnswer: 1260*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2974, -3, 3, 0.499?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66855314 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+26306\nAnswer: 26305.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x\/(x*x*x**(-2\/5)*x)*x*x)\/(x**(4\/9)*x**2) assuming x is positive.\nAnswer: x**(-227\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 3*s + 4. Let v be d(3). Let j be 1\/v + (-18)\/8. Sort j, 3, 5 in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1894278 = -19*q - 505321. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q\/q**3)\/q)\/q)**(1\/32)\/(q\/(q**3\/q*q))**(-24))**10 assuming q is positive.\nAnswer: q**(-7695\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 + 8.2. Which is the fourth biggest value? (a) g (b) 1\/3 (c) -1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*t - 643, 0 = 4*x - 12*t + 13*t - 1311. What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/(2\/5). Suppose -y = -2*o, -5*o = -0*o - 3*y + h. Solve -o = u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.7 - -2.1. Let q = m + 3.5999907. What is q rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 103*p + 353. Calculate the remainder when y(-29) is divided by 147.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -12. Let o be 1\/(-9) + 316\/900. Is o greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 minus 937?\nAnswer: -936.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 12 = 0. Let l(n) = -n**2 - 12*n - 10. Let r be l(-7). Let q = r + b. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604*x - 4949*x + 1424*x - 611*x - 1313*x.\nAnswer: -7053*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(94\/48 - 2). Let g be (-10)\/15*8\/w. Put -4\/7, 0, 0.2, g in descending order.\nAnswer: 0.2, 0, g, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 118794, 476559, 1072834, 1907619?\n\"Answer: 119255*k**2 - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181144361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 3*p + 56 - 31 - 4*p + 2*p as r*p + x and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.6 (b) -2 (c) -6\/5 (d) -4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = p - 18, p - 3*c = -5*c - 10. Is p\/((-7140)\/3567 + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17612*u = -100659 - 1670850 - 271483 for u.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -37*j**4\/24 - 253*j**3\/6 + 6*j**2 + 7. Differentiate l(a) with respect to a.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (80\/12 - 5) + 336209\/51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 + 0*p**2)*(2*p + 2*p + p) - 3*p**3 + 3*p**2 - 3*p**2 - 27*p**3 + 14*p**3 + 15*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from rqbrqqddbbbiqb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a**23\/a)*a*a*a)*a\/(a\/(a\/a**(-4\/3)))*a assuming a is positive.\nAnswer: a**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 1. Suppose 5*a = -2*b - 14, -5*a = -2*b + b + 8. Let v be f(b). Solve 18 = -5*s - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-9)*(-18)\/(-2). Let v = g + -4. Suppose -r = -v*i + 2*r + 2, i - r = 0. Sort 0.4, -2\/11, i in increasing order.\nAnswer: i, -2\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.7 and 2.\nAnswer: -63.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.190761084 rounded to three dps?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316448 is divided by 12146.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 8060 + (4 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3311 divided by -2.\nAnswer: 3311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72569552 by -19624.\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1168*g - 1156*g - 3780. Suppose 405 = 18*c + g. Solve -14\/15*i**4 + 2\/15*i**3 - 2\/5*i**c + 14\/15*i**2 + 0 + 4\/15*i = 0.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 1, 0.4, -7, 0.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 2, t: 10}. What is prob of sequence juu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehefrfe. Give prob of sequence fh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 6:50 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**2 + w**2)*(3*w - 2*w + w) - 3*w + 3*w + 2*w**4 + 1 + w**4 - 1 + 2 - w**4 - 2 + (-16*w**2 + 33 - 33)*(12*w - 9*w**2 - 12*w).\nAnswer: 148*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 411.279 rounded to 0 dps?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 43*k**2 - k. Let v(m) = -3597*m**2 + 218*m. What is 218*r(o) + v(o)?\nAnswer: 5777*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 9. Suppose -3*z - 45 = 2*z. Let h be b(z). Suppose 5*q - 2*q - 3 = h. Is q smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 + 35482288*g\/13 - 157374095214368\/13.\nAnswer: -2*(g - 8870572)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731911 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4*0 + 16. Let c = 17 - g. Solve 0*y - c = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309026 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -140?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23166 and 12474?\nAnswer: 162162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 - 11 - 2*z**2 - 143 + z + 66 to the form g + v*z + a*z**2 and give g.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(5)*3*4.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 4528 + 1679 = 0. Let t = -395 - w. Solve -3*b - t = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 1 - p**3 + 4*p - 4*p**2 + 0*p**2. Let b be m(-6). Suppose 0 = 2*i - b - 7. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000 + 101?\nAnswer: 10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**7\/630 + g**6\/720 + g**4\/12 - 2*g. Let m(l) be the third derivative of t(l). Find the second derivative of m(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259850 is divided by 9920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231424 is divided by 12842.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q - 1. Let a(j) = -7*j + 1. Suppose 56*t + 166 = 113*t - 62. Give t*p(s) + 3*a(s).\nAnswer: 7*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*g - 92, -4*g - 695648*v + 80 = -695644*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(30\/(-4))*5\/(-5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5 - 4. Let r = -6 - g. Let m = -94711 + 94707. Sort m, -3, r, 0 in ascending order.\nAnswer: m, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + 2 + sqrt(24)\/(sqrt(60)\/sqrt(5)) + sqrt(2) - 5*(sqrt(2) + 4 + sqrt(200)))**2.\nAnswer: 1872*sqrt(2) + 5732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/16 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7696951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 15*i + 28. Let r be w(-15). What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/7)*w*w*w**4*(w*w\/(w**(1\/2)\/w))**(-3\/11) assuming w is positive.\nAnswer: w**(775\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -32657?\nAnswer: -3265.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.283 + -0.283. Suppose -x - 14 = -5*m + 8*m, -3*x - m - 10 = 0. Which is the nearest to k? (a) 3 (b) x (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -20. Let f(t) = -6 + 5*t**2 - 18*t**2 + l*t**2 + 6*t. Let n(m) = m - 1. What is 2*f(p) - 12*n(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/208*(-6)\/(-420)*7.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**6\/5 + l**5\/60 + 5*l**4\/24 + 5083*l**2. Let t(i) = i. Calculate -5*t(r) + v(r).\nAnswer: -24*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8738413318 take away 736?\nAnswer: -8738414054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -477009*k**2 - 121366*k wrt k.\nAnswer: -954018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-3\/2))\/r)\/(r*r*r*r**(-1\/14)\/r*r))\/(r**(2\/17)\/(r*r*r**3)))\/((r*r\/r**(3\/7))**(-2\/67))**(2\/7) assuming r is positive.\nAnswer: r**(193507\/55811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71*v**2 + 30*v**2 + 308 + 117*v**2 + 90*v**2 + 37*v**2 with respect to v.\nAnswer: 406*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/728*21\/75?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w + 0*w**4 + 7\/10*w**5 - 4 - 7\/3*w**3 + 0*w**2. Find the second derivative of j(f) wrt f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6782 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 56 = m + 2*w, 5*m - 62 = w. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511546050 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.18333231 and 0.5.\nAnswer: 0.591666155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-3 - 21 - 3)) + 0. Which is smaller: 31 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + (164 - 118) + 59?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/(a\/(a*a\/a**0*a))*(a\/(a\/(a*a**(-1)*a)*a))**(-1\/33) assuming a is positive.\nAnswer: a**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, x: 1, e: 1, m: 2, h: 1}. Give prob of picking 1 e and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*h**3 - 851*d*h - 438*d + 1 wrt h?\nAnswer: 6*d*h**2 - 851*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87210 and 319770.\nAnswer: 959310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90618166 <= 90618168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**3 + 19*p**2\/2 - 21*p - 4362. Calculate c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*w - 28*w + 79*w + 19*w.