diff --git "a/data/dm_maths/full_data_2/10586_11255.jsonl" "b/data/dm_maths/full_data_2/10586_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10586_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 5498 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -177. Calculate the greatest common factor of 765 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/19)*w**(-1\/6)\/w)**(-45))**(-3\/8) assuming w is positive.\nAnswer: w**(-5175\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 2. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 3, h: 1, c: 2}. Give prob of sequence ha.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 d, and 1 i when four letters picked without replacement from {k: 1, v: 1, d: 2, i: 1, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 3*(1 - 2). Let l(t) = 5*t**3 + t**2 - 4. Let m(f) = f**2 - 1. Let o(h) = i*m(h) + l(h). Differentiate o(a) wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {z: 3, a: 15}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:55 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 - 5 + 9*j**2 - 5.\nAnswer: -j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 49, -2, 4 in decreasing order.\nAnswer: 49, 9, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -16, -0.1, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25069 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*(1 + 4)*2 + 3. Let k(l) = -9*l + 4. Give k(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11479987 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6 and 39\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*o - 137, 0 = 2*o - 2*x - 49 - 41. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let f(k) = k**3 - 5*k**2 + 2*k + 1. Determine f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 262*y**3 + 44*y**2 - 86*y + 4. What is o(2)?\nAnswer: 2104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/5 + 2*t**4\/5 - 24*t**3\/5 + 16*t**2\/5 + 16*t - 96\/5 = 0. Calculate t.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 0.2, 2, -1, 87?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/2475)\/((-2)\/10)*30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - -2. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 24*y - 191. Let r be (-2)\/y*-2 + 3078\/405. Solve -b - 3 = -r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 6*k**2 - 7*k + 3. Let m be y(-3). Calculate the common denominator of 29\/14 and (-19)\/m*1 + 24\/32.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*u - 56*u - 722660. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320*g - 1320*g + 467*g**3.\nAnswer: 467*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020022 - -12?\nAnswer: 1020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvdddvdvrvd. What is prob of picking 2 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 - 4*c + 3. Let r be 3\/5 - (-23)\/(-5). Let j(l) = -l**3 + 5*l**2 + 5*l - 4. Give r*a(s) - 3*j(s).\nAnswer: -s**3 + s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*o + 3 - o**2 + 10*o**4 - 3*o**3 + 20*o**4 + 48*o - 15*o - 15*o to f + y*o**2 + v*o + x*o**3 + a*o**4 and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/10)*(a**(2\/69)\/a)\/a*a**(39\/2)\/a**(-3) assuming a is positive.\nAnswer: a**(7117\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 28413\nAnswer: -5682.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*l + 6*o - 105, 0 = 3*l + 5*o - 67. Suppose -3*x - 13 = -3*r - 4*x, -5*r + l = x. Solve v + 3*v - 25 = r*f, 3*f + 21 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -5*h**4\/24 + 2*h**2 + 113*h. Let i(c) = -5*c. What is i(a(s))?\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4330 - -1?\nAnswer: 4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(588) + (sqrt(12) - (sqrt(84)*-2)\/sqrt(7))))\/(6*(sqrt(144) - (sqrt(144) - 2*sqrt(144)))*-4).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 372, 22, -5 in increasing order.\nAnswer: -5, -3, 4, 22, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3832 is divided by 143?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2203 + -2203. What is the closest to -0.1 in -2\/5, a, 100, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3 and -71\/5829972?\nAnswer: 5829972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*((-2*sqrt(55))\/sqrt(11) + -5 - ((sqrt(15)\/sqrt(3) + -4 - sqrt(5)) + (sqrt(245) + 1)**2)).\nAnswer: -494 - 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = -c, 8 = 2*q + 2*q. Let m be (6 + -4)\/(c\/1). What is the first derivative of 1 - m*v**2 - 2*v**2 + v**2 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2 - 14. Let n(p) = -3*p + p**2 + p + 0*p + d. Is 17 a factor of n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**2\/3 - 736*h\/3 + 67712\/3 = 0?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*s - 256, -s - 3 = 2. Differentiate -52*k + 11 + m*k - 2 with respect to k.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814896211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -54319, -3 in descending order.\nAnswer: 7, -1, -3, -54319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 18845026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 7*d - 5. Let h be m(8). Solve t - 3*l + l = 0, -h*t = -l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o. Let h = -478 + 476. Determine r(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 624 = -2*b, 49*i - 5*b + 1253 = 51*i. Calculate the remainder when i is divided by 160.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-20)\/(-6))\/(-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Let u = v + 0. Let g(n) = n**2 - 67*n + 66. Let t be g(1). Solve -5*x + 5 + t = u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - ((5 - -5) + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-55 + 16 + -12 - -32) + -1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:34 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 25*p**2 + 5 + 8*p - 5 + 0 - 1. Is g(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 3*p - 7*p. Let d be 130\/p + (-2)\/(-7). Let g be (-3 + 0)*8\/(-12). Solve g = d*v + 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -b - 3*b. Suppose 4*y - 2 = k + 2, 4*y = -4*k + b. What is the highest common divisor of y and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < -1687561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 110, 116, 126, 140?\n\"Answer: 2*d**2 + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1307 + 1401. Calculate the greatest common divisor of 4042 and v.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 3:00 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20\/12*(-36)\/40\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.053847 to 1 decimal place.\nAnswer: 135.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 5. Let c be (-1 - 2)\/((-12)\/(-16)). Determine v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -3, -4\/3, -1, -676, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 42*i - 82*i + 15 + 7 + 43*i. Let m be x(-9). Sort 3, m, -25 in decreasing order.\nAnswer: 3, m, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 103\nAnswer: 3\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -115*c**8\/56 - 3*c**4\/4 - 5*c**3\/3 - 3*c. What is the third derivative of n(q) wrt q?\nAnswer: -13800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-336)\/(-14)*2\/(-6). What is the lowest common multiple of 5 and (-110)\/(-4)*d\/(-10)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:12 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*y**5 + 67*y**4 - 9*y**3 - 489*y**2 - 102?\nAnswer: -600*y**2 + 1608*y - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, 72, 248, 528, 912, 1400, 1992?\n\"Answer: 52*r**2 - 84*r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8154, 1, -2, -472 in decreasing order.\nAnswer: 8154, 1, -2, -4, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6295157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*b - 1 = -0*b, 2*c + 2 = 2*b. Solve -c*i + 20 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11512 + 0*i**3 - 11510 - 12*i**3 to f*i**3 + q*i**2 + t*i + g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010110001 (base 2) to base 7.\nAnswer: -30262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37.9479l?\nAnswer: 37947.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6815, 7652, 8491, 9332, 10175, 11020, 11867?\nAnswer: 12716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + g - 38 = 0. Let r be (-5 - 4988\/(-998))\/(g\/(-3)). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g + 2. Let t(j) = 9 - 28 + 5 + 13. Let y(v) = 4*t(v) + u(v). Let q(k) = k + 5. Let b(s) = 1. Let h(m) = -5*b(m) + q(m). Determine y(h(f)).\nAnswer: -14*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6688.734l to millilitres.\nAnswer: 6688734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*i + 46 = 0, 5*y - 2*y - 2*i - 18 = 0. Suppose 4*p - 5*w + 6 = 0, 4*p + 2 = -0*p + 3*w. What is the highest common factor of y and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -599*a + 581. Let t be x(1). Let z(g) = 11*g + 202. What is z(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by 9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56387679.\nAnswer: 3, 18795893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, q: 7}. Give prob of picking 1 y and 2 q.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -58101.\nAnswer: 1626828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*j - 9 = 0, 5*n - 2*j + 2 = 8. Let t be (-64)\/(-12)*21\/4. Suppose 0 = 3*b + 5*h - 60, -2*b - 3*h + t + 13 = n. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a + 28*a = -17*a - 19*a. Find r, given that 4\/9*r**5 + 0*r**3 - 8\/9*r**4 + a - 4\/9*r + 8\/9*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76986.7 from -24209230.\nAnswer: -24286216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 12*m - 304*m - 648*m.\nAnswer: -962*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14077 divide 1593840171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 342521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 40*m**2 - 173*m - 65. Let p be s(35). Suppose 4*n + 202 = -3*f, -7*f - 137 = -p*f + 5*n. Is f bigger than -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17911116 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.435*0.038.\nAnswer: -0.01653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from rlieemz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6203876015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 288 - 5*q + q - 281 + 570 - 3706*q**2 to r + t*q**2 + m*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2190 - 2190. Solve -22*w + 25*w - 3*n + 3 = o, 5*w = -2*n - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18625 + -18627. Let l be 2 + -1 + 0 + 1. What is the second biggest value in -0.3, r, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1004, -1881, -2756, -3629, -4500, -5369, -6236?\nAnswer: -7101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppdddp. What is prob of sequence ddp?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -885, -887, -903, -939, -1001, -1095?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*u - 18 = -3*u, 0 = -2*m + 4*u. Suppose 2*c - 4 = m. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1. Let i(h) = 10*h - 5. Let d(b) = 3*a(b) + i(b). What is the units digit of d(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -45. Let d = 50.8 - l. What is d rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 44 = -2*i - 31*u, 4*u - 2 - 3 = 2*i - 0 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46831079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375904 to the power of 1\/2, to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -45, -34, 15, 114?\n\"Answer: 2*w**3 + w**2 - 32*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6714 (base 8) to base 15\nAnswer: 10a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.058 and 4.\nAnswer: 16.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*z + 7338 + 4947 = 0 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.09, -1\/24, -1 in decreasing order.\nAnswer: 0, -1\/24, -1, -1.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -6, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*v**2*x**3 - 4*v**2 - 2*v*x**3 - 10*v*x**2 + 4*x**3 + 3*x**2 wrt x.\nAnswer: 660*v**2 - 12*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = 0. Suppose x = 3*m - 8 - 16. What is the third smallest value in m, 0.5, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 230 + -225. Suppose 5*z + 7080 = i*h, -3*h = -z + 2121 - 6379. What are the prime factors of h?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y - 141 + 89\/5*y**2 - 12\/5*y**3. Factor c(u).\nAnswer: -2*(u - 5)*(18*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 2*p**2 - 2*p + 2. What is i(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 28*u**2 - 5*u - 3. Let p be h(-1). Let c = 32 - p. Is c at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5\/5)\/((-2)\/(-16)) + 4117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46144.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44051 + -20245. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 55 + 8 + 28 - 47 - 2 - 62.\nAnswer: 2*o**2 - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let t(q) be the second derivative of -q**4\/6 + 15*q**2 - 2*q - 27. Give t(l(w)).\nAnswer: -2*w**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = n + 3*b - 0, 4*b = -2*n - 24. Let x be ((-2)\/(n\/786))\/((-1)\/(-4)). Let u = x + -278. Calculate the remainder when u is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (246\/2337)\/(112\/28728)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyzu when four letters picked without replacement from zyuy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 63, -0.4, -0.04, 17, -338, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k**3 - k**2 + 9. Let l(v) = 59*v**2 + 34*v**3 - 24 + 38 + 69*v**2 - 13*v**3 - 130*v**2. What is -5*l(b) + 8*z(b)?\nAnswer: 7*b**3 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3133.099 - -250?\nAnswer: -2883.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/12 - 7*m**3\/2 + 95*m**2 - 1. Let x(b) = 3*b. Give i(x(o)).\nAnswer: -6*o - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 + 10*i**2 - 44*i + 2. Let t(g) = 27*g**3 - 48*g**2 + 222*g - 11. Let a(f) = -2*t(f) - 11*u(f). Factor a(r).\nAnswer: r*(r - 10)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:43 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*h*m**2*y - 13*h*m**2 - h*m*y - 58*h*m - 223*h*y wrt y?\nAnswer: 19*h*m**2 - h*m - 223*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -3 (c) 3\/13 (d) -3540 (e) 0.4 (f) 2\/9 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j + 60 = 15*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124944 divided by -6.\nAnswer: -20824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 2. Suppose -2*p - 38 = 4*z + 4, -2*p - 18 = -4*z. What is the tens digit of c(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149\/18 + -196\/9. Calculate the common denominator of i and 133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05845 rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**2 + 12*s + 7. Let w(z) = -11*z**2 + 23*z + 12. Let k(l) = -9*h(l) + 5*w(l). Calculate k(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - (66 + -97) - -68?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 143778, 143771, 143754, 143721, 143666?\n\"Answer: -x**3 + x**2 - 3*x + 143781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -4295200252?\nAnswer: 4295200257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + (2 - -1) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/40799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326\/(-693) + 382\/4011?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2237040 is divided by 447385?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -46192?\nAnswer: 4619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:36 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 + 363. What is the lowest common multiple of t and 3?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.038498 kilometers to nanometers.\nAnswer: 7038498000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 6, a: 1, n: 1}. Give prob of sequence wn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Round 84.415658 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 7008?\nAnswer: 56064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 3. Suppose 3*q + 32 = 29. Let k be h(q). Solve k - 20 = -4*i, -5*i = -4*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from ttaattazttaatztata.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 5. Suppose 0*c = 3*l - c - 13, -11 = -4*l - w*c. Let f = -5 + l. Is f >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*n = -3*n - 10250. Calculate the highest common factor of n and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 25*a - 138. List the prime factors of h(18).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-165)\/(-476) + (-4)\/(-14) and 81\/33*13002\/7880.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**4 - 1. Let g(b) = -3*b**5 - 2*b**4 + 4*b + 2. Let u(q) = 2*d(q) + g(q). What is the second derivative of u(y) wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 times 624291\nAnswer: 3808175.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*r + 58 = 238, 3*c - 527 = -4*r. What is the highest common factor of c and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 n when three letters picked without replacement from {n: 4, s: 9, h: 3}?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = -50. Let u(y) be the first derivative of -y**3\/3 + 7*y**2 + y - 11. Does 3 divide u(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 5*x**2 - x - 2. Let j be v(-4). Suppose 2*p = -3*z + j, 3*z = -0 - 6. What is the units digit of (-384)\/(-15) + p\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 = -q - 3*b, 4*b = 16. Let g be 3 + 14*1\/q. Suppose 3*v + g = 4*s, v + s = -2*s + 14. Solve 3 - 1 = -v*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130262463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*o = -0*h + 32, -2*o = 2*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30 - (-2 + 0 - 0). Suppose -5*y = -w + 21 - 5, -2*w = 4*y - x. Let q be ((w\/3)\/(-4))\/((-7)\/609). What is the highest common divisor of q and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 v when four letters picked without replacement from xcohxyv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56\/(-84) + (-16682)\/(-3)?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - 72156?\nAnswer: -72166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 16) + 58 + -32?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -63. Let o = 37 + k. Is o\/(-24) + 250\/6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**2 + 10*p + 112 - 112 - 2*p**2 + 4*p**2 + 0*p**2 + (3*p**2 - 4*p**2 + 0*p**2)*(-6 + 1 + 3) to o*p**2 + y*p + a and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.9 + 262.9. Let w = z + -248.64. Let a = 5 + w. Round a to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 - -3.6. Let y = -17.8548 + 19.15487. Let t = y - m. What is t rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Suppose 5*h + 2 - 5 = -2*u, c*u = 4*h - 7. Let p = u + 1. Is p <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68189 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4919, 19687, 44299, 78755, 123055, 177199?\nAnswer: 241187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*sqrt(1539))**2*6*5.\nAnswer: 3324240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87202.\nAnswer: 2, 59, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*x + 2489992 + 11247611 = -5397825. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 - 48*y - 1. Suppose -24*n - 44 = -8 + 156. Calculate z(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04218396 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10789400 to the power of 1\/2, to the nearest integer?\nAnswer: 3285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 278534 + -278386.8632. Let u = t + -147. Round u to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-9\/2))**6)**(2\/7))**(3\/4) assuming l is positive.\nAnswer: l**(-81\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -142222341 (base 7) in base 6?\nAnswer: -532014513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3671680 and 8320.\nAnswer: 47731840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (12\/20 + 0)*270\/4 and 97\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*d + (1 + 0 + 0)*(2*d - d + 0*d) - 20*d - 6*d + 7*d)*(5*d - 4*d - 5*d)*(5 - 2 + 6).\nAnswer: 540*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q**3 + q - 2. Let j be a(2). Let z = 15 + -9. Suppose 4*s - z*s = -j. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 694 and 12.\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.4037 (b) 84 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, e: 7}. What is prob of picking 1 e and 3 n?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40579 is divided by 198.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/8 + 62247*j**3\/8 - 146104791*j**2\/8 - 62247*j\/8 + 73052397\/4 = 0. What is j?\nAnswer: -1, 1, 2698, 18051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 0 + (13 - 1 - 8) + (-97 - -10)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 20024955?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/12431699 or 0?\nAnswer: 3\/12431699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h**4 + 36387276*h**3 - 15762302595864*h**2 + 2275977417507703440*h + 975421788337254816 = 0. Calculate h.\nAnswer: -3\/7, 433182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1940*w**3 - 2*w**2 - 8*w + 6. Let x(a) = a**3 + a - 1. Determine v(g) + 6*x(g).\nAnswer: -1934*g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 57*f + 747. Let b be w(-13). Solve 2*k + 14 = 5*x, 57*x = 60*x - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4525726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + n - 301 + 313 = 0, -3*r + 20 = -4*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 13 - 3*v**3 - 28 + 4*v**3 + v**3 as t*v**3 + x*v + d*v**2 + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7644)\/5880*2\/13)\/((-9)\/(-3015)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1041547500 divided by -437625\nAnswer: -2380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b - 10. Suppose 2*t = -n + 109, -2*t - n = -6*n - 91. What is the remainder when t is divided by x(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25\/4 (b) -0.3 (c) 0 (d) 4\/157 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -132105 (base 6) in base 15?\nAnswer: -38e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k**3 - 20*k**2 + 11*k + 2. Let t(x) = -10*x**3 - 14*x**2 + 11*x + 3. What is -3*h(j) + 4*t(j)?\nAnswer: -10*j**3 + 4*j**2 + 11*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 equal to 3218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 612049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 19*a**2 - 45*a - 60. Calculate v(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 + 124. Calculate the common denominator of 1\/27 and (-5)\/(g\/133) - 5.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 137, -0.3 in increasing order.\nAnswer: -2, -0.3, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712265452 a multiple of 4563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n*n*n*n*n**7*n**31\/n*n\/n**1)**(-8\/7) assuming n is positive.\nAnswer: n**(-288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 84*f + 100*f + (f - 2*f + 2*f)*(-2 - 4 + 4) to the form a + v*f and give v.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {o: 1, l: 2, c: 1, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 - (-8)\/(-14). Let r = -2.2457 + 0.2457. Which is the nearest to r? (a) 0.3 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 29*a - 5. Let y(d) = 44*d - 7. Let s(c) = -c**2 + 15*c + 221. Let q be s(-9). Determine q*y(t) - 7*k(t).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 137\/5, 0.04, -1\/2, -3, 6, 3.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:31 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23 - -5 - 2\/1. Suppose -30*y - 136 = -r*y. Let l = y + 135\/4. Which is the biggest value? (a) 1\/6 (b) -2 (c) l (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 2 + 2*w - 4 + 46*w**2 - 3*w**2 as m + n*w + h*w**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 s when three letters picked without replacement from {e: 2, s: 3, h: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035554 to 4 decimal places.\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/5 + 15012\/2085. Solve 4*h - 32 = -p*z, -3*z = -16*h + 20*h - 29 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6106 - -6106.1. What is the closest to z in -1\/2, -2\/3, -3\/7, -21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 2. Let g be n(1). Suppose -g*j + 3 = -4*j. Suppose -j*q - q = -724. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/2)\/((-9)\/(495\/10)) is divided by (6\/8 + 0)*8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 times 61034?\nAnswer: 1525.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 - 16*g**2 - 16*g + 25. Determine q(-6).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/((-21)\/372))\/(2\/(-4))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose z*w - 5*n - 73 = 0, -2*n = 4*w + 3*n - 144. Let q = -21 + w. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 6*s**2 + 6*s - 1 - 3*s**2 + s**3. Let o(a) = -a**3 - 10*a**2 + 11*a + 4. Let z be o(-11). Suppose z*x - 20 = -x. What is m(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -153*c**2 + 1. Let f(p) = -1225 + 1225 - p. Determine r(f(u)).\nAnswer: -153*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/14)*m*m))\/m)**(-14) assuming m is positive.\nAnswer: m**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 - 1048*y**2 - 18388*y + 19440 = 0. Calculate y.\nAnswer: -243, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 2*m + 4. Let k = -3 - -6. Calculate l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -0.4.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25223.468 from 5.\nAnswer: 25228.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 342 - 37 - 148.\nAnswer: -10*m + 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 99.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/100 - 9*x**4\/5 - 648*x**3\/5 - x**2 - 6. Solve k(q) = 0 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2742*i + 19190. What is g(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25752 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: What is next in 76128, 151491, 226860, 302235, 377616, 453003, 528396?\nAnswer: 603795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 - 52\/3. Let a be 105\/245 + (-512)\/(-14) - 2. Suppose 3*t = -5*q - 50, -3*t - a*q = -31*q + 49. Which is bigger: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from szagsaczgzzaaagzzs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*l = 24, -5*c + 2*l = l - 12. Suppose 2*a + c*a = 70995. Let x = 8499 - a. What is x rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 33*a**2 - 7*a - 6. Calculate the remainder when (402\/4)\/((-7)\/((-168)\/9)) is divided by i(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17444 rounded to the nearest 100?\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0351 and 3.\nAnswer: 2.9649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106, 437, 988, 1759, 2750, 3961, 5392?\n\"Answer: 110*s**2 + s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5093 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58664 is divided by 85.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:57 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/143)\/((-2)\/(-12)))\/(23722\/(-10634))?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 - 6600*v**3 + 5451588*v**2 - 10857016*v - 16315206 = 0. Calculate v.\nAnswer: -1, 3, 1649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 1256671?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 37, 53, 69, 85, 101?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.092427 millilitres in litres?\nAnswer: 0.006092427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772191517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) + -2*sqrt(640))\/(sqrt(8) + (sqrt(72)*2 - sqrt(8)) + sqrt(8)).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 13002\/305 and 42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 651441 to the power of 1\/2, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**3\/3 + 9*w**2\/2 + 8*w. Give q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 943 and 564160.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -698260*l**5 + 195*l**3 + 702473783*l**2.\nAnswer: -41895600*l**2 + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/70)\/(10 - (-388)\/(-40))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 6. Let m be d(3). Let z(k) = 10*k**2 + 6*k + 11. Is z(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15*f = -36. Suppose f*p = 0, 2*z + z - 261 = p. Let j(l) = z*l + l**2 + 89*l - 176*l. Let t(b) = 35*b. Calculate t(j(y)).\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/(-70) + (-14)\/(-49). Let w = -5 - -9. Which is the closest to 0.1? (a) -4 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 31.11.\nAnswer: 155.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - y - 5, -2*w - 2*w = -y - 3. Suppose -5 = -h - w. Let a be (-4)\/18 - 1090\/(-45). Calculate the greatest common factor of h and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 9 = -g - 12, 5*g + 29 = -b. Let n(x) = -3*x. Let l(p) = 2*p. What is g*l(a) - 3*n(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (146 - (355 + -209)) + 15 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3757?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*t + 430*t + 251*t to the form c + r*t and give r.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 - 162*y - 1824 = 0.\nAnswer: -38, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2721 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1773? (a) -3.2 (b) -1 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**7\/420 - s**5\/40 + 2*s**3\/3 + 2. Let j(n) be the third derivative of l(n). Find the second derivative of j(v) wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*d + 20 = 0, 5*x - 4*d - 18 = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 2*x + 1 - 5*x)*(21 - 21 + 31*x**2).\nAnswer: 62*x**3 + 31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-9)\/(-24)*176\/66)*-17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -134.\nAnswer: -59\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 35 = -2*u. What is the remainder when 62 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/99605 and -67\/81495.\nAnswer: 896445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + -1 + -8 + 3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5*v + 79 - 9\/2*v**2. Let s(p) = -p**2. Determine m(s(u)).\nAnswer: 9*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let v = 34 + -32. Let g(x) = -1 + 1 + v*x - 5*x. Determine m(g(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-9)\/(-45)) + 3 - 2*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 27*a - 16*a + 8 = -39*a, 0 = -3*n - 4*a - 0 + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 169.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/5 - 287*f**3 - 689724*f**2\/5 - 112608272*f\/5 - 754951232\/5.\nAnswer: -(f + 7)*(f + 476)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {q: 1, r: 1, p: 9, b: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 9:40 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -163\/5, -2, 8, -6\/115 in descending order.\nAnswer: 8, -6\/115, -2, -163\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 7*c + 4. Let o(j) = j**3 - 5*j**2 + 5*j - 2. Calculate the remainder when k(-2) is divided by o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-56)\/6)\/14*(-12)\/(-124)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 3*u**2 - u - 1. Let h be t(-3). Let f(b) = b**3 + 22*b**2 + 2*b + 48. Let n be f(-22). Put h, 3, n in descending order.\nAnswer: n, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25452*x - 25455*x + 1275 = 0. Are x and 427 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4808, -9618, -14428, -19238, -24048?\nAnswer: -28858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -3, 1\/2, -5, 3, 435 in decreasing order.\nAnswer: 435, 3, 1\/2, -0.13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.014082 rounded to four decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 96037 (c) 3\/4 (d) 0.1 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:32 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169916*z**5 + z**4 - 2*z**3 + 2*z**2 + 146*z + 469.\nAnswer: -10194960*z**2 + 24*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*y + 8, 35022267*y - 48 = 35022265*y + 8*g for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*(-33)\/(1485\/10))\/(4\/2)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608883 is divided by 8951.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2385 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 1, 37406849\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229\/2 + -4807\/42. Which is the closest to -8? (a) 1 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**16*o**(1\/33)\/o)**(3\/4) assuming o is positive.\nAnswer: o**(124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1297, -1338, -1379, -1420?\n\"Answer: -41*r - 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2387851246 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 67\/13 - (16\/(-26))\/(-4). Let w be 2\/13 - (-111)\/39. Solve -20 = y*l - t, 3*l + 9 + w = 4*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-341)\/825 - (-24)\/300. What is the closest to r in 0, -0.1, 2\/201, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:00 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2531 (base 6) in base 8?\nAnswer: -1167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 50972.\nAnswer: 50967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*k - 3*k - 4*x, 5*x = -15. What is the lowest common multiple of 3 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + 4*v - 2*v + 6 - 6*v - 6 + (-1 + 2 + 1)*(4*v - v - 2*v) + 4*v + 2*v - 4*v in the form r + m*v and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 + 154 - 159)*(0*q + 0*q + 2*q**2)*(-33*q**2 + 66*q**2 - 32*q**2 + 3).\nAnswer: -230*q**4 - 690*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28\/51, -42\/11, 355, -7\/4?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1711133 rounded to 1 decimal place?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4) - 9\/(-18). Let q be (-5*1\/z)\/((-16)\/(-32)). Let d(p) = -232*p + 5. Is d(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 12. Calculate n(-7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:56 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -44) + 31 + 4 + -13 + -9 - 5?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/10277 and 18\/23183?\nAnswer: 996869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 3*z**7\/14 - z**6\/2 - 11*z**5\/12 - 5*z**4\/12 - 41*z**2\/2 - 29*z. Let l(a) be the first derivative of b(a). Factor l(w).\nAnswer: 5*w*(w - 2)*(3*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = 0. Suppose 0 = -m*y - 3*y - 6. What is the units digit of 2*((-1)\/y - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*o = -34, 54*z - 53*z - 2*o = -12. Solve -3*a - 29 = -z*k, 13 = 5*k - 7 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587230795 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/(158\/711)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.46 + -0.479. Let m = 6826 + -6832.019. Let l = n - m. What is the closest to l in -0.5, 1\/7, -2\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 1, a: 2, h: 1, k: 4, f: 4}. What is prob of sequence hd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a + 4. Suppose -3*y - 12 = 0, -4*f + 57 - 37 = -4*y. Let g(r) = -r - 1. Give f*m(o) - 2*g(o).\nAnswer: -3*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147763965?\nAnswer: 3, 5, 9850931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1654996 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5535*x + 197. Is w(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -235310?\nAnswer: -57\/235310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 4*i + 4*i)*(2*i**2 - 2*i**2 + 2*i**2) - 5*i**3 + 5*i**3 + i**4 - 3*i**4 + 10*i**4 + 5*i**4.\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 84*m - 168. Let w be k(2). Solve -9*f + 8*f = -4*t + 13, -w*f + 2 = 2*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 17 = -2*y, -761*y + 765*y - 5*d = 19. Let t(u) = 10*u - 67. Give t(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13708 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113132773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -1439. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + g**5 + 2*g**5 + (2*g**2 + 2*g - 2*g)*(2*g**3 + g**3 - 4*g**3) + (2*g - 2 + 2)*(-2 + 4 - 3)*(-2*g**4 - 2 + 2).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 3*g - 2. Give v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 177, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/396 and -121\/18?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 44. What is y(12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 432*i - 332*i - 3*i**2 + 2.\nAnswer: -3*i**2 - 764*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -788*g**2 + 504*g?\nAnswer: -1576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 1, w: 3, z: 2, o: 1, f: 6}. What is prob of picking 1 v, 1 f, and 1 o?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.5 - 42.53. What is the second smallest value in -2, -5, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0222378795 rounded to 5 decimal places?\nAnswer: 0.02224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 18071?\nAnswer: 18082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 10*i + 37. Determine a(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) -3 (c) 0.04 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 107 and 11379371.73?\nAnswer: 11379264.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 10, -11, -50, -113, -206?\n\"Answer: -o**3 - 2*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10549435\/72 - 146345. Let h = 1472\/9 - l. Calculate the common denominator of h and 35\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 - -200. Suppose 2*y = 4*y - o. Solve i - 17 = 4*h, -5*i + y*h + 19 = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 0*o. Suppose o = -13*r + 10*r - 36. Let a(g) = 127*g - 6. Let i be a(r). Round i to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iidd when four letters picked without replacement from iiididdiidiididiii?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 71*x - 66. Let o be h(4). Let g = o - 208. What is the greatest common divisor of 730 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1453106974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 5*p - 0*u + 5*u, 3*p + 20 = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-650) - (-8916)\/(-57954)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13179 or -13180?\nAnswer: -13179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 966 and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0.1, 8 in decreasing order.\nAnswer: 32, 8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*z - 10*z. Calculate the least common multiple of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/5 (b) -1 (c) 141 (d) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**3\/9 - 2*f**2\/3 + 11. Factor t(u).\nAnswer: -u*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 73 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262521680.\nAnswer: 2, 5, 59, 55619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 5*a - 29*a + 0*a + 4*a**2.\nAnswer: a**2 - 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 7*y**2 - 9*y - 7. Let j be a(3). Factor -1\/2*r**j + 0 - r**3 + 1\/2*r.\nAnswer: -r*(r + 1)*(2*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 4, p: 10, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.764 times 0.4?\nAnswer: -12.7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1760\/14671 - -2\/863. Sort 2, i, 3 in descending order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**3 - 2*y**2 - 2*y - 1. Let z be i(-1). Suppose 4*d + g - 8 = 2*g, 3*g - 24 = -z*d. Solve 0 = -0*j - 3*j - 9, -d*n - 4*j - 18 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2094 + 181636 = 13*l - 33240. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-240)\/45))\/(102\/8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 4\/5*a**2 - 4\/5*a**3 + 16\/5*a - 1\/2*a**4 + 66 - 2\/25*a**5. Solve w(x) = 0 for x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 90*h**2 + 1005*h + 257. Determine d(-77).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 5*u - 10. Let p be c(-7). Let s = 8 - p. Let o = 8 - 5. Sort s, o, -5 in decreasing order.\nAnswer: s, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2863 - -3936. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11174 >= -632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.264213 to two dps.\nAnswer: -9.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301031300520 + 0?\nAnswer: -301031300520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329560049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 - (-3)\/1. Let o(j) = 9*j**2 - 2. What is the units digit of o(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 5. Let z be d(6). Suppose -8*p - 9 = -z*p. Let l be 2\/(-6) + 38\/6. Solve -p*v + l*v + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 15*r + 60. What is f(-5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3670 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37388, -74771, -112152, -149531, -186908, -224283, -261656?\nAnswer: -299027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*j**5\/7 + 312*j**4\/7 - 7116*j**3\/7 + 1296*j**2 = 0 for j.\nAnswer: -756\/163, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**7\/630 + b**6\/10 - 27*b**5\/10 + 2*b**4\/3 + 21*b - 1. Let u(m) be the third derivative of c(m). Let u(h) = 0. What is h?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793 is divided by 67?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 56*r + 170. What are the prime factors of w(43)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -426000 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -33e?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3. Let l = -22 - -25. Let r be l\/(-9)*3*-2. Let o(q) = -q + 2. Give r*p(t) + 3*o(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 335 and 687889?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50726 is divided by 148?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 17, g: 2}. Give prob of picking 3 g and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221332 (base 4) to base 5.\nAnswer: 204112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1990*t - 3961*t = -1974*t + 20, -4*q + 12*t = 100 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -23. Let -2*w**2 + 5*w + d*w**2 - 9*w**3 - 11*w**3 + 2*w**2 = 0. What is w?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 31 - 4*x**2 - 6 - 11 to b*x + m + f*x**2 and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = a - 2*a. Let b = 672.2 - 672. Let c = 0.3 + 3.7. What is the third smallest value in a, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, -5 in decreasing order.\nAnswer: 15, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6827 - 6829 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1710, -1733, -1774, -1833?\nAnswer: -1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from ddudxddududddduudd.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360095*k**2 + 687716*k wrt k.\nAnswer: 720190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 + 2*p**2 - p. Let x be b(1). Let s(f) = 0*f**2 + 1 + f**3 - f**2 + 1 - 3*f**2. Let r be s(x). Solve -z + r = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-4))\/((-1)\/80). Let f = 134 - 94. What is the highest common factor of f and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8284 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.96, 0.03, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 59?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 491487 and 38548?\nAnswer: 1965948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*t*t*t*(t\/(t**(-2)*t))\/t)\/(t\/(t\/((t*t*t**(-1\/2)*t)\/t))*t*t**(-3\/4)) assuming t is positive.\nAnswer: t**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 - -331?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -227*u**5\/4 - 2390*u**3\/3 - 5*u**2 - 50*u - 1. Differentiate c(s) with respect to s.\nAnswer: -6810*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52174 is divided by 5712?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.71 + 1.3. Let y = 0.174 + 0.056. Let o = g - y. Round o to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/10)\/(34\/(-780) - (-8)\/104). Solve 0 = -z + f + 8, 2*z + 5*f + 113 = x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8234928 divided by -936\nAnswer: 8798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 260544675?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*f**3*m - 130*f**2*m + 58679*m + 1 wrt f.\nAnswer: -51*f**2*m - 260*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23043302.\nAnswer: 2, 11521651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*h - 80*h + 46*h + 112 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose -3*g + 2*g = 0. Let c = 17 - 16.7. Sort g, a, c in ascending order.\nAnswer: g, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -138*o - 19. Let q be w(8). Let m = q - -2380. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2 - 2*r - 2. Suppose -2*s - s + 19 = -4*t, -23 = 2*t + 3*s. Is u(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37, -40, -43, -46, -49, -52?\n\"Answer: -3*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 20 = -55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.2 (c) -3.09 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(96)*-3 + sqrt(96))\/(sqrt(1200) + sqrt(1200)*-3)*-5.\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 32 = -232 - 273 - 263 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 + 5. Let k = n - 150.2. Let i = -279\/22 + 25\/2. Which is the closest to -3? (a) 5 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/12 + 7*p**2. Let a(d) = -8*d**2. Calculate c(a(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*x + 9 = 2*x + 40, 3*x - 3 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107057 is divided by 94?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 62, 77, 82, 77, 62, 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*w + 88, 0 = 5*m - 4*w + w - 220. Let j be (-353 - 1)*1\/(-8). Let u = m - j. Sort 2, 0.4, u in ascending order.\nAnswer: u, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + t = v - 203, 633 = 3*v + 3*t. Suppose 7*r + 73 = -v. Let n be ((-10)\/(-75))\/(3 + r\/12). Sort 1\/4, 1\/5, n in descending order.\nAnswer: 1\/4, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 48*k + 45*k - 693, -3*a - k + 399 = 0. Which is bigger: 153 or a?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-30))\/((-3267)\/660).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 131?\nAnswer: 34\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-4 - -17) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24528 is divided by 1367?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*r - 13 = -8*r, 0 = -2*k + 5*r - 11. Let i be (-55)\/(-45) - (k - 21\/9). Let 8\/9*m**3 + i*m**2 + 0 - 4\/9*m = 0. Calculate m.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htee when four letters picked without replacement from tehhlrew.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*r - 8, -3*r - 53*q = -57*q + 28. Factor -1\/2*p**2 + 0 + p**r + 1\/2*p**3 + 0*p.\nAnswer: p**2*(p + 1)*(2*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**7\/399 + n**6\/285 - 4*n**5\/95 - 2*n**4\/19 - 120*n + 9. Let s(g) be the first derivative of z(g). Factor s(r).\nAnswer: 2*r**2*(r - 3)*(r + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437 (base 13) in base 5?\nAnswer: -10342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -3*i**4\/2 + 2*i**3\/3 + 3015*i**2\/2 + 1520*i. Differentiate p(h) wrt h.\nAnswer: -36*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139975.\nAnswer: 5, 11, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/6*4\/(-45))\/(933\/(-5598)).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and 4?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24237, -23546, -22407, -20820?\nAnswer: -18785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -1) + -2 - 2) + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-9))\/(489\/1467). Let c(q) = 2*q + 3. Let b be c(-4). Put w, b, -20 in decreasing order.\nAnswer: w, b, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {a: 11, x: 3, k: 2, h: 3}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c. Let q be n(-1). Suppose p = -q*w - 49, -2*p - 44 = 3*w + w. Suppose -4*m - 6 = 30. Is m equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 1 - 2 + 5 + 5. Let c(n) = -1. Calculate -6*c(b) - x(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from aacaaaallacalaiaawwa?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/96 + (-7)\/(-6) + -5. Let j be 9\/(-18) - ((-3)\/(-6) + -1). What is the nearest to v in -3, j, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Suppose 2*m = 5*j - j, 30 = 5*j + 5*m. Suppose -j*a = -5*a + 3. Put a, l, 3 in descending order.\nAnswer: 3, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 4. Let i = g + 12. Let r = 10 + i. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*(3829 + 2))\/((-40)\/20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 9*h + 2*b + 26 = 0, -2*h + 4*b + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 15, -354, -2\/9, 2?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 8*d**2 + 9*d - 9. Suppose 37*f = 34*f + 15. Suppose f*g - 15*g - 1350 = 0. Let j be (-1245)\/g - (-2)\/(-9). Determine r(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 3*p**6\/40 - 7*p**5\/60 + 22*p**4\/3 + 143*p**2. What is the second derivative of s(y) wrt y?\nAnswer: 54*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 319*z + 1371 + 2360 + 879 with respect to z.\nAnswer: 319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 10*i + 7 = 5*i, -m - 4*i - 11 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -823, -4, 0, 1\/4, -4\/7, -7.\nAnswer: -823, -7, -4, -4\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/13))**28*r**15*r\/r**8 assuming r is positive.\nAnswer: r**(216\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -15. Suppose -8 = -4*k, m*k = 3*t - 0*t - 6. Suppose a = -g + 43 + 42, -4 = -t*a. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50624, 34, -1 in descending order.\nAnswer: 50624, 34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = 9*m. Factor -3620 + 3620 - w**m - 2*w.\nAnswer: -w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/51 (b) -4 (c) 1\/5 (d) -0.3 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*t + 3 - 0, 10 = 5*t. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 3221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 + 559\/39. Suppose z*a + 338 = 17*a. Does 48 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyhmhyyhhfqehqfe. What is prob of picking 1 y, 1 q, and 1 e?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (43*n**2 - 14*n**2 + 18*n**2)*(-1 - 2 + 4)*(-3 - 1 + 2) in the form d + j*n**2 + l*n and give j.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - f - 5 + 3)*(-95*f + 359*f + 247*f) in the form w*f**2 + o*f + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.846 - 19. Let j = l - 0.183. Round j to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n - 5 + 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Let o(f) = 4*f. Let q(k) = -4*o(k) - 5*v(k). Let a = 9 - -23. Let b(i) = 32 + i**2 - a - 5*i**2. Determine b(q(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18569 (base 12) to base 14.\nAnswer: -cc5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 5709603.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33307 and 850205.\nAnswer: 16153895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z**3 - 18*z**2 + 5*z + 3. What is the remainder when t(7) is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5 (c) 0.5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -166500074 + 1181044622 - 442537*z - 4*z**3 + 3036*z**2 - 4365731*z + 4560*z**2.\nAnswer: -4*(z - 633)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 9. Let n be l(-4). Solve 4*b = n*b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 25*c + 26. What is g(0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8217)\/(-15345) + (-2)\/(-31). What is the third smallest value in 3\/2, 0.1, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**3 + 311*k**2 + 45*k - 124. Let o be n(-38). Calculate the highest common divisor of o and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917422822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*v**3 + 4*m**2 - 803*m + 57642*v**3 wrt v.\nAnswer: 6*m**2*v**2 + 172926*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.03 and 2.6670013.\nAnswer: -9.3629987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 22. Suppose 0 = 6*z - r*z - 112. Let q = 29\/2 + z. What is the third smallest value in -1, -0.7, q?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 13*n**2 + n + 17. Let z be p(-13). Suppose 7*u - 20 = 3*u + z*d, 2*d = 0. Sort 0.2, 51, u in decreasing order.\nAnswer: 51, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 - 6 = 0. Suppose 0 = -p*v - 0*v + 120. Calculate the remainder when v is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:02 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66695.834 * 8\nAnswer: 533566.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 12) in base 14?\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 51 + 21 = 0. Let f = -34 - w. What is the smallest common multiple of f and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1 + 2*k**2 + 3*k**2 - 4*k**2 + k. Let d(a) = 2 + a**2 - 2*a**2 - 1 + a. Let v(s) = -d(s) + w(s). Let q(m) = -11*m**2. Determine v(q(f)).\nAnswer: 242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281892 is divided by 290?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*12*(22 + -19).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 33 = -5*p - i, -4*p - 5*i = 69. Let s = -8 - p. What is the lowest common multiple of 20 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -871c33?\nAnswer: -871c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1802113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1300) + -5*sqrt(1300)*2 - (sqrt(1300) + 1)*3 - ((0 + sqrt(1300))*5 + sqrt(1300) + -6*(sqrt(1300) - -2*sqrt(1300))))*-5)**2*-2.\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnttntnnnhnh. What is prob of sequence nhn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 + -3 + 2 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b + 2*b. Let d(k) = b + 5 - 11 - k**2. Let t(n) = -33*n**2. What is t(d(r))?\nAnswer: -33*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3062 - -3092. Solve 4*h + k = 5*i - 6, 5*h = i - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1171188243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -441037638*k. Let r(g) = g. Give r(a(m)).\nAnswer: -441037638*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 51 - (-9 - (-3 - 0 - 9 - 2)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peipsqqsewepeep. What is prob of sequence pipw?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {m: 4, q: 3, l: 13}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 32 = 192. Let z = v - -229. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2 + l + 3. Let q be x(0). Let k(y) = -3*y - 3. Let i(s) = 1. Let n(a) = q*i(a) + k(a). Let m(r) = -2*r. What is m(n(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = 5*s - s, 0 = -g - 4*s - 2. Let x be -3*(-3)\/9 - g. Let h = 11\/2 - 25\/4. Which is the biggest value? (a) h (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(2736) - (-1 + sqrt(2736) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and -475?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3383 - -39.\nAnswer: -3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062 is divided by 516?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 5. Let w(c) be the first derivative of -c + 941. Calculate i(z) - 6*w(z).\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 5:24 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 33 = 4*x - 159, 82 = 2*x + r. List the prime factors of x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2378322?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55, 214, 479, 850, 1327, 1910?\n\"Answer: 53*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*g = 22, 3*l = -g - 0*g + 10. Suppose -x + 3 = 3*i - 4*i, 2*i = -l*x - 2. Let t = 7.5 + -7.8. Which is the closest to x? (a) t (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 4*q + q + 3 + 4*q - q**2. Is p(4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589483847?\nAnswer: 589483847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2390 or 2391?\nAnswer: 2391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 11) to base 16.\nAnswer: fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-84)*(894\/745)\/((-3)\/10)?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -0.21. Let m = c + -0.24. Let w = m + 5.09. What is the third biggest value in 0.1, 4, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1814 divided by 6\nAnswer: 907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 2, 5, -4 in decreasing order.\nAnswer: 5, 2, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + 0*t)*(-t**2 - t**2 + 3*t**2) + (0*t - 5*t + t)*(-3*t + t**2 + 3*t).\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -574 - 368. Suppose -9*s = -8*s - k. Round s to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*m + 99*m + 10 - 10.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 7 (c) 67550\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37139 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-3))\/(2\/(-9)). Let n(t) = -1084*t**3 + 261*t**3 + 256*t**3 + 261*t**3 - t + 307*t**3 + 6*t**2 - 2*t - 3. Determine n(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(343) - sqrt(7)))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6264 and 224254332?\nAnswer: 448508664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 13\/112*w**8 + 2*w**2 + 0*w**6 + 0 + 2\/5*w**5 - 2*w + 0*w**4 + 0*w**3 + 0*w**7. Find the third derivative of i(s) wrt s.\nAnswer: 2340*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (14 - (18 + -8) - (2 - 11))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 290391394 to the nearest integer?\nAnswer: 17041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -2852?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 8*b - 3. Let f be k(9). Let p be 2\/f - (-3)\/(-9). Let r(u) = p - u + u**2 - 8 + 2. Determine r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 133 - 299 + 53)*(2 - c**2 - 2).\nAnswer: 365*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2970)\/(-150))\/(-33))\/(54\/20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2 (b) 1 (c) 1\/6099 (d) -3\/5 (e) 4\/5 (f) -0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.33, -0.01, 1\/8, 5, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 24 = 39. Suppose 11 = b*y - 10. What is the remainder when 13 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472834 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.9581131*0.1\nAnswer: 0.09581131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3455*m. Let f(o) be the third derivative of -o**5\/30 + 3424*o**2. Give f(g(y)).\nAnswer: -23874050*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 10. What is w(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*o - 53, o - 4*t = -o + 24. Suppose 3*k + 4*d + 2 - o = 0, -2*k + 2*d = -8. What is the units digit of 6 + k*(-5)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4667322305 to 2 dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(99\/4730)*3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2307*l**2*w**3 - 423*l**2*w - 370*l*w - 3740*w**2 + w wrt w.\nAnswer: -13842*l**2*w - 7480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.618 + -4\nAnswer: -2.382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - 78\/(-12). Let s be h\/(-21) - (-2)\/7. Suppose i - 4*g = 32, -i = -s*g + 5*g - 32. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 4*w = -13184. Let l be ((-56)\/(-20))\/(1\/960). Let h = w - l. Round h to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 5*u - 4. Let r be t(3). Let a = -1\/12 - -61\/156. Which is greater: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) 8 (c) -221 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**3 - 1356*c**2 - 9648*c - 13840 = 0?\nAnswer: -5, -2, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:44 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538682 is divided by 289?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 425*i**2 + 2220*i + 2700.\nAnswer: -5*(i - 90)*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a - 111. What is the lowest common multiple of d(-11) and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j + 11. Give x(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 13. Suppose -k*d + 15 = -6*z + z, 5*d + 5*z - 5 = 0. Suppose -d*l - 36 = -2*a, -2*a - 4*l + 3 + 9 = 0. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 + 24 - 17 - g**2 - g**2 + 4 - 4 + 2*g**2 - 2*g**2 + 2*g**2 + (-3 + 2 + 0)*(3*g**2 + 2*g**2 - 6*g**2).\nAnswer: g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1412 (b) -5 (c) -2171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025918 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (11 - ((-4 - -1) + 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**6*q))\/q*q\/q**(2\/15)*((q*q\/q**(-1\/4))\/q)**(1\/45))**(34\/7) assuming q is positive.\nAnswer: q**(-2669\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -19. Let s = v + -155.97. Which is the closest to -1\/2? (a) -2\/5 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 9 + 4 - 5. What are the prime factors of w(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4310819 = 91*c - 2727852 + 1802986. What is the ten thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 - 3*l**4 - 76*l**4 + (4 - 4 - 4*l)*(-2*l**3 - 2*l + 2*l) as q*l**2 + n*l**4 + a*l**3 + s*l + r and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.68 (b) 4\/5 (c) -2 (d) 5\/4 (e) -35\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.2, -3\/8, 3, -166, -0.1 in descending order.\nAnswer: 3, 0.2, 1\/6, -0.1, -3\/8, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46, 140, 284, 478, 722, 1016, 1360?\n\"Answer: 25*x**2 + 19*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/((-540)\/344) + -6)*301\/(-2086) and -38\/4917?\nAnswer: 24585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000786016 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21220 = -58*m + 78*m. What is the remainder when m is divided by 350?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 350, 2041, 6392, 14729, 28378, 48665, 76916, 114457?\n\"Answer: 221*v**3 + 4*v**2 + 132*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-23)*(n*n\/(n\/(n\/n**(-2\/23))))\/n*n*n)\/(n**(-1\/6))**(1\/2) assuming n is positive.\nAnswer: n**(-5473\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, v: 3, m: 1}. Give prob of picking 2 v and 1 m.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4491758 times 5\nAnswer: -22458790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/220 and -83\/2050?\nAnswer: 45100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -507\/11. Sort 1, y, -1\/7, -0.02.\nAnswer: -1\/7, -0.02, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -661*s**3 - 66*s - 1 wrt s?\nAnswer: -3966*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**3 - 3*c**2 + 12*c - 3. Let h(l) = -19*l**3 - 7*l**2 + 25*l - 7. Give 6*h(u) - 14*p(u).\nAnswer: -2*u**3 - 18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -11. Suppose i + 14 = n + 4*i, i - 10 = -s*n. Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/20)\/(2 + 3 + -2). Let h(z) = 2*z**3 + 2*z**2 + 2. Let r be h(-2). Let p = r + 19\/3. Sort k, 2\/9, p.\nAnswer: k, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b + 2. Let v be m(2). Suppose 20 = y + 4*y. Let l = y + v. Solve 4*f + 28 = l*x, -4*x + 4*f - 3*f = -16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4784\/5 - 288\/5*k + 4\/5*k**2.\nAnswer: 4*(k - 46)*(k - 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/12 + 430\/30 + -13. Which is the smallest value? (a) r (b) 1\/3 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 0 - 5\/12*u**4 + 2*u + 0*u**2 + 0*u**3. Let t(w) = -6*w**2. Determine t(a(l)).\nAnswer: -150*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221 - 1202110?\nAnswer: -1200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1904\/(-1020))\/(((-6)\/(-50))\/(20\/350*-7)).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 20*p + 47192 = 0. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78408 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) - (0 + (-6)\/(-21)). Let s(o) be the second derivative of -o**2 + 3\/20*o**5 + 0*o**3 + o + f + 0*o**4. Differentiate s(j) with respect to j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-19 + 2 + -61 + 75 + 19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 98*j + 1908. Calculate the least common multiple of 6 and s(-63).\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375550.7 rounded to the nearest one thousand?\nAnswer: 376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(152) + -3*(sqrt(152)*1 - sqrt(152)) + sqrt(152) - (sqrt(152) + (4*-1*sqrt(152) - sqrt(152))))\/(sqrt(72)\/(sqrt(1296)*2 + sqrt(1296))*6).\nAnswer: 1 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4028 and 1272.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.934 + 62. Let z = n - 2.066. Which is the biggest value? (a) 1\/5 (b) z (c) 5 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2407\nAnswer: -481.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 10, b: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 70 - 123*l**3 - 73.\nAnswer: -123*l**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 357294.4mm in centimeters?\nAnswer: 35729.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.3 - -6. Let q be (32\/10)\/(7014\/1435). Let i = q - -2\/167. What is the smallest value in i, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 20 = x, 7*x + 48 = 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 6047440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-273)\/279 + 1). Let n = b - 9. Calculate the greatest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**2\/2 - 9*d + 2. Determine p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100 (base 2) to base 4.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/81148 and 97\/4708?\nAnswer: 95511196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 46 = -4*n, -327*n + 322*n + 77 = 4*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8710 divided by 10\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -24\/7, 2\/15, -4, -6.42, -0.5, -0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1792.2 + -1628. Let f = 198 - b. Round f to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -95, -0.1, -0.3, 0.1?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 149. Let r = -80.074 + o. Let k = -2.074 - r. Sort -0.4, -0.1, k, -1\/7.\nAnswer: k, -0.4, -1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-410)\/(-6))\/(22 - -1). Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 2 + 0 + 0*w. Let c = 4 + 13. Suppose -2*q + 2*l = 3*q + c, -3*l - 12 = 0. Calculate h(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t + 2*t**3 + (t**3 - 2 + 2)*(1 - 2 - 1) - 2*t**3 - t**3 + 2*t**3 + 5365*t + 5882*t**3 - 5365*t.\nAnswer: 5881*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -22582330.4 to the nearest 1000.\nAnswer: -22582000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 29.3. Let q = -3 - -3.1. Which is the closest to -1\/2? (a) q (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 5. Calculate y(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60876 and 1292.\nAnswer: 1034892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153.3*-0.0372.\nAnswer: -5.70276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 - -0.04. Let w(l) = -l**3 + l**2 + l + 3. Let b be w(0). Let o be (b\/6)\/(1\/(-2)). Do m and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25985081.\nAnswer: 1223, 21247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -176 + -424d?\nAnswer: -43c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-31) - (-20580)\/1860. Let w(r) = r**3 - 16*r**2 + 56*r - 14. Give w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3166?\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 + 6 = 0. Let k = q - -8. Which is smaller: -3\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 0 + 0)*(-1228 - 3276 - 931 - 3917 + 964 - 2475) to j*b + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -251 + -555?\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 237*j**2 + 78*j + 502. What are the prime factors of o(-9)?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 695813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -67136 not equal to 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 1 - (-8)\/1. Let r(i) = -i**3 + 6*i**2 - 4*i - 1. Calculate r(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*c - 49 = -0*c, -3*c = 6. Let n(w) = 6*w**3 - 5*w**3 - w - 6 + 19 - 9*w**2. Let p be n(o). Solve 3*x + 4*l = 0, 0 = -2*x + p*l + l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 72*q**2 + q - 31. Let l be j(36). What is the greatest common divisor of 505 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and 3\/412933.\nAnswer: 825866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 162839873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b. Let n(k) = -k - 2. Let o be 3\/2 - 6\/(-12). Let i(x) = -5*x - 11. Let m(l) = o*i(l) - 11*n(l). Give a(m(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - d + 3. Let p be r(3). Suppose 5*l - p = 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: Divide -12692157 by -6.\nAnswer: 4230719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/120 and 113\/3100.\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-seven fifths of a microsecond?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/25 in 47, 0, 9.89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {k: 1, v: 1, x: 1, l: 1, f: 2, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpnnppnpnpnp. Give prob of sequence ppp.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/31)*t)\/t*t)**(-5\/7) assuming t is positive.\nAnswer: t**(-165\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 6*r - 3. Let v(k) be the second derivative of k**4\/12 + 10*k**3\/3 + 59*k**2\/2 + 91*k. Let x be v(-16). Calculate j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000025253 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 - 60 = 5*i. Let a be 4\/(-8) - i\/4. Suppose -2*t - 6 = 0, -t = -5*n - a + 48. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 326141*k*t**3 - 138*k*t - 2*t**3 - 30890351 wrt k?\nAnswer: 326141*t**3 - 138*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4528 divided by 1132?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 0 - 2) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14*((2275\/(-28))\/(-13) - 7)*2. Let r(j) be the third derivative of -a*j**2 - 1\/60*j**5 - 1\/3*j**3 + 1\/8*j**4 + 0*j + 0. Suppose r(p) = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:55 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63281951.\nAnswer: 19, 37, 90017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 2*q**2 - q. Let h be a(1). Let o = h - 1. Does 10 divide o\/4 - (-847)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2963371935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17337411 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*u - 3*w, 2*u - 9 = 5*w + 2. Suppose u = 4*p + 5. Find the second derivative of -k**2 + k**4 + k**p + 2*k wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29350592 or 29350585?\nAnswer: 29350585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d**2. Let j(k) = 5. Let g(o) = 3*o - 30. Let y(b) = -g(b) - 6*j(b). Give u(y(w)).\nAnswer: 81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/34)\/((-2)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8134803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 42291*t - 110. Determine p(0).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a**(-5))\/((a\/a**(1\/2))\/a**2) assuming a is positive.\nAnswer: a**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, 0.046, 2\/25, 0.13, -2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-1 + 6)) + (194 - 258). Let v be (138\/(-8))\/(2\/8). Let j = l - v. Put -5, j, 0.01 in descending order.\nAnswer: 0.01, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -66.79 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/80 + 3\/(-5))*(12 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 3*v - 60*j + 32*j + 33*j, 6*v - 3*j + 96 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ggqgggqggg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429361261*a**2 - 5*a - 43617021 wrt a?\nAnswer: -858722522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-12)*(-18)\/63.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 58?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -209 - -104. Let v = r + 84. Suppose 3*b + 3 = 3*g, -g + 3*g - 6 = -2*b. Put 3, b, v in decreasing order.\nAnswer: 3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - 6\/(-4). Let h(w) = 22*w**3 - 1. Is h(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/187*6*-11*2\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87983\/16 + 5500. Calculate the common denominator of 477\/(-540)*(0 - 1) and u.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0058 and -292.\nAnswer: 1.6936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1155157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11786102 is divided by 11786085.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3413*b + 3408*b + 6089 = 1391*z, 0 = 5*z + 5*b - 545 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 134.34 and 319?\nAnswer: 42854.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 5*y**2 + 11*y - 5. Let a be b(-2). Solve 5 = 2*o + a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 2567.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.3, -4, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30436, -30437, -30438, -30439, -30440, -30441?\nAnswer: -30442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20202 and 44499.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1970*i**2 + 607*i + 68960439 wrt i?\nAnswer: -3940*i + 607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 + 2*p**3 + 8*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -230.0397 + 0.0397. Let l = c - -219.9. Let u = l - -10. Put -2\/7, u, 1\/4 in ascending order.\nAnswer: -2\/7, u, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/57 (b) 0.3 (c) -2 (d) 0.05889\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -614217*u**2 + 2*u - 41. Let c be w(-3). What is c rounded to the nearest 100000?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -885 + -17bb?\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 + -7 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1824*i**2 + 3650*i**2 - 1828*i**2 + 1 - 6 + 5.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0 - 3*v - 2\/3*v**3 + v**2 - 1\/12*v**4. Determine u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/11, -1, 25\/4, -131 in ascending order.\nAnswer: -131, -1, 2\/11, 4, 25\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187060 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 - (2 + 6 + -13 + 3 - -12)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.4 - 3.4. Let l = 22.000444 - k. What is l rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**3 + 49*b**3 + 3 - 3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273772217 is divided by 291.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7992.402 nanoseconds?\nAnswer: 0.0000001332067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, 4, -67, -8 in decreasing order.\nAnswer: 4, 3, 0, -2, -8, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-35604)\/24)\/43)\/(6\/(-4))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292903 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -11 - (1 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 8, 1, 4 in descending order.