\nAnswer: 164*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + l + 340. Let c be p(0). Is c - (-3 + (7 - 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 divided by -1?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(2\/61)))\/(x\/x**(-8))*(x*x**(-1\/3))\/(x\/((x*x**(13\/4)*x)\/x)))**(1\/25) assuming x is positive.\nAnswer: x**(-3697\/18300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 - 1918*x**2 + 498304*x - 18039704 = 0.\nAnswer: 43, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39454 - 56340313\/1428. Do -1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1797 - -1926.1. Let w = 2.1 - m. Let h = w - -127.093. Round h to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(15\/2) + (-9853272)\/(-5655) is divided by 195?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51943977 and 54?\nAnswer: 103887954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 260?\nAnswer: -4420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -448 - -440. Let p = -11 + 6. Sort p, -2, f.\nAnswer: f, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = v - 4*c, -v + c + 6 = 0. Let b = 3 + v. Suppose -2*m + 2*f - 53 = -145, 4*f = -b. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 25 = -4*u, 14*s = 13*s + 4*u + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1ca9ea?\nAnswer: 1ca9e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 695*y**9\/504 - y**5\/30 + 62*y**3\/3 - 675*y**2. What is the third derivative of o(j) wrt j?\nAnswer: 83400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1996478, -1996473, -1996466, -1996457, -1996446, -1996433, -1996418?\nAnswer: -1996401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9954 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*j - 0 + 2, 2*j = -4*w + 4. Suppose 3*b - 5 - 1 = j. Suppose 7 = -c - i - 2, 5*c + i = -17. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28787 + 6?\nAnswer: -28781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*n = -36, x + 16*n - 15*n = 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 11 + 12 - 4*k + 3*k.\nAnswer: -k + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 3, p: 2, r: 1, g: 1, x: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 3026.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 38. Give v(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -16 + (-84)\/(-6). Solve t = 34*g - 31*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 34 (b) -1 (c) 2\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22601 is divided by 328.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 35 = 2*r, 7*r - 3*r = -s + 91. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2841 + 1891. What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = 4*y. What is the units digit of y + 9 + -3 + 145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1131254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((((f\/f**(-2\/7))\/f)\/f)\/f)\/f)*f*f)**(5\/8) assuming f is positive.\nAnswer: f**(235\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -5, 13, 43, 85?\n\"Answer: 6*u**2 - 12*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15984258 or -15984251?\nAnswer: -15984251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189 - -188.5. Which is the nearest to 2\/3? (a) z (b) 2\/17 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 42*k - 179. Let f be t(46). What is the second smallest value in -4, -0.156, f?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = a + 367335 - 367342, -13 = -4*a + t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/523225 and -97\/1674320.\nAnswer: 8371600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 82460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.31 + -0.01. Let g be -1 - (12\/(-5))\/3. Let l be 1\/(-4)*530\/530. Which is the closest to g? (a) -0.07 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxzw when four letters picked without replacement from {z: 1, w: 3, i: 6, x: 5, v: 1, d: 1}.\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 6. Suppose -3*z = -4*z - 4*i + 10, 2*z = -5*i + 8. Let p be g(z). Suppose p = -5*a + 84 + 171. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48638*j**2 + 875500*j - 288 = 0. What is j?\nAnswer: 8\/24319, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -478 - -479.15. Round x to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2072)\/(-196))\/(-37))\/((-3)\/7)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -616 - -717. What is the remainder when i is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (439 + 3*m - 439 + m**2)*(-1 + 2*m + 1).\nAnswer: 2*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/99 (b) -0.24 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49067 is divided by 195.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 440 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(sqrt(11) + -1 + sqrt(44)))**2 - (-6*(sqrt(77) + sqrt(77) + (sqrt(77)*1 + sqrt(77) - sqrt(77)) - sqrt(77)) - sqrt(77))\/(-3*sqrt(28)\/sqrt(4)).\nAnswer: -301*sqrt(11)\/3 + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + -448bd4?\nAnswer: -448c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7928 and 111704.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31*15 - (2 - 2). Let h = -194 + o. What are the prime factors of (-14)\/(-49) - h\/(-7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8423 by -106.\nAnswer: -8423\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + y + 5. Suppose -2*w = 5*d - 15, 4*d + 54*w - 51*w = 12. Let u(o) = 1 - 2*o - 12 + 0*o**2 + 4*o**2. What is d*u(z) + 7*h(z)?\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4661\/7 + -70489\/105. Let d = 158519\/12 + -13222. Calculate the common denominator of t and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 41. Suppose -1 + a = 5*g. What is the second derivative of -5*p**3 + 6*p - g*p**2 + 3*p**2 wrt p?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515*4\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -11622?\nAnswer: -11630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 487*v\/6 + 163\/3.\nAnswer: -(v - 163)*(3*v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 39 - 45 = 0. Suppose 0 = 4*c - 2*l - 22, -r*l + 35 = -4*c + 60. Let 0*z + 0 - 1\/2*z**3 + 1\/2*z**5 + 2*z**2 - 2*z**c = 0. Calculate z.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 6) to base 3\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/38)\/(9\/10). Let q = 18\/19 + x. Let y = -37 - -184\/5. Sort -3\/2, q, y in ascending order.\nAnswer: -3\/2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4694519718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v = 25*v - 1. Let c be v\/(5\/(-215499999)) - (-10)\/(-50). Round c to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 2.8?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7105183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 1, b: 2, v: 3, c: 3}. Give prob of picking 1 w, 2 c, and 1 v.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/42)\/((-1)\/((-12)\/((-24)\/14)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2 - 8760003*c - 8760000 = 0.\nAnswer: -2920000, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaxa when four letters picked without replacement from {e: 1, s: 2, a: 7, x: 2}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:43 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + n**2 - 4*n - 7. Let l be v(5). Let w = l + 424. Let m = -109 + w. What is the highest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 28*h - 60*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 312.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181287, -197162, -223621, -260664, -308291?\nAnswer: -366502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 3*b - 6*b)*(4*b - b - 4*b) + (0*b + 4*b - b)*(b + 2*b - 2*b) + 4*b**2 - 2*b**2 + 4*b**2 - 3 + 3 + 3*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 197 = -0*d + 3*f, 4*d + 732 = -2*f. Let k = -106 - d. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + 4. Let h be o(3). Suppose -54 = k - 4*i, k + 5*i + 121 = h. Let v be (7\/k)\/(2\/15). What is the third biggest value in -2\/9, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*u + 7. Let l(f) = -10*f - 3. What is the tens digit of l(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v + 1. Let f be k(-5). Solve 5*i - 6 + f = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(-1\/10)*j*j)*j**(-5\/6)*j)**25)**(-37) assuming j is positive.\nAnswer: j**(2035\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -263\nAnswer: -131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = z + 3*z + 123, 0 = -5*d + 5*z + 570. Let j = -13 + d. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122 (base 6) in base 10?\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(891))*6*2 + -5 + (-1 + sqrt(891) - sqrt(891))*-1*-2)**2.\nAnswer: -4104*sqrt(11) + 128665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23088)\/(-719576)*(-34)\/(-18).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((72\/33)\/4)\/((-18)\/(-63)) and -1*3 - 78\/15?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {a: 2, w: 1, o: 1, e: 1, y: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.769966118 rounded to 3 decimal places?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -25*q**2 - 54*q + 17. Let t(c) = -38*c**2 - 81*c + 25. Let h(z) = 7*n(z) - 5*t(z). Find d such that h(d) = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9434, -9366, -9310, -9266, -9234, -9214, -9206?