\nAnswer: 25, 8, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a\/a**(3\/14)))\/(((a\/(a\/(a\/a**(1\/8)*a)))\/a)\/a))\/(a\/(a*a*(a\/(a\/(a*a**7*a)))\/a*a))**(1\/8) assuming a is positive.\nAnswer: a**(201\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 14 = 9*g. Solve g*n - n = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2534*l + 20272. What is o(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 264858511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from eeeeepeeeeeeeeeeeeep.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 15471.65?\nAnswer: -61886.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 11*p**2 + 4*p + 6. Calculate y(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14665689 to the nearest integer?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + v + 2*v - 26 = 0, 3*c = 2*v + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302 - -112 - -146 - 68.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-9))\/(-2) + 1\/(-5). Let k be 1 - (44\/(-14))\/(-2). Which is the second smallest value? (a) i (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1\/5, 0.5, 1, 2621, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + (-1 - -6) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 663*r - 993. Let k(b) = -331*b - 497. Let q(c) = -7*k(c) + 3*m(c). Differentiate q(a) with respect to a.\nAnswer: 6*a + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18976*a**2*d**4 - 6*a**2*d - 7*a**2 + 79*d + 6 wrt d.\nAnswer: -227712*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 5*q**2 + 4*q + 26. What is the smallest common multiple of 172 and z(-7)?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmz when four letters picked without replacement from {z: 3, m: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9173 - 1522. Which is smaller: 7650 or t?\nAnswer: 7650","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/70 (b) -3 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(2156) - (-1 + sqrt(2156))) + -1 + (sqrt(220) - -3*sqrt(220))\/sqrt(5) + 4)*2)**2*-1.\nAnswer: -2879 - 256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 544. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -105*t - 3720. Let j be n(-57). What is the greatest common factor of 30 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1101\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -359957, -719898, -1079839, -1439780, -1799721, -2159662?\n\"Answer: -359941*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20187 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) - (-19)\/7. Suppose -l*o = -o - 8. Let d(y) = y**3 - y**2 - 2*y. Let q be d(3). Solve 0 = -4*f + o + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19046*l**6 + l**2 - 13926 wrt l?\nAnswer: 2285520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 4*v**5 - 5*v**5 + 0*v**5.\nAnswer: -v**4*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 5:47 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354338 = -48*x - 1353954 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/18*12576\/(-3668)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700359802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-3) - -3*3. Suppose q + 4 = m. Let k = 28 - q. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 2.61.\nAnswer: -19, -3, 2.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 315545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 67, 124, 261, 520, 943, 1572?\n\"Answer: 7*w**3 - 2*w**2 + 14*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157194, -629131, -1415694, -2516883, -3932698, -5663139, -7708206?\nAnswer: -10067899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 2*f + 16 - 4*f**2 + 3*f**2 + 9*f. What is the units digit of m(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.018723 to 2 decimal places.\nAnswer: 83.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2*1\/4)\/((-2)\/(-8)). Let u be 174\/27 + i + 2\/(-1). What is z in -4\/9 + u*z**2 + 2*z = 0?\nAnswer: -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 + 390 = 14*v. Find the second derivative of 487*b - v*b**5 + 102*b**5 - 531*b wrt b.\nAnswer: 1180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5229371 divided by -1\nAnswer: -5229371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59050*f**2*i**2 - 6*f**2*i - 16*f**2 - 3*f*i**2 + 1149*i wrt i.\nAnswer: 118100*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 2, v: 1, d: 10, n: 2, h: 2}. What is prob of sequence hb?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -310842 + 19997.\nAnswer: -290845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2729 - 0.2729. Which is the nearest to -1? (a) p (b) 2\/3 (c) 3\/4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42762139*z + 41087055.\nAnswer: -42762139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -5296?\nAnswer: 3\/5296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 78782a?\nAnswer: -78783a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1583 - 6?\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049204877 to 3 decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 + 4*y + 5. Let d(h) = -h**3 - 5*h**2 - 4*h - 15. Let u be d(-5). Determine q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-19)\/(-38)*(-26)\/3. What is the closest to 1 in o, -1\/2, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2625*z - 3664 = -2629*z. List the prime factors of z.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 381*d**4 + 47294*d**3 - 446316*d**2 + 1308440*d - 1216032 = 0 for d.\nAnswer: -106, 2, 3, 4, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.11 (c) -16 (d) 3\/8 (e) -2537\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -472+-71\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109865 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9197, -36497, -81897, -145397?\nAnswer: -226997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-936 - 4582 + 1658 - 2584 - 1323)*(4*m + 2*m - 4*m).\nAnswer: -15534*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 457423189, 914846376, 1372269563, 1829692750?\n\"Answer: 457423187*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 13*x**2 + 13*x + 18. Let s be j(14). Sort 3, 0, -4, s in descending order.\nAnswer: s, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 100 = -0*w + 5*w, 3*p - w - 48 = 0. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 54 = -3*x. Let o = x + -12. Let b(v) = v**2 - 7*v + 8. Calculate the lowest common multiple of 4 and b(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1234 + -1232.174. Let y = 11.5 + -10.07. Let c = y - i. Round c to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (10 - 5) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 56160*r + 1. Let b(n) = -n. Calculate b(l(v)).\nAnswer: -56160*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5*u = -105, 3*u - 303 = -f - 332 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6522278310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = -30. Let j(w) = -w**3 + 9*w**2 - 14*w + 9. What is the remainder when j(y) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0168474 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let v(l) = l + 1. Let q(p) = -77*p + 59. Let m(h) = 270*h - 207. Let r(g) = 5*m(g) + 18*q(g). Let j(w) = 2*r(w) - 54*v(w). Determine u(j(n)).\nAnswer: -126*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, -3, 1937, 2.\nAnswer: -8, -3, 2, 7, 1937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 11. Suppose 0 = 3*j - 4*v - 9, 0 = 3*j + 3*v - 5 - 4. Suppose -j*c = 2*c - d. Solve -7 = -n - 2*s, -n - 8 = -c*s - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75062 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4135)\/(-9097)*11\/(-30)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyky when four letters picked without replacement from {y: 3, k: 2, d: 5}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 + 3. What is the tens digit of f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:24 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 4. Suppose 3*y = -12, 4*k - 19 = 4*y + 1. Suppose -k = -4*s - 17. Is 6 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {m: 1, b: 8, q: 1, f: 4, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 3. Let o = 3.1 - 3. Put o, -0.3, q in descending order.\nAnswer: o, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(3900\/6460) + 37 - 8\/(-2)*-3\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxi when three letters picked without replacement from {k: 1, i: 2, x: 1, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3477958841?\nAnswer: 7, 14983, 33161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9650 is divided by 2406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 16*n + 77 - 144)*(-3 - 2 + 3) + 4*n + 19*n - 6*n.\nAnswer: 49*n - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 3, -902, 2, 1, 15 in descending order.\nAnswer: 15, 5, 3, 2, 1, -1, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*w + 6, -w - 2*d - 1 = -6*d. Put 4, w, -1 in ascending order.\nAnswer: -1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 4:33 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20380019939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 94 = -6*z. Let s(o) = -2*o - 6. Let w(y) = 3*y + 5. Let m(v) = 4*s(v) + 3*w(v). Determine m(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-7)\/40)\/((-32)\/(-240)) and -25\/676?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4215 + 4215. What is the closest to -0.1 in m, 0.11, -3, 2\/31?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8282*j - 8257. Determine k(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 42. Suppose 4*b - 24 - i = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by 22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17854, 19000, 20896, 23548, 26962, 31144, 36100, 41836?\n\"Answer: k**3 + 369*k**2 + 32*k + 17452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/44 and (-783)\/168 + (-18)\/(-63) + 2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**7\/5040 + g**6\/48 - g**5\/30 + 3*g**2. Let x(j) be the third derivative of n(j). What are the prime factors of x(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + j + 0*j + 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 725a7c (base 14) to base 5\nAnswer: 1441414030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*((-1824)\/44 + 22 - (-20 - 2)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, -4\/5 in increasing order.\nAnswer: -2, -4\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1505 = -3*b - 2*c, -2*c - 154 - 353 = -b. Let n = b - 392. What is the remainder when n is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223815697 is divided by 3155.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 66425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9644061?\nAnswer: 3, 7, 23, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 530150003377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 9:17 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 8. Let d be r(-12). Suppose 0 = o + k, -10 = -3*o + d*k - 2*k. Suppose -4 = o*x - 14. What is the lowest common multiple of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -128*q + 256. Let u be s(2). Let j = 1 + -0.6. Which is the second smallest value? (a) j (b) -7 (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-7)\/4)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1700284\/79075035 - -4\/127335. Find the common denominator of t and 31\/3.\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.03, -3\/137, 19\/15?\nAnswer: 19\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7971 (b) -2\/5 (c) -474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 14 = 5*w - 0*v, 3*w + 4*v + 22 = 0. Let t(r) = -3*r - 12. Let b be t(-3). Sort b, 42, w in decreasing order.\nAnswer: 42, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27041 is divided by 26504?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1995*k - 4*k**3 - 15 - 1980*k + 27*k**2 + 2*k**3. Let d be m(14). Let y = 72 - 790\/11. What is the third biggest value in -4, d, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 20029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914983490?\nAnswer: 2, 5, 67, 509, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + q + 3*q - 13*q**2 - 2*q**2 + 2*q - 2*q + (-2*q + 3*q + q)*(0 + 0 - q).\nAnswer: -17*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*24\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 170, 335, 498, 659, 818?\n\"Answer: -m**2 + 168*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30619401.\nAnswer: 3, 191, 53437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 24*b**2 + 4*b. Calculate the remainder when 236 is divided by t(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (876\/(-108))\/((-1512)\/(-3402))\nAnswer: -73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 30569870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x - 186 = -858 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 2, 4, 0 in descending order.\nAnswer: 4, 2, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 14. Let s be 0 - (-3 - q)*-3. Determine t so that 16*t**3 + 9*t - t**3 - 82*t**2 + 61*t**2 - s*t**4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*86\/18*(-3429)\/5334?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/54)\/((-133)\/(-57)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 1\/73 (b) 3 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13259, -13252, -13245, -13238?\nAnswer: -13231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppyyyypppyppyy. Give prob of sequence yy.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-165)\/(-12))\/5*(10 + 2) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -114*h + 97*h. Let p(g) = -1. Let a(s) = -9*s**2 + 3. What is h*p(v) + 2*a(v)?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyll when four letters picked without replacement from yllylllyly?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*t - 1107 = 524, -5*w + 5*t = -8195. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 64*x - 71*x + 21*x.\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.15 (b) 4\/3 (c) 16\/25353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 809586830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-4 + 3)*1). Let d = k + 9. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 12*v. Determine n(5).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen eighths of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/4 - 77*u**4\/4 + 289*u**3\/4 + 229*u**2\/4 - 361*u\/2 - 146 = 0 for u.\nAnswer: -1, 2, 4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101623 at most 101635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -336, -506, -676, -846?\nAnswer: -1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/8*h**4 + 1\/6*h**3 + 0*h + h**2 + 0. Determine y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1956 + 1956 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*d + 1, 3*u - 1 = 4*d + 2*u. Suppose f - 14 + 0 = d. Calculate the remainder when 26 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143138.161097 - -143138. What is z rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173118737419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**3 - j**2 + 5*j + j**4 - 2*j - 3*j**4 to h*j**3 + y*j**4 + t*j + s + f*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -242*h**4\/3 - h**2\/2 + 10402*h. Let g(k) = -2*k**2. Calculate g(u(p)).\nAnswer: -1874048*p**4 - 3872*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13222465 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -83\/9159?\nAnswer: -83\/9159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 3:41 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 7) to base 11\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o = -190*o - 234*o + 2429 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*i - 54 - 7, -5*u + i + 161 = 0. Let l = 29 - u. Let q(a) = 0 + 3*a**2 + 0 - 7*a. Let v(o) = 2*o**2 - 4*o. Give l*q(h) + 5*v(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -108625.232 - 3605\nAnswer: -112230.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 166 = 4*u + t, -2*u + 56 = 3*t. Find the third derivative of -40*b**2 + 60*b**2 - u*b**6 - 32*b**2 wrt b.\nAnswer: -4080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16440885 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18128878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + 77*b**2 + 15*b - 238. What is u(-15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8 + 169*k + 18 - 7.\nAnswer: 169*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3788.855 kilometers to millimeters.\nAnswer: 3788855000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8094.816 days in hours?\nAnswer: 194275.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 7*d - 6. Let n be u(-6). Suppose 6*l - 123 - 201 = n. What is the lowest common multiple of l and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5602 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189270741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7687348 (base 9) in base 6?\nAnswer: -224322455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54*-4\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**5\/20 + i**4\/3 + i**3\/3 - i**2 + 3*i. What is the units digit of p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 3. Let d be q(2). Suppose 0 = d*i - 12 - 8. Suppose -i*h = -20, -2*h = -4*v + 2*h - 4. Which is the nearest to -2? (a) v (b) -0.5 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - -19)) + -7 + -6 + 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1331039963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, 1 m, and 1 a when four letters picked without replacement from mwjatjp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (31 - (-19 + 20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.36 + 1.06. Which is the nearest to -0.95? (a) t (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10406 in 1, 7, 0, 2\/7, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/378)\/((-656)\/(-5904)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713*x + 713*x - 2*x**2 + 26*x**2 - 8*x**2.\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.962 - 0.138. Let p = b - -5.1. What is the smallest value in 0.2, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9))**(2\/3)*(l**0\/l)**20 assuming l is positive.\nAnswer: l**(-544\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 684 + -671. Let p = -0.5 - -5.5. Put 2, -2, j, p in decreasing order.\nAnswer: j, p, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607 = 2*f - 23763. Suppose -2*z + 41269 = u, -f = -z + 2*u + 8452. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -1, 203 in increasing order.\nAnswer: -1, 63, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 13*t**2\/2 + 337*t\/4 + 1105\/2.\nAnswer: -(t - 13)*(t + 5)*(t + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z. Let n(t) = t**3 - 9*t. Let c(y) = -3*n(y) + 4*r(y). What is the second derivative of c(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 1 (c) -2\/7 (d) 241 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(75) - -2*sqrt(75)*-3))**2 + 5.\nAnswer: -150*sqrt(3) + 1889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -93. Solve 0 = -l*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -936 and 0.049.\nAnswer: -45.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 + 561.9.\nAnswer: 562.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 79. Let f(q) = 7*q**2. Determine f(r(y)).\nAnswer: 7*y**2 + 1106*y + 43687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 2828 - 2810 + 4*j + 5638.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926*q - 934*q + 1853*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15936936 and 0.079.\nAnswer: 1259017.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475215.2 litres to millilitres.\nAnswer: 475215200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(143))\/sqrt(11) + 2)*-3 + 4*((sqrt(117) + (sqrt(117) - ((sqrt(117) - sqrt(117)*1) + sqrt(117))) + sqrt(117) + sqrt(117) + -4)**2 - sqrt(117)).\nAnswer: -303*sqrt(13) + 4270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/39 and -11\/12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**3 + h**3 + 0*h**3)*(415 - 89 + 285) to a*h**3 + l + u*h**2 + i*h and give a.\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.552 + -0.352. Which is the closest to -3\/5? (a) 3 (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -200 + 26?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t - 7. Let p be v(15). Let j = p - 96. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5212, 5249, 5296, 5359, 5444?\n\"Answer: b**3 - b**2 + 33*b + 5179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 5*l - 5*l + 26 - l**2 - l. What is the remainder when 62 is divided by s(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 3*d**5 - d**5 + (-6*d**3 + 6*d**3 + 2*d**5)*(4 + 3 + 0).\nAnswer: 15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.55705 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/227?\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 6720?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -18. Is d not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/45 <= -4287.83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:07 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 9:25 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -38. Solve -i*t + 0 = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17*d**2 + 49*d. Let h(j) = -6*j**2 - 15*j. Let l(k) = -11*h(k) - 4*x(k). Let y(q) = -q**2. Determine y(l(n)).\nAnswer: -4*n**4 - 124*n**3 - 961*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + 2. Let m be (8\/h)\/(8\/28). Let g(u) = 9*u - m - 6*u + 0. Let t(x) = 3*x - 2. What is 5*g(l) - 4*t(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365659 times 1?\nAnswer: -1365659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(396))**2 + 1 + (sqrt(396) - ((-1 + sqrt(396))*5)**2) - -5*sqrt(396)*-2*6.\nAnswer: -8340 - 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-6)\/l))\/l)\/(((l**(2\/11)\/l)\/l*l)\/l)*l**(-2\/21)\/(l\/l**(-1\/5)))\/((l**(1\/3))**20\/(l\/(l*l**(2\/7)))**5) assuming l is positive.\nAnswer: l**(-661\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 42291376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 14, 53, 128, 251, 434, 689, 1028?\nAnswer: 1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = x - 22. Let s = x + -162\/5. Let g = 665695 + -665695.4. What is the second smallest value in s, 1, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -26, -778 in descending order.\nAnswer: 9, -26, -778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/776 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9348*22.8.\nAnswer: 44.11344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*b**3*d**2 - b**3*d + 396*b**2*d**2 - 17377*d wrt d?\nAnswer: 86*b**3 + 792*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 56*y = 104 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001914009 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9 + 980\/100 - 414\/20*-1466?\nAnswer: 30347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 = 3*t - 2, -t = -4*m + 6. Suppose 2*b = 3*s, -3*b - s + 6 = 28. Let n be (-5)\/((-20)\/b)*t. Solve -n*z = -3 - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -457 + 453. Sort s, -11, -6, 3 in ascending order.\nAnswer: -11, -6, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 24*n**2 - n + 1. Let o be 1 - (2 + 1 + -3). Let x be b(o). Suppose -2*c + 66 = x. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 7*n - 29, -5*n + 22 = 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3093939?\nAnswer: 3, 343771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -622, -619, -616, -613, -610, -607?\n\"Answer: 3*f - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12173\/10 - -1217. Let c(z) = -z - 4. Let q be c(-5). Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 283, 1123, 2523, 4483, 7003?\n\"Answer: 280*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2.01. What is g rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/244902 and -45\/52822.\nAnswer: 2693922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f**3 - f**4 + 3*f**2 - 15*f**3 - f - f**2 + 0*f**2 - 47*f**3 in the form v*f**4 + p*f + r*f**2 + w*f**3 + a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -80. Let m be (6\/i)\/(-3)*2. Let v(r) = 1 - 3*r - 6*r + 0*r. Determine v(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -8. Let v = -3 + g. Let a(c) = -44*c - 32. Let k(x) = 15*x + 11. Let u(l) = -6*a(l) - 17*k(l). Let z(n) = 14*n + 8. Determine v*z(d) - 8*u(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -504*x - 82. Let q be z(21). Let o = -4761 - q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18954 divided by -27.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94886735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**8\/588 - 2*t**7\/735 - t**6\/210 + t**5\/105 - 14*t**2. Factor z(n).\nAnswer: 4*n**2*(n - 1)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3595 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 246\/(-3 + 0). Let g = w + -48. Suppose 2*a = 3*m - g, -20 = -2*m - 2*a + 4*a. Calculate the smallest common multiple of 22 and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25630*d**4 + 42837*d**2?\nAnswer: -615120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 4*k**2 + 3*k. Let o(y) = -5*y**3 - 11*y**2 - 8*y. Suppose 2*z + i - 7 = 0, -8*z + 3*z - i = -16. Let c = -4 - -12. What is c*q(s) + z*o(s)?\nAnswer: s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(13) + (sqrt(1872) - sqrt(1872)*1))*6 + (sqrt(52)*4)\/sqrt(4) + sqrt(117) + 1)**2.\nAnswer: -58*sqrt(13) + 10934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**3 + 8*u**2 + 3*u - 3. Let i(r) = -4*r**3 + 10*r**2 + 2*r - 2. Determine -2*f(j) + 3*i(j).\nAnswer: -2*j**3 + 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 0.2, 27\/239, -43 in increasing order.\nAnswer: -43, -4, -0.3, 27\/239, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16)*2)\/(67\/(11524\/9675))?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1. Suppose -5*q - 2*v = 4, -4 = -q + 3*v + 2. Let o(j) = 2 + q + 0*j + 3 - j. What is -5*f(w) - o(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 34*a**2 - 36*a - 15. Suppose -3*y - 6*y + 315 = 0. Let b be v(y). Round b to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f + 3*k + 1 = 0, 3 = -2*f - k. Which is the third biggest value? (a) -1 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1056*r**2 + 144*r**2 - 1319*r**2 - 837*r**2 - 155*r**2 to the form x + q*r + j*r**2 and give j.\nAnswer: -3223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5 + 38*k**4 + 2*k**3 - 38*k**2 = 0.\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -104021322 (base 5) in base 3?\nAnswer: -212002120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 6*v**2 - 6*v - 1. Let s be m(5). Let b(q) = -4*q - 8. Is b(s) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 = 4*n, -2 = 5*z + 5*n - 7. Let h be z\/(-7) - (-420)\/49. Suppose -d = -2 - 1. Solve -4*r = 4*b + h, b - d*r = r + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4833 and 118.23.\nAnswer: 571405.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12675 is divided by 1468?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*w - 4*w**2 - 11*w)*(-5*w - 10*w + 8*w) in the form h*w**3 + o + p*w + i*w**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 9*s + 110. Let z be b(-16). Put -1, 2, z, 17 in increasing order.\nAnswer: z, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 24676*b**2. Let p(c) = c. What is s(p(w))?\nAnswer: 24676*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 37, 65, 93?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28414.\nAnswer: 2, 14207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -446?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369595022 to the power of 1\/2, to the nearest integer?\nAnswer: 48678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 3, 711, 1\/2, 3\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**8\/420 + v**7\/210 + 2*v**3\/3 - 17*v. Let i(u) be the second derivative of p(u). Suppose i(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-2)\/4*-2. Let j = -0.01 + 0.51. Which is the smallest value? (a) 3 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 7474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190292, -379930, -569568?\nAnswer: -759206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.699 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217 less than or equal to 15350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4*(275\/132)\/(-25))\/((-24)\/(-146)) and (-139)\/(-64)*(-8)\/6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17895 - -966377\/54. Let b = 52\/23 + -100\/207. Find the common denominator of s and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1461, 3951, 7931, 13401, 20361, 28811, 38751?\n\"Answer: 745*f**2 + 255*f + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-615)\/9)\/5*-3 is divided by 6 + -1 + (-77 - -93).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 + 7*k. Let g be r(6). Calculate the greatest common factor of g and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + p - 3*p)*(2589*p + 579*p - 344*p).\nAnswer: -5648*p**2 + 8472*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 19*o**2 + 20*o + 4. Let m be a(-20). Suppose 0 = -0*g + g - m*j - 22, 2*g + 2*j = 24. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-308))\/(14\/56).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 2*t + 32. Let j be k(7). Let n be ((-21)\/14)\/(j\/6). Solve 9 + 0 = n*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7420\/(-42))\/(-53))\/((-5)\/(-156)*4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -6 - -8) + 50\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 731 - 715.53. Let h = q + -49.88. What is h rounded to 0 decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20755001*c**2*h**3 - 7*c*h**3 - 7*c - 2*h**3 + 2663*h wrt c?\nAnswer: -41510002*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9960571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -368515.99997 + 368523. Let u = n - 7. Round u to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 12*t + 5*t**3 + 13*t + 2 + 3 + 5 + 20*t**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367529\/372 - -988. What is the common denominator of i and ((-114)\/4)\/(-22 - 8)?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/5)\/(2\/(-40)). Let j(k) = k + 9. Let z be j(m). Which is the second biggest value? (a) z (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 11. Let b be d(8). Sort b, 8, 3 in increasing order.\nAnswer: b, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 62) + (23 + -10 + -28 - 2).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 9*i**2 - 13*i + 13. Let t be f(-10). Let w be (-3)\/24 - (-90)\/80. Is w less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7635 is divided by 178?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3107 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2044148776 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25244*u = 11*c + 25248*u + 621, 5*u + 295 = -5*c for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-o - o + 0*o)*(-o**4 + 0*o**4 + 4 + 0*o**4).\nAnswer: -4*o**5 + 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 130*c + 10. Let y(k) = 26*k + 2. What is -3*p(d) + 14*y(d)?\nAnswer: -26*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (63 - 63 + 9*n)*(6 + 0 - 4) - 7*n - 26*n + 21*n in the form a*n + q and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/3 + 11245502*q\/3 + 26239472 = 0. What is q?\nAnswer: -5622744, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -27. Suppose 17110 = n - 2*n - 2*j, -4*n - q*j = 68410. What is n rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, -2, -78, 3, 62, -3 in descending order.\nAnswer: 62, 14, 3, 1, -2, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.4 + -0.4. Suppose -2*a = -x - 6, 0 = 5*x - 4*a + 93 - 33. Let r be x\/15 + (-2)\/(-5). Put 1, h, r in increasing order.\nAnswer: r, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -4*n + 7*n + 4*s, -n - 121 = 11*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474820 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: Solve 10*h + 2821 = 2*f + 2933, -2*f + 44 = 3*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**3\/3 + 11*m**2\/2 + 808*m. What is j(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -98\/5? (a) 0.38 (b) 6 (c) 1\/5 (d) 2 (e) -2 (f) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 - (-9)\/4. Let p = -3744 + 3748. Suppose 4771 = 5*i - 0*n - g*n, p*i = -n + 3809. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bcc30 - -1?\nAnswer: -bcc2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(4\/19)\/(z\/(z*(z**(-21)\/z)\/z)))**(6\/17))**22)**(30\/7) assuming z is positive.\nAnswer: z**(-1714680\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:28 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/462 and -139\/759792.\nAnswer: 5318544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84599 - -235?\nAnswer: 84834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46119953 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/6 - 47\/18. What is the closest to 5 in -4, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1476*q**2 - q - 3. Let l be t(-4). Let w = l + 60615. Suppose 3*z + 2*u = -u + 111000, w = z - 3*u. Round z to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 356904834 divided by 78\nAnswer: 4575703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 753712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*h - 4, h + 1 - 2 = 5*y. Suppose 27*p - 32*p + 35 = y. Let u = 35 + p. What is the greatest common factor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -0.3, 2\/77, -5 in increasing order.\nAnswer: -8, -5, -4, -0.3, 2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 333492280 to the nearest 1000000.\nAnswer: 333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/19*f**5 + 252\/19*f**2 + 24\/19*f**4 + 112\/19*f**3 + 270\/19*f + 108\/19 = 0. Calculate f.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1818?\nAnswer: 1\/606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -5*p**2\/2 - 826. Let s(j) = 305*j. Give b(s(u)).\nAnswer: -1525*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(525\/15))\/(5*13).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/480 in 5.2, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 18*t - 22*t + 812. Solve 0 = t*x - 13*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c + 31 - 31 + (2 - 5 + 4)*(226 - 69*c - 226))*((1 - 1 + 2)*(-1 + 3 + 0) - 1 + 2 + 1).\nAnswer: -552*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36725511*v**3 - 21*v**2 + 84348*v?\nAnswer: -220353066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31418690.\nAnswer: 2, 5, 23, 136603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 9*o**2\/2 - 11. Let q(j) = -14*j - 2 + 2. Let b be 1442\/(-182) + 10\/(-130). Give b*m(k) - 5*q(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1043174, 1043267, 1043364, 1043465, 1043570, 1043679?\n\"Answer: 2*a**2 + 87*a + 1043085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/8)\/((-2)\/8). Calculate the common denominator of l\/(-30) + 8\/(-30) and (-3)\/(-12) - (333\/60 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35515, -35382, -35245, -35104, -34959?\n\"Answer: 2*c**2 + 127*c - 35644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704 is divided by 426.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 1. Suppose -7 = -2*w + 3. Let r be f(w). Let t = 28 - 21. Solve r*n + 0 = -4*a + 4, -3*n = a + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 25 = 5*t, r + 4*r = 5*t - 35. Is r equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/6 - (1 + -65). What is t rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 + 38\/133*-28. Solve 34*q + g = 32*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kogg when four letters picked without replacement from {k: 1, o: 2, g: 3, t: 3, v: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -6*p - 126. Let m be (-4)\/p - 16\/(-9). Let h(x) = -124999*x**2 + 3*x - 10. Let t be h(m). Round t to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.888, 1, 1\/5, 1\/4, 2.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 2*h**2 + 2*h + 2. Let w(k) = k**2 - 6*k - 2. Let g be w(7). Let z(l) = -6*l**3 + 5*l**2 + 5*l + 5. What is g*m(p) - 2*z(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*u + 22 = 0, 0 = 4*i + 3*u - 10 - 10. Let t(r) = -3*r**2 + 3 + i*r**2 + 2*r + 0*r. Give t(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-5)*u)*u)\/(u*u\/u**(-16)))\/((u\/(u\/(u*u**6\/u*u)*u))\/((u\/u**25)\/u*u)) assuming u is positive.\nAnswer: u**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5857081261 to the power of 1\/2, to the nearest integer?\nAnswer: 76532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1. Let j(w) = w + 18. Let d(t) = j(t) - 6*o(t). Let l be d(-12). Suppose 0 = 14*c - l*c - 56. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 5a7?\nAnswer: -5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204779 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 2 = -34 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-63))\/(54\/(-12)*5\/15).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 34. Let o(n) be the second derivative of n**3\/6 - n**2\/2 - n. Let j be o(4). Solve j*m = 5*z + 31, -b = -5*m + 2*z - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -11111011110101101?\nAnswer: 11111011110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.73623 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -3. Suppose 0 = 2*u - 11 + 3. Let t = u - 3. What is the greatest common factor of d and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**7\/735 + h**6\/28 - 8*h**5\/35 - 16*h**4\/21 - 5*h**2 - 2*h. Suppose f(y) = 0. What is y?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + -4 + 26 + -13 - -10?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18660 divided by -12\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15289, 15286, 15281, 15274?\nAnswer: 15265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1, 417, 3.\nAnswer: -1, 2, 3, 5, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(5) - -6*sqrt(180))*1 + (sqrt(100)\/sqrt(50))\/(sqrt(160)\/sqrt(4)).\nAnswer: 411*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 8 - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 7*x - 1781. Let o(a) = -4*a**2 + 31*a - 7123. What is -9*b(s) + 2*o(s)?\nAnswer: s**2 - s + 1783","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352858677 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 21*v + 21. Calculate o(14).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.46096 to one decimal place.\nAnswer: -93.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxddxsxrrx. Give prob of picking 1 x, 2 r, and 1 d.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.34133 - -0.765.\nAnswer: 27.10633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 129486, 259111, 388736, 518361, 647986?\n\"Answer: 129625*x - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 30*d. Calculate r(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/2)\/((-5)\/10). Suppose -o*z + 115 = 4*d, 3*z + d + 0*d = 76. Calculate the least common multiple of 72 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k + 7*k + 3*k - 1 + 5*k.\nAnswer: 28*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390229623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.1 + -6.1. Let c = -51 + t. Let u = -29 - c. Put 0, 5, -3, u in descending order.\nAnswer: 5, u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1251\/11 + 116. Find the common denominator of h and 12\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 451226 or 451013?\nAnswer: 451013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 15589 and 16058 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -313 * 5.\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -6, 0 = -2*u - 2*i - 24. Let w = 6 - u. What is the highest common divisor of w and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7365246997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 19, -0.3, -5 in increasing order.\nAnswer: -5, -0.3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.499 to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5622 - -112417\/20. What is the common denominator of 523\/(-42) - 4\/(-14) and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*x - 4*u, -10*u = -9*u + 1. Suppose 4*m + 3*n - 888 = 0, -m + n + 265 = 43. What is j in 24*j**2 + x - m*j + 4*j**3 + 32 + 270*j = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 224*a**3*b + 4*a**2*b - 25*a*b - 48 wrt a?\nAnswer: 1344*a*b + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*l**2 - 154 + 153.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 12. Let a be t(9). Let z be 3\/(27\/276)*a. Let h = 130 - z. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 818 + -1266. What are the prime factors of 2\/(-11) - j\/44?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, f: 2, w: 1, h: 7, t: 3}. What is prob of sequence ftt?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223426814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -483700 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i = -1274743 + 1281607 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/5 + 3052*d\/5 - 52462\/5 = 0. What is d?\nAnswer: -1543, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 + -2 - (2993 - 2987).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 350. Let o be i(0). What is the common denominator of 71\/4 and (8\/30)\/((-4)\/o) - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 143*x - 1832. What are the prime factors of f(74)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t - 1. Let h(p) = -17*p - 3. Let j(w) = 2*h(w) - 5*i(w). Let q be j(2). Does 2 divide (-16)\/(-6) + 7\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/5312 + 7176699\/58432. Let r = 123 - t. Which is the closest to -2\/5? (a) -1 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194, 390, 586?\n\"Answer: 196*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5686670 and 3740?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65\/3 in 5, 2, 3.501, 0.4, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 58973 (b) -4\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -217327364.05 rounded to the nearest ten thousand?\nAnswer: -217330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108.52 + -0.52. Let p = g - 108.0218. Round p to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/568 and -97\/48.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -444 + 282. Let i = b + 236. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-33))\/((b*b\/((b*b*b*b*b**(2\/11))\/b))\/b))\/(((b**(-1\/3)\/b)\/b)\/((b*b\/(b\/b**34))\/b)) assuming b is positive.\nAnswer: b**(2393\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j*k**2*s**2 - 182*j*k**2*s + 3*j*k*s**2 - 2*j*k*s + 5*j*s - k**2*s**2 wrt k.\nAnswer: -2*j*s**2 - 364*j*s - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -37*f**2 - 237*f - 117. Calculate j(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 3. Suppose -38*n + 43*n = -5*d + 883300, 0 = -5*n + 4*d + 883309. Let h(q) = 4*q**2 + 176661 - n. Calculate x(h(i)).\nAnswer: -48*i**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13601 = 1631*t - 3815 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at least -36833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 127, 125, 123, 121, 119?\n\"Answer: -2*u + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*r = -5*r. Suppose 0 = 2*m + 3*m - 5. Is 11 a factor of 3 - 30\/(r - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g - 9*g)*(-5*g + 0*g + 4*g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 239 = 3*a - 15, 4*y = 3*a - 256. Suppose a = 5*s - s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t - 2*t. Solve -2*k - 2 + 4 = -o, t = 3*k + 2*o - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in -7, -4, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276740*o**2*y**2 + o*y**2 - o*y + 59*y**2 - 246*y wrt o.\nAnswer: 553480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17219 = -501*m - 68*m - 5270 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 110*g**2 - 2*g + 1. Let c(t) = 10*t**2. Give n(c(w)).\nAnswer: 11000*w**4 - 20*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from hhkddhdbsadaskhhkdhh.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 163 - 957. Let n be j\/105*(2\/(-2) + 10). Is 9\/n*-2*-1*362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12053403 (base 9) in base 4?\nAnswer: 112123311102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.2 - -170.4. Let u = d - 107.472. Let y = u - -0.072. What is y rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95145763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/(((-27)\/(-4))\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7233 + -178?\nAnswer: 7055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by -3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 180 = 1080. Suppose 0 = -2*q - h + 279. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2246\/9 - -250. Let k be (-2)\/(2\/5)*8\/260. What is the third smallest value in k, 37\/5, c?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 988342*i**3 - 854236 wrt i.\nAnswer: 2965026*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -35*l - 68 + 42*l + 66. Let w(d) = 6*d - 2. Determine 4*w(z) - 3*y(z).\nAnswer: 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 13\/6 (b) -5 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063982241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1560395 + 9\/((-27)\/(-6)). Let x = -2300397 + k. Round x to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -556, 6331, 17816, 33905, 54604?\n\"Answer: a**3 + 2293*a**2 + a - 2851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 80980?\nAnswer: 80980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = 2*t - 12, 5 = s. Let l(r) = 11*r. Let g be l(9). What is the greatest common divisor of t and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 61\/2 of a day?\nAnswer: 43920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40553493?\nAnswer: 3, 317, 42643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooao when four letters picked without replacement from {a: 5, o: 13}?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 135, 490, 1185, 2334, 4051, 6450?\nAnswer: 9645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/6)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/17)\/k)\/(k*k**(-8))*k**(-1\/2)*k\/k**(-2\/11) assuming k is positive.\nAnswer: k**(2455\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 7*g**2 - 8*g - 3. Let m be z(-7). Let i = -29 + m. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyygyyygyy. What is prob of picking 4 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(3) + -4)*-4)**2.\nAnswer: -128*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**2 + 84*l**2 - 17*l**2 + 10 - 10 - 8*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a century in decades?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6 + 538*i**5 - 8*i**2 wrt i?\nAnswer: 120*i**3 + 32280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 651, 1321, 2009, 2715, 3439?\n\"Answer: 9*x**2 + 643*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and -3258833.\nAnswer: -3258827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -763 + 762.99591. What is j rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/((-6)\/(-1)))\/(-5 - 754266\/(-150852))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 16 + 18 = 0. Solve -m = 3*m + h - 4, 2*m - c = -2*h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*o**2 + 822*o**2 - 240*o**3 - 968*o**2.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4 + 188*s**3 + 368*s**2 = 0.\nAnswer: -92, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {v: 9, i: 2, c: 2, w: 3, p: 1, k: 1}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 17952?\nAnswer: 1\/4488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231643709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 7*x - 1. Let t(u) = -3*u + 7725 - 7725. Let m(r) = r**3 + 4*r**2 - 2*r - 3. Let f be m(-4). Determine f*t(j) - 2*o(j).\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 271.5.\nAnswer: 271.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -918*f + 915*f + 6819. Does 86 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 984 - 981.055. What is r rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*g = -217*g + 238. Find the common denominator of 7\/9 and 4\/g + (-1780)\/(-1632).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530 and 40086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10743.35 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 128\/(-10))\/((-18)\/84 + (-21182)\/(-980)).\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -1182 + 1128 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65303 at most as big as 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**2 - 6*g + 5. Let d(i) = -i**2 + i. Let b(j) = 6*d(j) + l(j). Let z(p) be the first derivative of b(p). Let n(k) = 2*k**2. Calculate n(z(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 33434413 (base 5) to base 2\nAnswer: 1001000010100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 3614170.\nAnswer: 39755870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 988 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1704 and 27660?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k - 4 + 4*k + 9*k - 27*k + k. Let f(w) = -w**3 - w - 1. Let p(s) = 3*s + 2. Let n be p(-2). Calculate n*f(v) + u(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 10*u**2 + 24*u + 20. What is y(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 377898627 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvv when three letters picked without replacement from {w: 3, v: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 28 - 216 = 0. Suppose -4*z + 236 = 4*i, 3*i = 2*i + 2*z + n. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 - (93 + -129 - 53)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-6)*w)\/w*(w\/(w\/(w**4*w)))\/w*w)\/(w\/(w\/(w\/(w\/w**11)))*w*(w*w**(-11\/5))\/w) assuming w is positive.\nAnswer: w**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 776*g - 227. What is the tens digit of a(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + c - 7 + c**2 + 7)*(3 + 1 - 1).\nAnswer: 6*c**3 + 3*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1623139, -1623127, -1623115, -1623103, -1623091?\n\"Answer: 12*q - 1623151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -428, -90 in descending order.\nAnswer: -8, -90, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-4 - -11) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -387 + 385. Sort 0, w, -66 in decreasing order.\nAnswer: 0, w, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-161)\/14)\/((-8)\/7904)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 109.0426 nanometers?\nAnswer: 0.1090426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2 + 7. Suppose 4 + x = 4*t - 3*y, -4*y = -4*t + 12. Suppose t = 4*u - 5*p - 205, 0*p - 4*p - 155 = -3*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 753, 1950, 4281, 8124?\nAnswer: 13857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12367, -12336, -12305, -12274?\nAnswer: -12243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.23 (b) 5 (c) -22\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/11 + 166*n**3\/11 + 492*n**2\/11 + 490*n\/11 + 163\/11 = 0. Calculate n.\nAnswer: -163, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 27 = -17. Suppose 1939 - 165 = j*h. Suppose -4*o = -5*o - 4*x + h, 5*x = 2*o - 1748. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:30 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 125*y + 3403. What is q(-27)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -6)*1\/6*5. Solve -1 - 9 = c*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966630463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 4*f**2 - 3*f - 10. Let i be t(-4). Let h be 2 - 30 - (i - 4). Let y = h - -103\/4. What is the smallest value in 3\/7, -3, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 755, 29, 3, -4, -11, -5, 5 in ascending order.\nAnswer: -11, -5, -4, 3, 5, 29, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 11*b**2 + b - 3. Let s be t(11). Suppose -w = w - s. Suppose 0*z - 16 = -w*z. Solve -z*v + 4 = -4*i, -5*i - 5 = -v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -105, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*-5 + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.04, -1\/7, 0.2, -18\/7 in ascending order.\nAnswer: -18\/7, -1\/7, 0.04, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1678458672 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*s - 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 505, 349, 167, -47, -299, -595, -941, -1343?\n\"Answer: -i**3 - 7*i**2 - 128*i + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*v = -2*v - 11, 5*v - 5 = 5*q. Factor 3 - 24 - 24 - 30*b - 5*b**q.\nAnswer: -5*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 7*v - 20)*(0 + 0 - 2*v**2 - 2).\nAnswer: -14*v**3 - 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 1690.\nAnswer: 23\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j - 1\/2*j**2 - 3. Calculate o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3653791 and 36.\nAnswer: 3653827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*s = -6, 11*t - 6*t - 2*s = 48. Calculate the highest common divisor of t and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1292*j - 100759. Calculate c(-78).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 545387, 545390, 545393, 545396, 545399?\nAnswer: 545402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (350\/(-120))\/(-7)*(-24)\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 + 2*z + 1. Let w(u) = -13*u**2 - 4*u - 2. Let x(k) = 5*p(k) + 2*w(k). What is the lowest common multiple of x(-1) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2.1, 1\/3, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2. Let f(n) = -1749*n**2. Calculate b(f(i)).\nAnswer: -3059001*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7043 - -10577. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgmgkcsccckk. Give prob of sequence ksm.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(99) + 2)**2.\nAnswer: 18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 2*b - 1262 + 5*b.\nAnswer: 6*b - 1262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + 54266?\nAnswer: 54217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 2}. What is prob of sequence fzzf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*i + 20*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaa when three letters picked without replacement from {q: 5, a: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313 - -310. Sort q, -11, -4 in descending order.\nAnswer: q, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 7) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(15\/(-55))*-1. Calculate the lowest common multiple of 2\/u - (-2208)\/44 and 1.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191868671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -927*a*b**3 - a*b**2*l + 3*a*b*l**2 - 2*b**3*l**2 - 18*b**3*l - 16*b**2*l + 7*b*l**2 wrt b.\nAnswer: -5562*a - 12*l**2 - 108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 37357 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9806989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 141\/11 (b) -2\/5 (c) 0.2 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o - 5 + 7*o + o + o**2. Is q(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624 and 3016?\nAnswer: 18096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5976224127 + 1.\nAnswer: 5976224128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*((sqrt(2) - (sqrt(2) - (3 + sqrt(8)))) + -2 + -2 + (0 + sqrt(98) - sqrt(98))) + -4.\nAnswer: -4*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 444.424 - 82.394. Let f = 362 - j. What is the closest to -2 in -5, f, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-108)\/(-16)*(132\/(-18))\/11*-76. Calculate the highest common factor of 4826 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 759 - 704. Suppose -s*y = -1431 + 111. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 8 = 0. Solve 0 = -q - 4*d + 22, 0 = b*q - d - 3 + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43, 100, 173, 268, 391?\n\"Answer: h**3 + 2*h**2 + 44*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1506*s - 9948 + 9948)*(-1 + 3 + 0) + 0*s + 0*s - 5*s in the form x*s + d and give x.\nAnswer: -3017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16331 or 2318807\/142?\nAnswer: 2318807\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/39 + 14\/6. Let y(n) = -c*n + 3 - 3. Let h(k) = -5*k + 0 + 0. Calculate h(y(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159604*o - o**3 + 2*o**2 + 159604*o - o**2 - o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) -2.8 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1059 + 2498. Let r = -257 + c. List the prime factors of r.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417803675 to the power of 1\/3, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, r: 6, p: 4, b: 2}. Give prob of picking 2 p, 1 b, and 1 i.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*y**2 - 1175 + 1175 to the form d*y + g + s*y**2 and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 31 = -5*z, c + z - 29 = -3*c. Suppose 30*v - 34*v = -c. What is the highest common factor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*g + 9, 5*g + 15 = 6*b - b. Let a be (2 + g)*1\/(-2). Let f = -3 - 0. Sort a, 3, f in descending order.\nAnswer: 3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1429*u**2 + 1536*u**5 + 1811*u**4 - 4*u**3 - u**3 + 5*u**3 - 1534*u**5 wrt u.\nAnswer: 120*u**2 + 43464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 22?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/108 and -1\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 + 2*g**2 - g**2)*(-g + 2*g - 3*g) + 2819*g**3 - 1409*g**3 - 334 - 1411*g**3 to i*g + w*g**3 + p*g**2 + o and give o.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 22*k + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 + -0.75. Let m = 0.15 + l. Let g be (-13)\/45 + 6\/15. Which is the nearest to -2? (a) -0.4 (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -39*x. Let m(g) be the first derivative of -3*g**3 + 297. Determine m(h(b)).\nAnswer: -13689*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((-195)\/(-33))\/5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let z(x) = 10*x. Let t(j) = -21*j. Let c(v) = 2*t(v) + 5*z(v). Determine c(r(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 24 = s. Calculate the least common multiple of s and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and 0.103131298252?\nAnswer: 6.896868701748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**3 - 5*w**2 + 47. Let o be h(5). What is the greatest common divisor of 175 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10334.\nAnswer: 2, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbkppfpk. What is prob of sequence kf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97439520.999962 - 97439692. Let p = -171 - t. What is p rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 132467, 264122, 395777, 527432, 659087, 790742?\n\"Answer: 131655*w + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 52c0b (base 13) to base 11\nAnswer: a2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r - 4957 = -69*r - 817. Solve -8 = -4*a, -4*b - r*a + 91*a + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122395 is divided by 1020?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 10*p - 5. Let q(m) = -m**2 + 2*m + 1. Let t(v) = a(v) + 5*q(v). Let x(j) = -692*j. Determine t(x(i)).\nAnswer: -957728*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1939 is divided by 93.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -79 + 103. Let j(f) = -3 - 20*f + 4 + 0. Give j(i).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2 + 25*z**2 + 2*z + 7 + 2 + z**3 to the form i*z**2 + d + h*z + y*z**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - d - 4*d + 13 = 0, -w + 4*d + 4 = 0. Suppose -s + 3*y + 0*y = w, 2*s + 4 = 3*y. Suppose 4*m - s*n = 228, -n - 4*n = 4*m - 192. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21568, -43137, -64708, -86281, -107856, -129433, -151012?\nAnswer: -172593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z**2 - 1. Let a(i) be the first derivative of -28*i**3\/3 - 2*i + 2132. What is q(a(s))?\nAnswer: 7840*s**4 + 1120*s**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 554 + -161. Let l = -159 + q. Let d = l + -234.000227. Round d to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582 divided by -194\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 3 - 11 - -9) + 102 + -8.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -4 - -3)*-8. Let q = d + 25. Put q, -3, -2, 6 in decreasing order.\nAnswer: 6, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 18*o**2 - 117*o + 154. Give u(16).\nAnswer: 1866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4189 + -1.4189. Which is the biggest value? (a) -13\/2 (b) r (c) 0.06 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -533045 (base 6) in base 12?\nAnswer: -21185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 39*y**2 - 23*y - 95. Let s be w(-4). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 37 - 73 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:03 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 98906.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 9 = 3*b. Solve b - 1 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071043351 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 2*v + 17. What is s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - ((-12)\/21 + 3). Let h = -460 - -453. Which is the nearest to -0.1? (a) -3 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 25.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195636 and 1632?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -32966600 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 518\/635 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 42. Let t = 2.9 + 2.1. Which is the second smallest value? (a) k (b) t (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 6. Which is the closest to 0? (a) 0.3 (b) -2\/15 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - g = g + 26, 5*n = -4*g + 144. What is the remainder when n is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 31 - 100. Determine x so that -12 - 4*x**4 - 3*x**2 + 20*x**5 - m*x**5 - 24*x + 7*x**4 + 15*x**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from lhkyszzllllz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0287 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017913268 a multiple of 1956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 439382384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10207 + -6088. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5 - 13. Suppose -4*d - 5*n - 16 = 0, 0 = 2*d + 2*n + 7 + 1. Let p = v + d. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxz when three letters picked without replacement from eeexeeeezmmee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5*i**2 + 47*i**2 - 6*i**2 - 39*i**2 + 8.\nAnswer: -3*i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -11, -390, 14 in increasing order.\nAnswer: -390, -11, 14, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 31. Put 3, h, 4 in increasing order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96475, -192950, -289429, -385912?\nAnswer: -482399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*f = -106*f - 150*f + 720 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than -325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 - 5*x - 5. Let a be ((-100)\/(-220))\/(8 - (-534)\/(-66)). Let d(f) = f**2 - 2*f - 2. Let p be 0\/2 + (-4)\/(-2). What is a*d(u) + p*s(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4161006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 36 = -12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3622 to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61337, -245618, -552845, -983018, -1536137, -2212202?\nAnswer: -3011213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1963872?\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-3))\/(444\/54 + -8))\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 60 = 3*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3948, 3968, 4002, 4056, 4136, 4248, 4398, 4592?\n\"Answer: y**3 + y**2 + 10*y + 3936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + u = 4*u - 9, n - 2*u = 5. Let d(y) be the second derivative of 2*y + y**2 + 0 + 1\/6*y**n. Differentiate d(r) with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 15. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 22*s - 18. Suppose 4*f + s*t = 25, -8*t - 1 = -f - 7*t. Solve r + 4*o = f*r + 26, 3*r = 2*o - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13018 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 17. Let t be (-3)\/k*-8 - -16. Suppose q - t = -q. Which is the smallest value? (a) 2 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 1, l: 1, i: 2, x: 2}. What is prob of sequence vx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 35\/459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - m = -943*z + 946*z - 4, 3*z - 8 = -m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7171189 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 253133548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/(-33))\/(-1 + 0)*(4 + -3). Which is the closest to -0.6? (a) -2\/7 (b) z (c) -0.095 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*f - 324996, 2*f + 3*f - 130005 = -2*m. Round m to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.034 + -0.524. Sort z, 5, 3.\nAnswer: z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -14573?\nAnswer: 14568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847744339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.681 - -56.319. What is the smallest value in -2, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 144*s - 51*s - 1461*s + 3*s + 3*s - 8*s + 3*s + 2*s - 4*s + (-1 + 2 - 3)*(-6*s + 8 - 8).\nAnswer: -1357*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*n - 118?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 541288120*w + 14649641442656720.\nAnswer: 5*(w + 54128812)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568900943?\nAnswer: 13, 211, 207401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 437933*n**4*v + 2*n**4 + 5*n + 45825*v wrt n.\nAnswer: 5255196*n**2*v + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*m - 4*g, 0 = -4*m - 5*g + 13 - 3. Let p be 3\/7*(-2)\/3. Let b = 54981 + -54978. What is the closest to m in 5, p, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*((-16616)\/(-93))\/(-67)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49\/164 - -2\/41. Is b > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6889 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.9 (b) -12\/5 (c) -1\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175942*x**2 - 5*x + 7481 wrt x?\nAnswer: -351884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*q = -83, 9*z = 4*z - 3*q + 415. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:09 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 12*x + 4. Suppose -2*f + 4 = 4*c, f + 5*c - 2 = -3. Suppose -3*g + 19 = 2*n - f*g, -3*n = -2*g - 26. Calculate w(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 117\/4. What is the common denominator of k and -35\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 99.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 9*t + 12. Let j be (-301 + 302)\/((2\/(-1))\/10). Give h(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 + 23 = -2*a, 32 = -3*a - 5*m. Let z(j) = j + 17. Let d be z(a). Let u = 15 - d. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/2*(4 - 9\/4). Let m(v) = -2*v**2 - 46*v - v**2 + h*v - 1. Determine m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190323 is divided by 1848.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:50 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4350257\/54 - 80558. Calculate the common denominator of -49\/12 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104 and -76.6.\nAnswer: -7966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/(-50))\/((-32)\/(-80)))\/((-225)\/3750)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 10*n + n)*(353*n - 301*n - 801*n - 716*n + 342*n - 731*n) in the form l*n + o + b*n**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68509338036 + 68509337759.99999687. Let l = q + 276. What is l rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 6*c**2 - c - 5. Suppose -8 = 3*g + 40. What is the smallest common multiple of 2\/4 - 120\/g and r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1704 + -1727. Let m be (-1 - 1)\/((-1)\/(-12)). Do n and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 3\/7, -1\/6, -29, -10249?\nAnswer: -10249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3075 + -3060. Let j(y) = -y**3 - 6*y**2 - y - 2. Let s be j(-6). Suppose -s*t + 0 = -8. Solve -x = 5*h - t*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*h + 24130 = -68*h. What is the remainder when h is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 13165878?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24069 is divided by 123?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/5384 and 4\/63.\nAnswer: 339192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -92. Solve -f = n - 4*n - w, 5*n = -f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3578401378.588 + -9.\nAnswer: 3578401369.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-21))\/(13*(-6)\/(-702)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -2*527\/102.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2907*n**3 + 3073*n**2 - 98*n**3 - 12432*n**2 - 1745*n**3 - 77*n**3 wrt n.\nAnswer: -28962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 757, 4036, 9507, 17176, 27049?\nAnswer: 39132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(((j**(-1\/9)*j)\/j)\/j)\/j*j)*j)\/j**(-1))\/(j\/j**(2\/21)*j**3) assuming j is positive.\nAnswer: j**(-50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/((f\/(f*f**3))\/f)))*f*f*f)**(2\/21))**(2\/25) assuming f is positive.\nAnswer: f**(32\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/2 + -3 + 2. Suppose c - 41 = -5*f, -c + 26 = 2*f - 9. Suppose 0 = 3*q + 5*z - c, -q + 4*z - v = -0*q. Solve 3*b - q = -11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 27*v - 107. Let z be m(-4). Solve 0 = -31*r + 11*r + z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 3*q**2 + 2. Let y be u(2). Let h(r) = -11*r**3 - 2*r**2 + r + 1. Is h(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 40 + 176. Let h = -33 + w. Suppose h*z + 3*f - 1957 = 989, 0 = 2*z + 5*f - 1973. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 13*u + 39. Let q be z(-4). Find the common denominator of (q - (-21545)\/(-6840)) + 4\/18 and 41\/52.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -102, 1, -11 in increasing order.\nAnswer: -102, -11, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -9) + 0 + -13 + ((-394)\/(-50) - 1)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lblnlllbb. Give prob of sequence lb.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503416.9s to nanoseconds.\nAnswer: 503416900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00850658 to 4 decimal places.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28806 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {g: 2, k: 6, q: 3, p: 6, m: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fghy when four letters picked without replacement from {h: 2, g: 1, f: 4, y: 7}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91388676 to the power of 1\/2, to the nearest integer?\nAnswer: 9560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:42 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 100211102220221 (base 3) to base 12\nAnswer: 18bb667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -45, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 - -8) - -20 - (-4 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let s(j) be the first derivative of 4 + 0*j - 1\/2*j**2. Give p(s(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -172\/859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -8923?\nAnswer: 35692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6.3, -2 in decreasing order.\nAnswer: 6.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6922 + -1935. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-1)*0\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -29, -2654, -0.1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -50?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 641*o**3 + 2*o**2 - 3*o - 9. Let u be n(3). Suppose 57025 = 4*g - u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 194 + 0*f**2 - 65\/4*f**4 + 0*f**3 - 227*f. Differentiate t(c) wrt c.\nAnswer: -195*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snn when three letters picked without replacement from {n: 13, o: 2, s: 3}?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -2*o**6\/15 - 3*o**5\/5 - o**4\/3 + 2*o**3 + 4*o**2 + 3*o. Factor d(h).\nAnswer: -4*(h - 1)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -3491?\nAnswer: -3491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214 + 220. Solve 0 = -2*w - 8, 0 = b - v*b - 3*w - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w**4 + 68*w**3 - 94*w**2 + 5*w + 5. Let x(d) = -27*d**4 - 171*d**3 + 234*d**2 - 12*d - 12. Let n(v) = 12*r(v) + 5*x(v). Factor n(g).\nAnswer: -3*g**2*(g - 1)*(g + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 410383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184155 a multiple of 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 - -0.05. Let h = 0.08 + -3.08. Let w = -16 - -15.7. Which is the second biggest value? (a) h (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 15, 0, 11, -1, 4.\nAnswer: -16, -1, 0, 4, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03362 * -0.02.\nAnswer: 0.0006724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4662117 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 not equal to -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 16*y - 329 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2, -22 = -5*c - 3*u - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*sqrt(1700) + 2 + (sqrt(1700))**2 + 2).\nAnswer: -240*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2326.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) - (4*sqrt(19)*-2)**2).\nAnswer: -5*sqrt(19) + 6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1224 - 5*g**2 + 12*g + 1224)*(-5*g + 0*g + 3*g).\nAnswer: 10*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185.18*-0.11.\nAnswer: 20.3698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, m: 1, r: 8, d: 2, j: 7}. Give prob of sequence jm.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (182\/52)\/((-1)\/(-4)). Solve -5*k + 5 = -2*x, 3*k - 9*x - i = -10*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15659*-0.155.\nAnswer: 2427.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 15. Factor 8*r + 9*r**2 - x*r**2 - r**4 + 58*r**3 - 60*r**3 - r**2.\nAnswer: -r*(r - 2)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 + 10165*f - 30486 = 0 for f.\nAnswer: 3, 10162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*c**3 + c - 2 + 2*c**2 + 30*c**3 - 2*c**2 to q + b*c**3 + w*c + k*c**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 5*o - 50. Suppose 5*b - o = 4*u, 4*b = -3*u - u + 8. Solve 5*c + w - 13 = u, -3*w + 11 = -2*c + 2*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 12 (c) -272 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -3*i + 2*d, -i + 12404 = 4*d + 12408 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 7:08 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224880*l + 224880*l + 27*l**3 + 2*l**2 - 2*l**2.\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407 = -65*i + 438 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {v: 2, o: 5, u: 1, f: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 4*d + 48, 5*d + 120 = 7*a - 2*a. Solve a = -3*r + 6*r + 3*m, 3*r - m - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -2. Let p = -24\/65 - 2\/65. Suppose 0 = 15*k + 143 - 113. Which is the closest to m? (a) p (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*y**2 - 44*y - 11*y - 4*y**2 + 2*y**2 wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 226311*p + 4526249. What is u(-20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 11. Let c be (99\/(-12))\/(2\/n). Let z = c - -1. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101, 201, 301, 401, 501?\n\"Answer: 100*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {h: 4, d: 1, m: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3509211419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 3*p**2 + 4*p**2 - p**2 + 11*p**2.\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/n**6))\/n*n)\/(n\/n**(3\/8)))\/(n\/n**2)**(-6\/7))\/((n**(-5\/6)*n*n*n**(4\/7)*n*n)\/((n\/(n\/n**(-1)*n))\/n)**(4\/15)) assuming n is positive.\nAnswer: n**(-17\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224099\/8547 + -2064\/77. Calculate the common denominator of f and -1\/481.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 56?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (227*a - 581*a + 274*a)*(-2*a**2 - 5*a**2 + 5*a**2) - a**3 - 3 + 3 as c*a + h*a**3 + t + s*a**2 and give h.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136bc3 (base 13) in base 15?\nAnswer: 94d86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19, 102, 233, 412?\n\"Answer: 24*d**2 + 11*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1636*k*t**2*w**5 + 100*k*t**2 - 2*k*t*w**2 - 18*t**2*w**3 - 3*t**2*w**2 - 50*t*w**2 wrt w?\nAnswer: 98160*k*t**2*w**2 - 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*2\/3*(-6)\/8. What is the smallest value in -0.04, k, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1556090 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19\/3 - -136\/21. Which is the smallest value? (a) s (b) 6\/13 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1084\/11257 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -0.0338688?\nAnswer: -0.4338688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 13) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141041059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + m - 1. Let i be 4 + (-3)\/((-9)\/(-3)). Let z be n(i). Is 6\/(-21) + (-261)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*h - 976 = 0, 0 = 4*p - 6*h + 5*h + 1952. Let y = p - -1268. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30599 - 4*l**2 + 171284 + 148889 + 187725.\nAnswer: -4*l**2 + 477299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500 + 4*l + 9*l - 500.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 207, 686, 1597, 3078, 5267, 8302?\n\"Answer: 23*s**3 + 9*s**2 - 3*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*a - 55, -7*a + 409 - 424 = 2*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/(-18))\/10)\/(-9*44\/(-2970))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 10:50 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.9 * 5725.\nAnswer: -142552.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -10433179 + 248*z - z**2 + 10433179 as i*z + c*z**2 + b and give i.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247 (base 9) to base 3.\nAnswer: 21121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1 - (-6 + 3 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 40 = 44 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 10*c + 35 + 11*c + 2*c - c to the form t + h*c and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 5 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5676616, -11353157, -17029686, -22706197, -28382684, -34059141, -39735562, -45411941?\nAnswer: -51088272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w - 4*x + 2, -2*w - 1 = -x. Suppose 2*f - m - 2 = 21, f - 3*m - 4 = w. Let u(z) = 2*z - 9. What is the remainder when f is divided by u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1853 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 225*y - 2. Let h(a) = -22*a**2 - a. Calculate j(h(p)).\nAnswer: -4950*p**2 - 225*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521705034 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-11\/5)\/t*t**(1\/4) assuming t is positive.\nAnswer: t**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 187*p**2 + p + 1. Let o be h(-1). Suppose -12 - 10 = 11*b. Let f be (3 - 69\/6)*b. What is the highest common factor of f and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (1\/(-4))\/(8\/32). Solve s - 2*p - 8 + 4 = 0, -j*p = 4*s + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 3.3. Let f be (40\/15)\/(-3 - 14\/(-6)). Is f >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5088 (base 10) to base 9\nAnswer: -6873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11551519 + 11551499 + 0*n**2 + 4*n**2 + 6*n**2 - 23103018.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - -11 - 0*(0 - -1). Suppose 14*s = j*s - 320. Is 29 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -2.7 (c) 2\/537 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 24. Let f be b(11). Suppose f*g - 28*g = 0. Let t = 56 + -26. Solve 0*r + t = -5*r - 5*w, -2*w - 4 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34952566 times -5\nAnswer: -174762830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4496124057 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -16. Let a(p) be the second derivative of -p**3\/6 - p**2\/2 + 2*p. Let b(v) = 3*v. Let d(h) = o*b(h) - 4*a(h). Give d(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 31*f**2 + 33*f - 8. Let w be y(32). Find the first derivative of -2 - w + 6 + 139*k - 12 - 9 wrt k.\nAnswer: 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 27. Suppose -v*b + 4*b + 128 = 0. Let w(n) = 21*n**2 + 1. What is the remainder when b is divided by w(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3108735 divided by -207249\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 + s - 2. Let q = -9 - -3. Let g = -163 + 167. Let f(m) = -g + 10*m**3 - 1212*m + 1214*m + 5*m**3 + 0*m**3. Determine q*f(r) + 11*d(r).\nAnswer: -2*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxxnnnxxnnxnnnn. What is prob of picking 2 x and 2 n?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 4 - 2\/3*6. What is the remainder when 47 is divided by x\/((-7)\/(12 + -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:05 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 7?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 59754*n**2 + 464*n - 927. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 1 = 3*f, -3 + 2 = 2*f + v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/5))**(2\/71))**(-6) assuming t is positive.\nAnswer: t**(-36\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 10 = v, -3*t + t = 3*v - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.8377 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1, -3, -17, -20.94 in decreasing order.\nAnswer: 0.1, -0.3, -3, -17, -20.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Let o(t) = t**3 + 22*t**2 + 19*t - 10. Let k be o(-21). Suppose k = r*u - 5*q, 11 = u - q + 3. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from ahaahhahhaammhshhaah?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -3*u + 8*u, -5*u = -o - 10. Let h be ((-5)\/(-30))\/(u\/12). Let j(p) = 35*p**3 - p**2 + 2*p - 1. List the prime factors of j(h).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n - 11. Suppose 3*u = -36 + 111. Let t(c) = c**3 - 25*c**2 + c - 23. Let k be t(u). Let o(w) = -4*w + k - 3 + 4 + 0. Determine 6*l(f) + 22*o(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 0.2, -2\/33, -12, 57029?\nAnswer: 57029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -8 + 27 + -10 + 52 + 6?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = -4*q + 798 - 933 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522258541 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 90 = 0. Let y = a + 45. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 21. Solve b = -y + c + 4*c + 10, -3 = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -147. Solve 4*l - u = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u - 163 + 994 = 33 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 11.\nAnswer: 23\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -346*q**2 + 8222 - 307*q - 161*q**2 + 307*q wrt q.\nAnswer: -1014*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 + -377. Let v = 170.3 + m. Which is the closest to -3? (a) 0.02 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 384 + -371. Suppose 19*k - q*k = 282. Let f(b) = -b**3 + 8*b**2 - 4*b - 8. Calculate the remainder when k is divided by f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - j - 2)*(5*j - 2*j**2 - 5*j) + (-2*j**2 - j**2 + 8*j**2)*(2*j - 1 + 1) to the form v*j + a*j**3 + u + n*j**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19632*d**2 - 9880*d**2 - 9821*d**2.\nAnswer: -69*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 9*v**2 - 106*v - 879. What is the tens digit of l(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*a + 154*a - 19 = 0. Let f(o) = 3*o**2 + 2*o - 1. Determine f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-19 - -7)) + -1 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -408531 + -a?\nAnswer: -408540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*g - 98 = 0, 94 = -2*w - g + 2*g. Which is greater: -47 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*w - 290632 = -227686 for w.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223952 is divided by 74375.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, d: 10, w: 2}. Give prob of sequence jjd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = -4*c + 211 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*2*-6)\/(sqrt(27)\/sqrt(36)))\/((sqrt(9) + (sqrt(1296) - 2*sqrt(1296)) + sqrt(9) + (sqrt(72)*2)\/sqrt(8))*1).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(18) + (-1*sqrt(180))\/sqrt(10))*1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(1 + 1 + 0)*(4 - o - 4 + (-4 + 6 + 0)*(-7 + 6*o + 7)).\nAnswer: 44*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2. Let c(u) = 0*u**2 - 4*u**2 + 0*u**2. Determine c(o(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-2*sqrt(170)*-1 - sqrt(170)))\/(((sqrt(90) - sqrt(90)*2)*6)\/sqrt(9)))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 243, 963, 2163, 3843, 6003, 8643, 11763?\n\"Answer: 240*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -82 - 10*j + 59 - 2*j + 22. Let a(y) = -11*y - 2. Calculate -4*a(z) + 3*p(z).\nAnswer: 8*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 36. Let j(l) = -129*l - 132*l + 265*l. Give v(j(r)).\nAnswer: 32*r**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1539 and 4028076?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 13 = 129. Let j = -18 - w. Calculate the remainder when 21 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1672735?\nAnswer: 6690940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)*((5 - (-7651)\/(-462)) + 4\/66).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 200417*i - 37077150. Determine r(185).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195 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 n(j) = 4*j - 2. Let p be n(-3). Let r(f) = 21*f**2. Let b be r(1). Let u = p + b. What is the highest common factor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 279498272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8 - 6*f**3 + 7*f - 10*f**2 + 2*f + 2*f + 7*f**3. Give k(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 9*h + 97. Calculate l(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*o - 0 - 7, -o - 7 = j. Let i be j*(-3 - (-14)\/4). Let s be ((-2)\/33)\/((-2)\/(-6)). Is s greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 4970?\nAnswer: 64610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 + 162. What is the remainder when 44 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**4*m*p + 2*k**3*p + 7*k**2*m*p - 3*k*m*p - 2*k*p - 2*m*p wrt k.\nAnswer: -48*k*m*p + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*b = 0, 2*b + 0*b = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 u when four letters picked without replacement from {c: 3, w: 4, u: 3, y: 4, o: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 5:33 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*r**3 + 2*r - 191 wrt r.\nAnswer: -15*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52221 by -10.\nAnswer: 52221\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-176.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*8.5693\nAnswer: 1.71386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.6 + -19. Let v = 24 + m. Let q = -2.6035 - v. Round q to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7334 (base 9) to base 11.\nAnswer: -4049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9 = 4*t, 0*o - 3*o = t + 3. Let k(m) be the third derivative of m**5\/60 - m**4\/3 - m**3\/3 - 72*m**2. Calculate k(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 151*a - 103. Let y be t(8). Let s = y - 556. List the prime factors of s.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 198?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6464*n + 186*n**2 + 6464*n.\nAnswer: 186*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:02 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - (21 + -23)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.128882 + -1.1598. What is o rounded to four decimal places?\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j + 8 + 10*j + 15 - 6 wrt j.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 3\/5 (b) -5 (c) -3 (d) 8\/5 (e) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/10*(2\/3 - 0).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 2*y, 4*f - 5 = -3*y. Suppose -5*u + 4*q + 67 = -45, 0 = -f*q + 4. Suppose g = -3*g + u. Solve 2*x - 4*x - 2 = 5*m, -x - g = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 59*a - 624. Calculate k(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + -27 + 54 - (-4 + 5 - -20)) + -12.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12698*x - 6349*x - 6350*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 28.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1001001011101010001100 (base 2) to base 7\nAnswer: 26313434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7077703 or 7077700?\nAnswer: 7077700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 165195?\nAnswer: 3138705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1416061?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80774*b**2*c**3*d*m + 375*b**2*c**3 + 2*b**2*c**2 + b*c**3*d - 7*b*c**2 - 4*b*c*d + 20*c*d*m wrt m?\nAnswer: -80774*b**2*c**3*d + 20*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*3*3 + sqrt(210))\/sqrt(7)*6)\/((sqrt(550)\/sqrt(11))\/sqrt(5) - (-4*sqrt(810) + sqrt(810) + sqrt(10))).\nAnswer: 20*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 102. Find the third derivative of 89*i + 15*i**5 - w*i**2 - 92*i - 4*i**2 + 2*i**4 wrt i.\nAnswer: 900*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let h = -1 - 1. Let l be (-3)\/(54\/34) - h. What is the second smallest value in 0.1, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dje when three letters picked without replacement from {d: 6, e: 6, j: 7}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10971 is divided by 438?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 9. Let d = -22 - -16. Let c be (-2)\/(((-9)\/297)\/(4\/d)). Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -33?\nAnswer: 25\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {w: 9, b: 2, s: 3, n: 1, c: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 836122.41 nanoseconds in hours?\nAnswer: 0.000000232256225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3212 + 22750. Suppose 34*j - w = 6880. List the prime factors of j.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 4. Let g be z(0). Let x = 906 + -898. Solve -x = -4*i + 2*q, -g = 2*i + q + 2*q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4\/4 - 16*o**3\/3 - 5*o**2 + 12*o - 20. What is the units digit of s(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 19*c**3 + 16*c**2 + 2. Let q(k) = -47*k**2 + 127*k - 58*k**3 - 7 - 127*k. Let a(l) = 7*p(l) + 2*q(l). What is the third derivative of a(r) wrt r?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 31. Which is smaller: -5\/9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-8)\/(-7))*114\/(-57)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:53 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15236*h**2. Let a(g) = -9*g**2. Give u(a(p)).\nAnswer: 1234116*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*y = 5*y + 139, 5*h + 4*y = 695. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1610)\/(-483))\/(2\/(6*-1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1.9. Let y = -1.6 + 1. Let t = 3.6 + y. Is k not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0503 * 1\nAnswer: -0.0503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 6*k - 3*k + 0*k + 11*k - 1430.\nAnswer: 2*k - 1364","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7042 and 4.\nAnswer: 14084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -36*g + 296 + 598. Let r be (-144)\/(-30) - 1\/(-5). Let k = 16 + 4. Solve -r*a + 0*a = 5*m - g, -4*m + k = -a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 31\/(-11) + 280\/154. Factor n - 1\/3 - n**q + 1\/3*n**3.\nAnswer: (n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2036\/5 + -406. Is 1\/4 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 28935 = -11*j, -3*j - 2*k = 4396 - 12296. What are the prime factors of j?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 11 - (-13 - (-5 - -9)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3299090 and -38\/1649545.\nAnswer: 3299090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:42 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116062 is divided by 116036?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -497*k**2\/2 + 140153*k + 564 = 0. What is k?\nAnswer: -2\/497, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 139047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 133*c**2 + 74*c - 22. List the prime factors of i(66).\nAnswer: 2, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + j**2)*(-15*j - 5*j - 41*j) + 18 - 2*j**3 - 10 - 5.\nAnswer: -63*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-1*20\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*(-1080)\/(-24)*(-208)\/156?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48041280342242 + 5\nAnswer: -48041280342237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 536.59 * 0.3\nAnswer: 160.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420 - 417 - 17*l**2 + 837.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 11*u**2 - 20*u + 93. Determine w(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 134*v - 6879. Determine b(51).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 8. Suppose -5*c - 39 - y = -o, 3*o - c - 134 = 0. Suppose -4*d + 8 = -o. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 2*u - 4*d + 192, 3*d = 2*u - 109. What is the remainder when 607 is divided by u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -140?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 5*l**4\/6 - 47*l**3\/6 + 10*l**2. What is the tens digit of j(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 6*j**2 + 4*j - 6. Let k = -207 - -214. Let g = 12 - k. Calculate t(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a - 736 = 18 + 371 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -14*j + 4*m - 258, -98 = 5*j + 3*m. Suppose 112 = -5*p + p. Let w = j - p. Solve 0 = -0*s - 2*s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.032*35964.\nAnswer: 1150.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 8. Suppose -3*z = -3*p, -6*z + 2*z = -5*p + 3. Let q(k) = 2*k + z*k**2 - 9*k - j*k**2 + 6. Give q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -16. Let y = 6 - p. Suppose -5*o + y + 44 = 0. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6630180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + 6*b**2 + 2*b - 2. Let m(k) = k**4 + 7*k**3 + 20*k**2 + 7*k - 7. Let q(u) = 7*i(u) - 2*m(u). Find l, given that q(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6370 + 8996. What is the remainder when k is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8248 + 2?\nAnswer: -8246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + 292?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = -9*i - 290. Let b = i - -561\/8. Let n = -68\/63 - -1133\/2898. What is the common denominator of b and n?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194 - 731 = 13*x + 120*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in 0, 4, -11, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 852.927 millilitres in litres?\nAnswer: 0.852927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.62 and -0.3.\nAnswer: -0.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 39*h**2 + h + 51. Let q be v(-39). Solve q*r = 43 + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.765 + 0.135. Let h = t + -5.1. Let f = h - -0.2. Which is the nearest to -1? (a) 3\/7 (b) f (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 446*c + 3365. Is l(8) a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24322.00050218 + -24322. What is m rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 1 in descending order.\nAnswer: 14, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = g + 2, -11*m + 7*m + 28 = -g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*l - 2 = 2*m, -4*l - 3*m - 36 = 0. List the prime factors of (-36)\/(-27)*((-3)\/l - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -5397442369 and -1.6.\nAnswer: -5397442370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/11*44\/(-26)*1144\/(-176)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-2)\/(-10))\/(54\/(-270)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*5 + (-42)\/(-21) - -33. Suppose -58*y + 53*y + j = 0. Solve -2*t - 2 + y = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**3 - 2*z + 2*z)*(5 - 3*z**2 - 3 - z + 2*z).\nAnswer: -18*z**5 + 6*z**4 + 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = 16. Suppose -t = 5*c - 6, 5*c = -u*t - 0*t - 10. Solve c*w = -3*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2)\/o)**(19\/3)*o\/(o\/(o\/(o\/(o**(-17)*o)*o)))*o**(-12\/19)*o assuming o is positive.\nAnswer: o**(-3701\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -460, 3, 4 in increasing order.\nAnswer: -460, -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13853048 divided by 14311.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 16110293.\nAnswer: -5\/16110293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2 = 0, 4*s - s = -4*a - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -263 - 405. Let d = 675 + b. Solve 2*z + 9 = -d*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)*f**(-1\/8))**(22\/3)*f*f\/(f*f*f\/(f*f*f**(1\/11)*f*f))*f*f*f*f**(-1\/2)*f**(-2)*f*(f\/(f*f**(1\/2)))\/f*f*f assuming f is positive.\nAnswer: f**(67\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 2 + 0 + 4*t)*(-11*t**4 + 17*t**4 - 59*t**4).\nAnswer: 53*t**5 - 106*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479572355?\nAnswer: 3, 5, 293, 336649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(-3)\/1. Let r(i) = i**y - 5 - 3*i + 1 + i. Calculate r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*(-2)\/8)\/(1\/4). Put -5, k, -7 in decreasing order.\nAnswer: k, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49119 is divided by 6123.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000811900764 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*y - 6*y**2 + 39*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -95?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 + 5*y + 2. Let q be t(-5). Let s be 126\/28 - (102\/26 - (-37)\/481). Determine i, given that i - s*i**q + 3\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2. Let l(n) = -22*n**2. Give l(j(d)).\nAnswer: -550*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsef when four letters picked without replacement from efsf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -490298 + 2?\nAnswer: -490296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 30507831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/4 + 15*h**2 - 3*h. Let n(z) = 9*z. What is m(n(j))?\nAnswer: 54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 + 7*p - 3. Let l be f(2). What are the prime factors of 0 - 718\/(l*(-8)\/12)?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*x - 20 = 110*x. Let c(n) = -2*n - 67. Let v be c(-32). Sort -5, 12, x, v.\nAnswer: -5, v, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158848077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 - 10*q + 16. Let l(w) = 3*w**2 - 3*w + 5. What is 16*l(k) - 5*s(k)?\nAnswer: 8*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(140\/8)\/5. Suppose m = 3*c - 2*q, 3*c + c = -5*q - 29. Which is greater: -2\/7 or c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*t - 6 = 58*t. Let i be t\/2*(-4)\/(-2). Solve -h - i*h = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33996)\/(-2) - 0 - (0 + -2). What is o rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 b when four letters picked without replacement from {t: 6, b: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 13. Let b = -2\/19 - 11\/76. What is the second biggest value in t, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02071 + -0.5.\nAnswer: -0.47929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - 1. Suppose 3*i + 1 = 4*i. Let s be t(i). Solve 0*k + 5 = -u - k, s*u + 5*k = -25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 0*i**4 + 3*i - 3*i**2 + 5*i**2 - 3 + i**4 as b*i**3 + r + g*i**4 + p*i**2 + q*i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 523\/(-5) - 3\/(-5)*1. Let m = -101 - i. Which is the biggest value? (a) 1 (b) m (c) -1\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**4 + 13*m**3 + 5*m**2 - 5*m + 5. Let l(w) = w**4 - 7*w**3 - 3*w**2 + 3*w - 3. Let d(r) = -3*b(r) - 5*l(r). What is f in d(f) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 - (-4 + 1). Let r be p\/4*(-3 - -2). Suppose -2*b = 5*v + 8, 6*v - 8*v + 5*b - 9 = 0. Which is greater: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -779 or -771?\nAnswer: -779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.0201991 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25797996 divided by -307119\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1351\/11 - -124. Let w = 345\/22 - b. Calculate the common denominator of 97\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -21. Suppose 15 = x*o - 18. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4522\/1164277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -5*y + 385. Calculate the remainder when y is divided by 142\/8 - (-2)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:55 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 617330113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2210022121 (base 3) to base 12\nAnswer: -27937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w + 223. Give q(29).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139\/3 + -45. What is the nearest to 1 in 0.2, 1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 208\/28 - (-24)\/(-56). Determine w, given that -4*w**4 + 8*w**i - 5*w**5 - w**5 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*4\/(-78)*-13. Suppose 39 - 7 = 4*i. Solve -a + 4*f = x + i, -4*f + 16 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 22 = 2*l, m = -0*m + 5*l + 1. Suppose -2*h = -50 - m. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11647, 11612, 11577, 11542, 11507, 11472?\nAnswer: 11437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Let v(f) = -39 + 0*f + 39 + 19*f + 22*f. Give v(w(s)).\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/60 - 5*g**4\/8 - 11*g**3\/6 - g**2. Suppose 0*n + 16 = -n + 2*j, -5*j + 5 = 0. What is the units digit of m(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2. Let x be t(-3). Let n = 33 + -27. Let l = n - x. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 5:37 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 10863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -a8?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3012 - 3012 + 4*t - t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 8 = -4*v, -3 - 29 + 19 = -u + 7*v + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/9)\/((-6)\/(-36)). Suppose 19 + 83 = t*r. What is the least common multiple of r and 21?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2208*s**3 + 2*s**2 + 995*s wrt s.\nAnswer: 13248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27921 is divided by 13889?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**8\/14 + 17*x**4\/24 + 2*x**2 - 24. Let h(t) be the second derivative of j(t). What is the second derivative of h(r) wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*z**3 + 3*z**3 - 3*z**2 + 90*z - 91*z as m + l*z**3 + f*z + s*z**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3403 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*l - 153*l - 112 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12356983739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-2))\/(-8)*(-3718)\/(-286)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from hhhhltl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138502?\nAnswer: 2, 7, 13, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 44*w**2 + 194*w + 42. Let p be g(39). Solve p = -q + 4*c + 2, 0 = 6*q - 3*c - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - 2\/72. Suppose -3*m - 4*u + 4 = -1, 0 = -3*m + u - 5. Let p = 3 + m. What is the third biggest value in f, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*s**2 + 498*s + 483*s - 192*s**2 + 481*s - 1462*s + 387*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -447, 0.04 in decreasing order.\nAnswer: 0.04, -8, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 86*c - 12. What is the tens digit of v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 20232101320?\nAnswer: -20232101313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -6*n + 3*n + 83, -2*y + 37 = -3*n. Suppose -y = 4*z - 80. What is the second biggest value in 1\/3, -0.1, z, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**3 - 221*s**3 - 3*s**2 - 8*s + 22*s**3.\nAnswer: -177*s**3 - 3*s**2 - 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -77. Let g(l) = -l + 1. Give g(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 316663*q - 22. Let o be v(-6). What is o rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -10. Let c be 1*3 + 12\/o. Suppose -q - c*j = -76, 0 = 3*q - 6*q + 5*j + 188. Calculate the highest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 15 - 12. Suppose -1 = n + g. Let b be (-3)\/15 - 602\/n. What is the greatest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 3, 7, -0.4, -13 in descending order.\nAnswer: 7, 3, -0.01, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2145 and 56\/75.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 42\/5, -0.3, -4\/981 in ascending order.\nAnswer: -0.3, -4\/981, 42\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxuinnixnniifunnc. Give prob of sequence xc.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 10 = -2*t. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:44 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1 + 4 + 5*s - 3. Let y(f) = 8*f. Let x(k) = -2*k. Let m(q) = -3*x(q) - y(q). Give m(v(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 43*t - 361. Let h be ((-12)\/40)\/(t\/(-12)). Which is the second smallest value? (a) h (b) 0.2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -z + 7 + 1, 5*j + 13 = -z. Let t be 1 + (-5)\/(10\/24). Find the common denominator of -10\/11 and t\/((-308)\/192) + j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(4 + sqrt(637) + sqrt(637)*-1 + sqrt(637)) + -2)**2.\nAnswer: 1848*sqrt(13) + 23416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1008)\/532 + 4 + -2\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*(x*x**(1\/8)\/x)\/x*x*(x*x**0\/x*x)**34)\/((x*x*x**(2\/9)*x)\/x*x*x**2*x\/((x*x\/x**(-6)*x)\/x)*x\/(x*x**(-1\/6))) assuming x is positive.\nAnswer: x**(2429\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*v + 881*v - 584*v + 322*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/8260 and 73\/16.\nAnswer: 33040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3. Let s(l) = 11*l**3 - 138*l**2 + 171*l - 42. Let m(v) = s(v) - 2*w(v). Factor m(f).\nAnswer: 3*(f - 14)*(f - 1)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 540. Let x(t) = 47*t. What is a(x(u))?\nAnswer: -47*u - 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -11*y + 7*y + 15, -2*o + 4*y - 22 = 0. Is 35 a factor of (-3*o\/(-2))\/(3\/(-274))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 317 = -2*z - 3*n, -4*z + 5*n + 623 = 0. List the prime factors of z.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 187356218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8*s + 117 = 9. What is the least common multiple of s and 4580?\nAnswer: 13740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 0*z + 9\/4*z**2 - 3\/4*z**3 - 9\/4*z**4 + 0 + 3\/4*z**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 13*w**2 - 32*w - 1. Give t(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/3 + 8*w**4\/3 + 18*w**3 + 76*w**2\/3 + 32*w\/3 = 0.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*n - 34*n - 1651*n.\nAnswer: -2730*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.335976 nanograms to milligrams.\nAnswer: 0.000003335976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 21 - 13. Suppose 0 = -o*v + 14*v + 15. Solve 4*m - t - 14 = -2, v*m = t + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 2\/((-2)\/35). Suppose 0 = -0*f + 2*f + 5*j + 25, -k = 5*f + 4*j. Let r(q) = q**3 + 8*q**2 + 3*q - 1. What are the prime factors of r(f)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-110) + (-6936)\/(-33). What is the highest common factor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j + 6 + 19*j**2 + j**3 - 8*j**2 - 5*j**2. Give s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016523752 rounded to seven dps?\nAnswer: -0.0016524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - a**2 - 7*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.364 - -0.064. Sort 2\/5, 2.8, o in decreasing order.\nAnswer: 2.8, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 150439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 14, s: 5}. What is prob of sequence sjj?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1, -9, 0.2, -40?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 32*a - 8. Determine i(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 17937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -703*b + 1165*b + 17556 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 1 - (-6 + -4 + (10 - 28))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 33, 856, 1, -2, 8 in ascending order.\nAnswer: -5, -2, 1, 3, 8, 33, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = o + 63. Let n(j) = -3*j**2 + 3*j + 36. Let p be n(o). Let i be 10*(-2)\/p - 7\/21. Which is the third biggest value? (a) 3 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 0.4, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.087 + 0.387. What is the fourth biggest value in 4, m, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-24))\/(1\/(-44)). Let j = 13 - v. Suppose 3*w + 14 = -0*w + g, -5*w = -5*g + 40. Sort j, w, 3.\nAnswer: w, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**0\/o))\/o)**(1\/79) assuming o is positive.\nAnswer: o**(2\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 534*q**3 + 53448*q**2 + 2376736*q + 39618432.\nAnswer: 2*(q + 63)*(q + 68)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = 41*m + 97. Solve m = -29*z + 24*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 886\/35?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3 - 3)*(3*g + 0*g - 6*g + (-1 - 2 + 2)*(3*g - 3*g - 2*g)) + (187*g + 191*g - 335*g)*(0*g + 2*g - 4*g).\nAnswer: -85*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 7*m**2 - 4*m - 8. Let r be v(6). Suppose -r + 0 = -2*c. Suppose -c*i + 0*i + 14 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*t + 37*t + 7872. What is the greatest common divisor of t and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let u(l) = 3*l - 10. Let y be u(4). What is the closest to 1\/2 in d, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 5) in base 14?\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1058\/103.\nAnswer: -3, 3, 1058\/103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*n - 376, -2*v - n = -6*n - 188. Let u = v + -19. What is the units digit of ((-132)\/10)\/(5\/u*-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*p - 30*p + 263*p**2 + 269*p**2 - 68*p + 287*p**2 + 1 wrt p.\nAnswer: 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 166281288 and 762303.\nAnswer: 167043591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10030d (base 14) to base 13\nAnswer: 15b0c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -162, -325, -490, -657, -826?\n\"Answer: -m**2 - 160*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000150249521 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 1*-4 + 7. Let w be (z\/(-27))\/(2\/6). Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiii. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -21259.6\nAnswer: 2125.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*l + 45, 6*p - 2*p + l = 29. Let r = -4 - -1. Let j be (-1)\/((9\/r)\/18). Are p and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-13*k + 0*k - 2*k).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.75 - -2.85. What is the nearest to -2 in a, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5705 and 140.\nAnswer: 22820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, 26, 57, 100, 155, 222, 301?\n\"Answer: 6*o**2 + o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1900) + sqrt(1900)*-2 + sqrt(1900) + -1 - sqrt(95)\/sqrt(5)*-5*6)*6)**2.\nAnswer: -6480*sqrt(19) + 1846908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/58 and -127\/16932?\nAnswer: 491028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 2140.09 and 0.039799743.\nAnswer: 2140.129799743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*f - 9 = 0, -114*f - 36 = 4*x - 119*f. Let h = 0.06 + 0.34. Which is the third smallest value? (a) h (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4 + 4195\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-150*i - 11*i + 22*i)*(-18*i - 3*i + 5*i).