\n\"Answer: -6*f**2 + 86*f - 9514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 - -169. Suppose -5*n + 2*a - 6*a = -65, -2*n + 28 = 2*a. Solve u*z + n = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*a + 18 = 0, -4*a - 7 = -h - 2*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31866, -31855, -31844, -31833, -31822?\n\"Answer: 11*s - 31877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(3600\/18)*110\/(-8)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.884, 2, -0.2, -0.4, -16, -1\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from {x: 2, w: 1, n: 1, q: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**3 + f. Let x be a(1). Let u(h) = h - 7. Let y be u(-7). Calculate the common denominator of (2\/y)\/(x\/265) and 51\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1199, 2375, 3523, 4643, 5735, 6799?\nAnswer: 7835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2558050?\nAnswer: 2, 5, 11, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 34 + 15 - 13*b**3 wrt b.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -3*z + 397, -4*z + 106 = 2*v + 60. Let b = 5 + -3. Suppose -b*s = -3*s + 6. What is the remainder when v is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*j - 3612 = 161*j + 117*j - 369*j for j.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 422, 413, 390, 347, 278, 177?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45.9 + 42. Let m = -1.1 + o. Which is the smallest value? (a) 0.3 (b) m (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146387.\nAnswer: 3, 7, 47, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (6867\/(-6))\/109\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 518\/11 or 46?\nAnswer: 518\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3324 + -3316. Solve 3*l + p + 8 = 0, -3*l + 3*p = -4*l - v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7525 is divided by 788.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/2 - 76995*o - 3236436 = 0. Calculate o.\nAnswer: -42, 51372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4492095773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 - 6*h + 28. Let f be u(4). Sort f, 2, -11, -6.\nAnswer: -11, -6, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20059 + -37?\nAnswer: -20096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640693 at least as big as 1640692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 751 + -401. Let h = m + 348. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -18\/16393511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85134242.9999971 + 85134258. Let p = -15 + n. Round p to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.6328832 * -5\nAnswer: -18.164416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 69183963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*m + j**3*w**2 - 3*j**3*w - 3*j**2*m*w**2 - 54*j**2 - 2*j*w**2 - 5719*m with respect to m.\nAnswer: j**3 - 3*j**2*w**2 - 5719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 2920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-1\/6)*u)\/u*u))**(4\/29))**(7\/11) assuming u is positive.\nAnswer: u**(-70\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500429411.\nAnswer: 500429411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -3126.9 and 0.8.\nAnswer: -3126.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 1 - -5) + 4. Suppose 0 = 3*d + 3*c + u, -2 = 4*d - 5*c - 39. Let x = d + 67. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*u + 56 = 0, -4*l - 24687*u + 24698*u + 112 = 0 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -45. What is the second smallest value in d, 1\/4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44847 times -29?\nAnswer: 1300563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4679558020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1. Let p = -0.3467 - -18.3467. Which is the nearest to u? (a) p (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234787 is divided by 74.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 3*g - 36. Let y be s(0). Put 1\/2, 2\/11, y, -2 in decreasing order.\nAnswer: 1\/2, 2\/11, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l + 5*x = -70, l + x = 18. Suppose -4*f + 72 = 4*q, -5*q + 5*f + l = -94. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2538 and 101\/11844.\nAnswer: 35532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 133.9. Let x = r + -129. What is the third smallest value in x, 1.7, -4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:04 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3338230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Let q(v) = -7*v - 6. Let i(h) = -6*o(h) + q(h). Let a(k) = -3 - k + 3. Determine a(i(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-15)*3\/14*-4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24 (b) -0.7612 (c) -25 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 3*g**3 + 4*g**2 + 9*g + 3 - 3*g**2 - 11*g. Let d(p) = -2*p**3 - p**2 + 4*p - 2. Give 5*d(x) + 4*j(x).\nAnswer: 2*x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17755*q + 11540755. Give h(650).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.92744 - -17.9. Round o to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 33. Let d = 11 + r. What is the second smallest value in -1, d, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 + 4.5823. Let t = 0.017699669 + g. What is t rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 10*l**2 + 10*l - 12. Determine x(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 4. Let v(r) = r**3 + 6*r**2 - 6*r + 5. Let s be v(-7). Let d be b(s). Suppose d = 3*q, -2*i = -4*q + 9 + 3. Solve 0 = -i*m + 5*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658 = -50*w - 502 - 1874 - 1016 for w.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:34 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/1501 or -1?\nAnswer: -6\/1501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-10 + (4 - 1)). Suppose 5*r = r - 16, 5*q = g*r + 111. Solve -3*m - 14 - 17 = -4*n, n = 3*m + q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 41*m - 8940 = -19*m. List the prime factors of m.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from miiiiiiimmiiiiiimi. Give prob of sequence mmim.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by -108.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3616*g**2 + 2*g**3 + 3616*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4161614 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/(5\/45). Let u = j - -17. Let s(h) = -h**3 - 4*h**2 - 6*h - 3. Let w be s(-4). Solve -b = -u*k + 17, 5*k = -5*b + 8*b + w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 6:41 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/9340 and 39\/318494.\nAnswer: 3184940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 40 = -5*q, 7 = -5*k + 2*q - 27. Let u be (k\/(-10))\/(((-128)\/(-10))\/(-8)). Is u < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6660 divided by -111.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 4*i**2 - 8*i + 17. Let q be g(-6). Suppose f - 9 = 3*a, -a - 3*f - 3 = -0. Sort 0, q, a in descending order.\nAnswer: 0, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 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: Suppose 3*j - 53 = -h, 85 = 5*j + 2*h + 3*h. Suppose -3*x - 3 = -j. Which is the closest to 2? (a) x (b) 2\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/6 + 3*p**2 + 40*p\/3 = 0?\nAnswer: -10, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -805, -1610, -2415, -3220, -4025?\n\"Answer: -805*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/13900 and 22\/10425?\nAnswer: 41700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1215, -3851, -8243, -14391, -22295?\n\"Answer: -878*b**2 - 2*b - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2 + 3. Let f = k - -1. Solve 3*i - f = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -521754*i**3 - 149*i**2 - 819360.\nAnswer: -3130524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65471784 to the nearest integer?\nAnswer: 8091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 3*v. Let x be r(2). Is 1*(-3 + x) - -2154 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1.3 (c) -0.2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y - 3*y + 4*w + 14, 0 = -3*y - 5*w - 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -68*p**2 - 147*p - 9. Let r be (-12)\/(-10)*10\/2. What is the remainder when (r\/5)\/(2\/80) is divided by j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 64*w - 63*w = -67, 0 = -4*h + w + 53. Calculate the remainder when 48 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 27*x = -5. Suppose 5*d + 0*n = 4*n + 20, x*d + 15 = -3*n. Suppose -11*o + 12*o + 5 = d. Which is the closest to -9\/5? (a) o (b) 1\/5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 4*g + 5. Let p be w(-4). Suppose 5*z + 2*m - 3*m - 5 = 0, 0 = m + p. Sort -2, 1, z in decreasing order.\nAnswer: 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 0 = 3*q. Let h be (16\/6 + -2)*6. Suppose -3*i = -h*n - 29, -q*i - 2*i = n - 10. Solve i + 2 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - (-2)\/(-3). Let f = 1 + 1. Let b be (f - 2) + 2\/(-4). What is the nearest to i in b, 4, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 495, 4, -14501 in increasing order.\nAnswer: -14501, 4, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12803 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/120 - j**5\/10 + 3*j**4\/8 + j**3\/2 - 13*j**2. Let p be s(4). Suppose 0*z - p*z + 560 = 0. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (600\/7)\/(((-81)\/9)\/(-63)). Suppose -6*h - o = -10*h. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/435528 and 27\/4.\nAnswer: 435528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -303278\nAnswer: -303283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5134, -41930, -141802, -336286, -656918?\nAnswer: -1135234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d**2 + 1 - 5*d**3 - 16*d**2 + 4*d**2 + 3*d**2 + 8*d**3 in the form z*d**3 + h*d + q + f*d**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6 + 9. Let b be (-45)\/(-6)*(-8)\/(-12). Suppose 40 = u*m + b. Calculate the remainder when 18 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 175 + 36 + 32203*t - 241 in the form u + f*t and give f.\nAnswer: 32203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -26.7, 5\/3, 6, -2\/19, -1\/5 in descending order.\nAnswer: 6, 5\/3, -2\/19, -1\/5, -26.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1837*x + 22065. Give l(12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1202\/8 - 1\/8*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 s when four letters picked without replacement from ppsppsppppssspsssps.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 1671600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-386)\/(-1158) + 26\/(-6))*-16\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -296? (a) 141 (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4188031, 4188034, 4188039, 4188046, 4188055, 4188066, 4188079?\nAnswer: 4188094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((19\/25)\/(36\/144))\/((-2)\/(-10)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 904 + -898. Suppose -4*w + 42 - 6 = 0. Solve 15 = -w*n + r*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-180)\/40.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-918)\/221 - (-4)\/1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -23 in increasing order.\nAnswer: -23, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - j = -1 + 7, 6 = 3*j. Let b be t\/3 + 44\/12. Let m be -6*(2 + (-8)\/3). Solve -2*i - 6 = -m*n - 24, 12 = -n + b*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2711 is divided by 539?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -912, 3, 5, -5, -19.\nAnswer: -912, -19, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1031994 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -287208 at most as big as 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**2 - 1\/3*q**3 + 2*q - 2. What is the first derivative of c(l) wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24086*b - 963428. Determine j(-40).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(605) + 0.\nAnswer: 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 4*g**2 + 2*g - 3. Let p be l(-3). Let h(f) = -2*f - 13. Let m be h(-6). Let j = 4 + m. Solve p*u + u - j = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 4*f + 173. Give b(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 8*u**2 - 5*u - 4. Let v be q(2). Let w = v - 11. What is the remainder when 72 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 18.273.\nAnswer: 17.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-1627120)\/(-275) + (-12)\/(-10) + (-4)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 17 + 31. Let m be w + 13 - (-2 - (-1 - -1)). Solve q = 5*r + 5*q - m, 5*r - 5*q = 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -4, 69 in descending order.\nAnswer: 69, 6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 18532505*b + 18532510.\nAnswer: -5*(b - 3706502)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 2*x**3\/9 + x**2\/3 - 4*x + 55. Factor f(k).\nAnswer: 2*(k - 2)*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - t**2 + 2*t. Let o(v) be the third derivative of 1\/20*v**5 - 2*v**2 + 0*v**4 + 0*v + 0*v**3 + 0. Give o(b(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3016*s = 2978*s + 76 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -18, -25, -34, -45, -58?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) -3.78 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1))**(2\/11))**(-2\/39))**39 assuming y is positive.\nAnswer: y**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:10 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 42*g - 228. Let z be h(6). Is z at least as big as -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 3. Suppose -2*g + 22 = 3*q, d = 2*q + 4*g - g. Solve -2*l + 7*l = -q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12932 - 12928. Solve -4 = -l, -12*z = 4*l + h + 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 638, 637, 636?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316025, 316401, 317065, 318023, 319281?\nAnswer: 320845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 26 + -14 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1362312 and 1021734?\nAnswer: 4086936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700) + -2)**2 + sqrt(17) + (sqrt(17)*-2 + 2)**2.\nAnswer: -87*sqrt(17) + 6876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - x - 241 = 0, -112*x - 31 = -2*r - 113*x for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(20)\/sqrt(4)))**2*5 + -4 + 1 + sqrt(12)\/sqrt(6).\nAnswer: sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 15. Suppose x - 108 = -17*x. Suppose x*w - w = 2*d - 6, d = 5*w + a. Solve 3*g = -12 - d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 9*r**2 + 13*r - 121. Is 7 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3144807 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -22*f + 33. Let x(r) = -45*r + 66. Let l(j) = 9*d(j) - 4*x(j). Differentiate l(u) with respect to u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 13*n**2 + 14*n + 3. Let h be k(14). Suppose h*y + 4*z - 20 = 25, -5*y - 2*z = -75. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -145, -229, -419, -757, -1285, -2045?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -781 - -1213. Calculate the highest common divisor of v and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (56226\/21)\/((-11)\/(-77))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 34*o + 27*o + 7*o + 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 - 2*x**2 + 541*x**2.\nAnswer: 539*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(16)\/sqrt(8)))**2 + (sqrt(204)\/(sqrt(36)\/sqrt(3))*1)**2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28761, -28777, -28793, -28809, -28825?\nAnswer: -28841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 24. Let k be z(12). Let w = 8182 - 8187. Which is the second biggest value? (a) k (b) w (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.3 + -5. Let x be (63\/(-15))\/(-3) - (-3)\/5. What is the nearest to -2\/3 in x, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 4, c: 13}. What is prob of picking 2 c and 1 i?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:21 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - 213. Suppose -40*u + 625 - 585 = 0. What is the smallest common multiple of u and w?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671 (base 8) in base 4?\nAnswer: 212321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.97 - 0.33. Let q = -6 - h. Let r = 0.6 + q. What is the closest to 2\/5 in -0.04, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -8, 4 in increasing order.\nAnswer: -8, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -7. Suppose 3*m + 3*d + 2 - 233 = 0, -d = j. Let y be 30\/(-9) - -3 - m\/(-6). What is the highest common divisor of 130 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, 121, 449, 1065, 2059, 3521, 5541?\n\"Answer: 15*p**3 + 9*p**2 - 2*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*q - 1 + 53, 5*k - q = 136. What is the least common multiple of 3 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9964 + -9968. What is the smallest value in n, 2.2, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1960) - sqrt(1960)*-1)\/((2*sqrt(72))\/sqrt(9)) + (4*sqrt(100)\/sqrt(2))\/sqrt(360))**2.\nAnswer: 184*sqrt(5)\/3 + 2789\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -341 + 353. Calculate the smallest common multiple of z and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1326)\/8 - (-1)\/(-4). Let z = -9728 + 9724. What is the tens digit of 2 + z + 4 - u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odalldl. Give prob of sequence alll.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - -94.6. Let p = 53 - m. Let g = 39 + p. Sort -1\/10, g, -0.03, -2\/3.\nAnswer: g, -2\/3, -1\/10, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475991.\nAnswer: 475991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 40*v + 505. What is q(-13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16) - (-2460)\/160)*8\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149139\/5 + -30007. Let r = 180 + z. What is the closest to r in 0.1, -1\/5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 206. Let m(o) = -o. Let x(r) = c(r) + 5*m(r). What is the units digit of x(-46)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23189.