\nAnswer: -4448*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**14)**(-25) assuming o is positive.\nAnswer: o**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(42) + sqrt(42))\/sqrt(2) + 3*sqrt(2541) + sqrt(2541))\/(sqrt(77)\/(sqrt(66)\/sqrt(6)) - (sqrt(700) + sqrt(700)*-3)))**2.\nAnswer: 2116\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 152, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (616\/(-1056))\/((189\/24)\/(-1))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4260.79 * -7.\nAnswer: -29825.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000062036477 rounded to six dps?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27655*z - 21428?\nAnswer: -27655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 64*f**2 - 2377*f + 355. Give d(37).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15024 is divided by 123?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -7. Let r = t + 1.4. Let a = 19 - 14. Put a, 1, r in increasing order.\nAnswer: r, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 19*p + 211. Give z(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1557, 2961, 6763, 14163, 26361, 44557?\n\"Answer: 200*v**3 - v**2 + 7*v + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 22566*l + 270776\/3.\nAnswer: (l - 67694)*(l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1960 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7831161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6318 times -34?\nAnswer: -214812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54321300 rounded to the nearest 1000000?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b = 3*t - 28, -3*t + 2*b = -13. Let f(c) = -21*c - 1. Let a be f(t). Let r = 10 - a. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 12\/8)*12. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 10:18 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.175 from 1251140042.\nAnswer: 1251140053.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b + 17*b + 155 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 1 + 1\/20*j**4 - 1\/15*j**3 + 1\/25*j**5 - 1\/10*j**2 + 0*j. Factor u(c).\nAnswer: c*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 312, 324, 348, 390, 456, 552?\n\"Answer: n**3 + 5*n + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/134 + 385\/1742. What is the nearest to 1 in a, -2, -2\/29?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18172338 and 5364?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3*l - 7, 5*l - 25 = 34*p - 33*p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1754861946 to the nearest integer?\nAnswer: 41891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42105288 to the power of 1\/2, to the nearest integer?\nAnswer: 6489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1126 divided by -5.\nAnswer: -1126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -711.49475 and -0.2.\nAnswer: 142.29895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61646 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 3*g**3 + 0*g**3)*(11118*g + 1702*g + 4 - 6 + 2 + 23661*g).\nAnswer: -109443*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*2\/(-7) + -13 + 1\/((-1)\/13).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 0*c + 0*c + (0*c + 0*c - c)*(0*c - 3*c + c) + 427*c**2 - 184*c**2 - 175*c**2 + (0*c**2 + 3*c**2 - 5*c**2)*(4 + 0 - 3) - 8*c**2 - 21*c + 21*c.\nAnswer: 61*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70044643 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -205.4 and 5.\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -95*x**2. Let j(y) = 9491*y. Give j(n(d)).\nAnswer: -901645*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.022*0.4\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 2. Let d(o) = 4*o**2 + 5. Let l(v) = 3*d(v) - 7*g(v). Differentiate l(w) with respect to w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 3.59717.\nAnswer: 1.59717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25562*o**2 + o - 8579 wrt o?\nAnswer: -51124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 4. Let w = -8 - -5. Determine o(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 7:39 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, b: 3}. Give prob of sequence gbbb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000105 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-8 - 2)) + (0 - (-7 + 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(10\/5)*(-9)\/(-3). Let g be (-1 + 30\/c)\/((-4)\/48). Suppose -23 = s - g. What is the smallest common multiple of 10 and s?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 0 + 1\/6*o**3 + 0*o**4 + 7\/120*o**6 + 0*o**5 - 2*o - 10*o**2. Determine k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 1255. Let k be p(-25). Solve 0 = 6*v + k + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243600 and 140?\nAnswer: 243600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6 = 2*l, 23*l - 4 = 22*l + 3*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**3 + j - 1. Let i(f) = 3*f**2 - 1 + 6 - 3*f - 46*f**3 - f + 45*f**3. Let r be i(2). What is d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p)\/p*p*p**(2\/9)*p**(-2)*p\/((p\/(p\/p**(4\/5)*p))\/p*p))**(-2\/109) assuming p is positive.\nAnswer: p**(592\/4905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*u = -662*u + 322*u - 70 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2 - 1. Let t(v) = -7*v**2 + 1. Let a(l) = 4*f(l) + 3*t(l). What are the prime factors of a(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-45))\/(3\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 48*a + 8927. What is the remainder when 5180 is divided by y(-159)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273 - -289. Calculate the least common multiple of 122 and k.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.586 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114*g + 54*g - 131*g)*(2 + g - 2 - 3) to the form b + o*g**2 + q*g and give o.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3336 + 47858 = 13*u - 123854. List the prime factors of u.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and 558443.7532.\nAnswer: 558450.7532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzmlllzl. Give prob of picking 2 m and 1 l.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21013 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1100020 (base 3) to base 6\nAnswer: -4310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.7 times -0.04152\nAnswer: 0.776424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(4)\/sqrt(2) + sqrt(2)))**2 - (sqrt(38)\/(sqrt(14)\/sqrt(7) + sqrt(2)) - sqrt(19))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l - 67*l - 51 = 133 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 1 - 25. Is 4 a factor of 2\/(d\/12) + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 7. Let j be g(5). Let b be 1*((-6)\/(-3) + j). Let i(l) = -l + 4. Let p(o) = -3. What is b*p(d) + 3*i(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217.3 + -217. Let l = -96 + 767\/8. Which is the second biggest value? (a) 1\/3 (b) l (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1181.9 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-28*5\/200)\/(24\/(-40))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14304955 rounded to 3 decimal places?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*m + 87*m = 1007386. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 - 3*a**2 + 2*a**3 + (-a**3 + 0*a**3 + 3*a**3)*(-56 + 67 + 73) to the form k + h*a**3 + r*a + z*a**2 and give h.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -425 + 412. Let w(b) = -6*b - 6. Let i be w(-4). Let l = u + i. Calculate the remainder when 14 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/394 and -101\/11596?\nAnswer: 2284412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.74 in -2, 37, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113 from 0.17.\nAnswer: -112.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2425560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 6 + (-7 - 4 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*f - 8, f = -0 + 2. Let v(r) = r**3 - 6*r**2 - 6*r + 8. Suppose -2*s = -4 - 10. Calculate the remainder when v(s) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 4*p, -h + 7 = -5*p. Suppose -10 = 2*b - h*k, -2*b - 2 = 3*k - 7. List the prime factors of b*26\/8*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 4*g. Let z(w) = 4*w**2 - 33*w + 2. Determine -6*n(y) + z(y).\nAnswer: -2*y**2 - 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 558922387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376567679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19563.984 rounded to the nearest ten?\nAnswer: -19560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17) + sqrt(68)*2 + (sqrt(17) - (sqrt(1088) + 1)).\nAnswer: -2*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 less than or equal to 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 + -2010013313?\nAnswer: -2010013140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m + 95*m**3 + 41*m - 51*m**3.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1023 divide 3613236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.66 + -21. Let i = u - -0.24. Let r be 12\/16 - -2 - 3. What is the closest to i in -0.4, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*m + 35 + 42, -5*m = o - 185. Suppose -5*v + 25 = -15. Suppose -v*l + 3*l = -95. What is the remainder when m is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 - 5*d - 5. Determine o(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 746 + -743. Put -16, -2, u, -0.1 in decreasing order.\nAnswer: u, -0.1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138976 divided by -4\nAnswer: -34744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*i**3 + 2636*i**2 + 2634*i**2 + 178*i**3 + 2635*i**2 - 7905*i**2.\nAnswer: 254*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 342 - 341.9. Let i = -0.05 - 1.25. Let s = i - -2.2. Which is greater: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1661 and 1208.\nAnswer: 13288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -2 - sqrt(13))*4 + sqrt(13))**2*-3*-4.\nAnswer: -192*sqrt(13) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 759753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 452, 505, 630, 851, 1192, 1677, 2330?\nAnswer: 3175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -312 - -587. Suppose 2*h + 65 = y. Calculate the greatest common factor of h and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 9*p + 2. Let b be i(9). Suppose -2*u - 66 = -6*u + 2*m, -4*m = 5*u - 102. Suppose -8 = -b*h + u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2*sqrt(704) - sqrt(704))*5)**2 + -3.\nAnswer: 3600*sqrt(11) + 158622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 7 + 15. Suppose -h - 101 = -5*q + f, -45 = -2*q - h. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48089006.\nAnswer: 2, 7, 3434929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 15*l**2 + 9*l - 4. Let s be k(-14). Let n be ((-2)\/16)\/((-11)\/s). Factor n*i**2 - 3\/4*i - 3\/2.\nAnswer: 3*(i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {j: 1, r: 1, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 218 - 28 - 80 + 875 + (-3 + 3 - 3)*(2 + 2*d - 2).\nAnswer: -7*d + 985","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 - 13352*q**2 + 6240640*q + 8943244800 = 0. What is q?\nAnswer: -582, 1960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = -2*m, -47 = -j - 5*m. Let q = j + -69. Is q at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-14) + -1)\/((-45)\/4095). Let w(o) = o - 25. Determine w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*w + 47*w - 210. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(2\/(17\/((-68)\/8)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -92, 0, -3, -4 in decreasing order.\nAnswer: 0, -3, -4, -14, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11789.\nAnswer: 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 6*b - 2. Let o = -13 - -18. Let s be z(o). Let l = 7 - s. What is the least common multiple of 6 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -44 - 9) + -7 - (-3 - -3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/9 (c) -4\/11 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9)*l)\/((l**(6\/11)\/l)\/l*l))**(-34\/3) assuming l is positive.\nAnswer: l**(2822\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) - 2*sqrt(425))) + (-1*sqrt(85) + sqrt(85) - sqrt(85))\/sqrt(5).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14735.\nAnswer: 5, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 3\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24779.\nAnswer: 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**(8\/5))**(12\/17)*(l**(-2\/3))**(19\/3)\/(l\/(l*l**(-2))*l\/((((((l**(1\/11)*l)\/l*l*l)\/l)\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(-81592\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370380 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 4. Let j be g(4). Suppose j = 3*u + 2*z - 0*z - 5, -u - z = -2. What is the lowest common multiple of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1466 + -829. What are the prime factors of p?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-24) - 85\/(-3). Let z = b + -19. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.860548 nanoseconds in weeks?\nAnswer: 0.00000000000120016625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128354 less than or equal to 128356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1759049*q**2 - 292175*q + 8.\nAnswer: 3518098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194801 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (4 - 6\/3). Let a(b) = b**3 - 2*b**2 - 2*b + 1. What are the prime factors of a(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4478 = 5*o - 0*i, 2*o - 4*i = 1778. Let r = -558 + o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59501 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(7*j + 0 - 16 + 21).\nAnswer: 14*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0242 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 22*w**2 - 28*w - 60. Let i be f(26). Suppose -2*y = 2*j + 3*y - i, -y + 961 = j. Calculate the remainder when j is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129390.\nAnswer: 2, 3, 5, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4180 and 3851462.21?\nAnswer: 3847282.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/27 + -1 + (-1161840)\/1112400?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 26 = 2*h, 4*q - 14 + 30 = 0. Suppose 0 = 4*u + 7 - h, 2*d - 45 = 5*u. Solve -2*j - 2*j = d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 + -27.42. Let x = 57 + -80. Let s = x - a. What is the biggest value in s, -3, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232475 - 238670 = 177*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 + 9 + -24) - -2 - 57.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1db9 - 1e7?\nAnswer: -20b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*n + 3, 0 = -3*n + 4*u - 8*u + 12. Solve n = d + 4, 0 = -5*v + v - 3*d + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39511 and 118535\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 356819.38 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = v + 9, 2*v = 4. Let f be 6\/24 - (-10911)\/28. Let o = f - 787\/2. Which is bigger: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-460)\/(-368)*(-40)\/725.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*f - 59*f - 70*f as n + c*f and give c.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0.4967. Round j to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 4. Let o = w - 8.1. What is the third smallest value in -5, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119 - 2973 = 135*o + 51*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8206 - 7351. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4639 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(14\/(-8)). Which is bigger: -2.6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -871 + 1757. Let d = 9434 + h. Is 2\/(-14) + d\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (2 + sqrt(5) - sqrt(5)) - (sqrt(5) + 1)*6)*3)**2 + -4.\nAnswer: 108*sqrt(5) + 1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 - 71. Let q = h + -150. What is the nearest to -1 in -1.2, q, 0.5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 + -15)\/(-4) + 44. Suppose -4*y = -f - 370. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-135)\/(-28)) - -2. Let b = -16\/105 - i. Let u = -6 - -11\/2. Is b not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) 0.06 (c) 5\/2 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*l - p, -5*l + 14 = -7*l + 2*p. What is the units digit of ((-44)\/(-20) + l)*405\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30825.\nAnswer: 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/2191 (c) 1\/8 (d) -0.101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 877739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10.56, 1, 0, 0.5 in decreasing order.\nAnswer: 10.56, 1, 0.5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-3))\/4)\/((-98)\/(-28))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 2*v - 2. Let t be u(-3). Suppose b = -3*x + t, -2*b + 3*x = -x + 4. Suppose -4*k + 4 = 4*q, 6 = q + b. Let r(l) = l. What is r(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 34) + -20 - 11 - 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15.78*-1\nAnswer: 15.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**3\/3 + 146*u**2 - 293*u + 344. Suppose b(o) = 0. What is o?\nAnswer: -293, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50874522 to the power of 1\/2, to the nearest integer?\nAnswer: 7133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 4 + 5*q**3 - 6 + 67*q**4 - 2*q**2 - 70*q**4 to p*q**4 + d*q + c*q**2 + b + o*q**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30979.32801 rounded to the nearest 10?\nAnswer: 30980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1863 times -6.344\nAnswer: 11818.872","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 251849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w - 9. Let p(x) = 8*x + 9. Let l(s) = -5*j(s) - 4*p(s). Let i be l(-4). Let h = 87 + i. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**3 - 2*c**2 + 32*c + 7. Let n(d) = -d**3 + d + 1. Calculate -5*n(u) + r(u).\nAnswer: -u**3 - 2*u**2 + 27*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:53 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 439a96 (base 12) in base 10?\nAnswer: 1074642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -4 + -5 + 10 - -21.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + (-32 + 25 - 18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 34 + 5 - (1 - -25)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1039, 2076, 3101, 4108, 5091, 6044?\n\"Answer: -s**3 + 1044*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 6:13 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v + 3*v)*((-1 + 1 + 2)*(0*v - v + 0*v) - 2640 + 48*v + 2640).\nAnswer: 230*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22845 - 23156. Which is greater: b or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x\/(x**(1\/6)*x)*x)*x*x**(-9)*x)\/(x**1*x)**(-36) assuming x is positive.\nAnswer: x**(391\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250145846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 8:05 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 45 = 15. Suppose -2*x = -x - 8. Solve x*s = 4*s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = -12, 2*z = -5*x + 31. Let y(s) = -9*s + 5. Let k(n) = -5*n + 3. Let i be (-1)\/(0 - -1) + -81. Let d = i + 79. What is d*y(o) + x*k(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3487182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20971, 41943, 62915, 83887, 104859, 125831?\n\"Answer: 20972*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 22?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9924731422.\nAnswer: 2, 29, 4153, 41203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 - 9*q**2 + 2*q**2 in the form o*q**2 + r*q + v and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*(0 + -314) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 67. What is the third derivative of 218*g**a - 10*g**2 + 168 + 157 - 319 wrt g?\nAnswer: 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100221 (base 3) in base 7?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 18*f**2 - 52*f + 276. What are the prime factors of w(-11)?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1131322 (base 4) to base 6.\nAnswer: -43454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4 - 537*m**3\/2 - 10413*m**2\/2 + 57679*m - 7128 = 0.\nAnswer: -22, 1\/8, 8, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-126)*24\/(-16)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b**2 - 125*b + 437. Let u(z) = -5*z**2 + 71*z - 219. What is 4*g(t) + 7*u(t)?\nAnswer: t**2 - 3*t + 215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -869*n**2 + 1007*n**2 - 2612*n**2 - 16810*n**5 + 3036*n**5 wrt n.\nAnswer: -826440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 319.143, 0.3, 0.1 in decreasing order.\nAnswer: 319.143, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*l - 35, 0 = -3*r + r - 10. Let q(j) = 2*j - 12. Let g be q(l). Let f = 167\/4 + g. What is the second smallest value in 0.4, 1, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 353522.6 nanoseconds?\nAnswer: 353.5226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3210355, -6420713, -9631071, -12841429?\nAnswer: -16051787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Suppose 3*t = d + 6, 4*d + 6 = d - 3*t. Let o = p + d. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.393 + 0.893. Let x be (-1)\/3 - (-1 + 0). What is the nearest to x in 0.3, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221 - 221 + 5*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2624112.\nAnswer: 2, 3, 18223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 3*n**2 - n. Let v be g(2). Suppose -192 = -3*z - 4*s + 373, -v*z - 4*s + 370 = 0. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -719, -1422, -2125, -2828, -3531?\nAnswer: -4234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -6*v + 4*v. Let n(t) = 20*t**2 + 21*t - 16. What is the remainder when v is divided by n(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35542339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -23728 + 6203. What are the prime factors of m?\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-two fifths of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 150184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1193 + 1292 - 99 - 30*i**2.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -411 - -716. Suppose -3*a + g + j = -4*g, -2*a + g = -201. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 65\/2. Let w = -50.3 + 50. What is the nearest to -0.3 in w, -3, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*i + 5, 4*r + 1 = 4*i - 7. Let u = 4 - r. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-2\/5)*l)**(-36)*(l**1)**42)**(2\/47))**(-15\/2) assuming l is positive.\nAnswer: l**(774\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -1 (c) -2\/11 (d) 6 (e) -462 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -139.4, -5\/16, -3, 5 in descending order.\nAnswer: 5, -5\/16, -3, -139.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-18)*(-9)\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26158731 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 67. Let b(l) = -318550*l - 1. Calculate g(b(p)).\nAnswer: 318550*p - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 622094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (6 - -7) - -12. Solve 3*d = -2 + v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let k(p) = -p**3 - 15*p**2 + 16*p + 5. Let c(i) = -21*i**2 + 5*i. Let q be c(1). Let m be k(q). Calculate the highest common factor of m and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n + 0*n + (-171*n - 21626 + 21626)*(-1 - 2 + 0))*(n + n - 5*n)*(-n + 3*n + 2*n).\nAnswer: -6180*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 596*m**2 - 49*m - 35472 wrt m.\nAnswer: 1192*m - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22645, -23122, -23705, -24394, -25189, -26090, -27097?\n\"Answer: -53*q**2 - 318*q - 22274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4498973 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1095 + 1095.05. Let o = 0.11 + -4.11. Which is the nearest to m? (a) 0.1 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaqa. Give prob of picking 1 i, 1 q, and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = 3*l, 167*l + k = 167*l - 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/44 and 91\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(56)\/sqrt(8) - sqrt(7))**2*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 16 = -z, 0 = -3*j. Let g = -19 - z. Find the common denominator of 63\/4 and (-207)\/24 - g\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9466.45 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4035 (base 8) to base 2\nAnswer: -100000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66363378 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 10, o: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/(-9)) - 15\/60.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.888 + 2.888. Put -1\/5, 0.5, -35, -2, l in decreasing order.\nAnswer: 0.5, -1\/5, -2, l, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1015360956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 2*f**5 - 2*f**5 + (3 - 3 - f)*(1 - 2*f**4 - 1) + 2*f**5 + 5*f**5 - 4*f**5.\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 7\/4 + (-63829)\/(-568). Which is smaller: 115 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -21, -3 in descending order.\nAnswer: 3, -3, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**6\/360 - 5*g**4\/12 + 5*g. Let l(w) be the third derivative of d(w). Let y(h) = -2*h. Determine y(l(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - j - 14. Let s be c(4). Put -6, s, -3, 4 in increasing order.\nAnswer: -6, -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3135 = 2*x - 5*x, 4176 = 4*i - 5*x. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67586857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/1669 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 - 3*j**2 - 15*j**2)*(1 + 5 + j - 5) to s + p*j**2 + r*j**3 + l*j and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4682, 9456, 14230, 19004?\n\"Answer: 4774*g - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -3*s - 2*s - 9, -4*k = 2*s - 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 2, -3.63, 2150?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 15*v**2 - 1. Let p be l(-15). Is -13\/11 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -392 and -0.4.\nAnswer: 156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*p - x, -p - 3953*x = -3989*x + 112 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + (-2 - -17 - (7 - -13))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 8*k - 9. Let o be m(-6). Suppose -o*y + 20 = 8. Solve y*z = 5 - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -17. Suppose 5*b - j - 2 = 0, 0*j = -2*b + 3*j + 6. Suppose t + t - z = b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2. Let i(x) = -5*x**2 - 6*x. Give p(i(f)).\nAnswer: 150*f**4 + 360*f**3 + 216*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1587, -1584, -1579, -1572, -1563?\n\"Answer: s**2 - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 461596, 923177, 1384758, 1846339?\n\"Answer: 461581*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348313.\nAnswer: 7, 17, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**3 + 309*s**2 - 57*s - 72. What are the prime factors of q(-33)?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 11*a - 6. Let r be q(-6). Suppose 0 = -y + 3*y + 5*m - r, -5*y + 122 = -3*m. What is the highest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) -25933 (c) 1.393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-5 - 13) + (-7 - (7 + -22))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 4369702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4793, 0, -5 in decreasing order.\nAnswer: 8, 0, -5, -4793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*(o\/o**(-1\/7)*o*o)\/o))\/o)\/(o**(8\/5)\/o)*(o**(-1))**(-2\/31))**(-9) assuming o is positive.\nAnswer: o**(26154\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 18*n**2 + n + 21. Let f be c(-18). Let x be 56\/f*(-3)\/(-2). What is the greatest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = -23*m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 2*b**3 + 2042985*b**2 - 9524336*b wrt b?\nAnswer: -24*b**2 - 12*b + 4085970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 7:57 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + -60 - (61 - 17)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (8 + -38) - (32 + -20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + u**2 + 1 + 4*u**2 + 6 - 3*u**2. Calculate the remainder when c(-5) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103177 is divided by 881.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -2)*((-2)\/(-6) + (-130)\/300)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755004 is divided by 818?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 + -7*3\/45. Which is the second biggest value? (a) u (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/896 and -25\/4?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 906\/5 in -0.5, 66, -0.9?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 + 80516*h**4 - 1689608*h**3 + 10778704*h**2 - 16406688*h - 28955520 = 0.\nAnswer: -1, 6, 10, 20108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -18, 28*f - 3*p + 17 = 24*f - 2*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**3\/5 - 99*q**2\/5 - 636*q\/5 + 576 = 0. What is q?\nAnswer: -20, -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14379620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18011649 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*h**4 + 6490*h**3 + 109500*h**2 + 503000*h - 80000 = 0. Calculate h.\nAnswer: -80, -10, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-496)\/(-64))\/((-6)\/(-120)) is divided by 148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 5 - 18 - 141*r**2.\nAnswer: -141*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -1562858*o**3\/21 - 23442868*o**2\/21 + 53137202*o\/21 - 68\/21 = 0. Calculate o.\nAnswer: -17, 1\/781429, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-96)*-6*((-3)\/17)\/(3723\/(-42194))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -11) + -13 + 14. Which is smaller: 315\/131 or d?\nAnswer: 315\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 2*l + 2*l**3 + 2*l to the form w + g*l + d*l**3 + u*l**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10672 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -166 (base 8) to base 11\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 8*c - 3*c + 7, c = 4*f + 13. Is ((-2)\/f)\/((-21)\/(-58758)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 13*o + 5. Let p be d(-12). Let g(l) = 5*l - 3. Let z(h) = h + 216 + 2*h - 223 + 8*h. Give p*g(x) + 3*z(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 0, 0.09 in ascending order.\nAnswer: -1, 0, 0.09, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 - (2 + -5). Suppose -r*m - 2*j + 114 = 0, 3*m - 3*j = 40 + 32. Let t = -12 + m. Solve -3*b - 24 = 3*i, 5*i + t = -5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-1)\/sqrt(9) + sqrt(700)*-1.\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -43. What is the derivative of 1 + 9*a**c + 4*a**4 + 396*a**3 - 396*a**3 wrt a?\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003596 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 8415.\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - 0.04. Let k be (275\/(-330))\/(5\/(-2)). What is the nearest to q in -3, -13, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-399)\/54 + 1 and ((-4)\/((-32)\/39))\/(-2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n - 198 = -107*n + 70*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/25)\/(14\/(-10))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbb when three letters picked without replacement from dbbdbbdhdhhhhbdhbhbh.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 (base 13) in base 9?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 28*j. Let w(a) = 5*a + 85. Is w(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 - ((1 - 2) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125389 is divided by 1425.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/42)\/(6\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**11*y*y)*y)*y\/y**(-3))**(-2\/137)*(((y\/(y**(-2\/7)\/y))\/y)\/(y*y\/(y**(-2\/29)\/y*y)))\/(y**(-2))**(1\/2) assuming y is positive.\nAnswer: y**(8058\/27811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/135 and 97\/1935.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 16b3a?\nAnswer: 16b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -116 - 15*b + 116. Let m(n) be the second derivative of -n**3\/3 - 78*n. Calculate t(m(c)).\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -105, -70, 83, 414, 983?\n\"Answer: 10*a**3 - a**2 - 32*a - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(0 + 1 + 1). Let y be (119 + -123)\/((-5)\/3 + 1). Suppose u = -11 + y. Put 5, u, q, 1 in increasing order.\nAnswer: u, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016.869608 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7791909929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-1 - (-3 + 1)) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 42306?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**3 + 10*h + 3994. Is v(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g**3 + 11*g**3 - 4*g**3 + 2*g + 3*g**2 to j*g**3 + z*g + k + s*g**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, -1.6, 1\/2, 45.75?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 139, 267, 395, 523, 651?\n\"Answer: 128*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12409 + -12412. What is the nearest to -0.1 in 3\/13, g, 3\/8, 4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184004 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6 = -4*c, -z + 155*c + 8 = 158*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i**2 - i. Suppose 4*k + 12 = -0, 2*c + 3*k = -11. Let q be g(c). List the prime factors of 354\/15 - 4\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10968 divided by 1828.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82446 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 41*s**3 + 6*s**2 - 11*s + 3. Let y be w(3). Suppose y = 10*k + 91. Differentiate -99*n - 54*n + 7 + k*n wrt n.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 24*g = -26*g - 4, g + 27 = 3*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187925202 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/60 - 9*o**2. Let b(q) = -q**2. Give b(c(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 4*n**2 + 3*n**2)*(-2*n**2 + 2*n**2 + n**2) + 3*n**2 + n**4 - 3*n**2 + (0*n**3 - 2*n**3 + 3*n**3)*(4*n + 2*n - 5*n) - 5*n**4 + 0*n**4 + 4*n**4.\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s = -25*s + 12*s - 111 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 192 = -9*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttrt when four letters picked without replacement from otorotorooooootootro.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1653 and -261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21106 - -37721. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 1, n: 1, t: 1, z: 1}. Give prob of picking 1 f, 1 n, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + t**2 + 3*t + 15*t**3 - 309*t**3.\nAnswer: -294*t**3 + 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 410*h**3 + 6*h**2 - 2557*h. Let v(p) = -409*p**3 - 7*p**2 + 2556*p. Let z(t) = -7*b(t) - 6*v(t). What is the second derivative of z(x) wrt x?\nAnswer: -2496*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = -4*r - 27, 3*f - 27 = -2*r. Solve -5 + f = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1805129*f**2 + 2587*f + 2587. Let u(a) = 2790*a**2 + 4*a + 4. Give -4*b(l) + 2587*u(l).\nAnswer: -2786*l**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 1:23 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-28) + (-24)\/(-14). Suppose -3*z = -5*z + x. Let s = -4.8 - -9.8. What is the second biggest value in 4, z, 9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(40\/(-16) + 0). Suppose 5*u + 25 = 0, 2*z + 6 - 32 = 4*u. Let n be ((-15)\/20 + z)*24. What is the highest common factor of g and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 - 101?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1367*q**5\/20 - 3089*q**3\/6 - 39*q. Find the second derivative of z(b) wrt b.\nAnswer: 8202*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2952743 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -216*f + 162. Let x be b(-15). What is the highest common factor of 42 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*g - 1 = -0, t - 23 = 4*g. Let n be 2\/3 + 689998\/t. What is n rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5350673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -r + 25 + 12, -4*h + 60 = -4*r. Solve -h - 23 = -12*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 25\/10*16\/(-20). Let o be ((-13)\/(-26))\/(c\/(-80)). Let k = 14 - o. Sort 1, k, 2 in descending order.\nAnswer: 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/377348 and -88\/7075275.\nAnswer: 28301100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -172*n**2. Let t(g) = -g. What is t(b(o))?\nAnswer: 172*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 205482.8772 to the nearest ten.\nAnswer: 205480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 + -90. Let t be ((-40)\/(-6))\/(x\/60*-4). Let w = t - -89. What is the highest common divisor of 117 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*(-1)\/40 + (-9876)\/49380.