\nAnswer: 23189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = 2. Let j = 28 + -27. Let y = -1\/4 + -1\/4. Which is the closest to j? (a) y (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 2337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.011839 + 0.26134. What is y rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48.343 - -42.3432. Let g = z - -6. Round g to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/f*f**(-7)*f**5\/f**2)\/(((f*f\/f**7)\/((f*f\/((f*f**(-1\/7))\/f))\/f))\/(f**(3\/7)\/(f*f\/(f*f**(3\/5)\/f)*f))) assuming f is positive.\nAnswer: f**(-122\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -8. Let u = 5 - b. Let z(s) = -s. Let y be z(-7). Solve -u*n + y = o, -o = 4*n - 1 - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6. Suppose 17 = 2*s + 5*r - k, 3*r - 3 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {s: 1, g: 1, q: 4, k: 5, v: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1008)\/(-864)*198\/3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**3 - s**2 - 102. Let o(l) = -7*l**2 - 4*l. Give 5*n(g) - 2*o(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -16*u - 7154 - 6*u**2 + 7154. Let q(i) = 2*i**2 + 5*i. Give -3*o(n) - 10*q(n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10110011111010?\nAnswer: 10110011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 248 and 4.3.\nAnswer: 252.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000168239 rounded to seven dps?\nAnswer: 0.0000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - 0.6. Let m = 0.4 + -1.3. Let i = m - -1.1. What is the third smallest value in 2\/7, x, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 6*h**2 + 20*h - 66. Calculate b(4).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + (27 - (22 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 17.4396?\nAnswer: 17.7396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 762d?\nAnswer: -761f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37721\/9 - 4191. Factor z*p**2 + 0 + 4\/9*p.\nAnswer: 2*p*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, x: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/9)\/(2\/(-3))*-3. Which is the biggest value? (a) -0.4 (b) 78 (c) l (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 107, -4, 2 in increasing order.\nAnswer: -5, -4, 2, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 113*j + 404. Suppose q - 14 = -3*o, 0 = q + 2*q + 4*o - 47. Calculate the remainder when v(116) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -903?\nAnswer: 6321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 294\/(-4)*(-5)\/(60\/56). Let t(g) = 3*g**2 + f*g - 343*g. Let o(b) = -18*b + 7. Let s(n) = 17*n - 6. Let a(w) = -6*o(w) - 7*s(w). Determine a(t(u)).\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33335 * 87.\nAnswer: -29.00145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 745530 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6703 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/83 + 78\/415. Suppose 0 = 4*c - 17*c - 156. What is the nearest to -0.1 in c, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) 0.01 (c) -10 (d) 0.0283 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 0 (c) -0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687361 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64333\/134407 + -100\/211. Let b = z - 35047\/2548. Calculate the common denominator of b and -111\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*2 + sqrt(2057))**2 + 2 + sqrt(68)\/(sqrt(12)\/sqrt(3))*4.\nAnswer: 4*sqrt(17) + 18515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262297253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 0. Let t be x\/9 + 2\/3. Let r = 5 - t. Which is greater: 2\/9 or r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4, 7.8, 0.2, 1\/77, 0 in descending order.\nAnswer: 7.8, 0.2, 1\/77, 0, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -21*j - 20. Let u(g) = 7*g + 7. What is 6*i(o) + 17*u(o)?\nAnswer: -7*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 + 0 - 1 + 2 + (-1 + 4 - 1)*(-1 + 5 - 3))*(k**2 - 2*k**2 - 2*k**2)*(k**2 + k**2 - 3*k**2).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -588*f - 63. Let y(v) = 19*v + 2. Give -2*a(u) - 63*y(u).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 33 = 5*d, -5 + 0 = d - g. Let m(h) = 20*h**3 - 6*h**2 - 13*h + 6. Let x(s) = 9*s**3 - 2*s**2 - 6*s + 2. Let v(l) = 4*m(l) - 9*x(l). Give v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 2599209?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 3*x + 113, 3*b = x + 152. Suppose 5*d - 459 = 2*u, -2*u + 477 = 5*d + 2*u. Calculate the remainder when d is divided by b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91421 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17768708*j**2*n**2 - 1078170*j*n + 19*n**2 wrt j.\nAnswer: 35537416*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -22, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 16) + (-1 - 1 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 1\/2, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 102, 148, 194, 240?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 5*n + 23, 4*f - 2*n - 1202 + 1172 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f = -33*f + 951 + 375 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69924624 and 19070352?\nAnswer: 209773872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4006274099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**5\/10 - m**4\/4 + m**3\/2 - 3*m**2\/2 - 59*m. Let c(n) = -n**3 - 2*n**2 + 2*n - 2. Give -3*c(x) + 2*q(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - x**2 - 21. What is the hundreds digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -27*b**2 + 627*b - 138 = 0.\nAnswer: 2\/9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 271477 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: Let l = -104 - -103.5. Let u be 22*-1*7 + 2. Let h = -611\/4 - u. What is the nearest to 2 in h, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76\/10 + (-2)\/(-5). Let x(n) = -79 + n**2 + 83 - 8*n - 8*n**2 + n**3. Let q be x(t). Solve -12 = -7*o + q*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/12 - 2*f**3 + 32*f**2 + f - 91. Factor b(r).\nAnswer: -(r - 4)*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 7)\/(2 - 0). Let r(s) = 3*s**3 - 2*s + 1. Let k be r(d). Solve k = 4*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1287, -2662, -4117, -5640, -7219?\n\"Answer: 2*t**3 - 52*t**2 - 1233*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 >= 754\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*i - 4*f + 62, 2*i + 33*f - 35*f = -i - 66 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(237\/(-18) + 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 11. Let s = -1365191287 - -1365191274.00000086. Let g = z + s. What is g rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -69882.\nAnswer: -56\/34941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 25*n + 17. Let g(x) = -9*x - 6. Let l(k) = 17*g(k) + 6*m(k). Let i(d) = -6*d**2. Determine l(i(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 1 - (23 - 31). Let m(o) = 3*o**2 + l*o**2 - 10*o**3 + 9*o**3 - 2*o**2 + 0 + 5. Suppose -3*u + 5*h + 8 = -5, -4*u = -5*h - 19. Calculate m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8545 <= -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 267 = -203*c. Let i(r) = -3*r**2 + 2*r + 2. Let o(f) = -7*f**2 + 5*f + 3. What is c*o(n) - 5*i(n)?\nAnswer: n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -16. Suppose 16 = u*r + r. Let m(w) be the first derivative of w**4\/4 - w**3 - w**2 - 4*w - 33. Calculate m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 + 6*d**2)*(-61 + 28 - 32 + 2*d).\nAnswer: 6*d**3 - 195*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 + 19156\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15240.24 rounded to the nearest 100?\nAnswer: -15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19059 + -10618. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/5)\/8*(-25)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 12*x + 7. Give h(-6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17476, 70028, 157636, 280300, 438020, 630796?\nAnswer: 858628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(3))**2 + sqrt(21)\/(sqrt(14)\/sqrt(2)).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4629631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = -3*l - 8*k, -5*l + 17 = -2*k. Suppose 9*f = l*f - 6. Let i(j) be the third derivative of j**5\/20 - j**4\/12 - j**3\/6 + 2*j**2. Calculate i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 + 5*h - 15. Let t be u(4). Let l be 1\/((-3)\/(-9)) + -6. Let g be (-4)\/6*(l - 9). Solve g*a = t*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by 15589.\nAnswer: -11\/2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1112879 or 0?\nAnswer: -2\/1112879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47533 + 333429\/7. Let h = j + -100. What is the second biggest value in 0.02, h, 2\/13?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6188)\/68 - -92)*8\/(-34)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u + 0*u**2 - 9 + u**2 - 2*u**2 + 3. Let t be l(-5). Suppose 0 = -z - t*z - 20. Which is the second smallest value? (a) z (b) -2\/13 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 5. Let j(n) = -11 - n + 4*n + 4*n - 4*n. Determine 3*j(f) + 7*l(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.2 + -24.8. Let f = k + 31. Put 1\/4, f, 4 in ascending order.