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3))**(30\/7)*(q\/(q\/q**(-2\/9)))\/q**(-2\/3) assuming q is positive.\nAnswer: q**(388\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011067 - 1.938?\nAnswer: -1.926933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*k = h - 3*k + 46, -13*k - 143 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-56))\/(-66*(-12)\/(-144))\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28\/117 + -1819\/2223. Suppose 2*p + 18 = 4*s - 2, -4*s = -3*p - 22. Are q and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-8) - (36\/(-4) + 78\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**3)\/(s\/((s**(2\/13)*s)\/s)*s))\/(s**(2\/3)*s**(-4)))**21)**26 assuming s is positive.\nAnswer: s**2996","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1026\/15)\/(0 - (-1)\/5). Suppose 2*w = -7*w + v. Calculate the remainder when 70 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o + 29*o = 33*o. Factor -2\/17*u**2 + o*u + 0 - 2\/17*u**3.\nAnswer: -2*u**2*(u + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, 0.076, -10 in ascending order.\nAnswer: -10, 0.076, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117873, 235699, 353525, 471351, 589177?\nAnswer: 707003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 980 = -2*l + 5*f, 0 = -5*l - f - 964. Let c = l + 383. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445758769*v**2\/10 + 81369502*v\/5 + 7426658\/5 = 0.\nAnswer: -3854\/21113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.069 + 1.069. Let o = 0 + -4. Let c = 40\/69 - -2\/23. What is the closest to y in o, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326380 = -2086*c + 2106*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -21.2. Put -4, -0.5, u in decreasing order.\nAnswer: u, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.285287 nanograms in grams?\nAnswer: 0.000000006285287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3240 divided by 648\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*j - 53. Let g be (78\/(-10))\/(-3) - 3. What is the fourth biggest value in 4, -1, j, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**3\/5 + 1076*r**2\/5 - 45254*r\/3 + 682040\/3.\nAnswer: 2*(r + 236)*(3*r - 85)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, n: 1}. Give prob of sequence jn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 321 = 1515. List the prime factors of r.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + 50*n + 2. Let y(a) = 7*a**3 - 99*a - 5. Determine -5*h(j) - 2*y(j).\nAnswer: j**3 - 52*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1789*w - 1733. Let f be g(31). What is f rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -14*b + 50. Let d(j) = -18*j - 9 - j + b. Calculate d(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25902\/338338 + (-104)\/(-182). Let d = x + 3\/2197. What is the common denominator of d and -4\/3?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/84 and 73\/2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*s - 257 = 0, 3*s = 3*y - 96 - 99. Calculate the remainder when 14 is divided by y\/14 + 6\/42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 5*z + 3*y, 575*y = -167*z + 574*y - 153 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30181 + -30139. Solve 12*g + b = 26*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 3*l - 147. Let b(n) be the second derivative of 7\/6*n**3 + 0 - n**l - 1\/12*n**4 - 5*n. What is b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**6\/90 - 34*m**3\/3 + 15. Let h(x) be the third derivative of g(x). Factor h(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(25\/125)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -380192.2 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4798*s - 10 - 370 = 4788*s + 120 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, -29363 in increasing order.\nAnswer: -29363, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 200 = -185. Let s = i + 165. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1943.073 litres to millilitres.\nAnswer: 1943073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 218\/(-6) - (-5)\/15. Let l = m + 41. Suppose -4*p - 172 = -4*q, l*q + 0*p - 250 = -2*p. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 171 and -5.\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 9*w = 5*l - 20, -2*l - 11 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clr when three letters picked without replacement from crrlwrclllrwlwl?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403572 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*y - 10*y + 8*y)*(1 - 1 - 4*y**2) + (-y - 3*y + 2*y)*(y**2 - 3*y**2 + 4*y**2) as p + m*y**2 + d*y + q*y**3 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6734 + 3370 + 3364 - 9*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-2016)*-12 + 25\/(-56).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/3 - 335*t**2\/3 + 1891*t + 6669 = 0.\nAnswer: -351, -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71817\/8 + 8989. Let t = -216302\/19 + 11379. Let j = t + 1487\/76. Calculate the common denominator of j and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 + 24*d**2 + 79*d**2 + 36*d**2 + 112*d**2.\nAnswer: 230*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/24 and (7\/24)\/((100\/(-15))\/(-10)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t - t)*(-3 - 1 + 6) + (-2 + 4 - 1)*(-17*t + 6*t - 10*t).\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c = -17*c - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -2*p. Let x be 5 - (-5)\/p*1. What is the second derivative of 12*l - 10*l**3 - 6 + x wrt l?\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 59*w**2 + 1165*w - 56. What is the tens digit of g(72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44105904 and 23739.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + a + 319 + 521 = 0, -2*a = k - 157. Let w = k + 63. Calculate the remainder when w is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 154 + 74 + 21*t + 6.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18*y + 11*y - 15*y + 6141 + 43*y - 19*y. Let r(z) = 2*z. What is p(r(q))?\nAnswer: 4*q + 6141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430198?\nAnswer: 2, 19, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 6524.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 0 = 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + (8 - 1) + 35 + -52.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10*p - 5*p = 0. Let w(m) = m. Let y(k) = -k**2 - 5*k + 7. Let a(n) = 4*w(n) + y(n). What is a(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 2. Let h be i(0). Suppose -6 = -h*w + 8. What is the lowest common multiple of w and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4983301 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -36*q - 1507. Let b be o(-42). Let t(p) be the first derivative of b*p**2 + 2\/3*p**3 + 8*p + 24. Factor t(i).\nAnswer: 2*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 + 159*m**2\/4 + 404*m - 444 = 0 for m.\nAnswer: -148, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Let c = m + 2. What is the second derivative of -y**5 - 2 + 2 - c*y wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/((-20)\/(-8)))\/((-1)\/2). Sort n, -1, 0, 9 in descending order.\nAnswer: 9, n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33040 and 1085?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**5\/v)\/v)\/v)\/v*v)\/v*v)\/v*v*v**(1\/14) assuming v is positive.\nAnswer: v**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0*k**3 + 1\/160*k**6 + 0 + 2*k**2 + 0*k + 1\/840*k**7 + 1\/96*k**4 + 1\/80*k**5. Find t, given that q(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90940, 92572, 94204?\nAnswer: 95836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 177095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -970, -954, -920, -862, -774, -650, -484?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + (-11 + -4 - (-10 - -2)) + 12?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 275. Let v = 220 - n. What is the second biggest value in v, -26, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -218 - -1093\/5. Find w, given that -1\/5*w**3 + 0 + n*w**2 + 0*w = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4873 - 522. List the prime factors of a.\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -159*g**3\/2 + 931*g**2\/2 - 128*g - 2. What is the derivative of m(d) wrt d?\nAnswer: -477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*(-8 + (-12 - -10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.368700691 rounded to 3 dps?\nAnswer: 17.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -972*r**2 + 7782*r - 40. Let c be l(8). Let u = -311 + 2491\/8. What is the nearest to 0.3 in u, 2\/13, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -c + 3, -4*c + 19*c - 4*g - 67 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**31\/y*y*y\/((y*y**(5\/13)\/y)\/y*y)*y)\/(y\/(y*y**(-1\/18))*y**(-7)))**(-18) assuming y is positive.\nAnswer: y**(-9257\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 100113763+-28\nAnswer: 100113735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015789912 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let f(g) = -g + 7. Let h be f(5). Solve 2*i + i = -q*l - 2, -l = h*i + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 17 = r, 0 = 2*r - r + 3*a + 7. Let l(f) = 7*f**2 + 8*f. Let v(t) = -6*t**2 - 7*t. Determine r*l(q) + 6*v(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-306)\/(-30) + 4*(-4)\/80. Let w be k\/3*(-3978)\/(-585). Solve 8 + 64\/3*o**4 - 28\/3*o**5 - w*o + 32*o**3 - 88\/3*o**2 = 0 for o.\nAnswer: -1, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0346046018 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:58 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28954.\nAnswer: 2, 31, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 247381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 - 1620*o + 1620*o. Let p(a) = a**2. Determine z(p(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/(-234) - -36*(-47)\/3384\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818684 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**5 + 3*z**3 - z**3 - 2*z**5 + (3*z**3 - 6*z**3 + z**3)*(-2*z**2 + 7*z**2 - 3*z**2).\nAnswer: -2*z**5 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486231009 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 21*i - 87. Determine k(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - 26144070690\nAnswer: -26144070689.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**3\/2 - r. Let s(g) = -2*g. Let j(a) = -2*a + 6. Let m be j(6). Let t(k) = -2*k. Let n(o) = m*t(o) + 5*s(o). Give u(n(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, b: 2, e: 1, m: 1, i: 7, w: 2}. What is prob of picking 1 e and 1 i?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -3, -14, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2335.081 - -2334. Let k = -0.081 - i. Which is the nearest to k? (a) -4 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*j**2 + 23312*j - 23312*j.\nAnswer: -92*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 - -4. Let t be 133\/441 + 1\/7. Which is the third smallest value? (a) s (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216.33 + 217. Let a = v - -3.98. Round a to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + 1) - (2 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-12\/7) assuming j is positive.\nAnswer: j**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 53*j**3 - 100*j**3 + 63*j**3 - 3*j + 5*j**2 - 3*j**2. What are the prime factors of i(2)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 31 = -3*l - l, 0 = -4*l - 3*p + 37. Calculate the greatest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64650237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 62*b - 98. Calculate the lowest common multiple of r(4) and 210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*j - 10 = 0, -5*r + 6*j = j. Let t be ((-12)\/(-9) - 1)*9. Suppose t*y + 0 = 24. Solve r*x = 3*d - 0*x + y, 4*d = -x + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 229*n**2 + 338*n - 6 - 346*n + 240*n**2. What is the tens digit of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 202*s**2 - 208*s - 50 + 58*s**2 - 23 + 16*s**3 + 0*s**2 + 5 = 0.\nAnswer: -17, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2196 and 24549119.\nAnswer: 24551315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, -1, -8, 2 in decreasing order.\nAnswer: 194, 2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 473*n + 8046. Determine v(16).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470063 by -25.\nAnswer: -470063\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11117 or 11116?\nAnswer: 11116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 divided by -5?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -204 - -218. List the prime factors of 61503\/91 - (-2)\/r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4197799 is divided by 235?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (-2*sqrt(704) + 1 + ((1*sqrt(704) - sqrt(704) - sqrt(704)) + 1 - sqrt(704)))**2 + 3*(1 + sqrt(704) + 1)**2).\nAnswer: -128*sqrt(11) + 53572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 7*d - 1. Let q be j(-6). Let s be 2\/4 - (-34)\/4. Let l = q + s. Solve 2*n = 3*n - u - 2, 3*n - l*u - 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.4, -161, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7008\/70 - (-4)\/(-10). Let d = -100 + j. Let n = -0.1 - 0. Which is the closest to n? (a) 0.5 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*p = -2*w + 752, 9*p = 14*p - w - 62 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2431 + 5154. List the prime factors of m.\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23421, 45348, 67275, 89202?\n\"Answer: 21927*b + 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/743 at most as big as -143604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310915342?\nAnswer: 2, 151, 1029521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 6640?\nAnswer: 46480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000680716762 rounded to 6 decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-2) + -1)*32\/(-48). Let x be b - (-537 - 0) - (-1)\/(-1). Calculate the greatest common factor of x and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {p: 2, k: 1, r: 11, q: 1}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1020.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 * -1.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/210 - 83*t**4\/84 + 82*t**3\/21 - 12*t**2 - 12. Determine p, given that k(p) = 0.\nAnswer: 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8397 (b) 0.5 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 439565*y**4 - 58*y**2 + y + 392 wrt y?\nAnswer: 10549560*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + (-6)\/14)*(-6 - 1). What is the second derivative of 4*k**3 - 3*k**3 + 1987*k - 1989*k + f*k**2 wrt k?\nAnswer: 6*k + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 8:56 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2123230 and 670.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15355 minus -0.20464?\nAnswer: 15355.20464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:30 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 26, 3, -1.\nAnswer: -8, -4, -1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-12) - (-71)\/(-2). Let y = w + 98. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**2 + d. Let r be c(-1). Suppose -3*b + 34 = -11. What is the units digit of (-27)\/b*30\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*i + 5*l, -3*i = i - 5*l - 3. Suppose -i*y + 50 = 3*a, -4*a - 12 = 4*y - 116. Round y to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4863 + -0.0863. What is the smallest value in q, 46, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1414 - 1409. Suppose -4*q = -2*q - 4*s - 32, -13 = -q - s. What is the third derivative of 8*l**5 + 23*l**5 + 42*l**2 + 18*l**5 - q*l**n wrt l?\nAnswer: 2100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 732 = 26*k - 14*k. Calculate the remainder when k is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 574.24 - 573. Let w = y + -3.24. Which is the second biggest value? (a) 2 (b) 8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 68*x + 176. Determine v(7).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14811262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7820.3166 - 7821. Let t = 32.5466 - z. Let b = t + -31.9. What is b rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-258*x**3 + 234*x**3 - 38*x + 43*x)*(-x + 0*x - 2*x) as c*x**3 + d*x**2 + h*x + a + m*x**4 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/13 - 148*t**4\/13 + 1512*t**3\/13 - 1328*t**2\/13 - 9920*t\/13 = 0. Calculate t.\nAnswer: -2, 0, 4, 10, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12964 - -12963. Which is smaller: i or 336.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -42 (b) 4 (c) 38 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31442 (b) -1\/8 (c) -5 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16539998 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyzyzdddzydtd. Give prob of picking 1 y and 3 z.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -103, -152, -211, -286?\n\"Answer: -v**3 + 4*v**2 - 50*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y - 2*y - 2*y**2)*(-3*y**3 + y**3 + y**3) - 2*y**5 + 3*y**5 + 0*y**5)*(-5 + 3 + 0) + y**5 + y**5 - 3*y**5.\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -25. Let z = 16 + k. Suppose 5*r - c - 6 = z, -2*c = -2*r + 4. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006532 rounded to four decimal places?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 135 = 4*d - 3*w, 4*w - 70 = -3*d. Let k = d - -116. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -143, -141, -137, -131, -123, -113, -101?\n\"Answer: a**2 - a - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 2. Let o(g) = -9*g**2 - 5*g + 31. Let v(w) = -30*w - 9*w**2 + 33 + 26*w + 8 - 12. Let x(u) = -4*o(u) + 5*v(u). What is 21*q(t) - 2*x(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*g - g = -993, -5*q + 3*g + 1651 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*z = -228686, -z + 634777 - 177419 = 6*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1583*g + 778*g - 2091*g**2 + 805*g.\nAnswer: -2091*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109188*g**4 + g**2 + 17150.\nAnswer: 2620512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a + 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 11:45 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jddsdjjj. Give prob of picking 2 d and 1 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 116440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1 (c) 4\/5 (d) -232\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -52*b + 13. Let n(v) = -13*v + 3. Let r(p) = -p**2 + 15*p + 3. Let o be r(15). Let i(q) = o*z(q) - 13*n(q). Let m(c) = -2*c**2. What is i(m(w))?\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3956673.44354 and -0.4?\nAnswer: 3956673.84354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 6*z + 8. Suppose -18 = -3*h - z*f + 7*f, -2*f - 22 = -4*h. Is ((-4658)\/85)\/((-1)\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 107\/28, -1, 0, 62\/9, 1\/2, 2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108 - 101. Solve -4*q = -5*x - 1, 0 = -3*q + l + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 95*v - 1019. Give r(10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1229 from -5.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-225) - (-155885)\/(-125). Let r = 14180 - k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39515 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: Solve -3114 = -262*c - 138 + 954 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378 - 382 + 760 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.04. Let w = y + -3.96. Let v = w + 4.1. What is the second smallest value in -4, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 7 = 2*l + 25, 153*l - 105*l + 432 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.14 + 15. Let o = j - 1.86. What is the closest to 0.1 in 6, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2 - -2)\/6)\/(8\/(-1)). Solve d = -7*c + 4 + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*s**3 - 276*s**3 + 48*s**3.\nAnswer: -390*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-26)\/(-2340)*25\/((-750)\/(-72)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/8)*y\/y**(3\/2)*(y**(-2\/5)\/y)\/y**0)\/(y**(3\/7)\/(y*y**(4\/3)\/y*y)*(y\/(y**5\/y))\/y**(-2\/23)) assuming y is positive.\nAnswer: y**(63617\/19320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(128)*2 + 2 - (-1*sqrt(6)\/sqrt(3) + -5)) + 3*(sqrt(4)\/sqrt(2)*-5 + 3 + (sqrt(2) - (sqrt(6)\/sqrt(3) - sqrt(2)) - sqrt(2))))**2.\nAnswer: 64*sqrt(2) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 0 - 6)*((0*k + 2*k - 4*k)*(3 - 4 + 3) - 13*k - 17*k - 16*k)*(-k - k + 0*k) as b + w*k + g*k**2 and give g.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962*n = 960*n - 5*g - 11, 4*g = -20. Solve -2*w + 4*f = 6, -4*f = 8*w - n*w + 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 13*i**6\/360 + i**5\/30 + 5*i**4\/12 - i**3\/3 - 16. Let c(k) be the third derivative of w(k). Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 305918915 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.0497, 116.9, -0.5?\nAnswer: -1.0497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:31 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - o**2 - 7*o - 2. Determine j(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -10*i**2 + 0 + 0*i + 8\/3*i**3 + 25\/24*i**4. Find the first derivative of f(m) wrt m.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*r - 4, -8 = 4*b + 3*r - 9. Sort -3, -6, b, -2 in increasing order.\nAnswer: -6, -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -d7?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75? (a) -64 (b) 4\/3 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 59, 78, 99, 122?\n\"Answer: j**2 + 14*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + f**2 + f)*(3*f - 2*f + 4*f) - 5*f**3 - 2*f**3 + f**3 as p + t*f**3 + z*f**2 + g*f and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = -8. Let h(u) = -25*u + 10. Let g(w) = -8*w + 3. What is v*g(c) + 3*h(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + r + 1)*(0 + r + 0) - 4*r + 4*r - 2*r**2 + (0*r - 2*r + 3*r)*(-2*r - r + r) + 0*r + 2*r**2 + 0*r to the form l*r + h + i*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 604, -12\/17?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 5*l + 8. Let x(z) = -z + 1. Let b(d) = -f(d) + 3*x(d). Let t be -4 - (0 + 12\/4). Let n be b(t). Solve 0 = 4*j + 16, 16 = -n*o - o - j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/34986 and -47\/24.\nAnswer: 139944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*c, 56 = 4*b - 3*c + 77 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**11)\/m)\/(m*((m\/(m**(-12\/11)\/m)*m*m)\/m)\/m) assuming m is positive.\nAnswer: m**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 + 3 - 3 - 3*j**2 - 2*j**2 - j**2 + 1 + 2*j**2 - 1 - 2 + 2 + 2*j**2 + (-j - 2*j + 2*j)*(j + j - 3*j) to p*j**2 + z*j + t and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.761? (a) -21\/37 (b) -3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 9*h**2 - 16*h + 5. Let s be q(4). Suppose 0 = -7*z + s*z - 2548. Solve -l = -z + 185 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 125*t**2 + 9*t - 17. Let w(j) = -125*j**2 - 8*j + 15. Let y(a) = -5*o(a) - 6*w(a). Find the second derivative of y(b) wrt b.\nAnswer: 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1926 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 33*l - 23*l - 5*l**3 + 10*l**2.\nAnswer: -5*l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(208) + sqrt(208))*-5*2 + 2)**2.\nAnswer: 2880*sqrt(13) + 83524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 + 8\/(-12). Let y(p) be the second derivative of -2*p - w*p**3 + 0*p**2 + 0. Let b(g) = 2*g**2. Calculate b(y(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -31*r + 9. Let u be h(4). Let y = u - -573\/5. Which is the nearest to -0.1? (a) 4\/7 (b) -2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/((-112)\/(-20))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 25*m**3 - 2*m**2 + 3*m. Let i(u) = -50*u**3 + 5*u**2 - 7*u. Determine -4*i(a) - 9*v(a).\nAnswer: -25*a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 10. Suppose -w - 7 = -m. Let r be (-6)\/m*(7 + -3). Sort r, 2, 0.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1801*u - 616*u + 26070 = 0 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941805 + -17074?\nAnswer: 4924731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6798459567.\nAnswer: 3, 41, 113, 489133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2458350 and 3192213?\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/41, 1, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7360724196986 less than 0.3?\nAnswer: 2.0360724196986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + 3 = 0. Let m be (-19027)\/577*r\/(-21). Let l = m - 2\/577. What is the common denominator of l and -25\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i*r**3 + 19*i*r**2 - 5458*i*r + 5*r**3 + 3071*r**2 - 1810*r wrt r.\nAnswer: 42*i*r + 38*i + 30*r + 6142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6075465\/439 or 13839?\nAnswer: 6075465\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.9187 years in decades?\nAnswer: 47.09187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.04, -1114, -1\/2, -0.4 in ascending order.\nAnswer: -1114, -1\/2, -0.4, -0.1, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 + c**3\/6 - 14*c**2. Determine k so that f(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21806 - -34493. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - q - 2 + (-7 + 8*q + 7)*(-4 - 1 + 3))*(-2*q + q - q).\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 1 + 3)*(-2*p**2 - p**2 + 4*p**2 + (p - 15*p - 2*p)*(2*p - 2*p - p)).\nAnswer: 680*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = -16*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 47*x**2 + 3*x + 5. Let m be a(-2). Let n(v) = 3*v**2 - 3*v + 2*v + 3*v - 4. Let w be n(-3). What is the highest common factor of w and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7386, 7370, 7352, 7332, 7310?\nAnswer: 7286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v + 32. Let o be x(10). Let g = 91 + o. Solve 5*r + 11 = -g*l, 2*r + 2*r - 4*l + 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b22 + 205?\nAnswer: 6027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 - -1528\/9. Let v = 894\/7 + -128. Which is the nearest to l? (a) -1 (b) v (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (4 - (-17 + 18)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnba when four letters picked without replacement from {b: 1, a: 5, g: 2, c: 3, r: 1, n: 3}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 140. Solve o*v = -2*w - 3 - 3, 16 = -4*w - 4*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:18 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 21*i + 20. Let n(r) = r - 3. Let h(y) = 3*n(y) + x(y). What is the derivative of h(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59898045 to the nearest ten thousand.\nAnswer: 59900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d = -99 + 153 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12135*n**4 - 2187*n - 5 wrt n?\nAnswer: -145620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 8207608376272.\nAnswer: 8207608376271.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2103 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*l**3 - 61*l**3 + 3*l + 110*l**3 - 2*l**2 in the form j*l + t*l**2 + r + h*l**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, 1 q, and 1 f when four letters picked without replacement from {q: 1, b: 3, a: 1, f: 1, j: 5, d: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78546 is divided by 1190.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*v**2 + 22*v**2 + 0*v**4 + 4*v**4 wrt v?\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -968, -974, -978, -980, -980, -978?\n\"Answer: p**2 - 9*p - 960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o + 4*l + 13 = 0, -3*o - 3*l - 12 = 0. Suppose 0 = -q + 2*q + 4. Let y be (12\/o)\/q - -2. Solve -h + y*h = -6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 25*u**2 - 16*u - 7*u - 3136 + 3018 + 3*u - 7*u. What is the hundreds digit of d(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*x + 145*x - 2 + 1 + 1 - 4 to v*x + j and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 2*i**3 - 55*i**2 + 55*i**2 + 13 as g*i**2 + k*i**3 + t*i + c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/3, -142, 5, 2 in descending order.\nAnswer: 5, 2, 2\/3, -1, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 66*x**3 - x**2. Let m be g(1). Suppose 0 = -8*c + 4*c + 2*t + 50, 4*c - m = -3*t. Let s = 118 + -79. What is the remainder when s is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -884*y**2. Let g(i) = 14*i - 18. Let v(p) = 44*p - 57. Let h(l) = 19*g(l) - 6*v(l). What is h(t(u))?\nAnswer: -1768*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 1522*h - 1520.\nAnswer: -2*(h + 1)*(h + 760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-724)\/(-18) - 18\/81. Solve 0 = -5*g + 4*j + p, -4*g + 2*g - 3*j = 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 210, 2, -1056, -7, -2, -4 in descending order.\nAnswer: 210, 2, -2, -4, -7, -1056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2934*r**3 - r**2 + 72. Let y(x) = -11733*x**3 - 5*x**2 + 287. Let j(d) = -13*b(d) + 3*y(d). Find the third derivative of j(i) wrt i.\nAnswer: 17658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/76 or 0.1?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20286 >= -0.51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1042 + 1038. Let t(q) = 3*q + 1. Let c(u) = 6*u + 2. Give a*c(k) + 9*t(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5188*2\/16 - (-6)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 544.\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a*a)**26*a**12*a**3)**13 assuming a is positive.\nAnswer: a**871","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3684, -8690, -13644, -18540, -23372?\nAnswer: -28134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1429488424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/(-35))\/((-2)\/(-10)). Suppose -k - j = -12, -2*j = w*k + 3*j - 28. Calculate the highest common divisor of k and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/9))**(-3\/17)*(s**(1\/4))**(3\/31))**(39\/4))**12 assuming s is positive.\nAnswer: s**(-3705\/2108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-1494)\/(-1162))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/12105876 and 149\/37410?\nAnswer: 60529380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 2*a**2 + 4 + 2*a - 4*a**2 - 2. Let o be x(-1). Solve o*y = -16 + 41 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.2, 2\/491, 0.4, 7\/2, 0.3, -3\/35?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phph. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325500 + 3?\nAnswer: -325453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*q + 6. Let n be q\/2 - 1\/2. Solve 0*o + 0 + 2\/9*o**n + 2\/9*o**5 + 0*o**2 - 4\/9*o**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 7:34 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 18\/8) + 228\/(-48). Suppose -23 = 5*b + 12. Let h(x) = 7*x - 3. Let o(d) = 4 - 10*d + d - d + 0*d. Calculate b*h(y) + l*o(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 52, 9, 1\/6, -0.0352, -3 in ascending order.\nAnswer: -3, -1, -0.0352, 1\/6, 9, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 5*g + 9. Let m(t) = 2*t**2 + 6*t - 10. Let w(p) = -6*f(p) - 5*m(p). What is w(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 - 3963*b**2\/2 - 3962*b.\nAnswer: -b*(b + 2)*(b + 7924)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + 1 + (-345)\/(-3). Let g be 27\/l - 74\/8. Let v(k) = k**2 + 7*k - 16. What is v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077761.\nAnswer: 79, 38959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29930706 divided by -2886?\nAnswer: -10371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(77) - (2*sqrt(77) - sqrt(77))) + sqrt(77))*5)\/(sqrt(567) + (sqrt(567) - (sqrt(567) - (2*sqrt(567) + sqrt(567) - sqrt(567))))*1).\nAnswer: 10*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185979 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/774 and 77\/33444.\nAnswer: 1438092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.94 and 3.\nAnswer: -29.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1450)\/(-9135)*((-2128)\/6)\/(-4) - (-140)\/(-1890)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 + -0.1749705.\nAnswer: -0.2049705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/27*8\/(-14). Let g = -0.5 + 0. Let l = -17 + 20. Which is the nearest to 2\/7? (a) l (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 48807\/2 (c) -2\/1307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 2*o**2 - 5*o - 5. Let q be h(-3). Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*w**5 + 1409*w**2 - 1409*w**2 + (2 - 4*w**4 - 2)*(-3 + 3 - 2*w).\nAnswer: 47*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 3. Let w be m(0). Suppose -t + 4*t = 12. Suppose -w*l = -l - 5*h - 16, -l - 5 = t*h. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 891 = 4*g - 101. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1563 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, b: 2}. Give prob of picking 2 b and 1 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -30414 at least -30411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -f. Let g = 27 + -16. Let l = g - f. 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 u = -1 + 1. Let y be ((-1)\/(-6))\/((-4)\/18). Let w = 26860\/3 - 8954. What is the smallest value in u, w, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14214123110 + -4?\nAnswer: 14214123101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 8:14 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 27*h**2 - 2*h + 7. Let i = -12515 + 12542. Give q(i).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 5*r - 13. Calculate v(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 8*q**2 + 18*q + 4. Give s(6).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*r - 10 + 164*r - 313*r.\nAnswer: 10*r - 10","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 9824459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 10*j = -7*j + 45. Solve -18*i = j*i - 46 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1147 divided by 797\nAnswer: -1147\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 18}. What is prob of sequence dw?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -596, -1759, -3692, -6389, -9844?\n\"Answer: g**3 - 391*g**2 + 3*g - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(1*sqrt(7))*3)\/(3*sqrt(18)\/sqrt(3) - ((sqrt(150) - (sqrt(150) - (1*sqrt(150) - sqrt(150)))) + sqrt(150))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*i - 42 = 0, -33 = -4*z - 5*i + 6. Let q be (3 - 1\/1) + z. Solve 7 = 5*r - q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7474 + 12532. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-45) - (-43)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -0.06, -1.23, 2\/7 in decreasing order.\nAnswer: 2\/7, -0.06, -1.23, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 253. Let v(x) = 4*x + 250. Give 3*t(p) - 4*v(p).\nAnswer: -p - 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 2*j**2 - 3*j**2)*(3*j + 3*j - 5*j) - 23998*j**3 + 11850*j**3 - 11244*j**3 as r + w*j**3 + n*j**2 + c*j and give w.\nAnswer: -23393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 63*h**2 + 2*h + 1. Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60056 by -2.\nAnswer: 30028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 1. Suppose 0 = h - 0*h - 2*p + 8, 0 = -3*h + 3*p - s. Suppose -5*b - 4 = -24. Solve -q - q - b = h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 20. Is 7 a factor of 172\/8 - (-2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1486.8 + -1487. Which is the nearest to -1\/4? (a) -3 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2. Let v(h) = -h + 1. Let n(u) = -a(u) + 2*v(u). Let r(b) = -119*b + 2. Determine r(n(q)).\nAnswer: 238*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -293*u**7\/21 - 281*u**4\/4 + 4*u + 18. Find the third derivative of d(x) wrt x.\nAnswer: -35160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198 - 993\/5. Let b = 0.42 + -1.9. Let v = 1.49 + b. What is the closest to 1 in 0.5, v, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 3*d)*(-4*d + 4*d - 4*d**2) + 2*d**3 + 2*d**3 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3 - x + 12 - 9. Give a(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + -30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (146 + -94)) + (2 - 8).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvy when three letters picked without replacement from {v: 5, y: 2, w: 4, b: 1, h: 2}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - b**2 + b + 2*b**2 + b**2 - 6*b**2 + (-2*b + 3*b + 0*b)*(-4*b + 3*b + 0*b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*x = -5*g - 21, g + x + 6 = 0. Let o be (-1)\/(-1) + g + -4. List the prime factors of (-1)\/o - (-404)\/24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 28 + 28 = 0. Suppose -5*w + 15 = 0, 2249988 = -j*b - 5*b - 4*w. What is b rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.6 less than -0.3?\nAnswer: -817.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) + -2*sqrt(400)*-1)\/sqrt(8))\/(sqrt(80)\/(sqrt(512) - (sqrt(512)*-2 + sqrt(512) + sqrt(512) - sqrt(512)))).\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5905, -6254, -6829, -7624, -8633, -9850, -11269, -12884?\n\"Answer: f**3 - 119*f**2 + f - 5788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/17)*v*v**10 assuming v is positive.