\nAnswer: f, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 4*l**2 - 3*l - 1. Let h = -8 + 12. What is the tens digit of f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 6, 0.02, -2\/11, -3\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17971687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1269802 is divided by 1178.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1254.963 - 3161.334. Let n = x + 1907.300963. Let p = -0.93 + n. What is p rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, y: 4, h: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -765 + 1571. Suppose 3*y - i = -x, 3*x - y - 2410 = -6*y. Suppose -11*r + 1994 + x = 0. What is the remainder when r is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1827 is divided by 504.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 5:29 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -12. Let t = -5.122 + r. What is t rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 40 (b) 2 (c) -4\/119 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 10, -10 = 4*z + 5*q + 23. Let r = 2 + -5. What is the closest to z in 0.5, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((0 + sqrt(3))*-2)**2 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-30)\/(-210)*7\/(-19))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1656.2 + 1495. Round v to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1984809 rounded to the nearest ten thousand?\nAnswer: -1980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -423*a**2. Let t(n) = -n - 1396. Give t(g(s)).\nAnswer: 423*s**2 - 1396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*x = -0*h + 16, 32 = -4*h - x. What are the prime factors of h\/(-12)*42\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + (189 - 29) + -389?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**16 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 127fa - -6?\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31)\/(2170\/(-540))*-21*(-4)\/48. Let d(s) be the first derivative of -15 + 0*s + 20\/3*s**3 + k*s**2. Find the second derivative of d(v) wrt v.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = 18*z + 30. Let k = -6 - -3. Suppose 7 = 2*g + 9. Sort g, k, z, -5 in increasing order.\nAnswer: z, -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 88.9. Let d = g - -89.57. Let c = -0.57047 + d. What is c rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -249*o**6\/20 + 7*o**5\/20 - 5*o**3\/6 - o**2 - 815. Find the third derivative of f(j) wrt j.\nAnswer: -8964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-63)*7)\/((-4)\/(-8)). Suppose 3*m - 5*g = 305, -4*m + 401 = 7*g - n*g. What is the lowest common multiple of 20 and m?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6462497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1\/4, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 2*c**3 - 50*c**3 + 3 - 222*c**3 + 3*c + 11*c**3. Let v be j(-1). Suppose w - 96 = 4*a, -3*a + v = -5*w + 723. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (82 - -3)*29\/(-145).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128\/7 + -18. Let n = 3.4 + 0.6. Which is the third smallest value? (a) o (b) -1\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 7. Let s = 28 + -16. Let k = s - 6. What is the least common multiple of 7 and t(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152952 is divided by 4253.\nAnswer: 4097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 449236 or 449234?\nAnswer: 449236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1)\/(-3) - -6. Suppose 4*i = n + 9, -5 = g*n - 0*n. Let l be 1*((3 - i) + 0). Sort -3, 3, l in decreasing order.\nAnswer: 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1))\/((-2)\/(-4) - (-118)\/236). Solve p = 4*h - 3 + 7, g = 2*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011011 (base 2) to base 15.\nAnswer: 57d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*w + (2*w + 5*w - 3*w)*(114 - 221 + 111) to h + a*w and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130806, 261391, 391976, 522561, 653146, 783731?\nAnswer: 914316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5884, 5929, 5964, 5983, 5980, 5949, 5884, 5779?\nAnswer: 5628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.61 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -10, -0.3, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 8:50 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 5*n + 78 - 3*n + 16*n**2 - 55 - 2*n.\nAnswer: 2*n**3 + 16*n**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*s - 2. Suppose -o - s = -3. Solve 5 = -w + o*w, a = -5*w + 21 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Let o(d) = -3*d**2 - 21*d + 15. Let p(n) = n**2 + 10*n - 8. Let c(j) = g*o(j) + 5*p(j). Calculate c(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -346322?\nAnswer: 1038966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m. Let q be ((-4)\/(-10) - m)*10. Let d = -2 + q. Solve 0 = -d*u + u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2 + 3\/12*8. Sort -5, -37, 2, b in descending order.\nAnswer: 2, b, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*x - 1. Suppose -4*o - 24 = 4*y - 88, y + 4*o - 4 = 0. Let v be 32\/(-140) + (-4)\/y. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiwttwmitwpppwp. Give prob of picking 1 w and 1 p.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*((sqrt(320) + sqrt(20))\/sqrt(4) + 3*sqrt(5)*-1 - ((1 + sqrt(180) + 0)**2 + 2*(0 + sqrt(180)))).\nAnswer: 440*sqrt(5) + 3620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8023 - -24070\/3. Which is the third smallest value? (a) v (b) -2.7 (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*1 + sqrt(96))\/((sqrt(64)*2)\/sqrt(8)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*w + 4115 = -69*w - n, -4*w + 3*n + 4113 = 0. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 4*o + 3. Let y(c) = c**3 + 8*c**2 + 4*c - 16. Let f be y(-7). Suppose -f*n + 8*n = -87. Let h = n - -24. Calculate b(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -30, -41, -50, -57, -62, -65?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (70\/7)\/5*(-7119)\/6. Let o = 3481 + a. Calculate the remainder when o is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(3) - sqrt(9)\/sqrt(48)) + (-2 + sqrt(3) + sqrt(3))*-2 - 2*(sqrt(27)*-1 + 0))**2*-3.\nAnswer: -66*sqrt(3) - 1809\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**4 - 5*s**3 - 7*s. Suppose 4*n - 31 = -11. Let m(q) = 4*q**3 + 6*q. Let k(a) = n*m(a) + 4*h(a). What is the second derivative of k(f) wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**2 + 17*o**2 - 8*o**2)*(2*o - 4*o + o)*(1 + 1 + 2) + 0*o**3 + o**3 + 0*o**3 + (6*o**3 - 2*o**3 - 3*o**3)*(-1 + 3 - 4).\nAnswer: -73*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 18*z + 1. Let n(l) = -l**3 + 9*l**2 + 14*l - 24. Let a be n(10). What are the prime factors of b(a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9) + (-78)\/(-9). Let v be 32\/(-30) + z\/12. Let o = -70 - -71. Which is the closest to 0? (a) 4 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 138*k - 13 - 69*k + 48 - 15 + 102*k.\nAnswer: 171*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75*10\/800*4\/(-3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829*p - 742*p - 522 = 0. Solve -p*h - 385 = -83*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18003*b**3*i**2*u + 2*b**3*u + 9*b**2*i - b*i*u - 3*b*u + 2*i**2*u - 21*u wrt i?\nAnswer: 36006*b**3*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633422.\nAnswer: 2, 3, 7, 38891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -779 - -1?\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -24 - 1. Suppose -k = x*d - 821, -4*d + 5*d - 3284 = -4*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*6\/4)\/((-47)\/(-94))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, c: 5, m: 4}. What is prob of sequence im?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 4*p = -5*j - 12, -4*p + 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2603 - 51a7?\nAnswer: -26a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275331547 to the nearest integer?\nAnswer: 16593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3208235?\nAnswer: 5, 379, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 4 - 1 - 4 + (d**2 - 1 + 1)*(-144*d + 809*d + 204*d + (-2 + 1 + 0)*(2*d - 5*d + d)).\nAnswer: 870*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 157, 401, 731, 1141?\nAnswer: 1625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2205) + 0)*-2 + 5 + 0 + sqrt(2205))**2 + ((sqrt(2205)*2)**2 + 3 - (1 + sqrt(2205) + -1)**2) + -3 + -1.\nAnswer: -210*sqrt(5) + 8844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -164\/5*c - 1764\/5*c**3 + 8\/5*c**5 + 1456\/5*c**2 - 162\/5 + 626\/5*c**4 = 0.\nAnswer: -81, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69151 is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 - 100. Let b(f) = f**2 - 4*f + 2. Let j be b(4). What is the smallest value in c, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 6*q + 3*q)*(-5*q**3 - 2*q**3 + 4*q**3 - 2).\nAnswer: -18*q**4 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19833554 and 33234604?\nAnswer: 1229680348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50 - 13) + 0\/2. Let f = -115 + l. Let p(d) = -d**3 - 27*d**2 + 4*d + 31. Let u be p(-27). Is f bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 2*v**3 + 157 + v**2 - 150.\nAnswer: -2*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 3, g: 2, k: 8}. What is prob of sequence jog?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z + 5*p - 1466, -522 = -z + 5*p. Let t = z - 274. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 63*y + 68*y + 35, 0 = -4*h - 5*y + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (86\/(-10) - (-2 - 4)) + 2. Which is the biggest value? (a) k (b) -28 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 46 = 3*f - 2*f, 4*q = -f + 52. Let c be (40\/q)\/(60\/210). Solve 0 = -2*t - g + c, 0 = 4*t + 3*g - 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100000011011111101 (base 2) in base 10?\nAnswer: -395005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -30\/11 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*c + 14 = -1, 4*z = -c - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13 - 1 = 0. Suppose -6*j = -h*j + 200. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j**3 + 1\/60*j**5 + 1\/60*j**6 + 0*j**4 - j**2 + 0 + 0*j. Find the third derivative of m(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/(-1125))\/((-78)\/22035)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -226*w + 227*w - 14. Solve w*r - 16 = -44 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q + 5. Calculate r(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x - 136. Let a be (-6)\/(-36) - (-265)\/30. What is the smallest common multiple of 84 and c(a)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 29554*f + 147779. Give p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30 + 34)*(122\/14 + (-12)\/(-42)). Solve -a*l + 270 = 9*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65295?\nAnswer: 3, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31406.\nAnswer: 2, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28.82 and 1696171657?\nAnswer: 1696171628.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -12, 29, 124, 291, 548, 913?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/65786 and -83\/70.\nAnswer: 328930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80076 is divided by 15261?\nAnswer: 3771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -55141 (b) -0.74 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -8823.8532373.\nAnswer: -8823.4532373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**2 + 240*d - 79. Let q(o) = 2*o**2 - 76*o + 27. Calculate -6*f(g) - 19*q(g).\nAnswer: -2*g**2 + 4*g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilstssstl. What is prob of picking 1 l and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 6:44 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-96)*-39 + -2 + -4 and 37\/104?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 69817738 and -29456?\nAnswer: 69847194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let q be l(4). Suppose -2*m - 5 = q*m. Is -1\/5 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l = 3*t + 19, 2*l = -2*t + 14. What are the prime factors of (200\/(-12))\/(152\/78 - t)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/(-12) - -1)\/(9\/(-18)). Which is the third biggest value? (a) -2\/13 (b) k (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7750 <= -61995\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.12.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4864771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1 - (17 + -17)) + 25 + -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50717680 less than -0.05?\nAnswer: -50717680.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6249347)\/38)\/(3*3). Let p = 18278 + v. Let x = -766\/29 + 16891\/522. What is the common denominator of p and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 8*h**2 - h - 8. Let w be z(-8). Let p = 2 - w. Differentiate -p + 4*x - 2*x + 0 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - 566?\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223539 is divided by 31869.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -1) + 4 + 0. Let p(u) = -5*u**2 + 2*u + 1. Let d be p(g). Let w = -10 - d. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 6. Suppose 5*k + 0 = 4*u - 4, u - 8 = 3*k. Let i(t) = 15*t - 13. Let l(v) = k*i(v) + 9*b(v). Let d be (6\/(-4))\/((-1)\/2). What is l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.3 (c) 0.3 (d) 51 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 5:19 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -129814 times -67?\nAnswer: 8697538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1. Let d(v) = -v + 6. Suppose t - 4*f = -3, -30 = 2*t - 4*t - 4*f. Let n be d(t). Suppose -5*m = 1 + 4. Let k(z) = z - 3. Determine m*k(y) + n*r(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19137, 19198, 19241, 19260, 19249, 19202, 19113, 18976?\nAnswer: 18785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 602.0199 millimeters?\nAnswer: 0.6020199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4\/12 - k - 1. Let s(m) be the first derivative of u(m). Let f(t) = -67 + 134 - 3*t - 67. Calculate s(f(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 5*d + 966, 5*k - 5*d - 1610 = 0. Suppose 8*w - w = k. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*x + 8, 0 = -2*x - 0 - 8. Let s be n\/3 - (-8)\/12. Suppose 3*l - 28 - s = -g, -2*g - 14 = -2*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + 105\/20. Suppose 15 = l*d + 5. Solve -b = d*b - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13073?\nAnswer: 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*u + 6965, 5*k - 3*u = 3582 + 8058. What is the greatest common factor of k and 279?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61499313, 122998624, 184497935, 245997246, 307496557?\n\"Answer: 61499311*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 65 = 25 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5 and -6\/1501235.\nAnswer: 1501235","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/56 and 113\/18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 5*d - 29. What is a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f. Let b(s) = 5*s - 7. Let o(m) = -m + 3. Let g(h) = -b(h) - 2*o(h). Let u(a) = -4*g(a) + 3*q(a). Give u(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 9*u + 6. Let p be j(12). What is the units digit of (10\/p)\/(2\/(-438))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + u = 1, 2*b - 5*u - 35 = 7*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 4) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 6*t**2 + 6*t. Let q be c(5). Suppose -q*b - 1 + 46 = 0. What is the highest common divisor of b and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.029501 - 39366535\nAnswer: -39366534.970499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-15))\/(1\/(-12)). Suppose q*p - 5*v - 114 - 282 = 0, 4*p + 5*v = 356. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 42 - 33 = 0. Let r(x) be the first derivative of 0*x**2 + 3 + 2*x + 1\/4*x**4 + x**3. Calculate r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 5*i**3 + 2*i + 2*i**3 + 1 + 2*i**3 as n*i + x + q*i**3 + u*i**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 + -88 + 98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.2564 + 0.0436. Let p = a + -51.30574. Round p to four decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i. Let u(p) = -7*p. Let d(x) = -5*f(x) - 3*u(x). Let w be d(-2). Calculate the remainder when (22\/4)\/(w\/(-4)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let a(i) be the second derivative of 0*i**3 + 0*i**2 - 5\/6*i**4 + 0 - i. Calculate v(a(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11446\/25875 - 6\/2875. Let i = 13.5 - 13.3. Put u, i, 20, -2 in increasing order.\nAnswer: -2, u, i, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**2 + 18*t**2 - 24*t**2. Let v(j) = 2*j**2 + 5*j + 5. Let g(q) = 4*q + 2*q**2 - 2*q + 2 - q**2. Let p(y) = -5*g(y) + 2*v(y). Calculate p(c(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 - 999\/189.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 22*z + 3*q = 3, -4*z - 5 = -5*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1625, 11 in ascending order.\nAnswer: -1625, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/10)*i*i\/i**(1\/7))\/(i**(-14)*i*i\/i**9*i) assuming i is positive.\nAnswer: i**(1537\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7 - (-112 - -103)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 63. Solve 2*l - 3*r - 13 = -0*r, -20 = 5*l + v*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*h, -6*p = -4*p - 3*h - 4. Let b = 8 - 10. Let z be 0 - (-5 - (b + 2)). Sort -3, p, 2, z in decreasing order.\nAnswer: z, 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3607 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172398\/11 or -15673?\nAnswer: -15673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(3*sqrt(48))*2)**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28447, -58159, -87871, -117583?\n\"Answer: -29712*s + 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m. Let f = 26 - 25.7. Put m, f, -4 in descending order.\nAnswer: f, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*m + 66*m - 237 + 213 = 2*k - k, 4*k = 3*m - 131 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 4*m + 16, 6*z - 3*m = 11*z + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 3*n + 3*v, -5*n - 200 = -1124*v + 1126*v for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083629 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 15, 37, 75, 135, 223, 345?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*z + 38*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (sqrt(52) - sqrt(13)) + 3 + ((sqrt(130) - -2*sqrt(130))*1)\/((2*sqrt(90))\/sqrt(9)))**2.\nAnswer: 30*sqrt(13) + 469\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 30701.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5390, 5411, 5442, 5489, 5558, 5655, 5786?\nAnswer: 5957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198949, 9, -0.26 in descending order.\nAnswer: 198949, 9, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -337 equal to -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53 - 57) + 10 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*m = -49784 - 70510, 0 = 2*b + 4*m - 60162. What is the thousands digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10640\/(-1995) + (-115)\/15 + 61*(-2 + 3).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**32\/(g**(-1\/2))**(2\/19) assuming g is positive.\nAnswer: g**(2433\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33464.\nAnswer: 2, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let s(c) = -11416406*c. What is k(s(d))?\nAnswer: 11416406*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 751. Suppose -4 = 2*k, 3*f + 0*f = 5*k + 10. Is u(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*w + 20 = -110*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1)\/6 - (9 - 6414\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 + 244\/11*y**2 - 102\/11*y - 2\/11*y**5 + 0 - 184\/11*y**3 = 0. Calculate y.\nAnswer: 0, 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197 divided by -6.\nAnswer: -197\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.6 - 26.67. Let i = u - 2.043. What is i rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 0 + 0*n + 1\/3*n**3 + 1\/24*n**4 + n**2. Let j be g(4). Solve j*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.013 - -1.013. Let t = 0.6 + -0.1. What is the nearest to 0 in t, 3\/4, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/167 in -22, -1, -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 8813 - k + 3004 in the form r + w*k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -21*o + 6. Let c(z) = 85*z - 25. Suppose -s = -4*i + 14, 3*s + 6*i - 8*i = -22. Determine s*c(r) - 25*q(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9692228 rounded to the nearest ten thousand?\nAnswer: 9690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-15))\/(2\/(-10)). Let f(d) = 3*d**2 + 15. Let n(s) = -s**2 - 4. What is l*f(m) - 15*n(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 + 2 = 3*b, 0 = -2*b. Suppose 8 = -m + 4*c + 2, 5*c - 2 = j*m. Let q be (-1)\/(-6) - 10\/(-12). Sort q, m, 3 in increasing order.\nAnswer: q, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -377 + 203. Let f = u - -174.5. What is the nearest to -0.2 in -4, 0.39, f?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3667488?\nAnswer: 5\/3667488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-3))\/(2\/(-6)). Let o(r) = 9*r**3 + 2*r**2 - 1. Calculate the least common multiple of 3\/3*d\/1 and o(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 32487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*k + 5*c + 3, -3*k + 13 = c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**3 + 276*m**2 - 132*m + 138. What is p(39)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 45*s**3 - 12288*s**2 + 836405*s - 9. Let n(l) = 45*l**3 - 12290*l**2 + 836405*l - 10. Let q(g) = 9*n(g) - 10*o(g). Let q(z) = 0. Calculate z.\nAnswer: 0, 409\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18400\/(-1380)*27\/(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57232 less than or equal to 629546\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2299) + 2)*3 + -1 - (5*(sqrt(1216) - sqrt(1216)*1 - sqrt(1216))*-6*2)**2.\nAnswer: -4377619 - 99*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71609157493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985841 is divided by 188?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*h - 4 = -153*h + 6. Put -2, -5, h, 2 in decreasing order.\nAnswer: h, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47 and 14523?\nAnswer: 14523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 27*u**2 + 15*u - 1618. Determine k(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 69 = 4*z, -2*z - 2*y - 3*y + 41 = 0. Let s(m) = 14*m - 1. Let w = -7 - -9. Let a be s(w). What is the greatest common factor of a and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 42.1. Let z = 14 - u. Let y = -9.6 + z. Which is the closest to 2? (a) 4 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -63. Calculate the remainder when 48 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 11125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 639\/13. Let t = -0.13 + -5.87. Let s = 6.1 + t. What is the second smallest value in s, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28618, -4, -2 in increasing order.\nAnswer: -4, -2, 2, 28618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 431942, 431943, 431944, 431945, 431946?\n\"Answer: c + 431941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10849176 divided by 10452?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 114. Suppose d*s = 2*x - 74, 6*s = 4*s - 5*x - 24. Is s at most -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Let k be -4 + 11 + w\/4. Let x(b) = b**3 - 8*b**2 + 9*b - 10. Let d be x(k). Solve j - 2*j = 3*a + 5, d*a + 2*j + 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbjfbjbjbbbkbj. Give prob of sequence fbkb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (308\/8)\/(-7)*-58 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 2, o: 4, j: 1}. What is prob of picking 2 u, 1 j, and 1 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 11\/6*q**3 + 0*q**4 + 1\/5*q**5 + 8*q**2 + 0 + 0*q. Find the first derivative of c(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + q + 45 = 2*q, -5*p - 2*q - 64 = 0. Let x = p - -16. Suppose -x*o = -9 - 13. What is the remainder when o is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*g + 8*g + 193. Sort 12, -1, -3, g in descending order.\nAnswer: 12, -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - u - 2*u + 0*u + 4*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -279, -284, -289?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -169, -263, -371, -499, -653?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -25211423?\nAnswer: -25211431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k + 40. Let j be l(13). Let h = 15 + j. Find the third derivative of -3*s**h + 26*s**2 - 12*s**3 + 0*s**3 - 10*s**2 wrt s.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 280 + 40 = 0. What is the lowest common multiple of 6 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 23*o - 62. Calculate u(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 14, r: 5}. What is prob of picking 1 r and 2 h?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080573 and 589110.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-376)\/(-3) - 0) + (-32)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 + u + 6. Let x(t) = -3*t**2 + t + 5. Let b be (-30)\/(-9)*24\/20. What is b*o(s) - 5*x(s)?\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + 83\/(130725\/(-127500))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4310883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + h + 4*h)*(8 - 2171*h**3 + 1175*h**3 + 1270*h**3 + 12).\nAnswer: 548*h**4 + 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/3 + 9028*j**2 - 1364200*j\/3.\nAnswer: 4*j*(j - 50)*(j + 6821)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 363569741 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 5.44.\nAnswer: -15.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -7. Let f = u - -48. Solve -f*o - 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3375 and 2149389?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0661 + 4.0661. Let l = -2 + 0. Let n = l - 2. Which is the smallest value? (a) r (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1667, 3148 in decreasing order.\nAnswer: 3148, 1667, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:15 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -4 (c) 120326 (d) -0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - r**3 + 118347*r**2 - 118347*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114\/5 or -23?\nAnswer: -114\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4\/3 - 1456*l**3 + 4364*l**2\/3 = 0. What is l?\nAnswer: 0, 1, 1091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 4 (c) 2\/29 (d) -0.3 (e) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - 12*x + 1. Let q be i(-5). Let n be (-63)\/q*(-4)\/(-3). Suppose -2141 = -8*d + 3*d - 2*p, -n = -2*p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*d + 110176, -2*d + 32927 = -5*f - 11138. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t + 16*t + t**2 + 12*t - 47*t.\nAnswer: t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (-70 + 82) - 30?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327, 315, 299, 279?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((2\/6)\/(38\/(-76)))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}