\nAnswer: v**(189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*p = 2585, 12*p - 7*p + 523 = y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 - 1\/3. Suppose 2 = -7*o + 2. Suppose o - x*w**2 + 1\/3*w = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2855 - 1260 = 277*u + 1702 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -990 divided by 110\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 12*b + 63. Suppose s + n - 14 = -0*s, -6 = -2*n. Calculate the remainder when c(-12) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-415)\/(-45))\/(-1) + 9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 162*h**4 - 8*h**2 + 4. Let i(v) = 161*v**4 - 7*v**2 - 2*v + 3. Let p(g) = -4*i(g) + 3*w(g). Find the third derivative of p(l) wrt l.\nAnswer: -3792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 3*u**2 + 13*u + 8. Let v be g(-3). What is the common denominator of 83\/124 and (-3190)\/440 - (2\/v - 0)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9455 is divided by 3150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1935*k**4 - k**3 - 19405*k**2 + 389187617 with respect to k.\nAnswer: -7740*k**3 - 3*k**2 - 38810*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 6\/17, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25205 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225177 - 129537. What is l rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/8 - 4*l**2. Give n(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13063.113 rounded to the nearest one hundred?\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111100000010111 (base 2) in base 11?\nAnswer: -88a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 35*p - 19756 = -36*p, 4*p - 19744 = -5*m. What is m rounded to the nearest 100?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-248)\/(-310))\/((-12)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 - (-3 - 0 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -562805, -1125598, -1688391?\n\"Answer: -562793*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*i**2 + 3*i + 149*i**2 - 1 - 3*i.\nAnswer: -14*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 615456?\nAnswer: 615451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-27)\/12)\/((-2)\/8). Let f = 32 - j. Calculate the remainder when 45 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -24*z**2 + 70*z - 198. Let l(o) = -13*o**2 + 34*o - 101. Let g(q) = 4*c(q) - 7*l(q). Factor g(k).\nAnswer: -(k - 5)*(5*k - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-31 + -5 - -27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (1639 - 1628 - (1 + (31 - -3)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 + -323544?\nAnswer: -323252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, o: 1, y: 2, c: 9, t: 1}. Give prob of sequence zocc.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let k(d) = d**3 + 6*d**2 + d + 5. Let u be k(-6). Let r(b) = -4*b + 2. Let q(w) = u*r(w) - 3*x(w). Is 7 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1617*k - 5018*k + 700*k - 5177*k in the form d + n*k and give n.\nAnswer: -7878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqn when three letters picked without replacement from {q: 7, n: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - -76. Let y = -54 + q. Let l = -51 + y. Which is the third biggest value? (a) l (b) 2 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 8712?\nAnswer: 8716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 7:53 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 265*-14\nAnswer: -3710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9059 - -9057. What is the closest to k in 3, -5, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4581495, 9162992, 13744511, 18326064, 22907663?\n\"Answer: 2*u**3 - u**2 + 4581486*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, -32, 110\/3 in increasing order.\nAnswer: -32, -2\/9, 3, 110\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q + 4, -2*m + 18 = -4*q. Suppose b - 21 = m. Solve -5*v = 5*r - 10, 4*r - b = -r + 2*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11283 + 16973. Is 75 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 4*w**2 + 4*w**2)*(0*w - 2*w + 3*w)*(80 + 91 - 123) in the form k + n*w**2 + a*w + j*w**3 and give j.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 19*m**2 - 6*m - 22. What is the smallest common multiple of 15 and w(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)\/o**(-4\/9)*o**(-2\/13)*o*o**(-1\/2) assuming o is positive.\nAnswer: o**(-283\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*u + 49*u + 18. What is the highest common factor of 90 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*v - 146*v + 4 - 4.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 15, -5, -45, -111, -209, -345?\n\"Answer: -j**3 - j**2 + 4*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -5*n + 3*p, 112*n + 4*p - 16 = 114*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5, -5*q = 74*l - 69*l + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and 143?\nAnswer: 5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -12. Let i = -345 - -192. Let y be (-2)\/(-8) + i\/324. Sort y, -0.3, v in decreasing order.\nAnswer: v, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 9*l**2 - 5*l + 3. Let r be o(0). Suppose 6 = 3*j - 0*j. Solve 4*b + 10 = -2*i, 0*i - r*i = -j*b - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 373083 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4948462 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323 divided by 3.\nAnswer: -323\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1895638 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2231 <= -439285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 23) + (41 - 47) + 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Let i(n) = -n**3 + 8*n**2 - 8*n + 6. Suppose -y - 34 = -5*h - 2*y, 10 = h - 3*y. Let b be i(h). Put r, -4, b in increasing order.\nAnswer: -4, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3632 + 3625. What is the biggest value in c, -2\/3, 5, -42?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172 + 95. Let t = -76 - g. Is t at most -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 20 - 60*s as u*s + t and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 9:07 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/a*a*(a\/a**(4\/9))\/a*a**10\/(((a**(5\/6)*a)\/a*a)\/a*a) assuming a is positive.\nAnswer: a**(121\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388148.\nAnswer: 2, 23, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 3*d - 5*o - 3, -5*d = -5*o + 55. Let v = d - -17. Let q(t) = t**2 - 5*t - 9. Does 5 divide q(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22419 + 22431. Solve i = 2*w - 5*j - 21, -4*j - 32 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, h: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4002 (base 7) to base 12\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11843 + 11871. Solve -4*w - 4*u - 4 + p = 0, 0 = 5*w - u - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.1. Let x = -0.05 - 0.05. What is the nearest to z in -1, x, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -598 or -4185\/7?\nAnswer: -4185\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -144 and -655.\nAnswer: 94320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 8, 1, 72, 0 in descending order.\nAnswer: 72, 63, 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8502)\/273)\/(11\/(-42)) - (7 - (-78)\/(-11)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, n: 1, k: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/8 + 24*k**2 - 21. Let o(d) be the second derivative of x(d). Let q(p) = -5*p. What is o(q(j))?\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(833) + 1 + sqrt(833) + 1 + ((sqrt(17) + sqrt(153) + sqrt(17))*5 - (sqrt(153)*-3 - sqrt(17))))**2*-5*6.\nAnswer: -4898520 - 23520*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 342511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*b + 8, 3*m = -2*b + m + 4. Let r be 36\/8*2*(-32)\/(-12). Let x(g) = -g + 0*g**2 + 5*g**2 + 24 - r. What is x(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x = 353*x + 31*x + 308*x + 80640 for x.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 2200*r**2 + 15355*r - 30. Calculate b(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 52 + 160)*(5 - 5 - m).\nAnswer: -208*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = 196 - 130 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(204))\/sqrt(12) - (-1 + sqrt(17) + 1)**2)*5.\nAnswer: -85 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 12*f**2 + 9*f + 3. Let y be x(6). Let t = y + 12. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u + 1 = 2641. What is the highest common divisor of u and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 4668*j - 13977.\nAnswer: -3*(j + 3)*(j + 1553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 + i**4\/12 + 7*i**3\/2 + 20077*i**2 + 1. Let r = 4 + 2. Calculate b(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*z + 11, u - 4*u + 4*z = 0. What is the common denominator of -19\/45 and u\/22 + (-5)\/(8250\/(-228))?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-36)*30879\/(-1365538)\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.074783 tonnes to micrograms.\nAnswer: 6074783000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 5 (b) 3 (c) -58\/45 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2318500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:02 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 - 3*g**3 - 7*g**2\/2 + 6*g - 9. Calculate h(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 5*l - 2. Let v be x(3). Calculate the lowest common multiple of (2\/v + 0)\/((-10)\/40) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -584.97 and 0.29.\nAnswer: -169.6413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -180*u + 12. Let r be f(-1). Let q = r - 380. Let j = 334 + q. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/69? (a) 324 (b) 1\/49 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Let w(b) = b - 2. Let q be w(p). Suppose 2*z - 52 = -q*z. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-3)\/((-3)\/25) - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*p = 20, 2 = 5*p - 3. Solve 4*i + i = s + 22, -5*s + 2*i = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*((-51658)\/(-2070) + -25)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 917847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:47 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879*n = 921*n. Solve -42*s + 55*s - 39 = n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**4\/8 + 2*d**3 + 14*d**2. Let s be o(16). Suppose 21*z = 24*z - s. Calculate the highest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 2*a)*(-4 + 4 + a) + 3*a**2 + a**2 - 3*a**2 - 5*a**2 - 2*a**2 - 15*a**2.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4786 = -2*f, 7*u - 11960 = -5*f + 2*u. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4 + (1*-1*sqrt(2268))\/(sqrt(1200)\/sqrt(12)*-1))*6)**2.\nAnswer: 2592*sqrt(7)\/5 + 34912\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3, -4*n - 4*a + 8763 = 1271. Suppose -20552 + n = -22*v. Is 44 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 55 = -4*q, -7 = -q - 2*l + 3. Suppose 2*m = -2*j + q, -5*j = 2*m - 5*m - 8. Suppose t - 6*t = 0. Solve t = j*g + g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 + y**3 - 4*y + 5 - 2*y**4 - 6 + 3*y in the form z*y**4 + m + s*y**2 + q*y + r*y**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 45*t + 44*t - 1222 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -0.037518.\nAnswer: 0.0675324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17444*r**2 - 5885*r**2 - 5794*r**2 - 5866*r**2.\nAnswer: -101*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 8. Let y be (-1)\/((-6)\/(v - -1)). Let w = -0.925 - 0.075. What is the closest to w in -3\/5, 1, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 7811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/5003180 and 64\/13758745.\nAnswer: 55034980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 2\/3 (c) -6 (d) -2 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/((sqrt(81) - 2*sqrt(81))\/sqrt(9)))\/((sqrt(224) - (sqrt(224) - 1*sqrt(224) - sqrt(224)))\/sqrt(7)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/2 + 3057*v + 2214751\/2 = 0. Calculate v.\nAnswer: -343, 6457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 5 (b) 1 (c) 3 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3074162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1027022220 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 13*m**2 + 1477*m + 886. What is t(-113)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(9\/5)\/o*(o\/o**(1\/3)*o)\/o)\/(o**(-1\/10)\/o**(1\/6)) assuming o is positive.\nAnswer: o**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, s: 12, e: 1}. What is prob of sequence ey?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -345?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:27 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + d + 213 = 0, 0 = 3*a - d - d + 302. Let l = a - -83. Let x(q) = -6*q + 55. What is the units digit of x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppt when three letters picked without replacement from {p: 15, t: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/68 and 1\/20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 21*q = -5. Suppose 2*h = -5*y - 13 - 21, -h = 2. Sort q, y, 4.\nAnswer: y, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164481)\/(-2515))\/((-9)\/(-180)*-12)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 3*u**2 + 6*u + 5. Let g be d(5). Let n = -94 - -69. Let b = g - n. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 95*c**3 + 7*c**2 + 18*c - 21. Let s(n) = 95*n**3 + 6*n**2 + 16*n - 18. Calculate -6*f(a) + 7*s(a).\nAnswer: 95*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 14 - 12047*z - 326403*z + 31.\nAnswer: -338450*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*p - 52, 1 + 7 = 4*p. Let u(j) = -9*j - 4. Let a be u(-4). Suppose s + s = a. What is the smallest common multiple of x and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j + 8*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o + 78*o**3 + 1 + 17*o - 6*o. Let j(h) = -390*h**3 - h**2 + h - 6. Let w(r) = 2*j(r) + 11*q(r). What are the prime factors of w(1)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**3 + x**2 + 4*x - 3. What is the tens digit of r(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24890.971 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 5. Let a(u) = -u + 4. Let n(k) = -5*a(k) - 4*b(k). Suppose l = q - 1, 3*q = -0*q - 2*l + 13. Let m(h) = 6*h - 2*h - q*h. Give m(n(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -89524, -24, -0.4, -5?\nAnswer: -89524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 1) + 262488\/(-3). Let s = p - -48061. Let u = -26536 - s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxx when three letters picked without replacement from {y: 2, b: 3, l: 4, p: 4, x: 3, m: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3839 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -149, -232, -315, -398?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74550 divided by -32.\nAnswer: 37275\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -78*i + 7874. Give w(101).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**3 - x**2 - 134*x + 9. What is t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -17. Suppose 0*q = -o*q + 15. Solve -25 = -5*c - q*p, 2*c + 4*p + 0 = 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -11235\nAnswer: 4\/11235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1521, -1679, -1827, -1959, -2069?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + ((-72)\/(-8) - ((-76)\/4 - -9)) - 69?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b - 3, 21 = 2*a - b. Calculate the lowest common multiple of a and 3\/2*(-22)\/(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9657*k - 4952*k - 5699*k)*(k - 2 + 2) to v + t*k**2 + n*k and give t.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - -10.1. Let f = u - 11.00058. What is f rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = -2. Is (10 - 2\/t)*1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + -1 + ((4 + sqrt(720) + 0 + 4)*-1)**2).\nAnswer: -2355 - 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i + 7. Let c be l(-8). Let x = c - 23. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 59*o - 1.\nAnswer: 59*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 v when four letters picked without replacement from {a: 1, d: 2, u: 1, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122 and 16?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2280 and 181\/240.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1437*w + 1. Let z(j) = -307*j. What is z(y(x))?\nAnswer: 441159*x - 307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/(-484)*8\/5*(18\/(-8) + 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-27))\/(12\/9)*213. Find the third derivative of 38 - t + 15*o**6 + 35 - 9*o**2 wrt o.\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 83*b - 52. Let p(x) = -2*x**2. Calculate p(n(s)).\nAnswer: -13778*s**2 + 17264*s - 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108467516?\nAnswer: 2, 61, 444539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5073 and 402636?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 - 47*g - 5. Let f(l) = -29*l**2 + 196*l + 21. Determine 2*f(n) + 9*i(n).\nAnswer: 5*n**2 - 31*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3 + 0*t**2 - t + t**2 - 5*t. Let d(l) = -l**2 + 7*l - 4. Let y be (-12 - -12)\/(-3 - 1). Let p be (-14 - 1)\/(y + -3). Determine p*h(n) + 4*d(n).\nAnswer: n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.2 - 14. Let b = -2 - h. Suppose 0 = 2*l + 4, 3*i - 2*i - 3*l - 2 = 0. What is the nearest to b in 0.4, 4\/9, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, -0.5, 0.19, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 361?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518262?\nAnswer: 2, 3, 17, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 1. Let j = l + 6. Suppose 3*c - 38 = -j*i - 0*i, -i + 1 = 5*c. Calculate the remainder when 32 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 20*l = -5*l + 189 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:30 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*q = -q + 366, -5*w + 873 = -4*q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/8*r - 9\/8*r**2 - 1\/8*r**4 - 1\/4 - 5\/8*r**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5253385, -10506774, -15760163, -21013552?\nAnswer: -26266941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*l - 8 = 0, w + 4*l = -4 - 3. Suppose w*f - 6 = 3*f. Suppose 0 = z + 4 - 8, -f*z = 2*i - 28. Calculate the greatest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/(o*o*o**26)*o)\/o))\/o*o)\/o*o**(22\/7) assuming o is positive.\nAnswer: o**(204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0208639315 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240 + -5021?\nAnswer: -4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 78767\/4749 and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:50 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1492239*x**4 + 1178488*x**2 wrt x?\nAnswer: -35813736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 11*g - 15. Let t(h) = h**3 + 21*h**2 - 47*h - 17. Let q be t(-23). Determine i(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47901074 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 4*s - 2, 1461*u - 1465*u = -9*s + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Suppose -p*k = 2*f + f - 26, 4*k + f - 25 = 0. Let x be -2 - 2\/(-2) - -29. What is the highest common divisor of k and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**4\/5 - 44*m**3 - 338*m**2 + 2648*m + 31512\/5 = 0. What is m?\nAnswer: -101, -13, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*t**3 + 5 - 5 + 573*t**3.\nAnswer: 650*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/2496*(-23 - (-7596)\/324) and 62\/39.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304 + -516. Let r = f + 213. Solve -5*o + r = -19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995 = 135*r - 1577 - 228 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 266*(-22)\/(-55) + 2\/(-5). Let s = t - 99. Let c(b) = 2*b**3 + 3*b**2 - 1. Let i(y) = 3*y**3 + 4*y**2 - 1. Calculate s*c(g) - 5*i(g).\nAnswer: -g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -192, -189, -186?\n\"Answer: 3*w - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/6 and (-1360)\/(-756) + (-9)\/21?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 262720297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3*((3 + -2*sqrt(2) - (6*-1*sqrt(2) + sqrt(2))) + 5 + -3))**2 + -3)*-2.\nAnswer: -504*sqrt(2) - 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5921795 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - 9. Let m be v(10). Let y = -16 - m. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-200)\/12 - (-2)\/3. Let w be (-1)\/((-4)\/(1*-8)). Let l = w - t. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (201\/(-1742)*-8)\/(4\/(-26)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - 33. Let r(l) = -3*l**3 - 6*l**2 + 10*l + 61. Let d be r(-4). Let b = d + w. Calculate the remainder when 345 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 105 = 7*p - 4*p, 0 = 3*x - p - 161. What is the least common multiple of x and 910?\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 1692157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155254.\nAnswer: 2, 11, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 281*g + 671 + 172 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 29. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*c = 185 - 159, -3*t = -3*c + 30 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 + 91244*q - 8761472\/3.\nAnswer: 2*(q - 32)*(q + 136898)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 15\/11242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r - 59*r + 1588 = 2283 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3891 + 405 = -3*h - 7*o, -h + 1162 = -3*o. Calculate the remainder when h is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23613557 to the power of 1\/2, to the nearest integer?\nAnswer: 4859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-27) - 2\/(-9). Let k(v) = -2*v**2 - 3 + 5*v**2 - 4*v**2 + 4*v. Calculate k(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -821\/72 + 117\/8. Find the common denominator of -65\/9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8822402, -8822402, -8822400, -8822396, -8822390?\nAnswer: -8822382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28184 is divided by 28175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(68) + -1 + 4 + 1*(-2 + 0 + sqrt(68)))**2 + 3.\nAnswer: 16*sqrt(17) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 2\/((-5)\/315*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 48. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1420866 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let x(p) be the first derivative of 0*p**2 + 0*p**3 + 7\/12*p**4 - 8*p - 12. Let f(y) be the first derivative of x(y). Determine i(f(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - a4a0171?\nAnswer: -a4a0186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*p = 50*p + 2*k - 0*k + 18, 4*k = p - 30 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 856368003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4) - (0 + 5) - -3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5 - 22216*b**4 - 61470888*b**3 + 1240371584*b**2 + 5698426240*b + 5943954432 = 0 for b.\nAnswer: -5564, -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 492643673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3033*i - 130460. Determine l(43).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/(2\/(-156)). Let y = h - 18. What is the lowest common multiple of y and 0 + 16\/(3 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggaagaaggggaaggaaaa. Give prob of picking 2 a.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 = 13*x - 188 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t. Let n(s) = -6*s. Let d(i) = -3*k(i) + 4*n(i). Let h(y) = -y**2. Calculate h(d(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 209 (b) 0 (c) 3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 32 = 33*m. What is the second derivative of 3*h**5 + 4*h**5 + 2*h - m*h**5 - 80 - 6*h**3 - 12 - h**5 wrt h?\nAnswer: 40*h**3 - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/35 - (-2)\/10. Let o be (2 - 1)\/((-5)\/15). Let h be 77001 + (k - (4 + o)). What is h rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 164472\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*p + 2*p + 4, 2*p = 2. What is the third derivative of 6*h**3 + 2*h**2 - h**2 - h**d wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 81*m = -84*m + 11, -4*m = -5*i - 8. Let c(p) = p**3 + 3*p**2 - p + 10. Determine c(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2 - o**2 + 4*o + 4 + 6*o - 4*o. Let p(a) = -a**2 + 5*a + 5. Give -6*p(n) + 5*s(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/5 + 11\/20. Let f = -0.8 + 0.3. Suppose 2 = -5*o + 12. What is the nearest to 2\/9 in d, f, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -5 - (-30 - -69 - 59)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 64, 3*o - 10982 = -4*v - 10954 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 309 = -3*x, -3*x - 133 = -2*q + 176. Let m = -48 - x. Suppose -3*v = -m + 37. What is the least common multiple of v and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 9:07 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 11. Let p be d(14). Let v(x) = -x**3 + 4*x**2 - 2*x + 4. Determine v(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2*10\/8. Let l = 19 - 20.3. Let d = l + 1.2. Sort t, d, -0.3 in descending order.\nAnswer: d, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 + f**2 - 1. Suppose 4*y - 2*y + 10 = 0, v + y = -5. Suppose 5*h + 16 = h, -5*t - h + 1 = v. Let z be n(t). Let s(g) = g + 3. Calculate s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120846, 120936, 121034, 121140, 121254, 121376?\nAnswer: 121506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**3 - 9*p - 15*p - 5*p + 29*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 2 - 1\/2*u**4 + 15*u**2 + 0*u + 3*u**3 - 1\/60*u**5. Let v be r(-12). Solve 4*a + v = -2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*n - 5, -c + n = 3*c + 1. Solve c = -2*b + 2 - 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1053790, -1053847, -1053896, -1053937, -1053970?\n\"Answer: 4*g**2 - 69*g - 1053725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 252 = -3*d, 2*f + 987*d = 983*d + 252. Let s(a) = -a**3 - 5*a**2 - 6*a - 12. Let k be s(-5). What is the highest common factor of k and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7 + (-6)\/18)*(-15)\/(-218) and -81\/1090.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:47 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -257*b**2 + 121544*b + 1972143 with respect to b.\nAnswer: -514*b + 121544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*h**3\/7 + 1644*h**2 + 11517*h\/7 + 2880\/7 = 0. What is h?\nAnswer: -1\/2, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 5*t + 486. Let a be q(0). Let i = -213 + a. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251768083?\nAnswer: 7, 35966869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - n - n = 15, u + n = 3. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = k + 3*d, 0 = -3*k - k + 2*d - 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 6) to base 13.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 925 = 4*a - 880, a + 17*q - 80 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124 less than 170?\nAnswer: 169.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*x - 32. Let h(m) = m**3 + 29*m**2 - 3*m - 67. Calculate the remainder when h(-29) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35 and -16106029396?\nAnswer: 16106029361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 7*n - 2*n. Solve -h - 4*a + 18 = 0, 0*h - 5*a = 4*h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 9*j + 21. Let s be (-35)\/(-15)*-3 - -1. Let w be v(s). Solve w*n + 27 = -3*f, 3*f + 19 = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 + 24 = 0. What is a in -3*a**2 + 4*a**3 - 2*a**3 - 3*a - 5*a**3 + k*a = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4966791*q + 19794659.\nAnswer: -4966791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 294486894 divided by -21411?\nAnswer: -13754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36431581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*l + 45317, -4*l + 22231 - 97754 = -5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27 + 18*d**2 + 120 - 33*d - 26 - 17 - 3*d**3 - 32 = 0. Calculate d.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 18*b + 17. Let p be n(-17). List the prime factors of 8*(p\/(-3) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/20 - a**4\/2 + a. What is the third derivative of u(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-312)*-4)\/((-71)\/213).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16756535, -33512984, -50269433, -67025882, -83782331, -100538780?\n\"Answer: -16756449*h - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y + 77*y = -4*f - 32, -y + 2*f + 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/8 + 39*p**2\/4 + 1413*p\/8 - 27405\/4.\nAnswer: -(p - 87)*(p - 21)*(p + 30)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*sqrt(42)\/(sqrt(24)\/sqrt(4)) - (4 + 6*(sqrt(175) + sqrt(175)*-2 + sqrt(175)))**2.\nAnswer: -16 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Solve m = -y - 2*b, -3*y + b = -y - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -272*l**2*q**2 + 465*q**2 wrt l?\nAnswer: -544*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z + 0*z)*(-52 + 8*z + 10*z + 54)*(-1 + 4 + 2).\nAnswer: -90*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 233 + 26 = 0. Let y = 39 + j. Calculate the remainder when y + (57 - (3 - 4)) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146534549 and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, g: 13}. What is prob of picking 1 l and 3 g?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11279*m - 2 - 11309*m + 2)*(-22*m + 26*m - 11*m) to t*m + x + k*m**2 and give k.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 3*h**2 + 2*h + 1. Let s be v(-2). Let n(c) = 32*c**2 + 2*c**3 + 28*c**2 - 53*c**2 - 2*c**3 + c**3 - 1. Give n(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3632 and 2043.\nAnswer: 32688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000267141 rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004264329881 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*w - 3. Suppose -7 = -2*s - f + 2, 5*f - 25 = -5*s. Calculate the smallest common multiple of s and (-4)\/(1*w\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016\/2794*(-1)\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010001010111111100000 (base 2) to base 16.\nAnswer: 68afe0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 3. Determine b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u + 276. Let h(d) = 151*d. What is z(h(k))?\nAnswer: -1208*k + 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b + b + 7*b**2 + 11 + 5*b. Let d be q(6). Is 48455\/d + (-2)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20824*l = -3*s + 20821*l - 15, l = -4*s - 26 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -303*m**2*w**2 - 2*m*w**2 + 62*m wrt m?\nAnswer: -606*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4739\/(-180) + (-8)\/36. Let i = 119\/5 + q. Which is smaller: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116? (a) 1\/2 (b) 1 (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:04 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -30*b - 24*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 - (1 - 3 - -3). Let o(p) = p**2 + p. Let f(h) = 6*h**2 + 5*h. Let k(i) = j*o(i) + 2*f(i). Let y(n) = 2*n - 4*n**2 - 2*n. Calculate k(y(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/561 and 52\/420699?\nAnswer: 4627689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iju when three letters picked without replacement from uivivvjuvwuuiwiw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*w**3 - 645*w**3 - 93*w - 649*w**3 + 44*w - 650*w**3 + 49*w.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, b: 2}. Give prob of picking 3 z and 1 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*h - 16*h**3 - 66*h + 12*h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*h - 6, 5*h + 4*a - 3*a + 7 = 0. Let d be (11 + -8)\/(-1 + 3 - h). Is d less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 - 225*l + 232. Let d be a(-46). Solve d = -w - 2*i, 0 = 5*w - 2*i - 27 + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 divided by 4092.\nAnswer: 185\/4092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 2*d - 4*d)*(0 - 2 + 4) + d - 4*d + d - 7*d + 5*d - 21*d in the form h + f*d and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 175*v - 963. Give m(6).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614739.3 milliseconds to seconds.\nAnswer: 614.7393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 12*d**2. Let f(r) = r + 1651. Calculate f(c(q)).\nAnswer: 12*q**2 + 1651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22013103112 + -233?\nAnswer: 22013102213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.47 - 0.949. Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let x(c) = 125*c - 5731. Determine x(n(p)).\nAnswer: -125*p - 5731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m - 18*m - 6. Let v(a) = 7*a**3 - 32*a**2 + m - 6*a**3 + 35*a**2. Determine v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1249cc1 (base 14) to base 15\nAnswer: b8842a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-4 + 4 + v) + 21*v + 653 + 680 - 1367 to the form i*v + z and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 48*p - 8*p = 21*p. Let m(w) = -2*w**2 - w - 4. What is m(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1118153?\nAnswer: -9\/1118153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -6062?\nAnswer: -6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50386 divided by -1.\nAnswer: 50386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10) + (-13)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerssreerr. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 458416200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698116.4 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22*11\/(-1815)*-10)\/(4\/(-201))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.07, -0.0387, -0.31 in decreasing order.\nAnswer: 0.1, -0.0387, -0.07, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - -1 - (-2 + -117)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 321215860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 3*d**2 - 4*d + 2. Let w be j(2). Let x(k) = k**2 - k. Let t = -477 + 499. What is the remainder when t is divided by x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7284.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11a1 (base 11) to base 8\nAnswer: -3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001000000101101100000 + 0?\nAnswer: -1100001000000101101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(128))*-3 - (1 + (sqrt(128)*2 - sqrt(128))))**2.\nAnswer: 448*sqrt(2) + 2097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(7\/(-35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + c**2 + c - 1. Let i(x) = -117*x**3 - 4*x**2 - x + 4. Determine -4*h(s) - i(s).\nAnswer: 125*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.13021*-1292\nAnswer: 168.23132","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 0.007?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 24*k + 42. Let b be x(22). Find the common denominator of (-1365)\/189*((-4)\/6)\/b and -47\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 4 = -3*a + 83, -2*a - 3*c + 44 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b. Let x(z) = -2*z - 1. Calculate -2*p(f) + 10*x(f).\nAnswer: 4*f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + c + 4. Let i be y(0). Let k(j) = 4 + 3 + j - 6 + 1 - 1. Give k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5 (c) 13\/5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 197 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*m + 178, 4*m - 2*m - 106 = -3*i. Which is smaller: -2\/3 or i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18946 = -475*s + 31296 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 14358*f**4 - 34213852*f**3 - 26711969076*f**2 + 833628329694*f + 860306099274 = 0. Calculate f.\nAnswer: -2403, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 25\/(-1))*-4*(-110)\/(-264)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159515436?\nAnswer: 2, 3, 37, 277, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -40777621.5 - -94992\nAnswer: -40682629.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 30*k + 2509. Calculate q(-68).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37041, 37020, 36993, 36960, 36921, 36876?\nAnswer: 36825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 248502653 times -5\nAnswer: -1242513265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174\/42429311 or 0?\nAnswer: 174\/42429311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 5*x + x + 2*x - 5*x + 4*x + x - x - 2*x + (2*x + 0*x + 0*x)*(-5 + 1 + 3) - 2*x + 0 + 0)*(-3*x**2 - 2*x**2 + x**2).\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4527 + 36.5473. Put -1, -0.07, -0.04, -4, d in ascending order.\nAnswer: -4, -1, -0.07, -0.04, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(605) - 2*sqrt(605)) + -5 + 5).\nAnswer: 3 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 1 (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25692 * 0.1\nAnswer: 2569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -364.9 + 365. Sort x, 25, 0.4, -2\/3 in increasing order.\nAnswer: -2\/3, x, 0.4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 13*p. Let o be u(13). Suppose 4*w + 8 = 4*c - o*c, -c + 4 = -2*w. Let m(k) = -k - 8. Give m(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = -4*z, -l = z + 8 - 0. Let q(n) = -n**2 - 4*n - 1. Let i be q(z). Let t be (i\/(-5))\/((-6)\/5). Which is the nearest to 1? (a) -5 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3421.1617 + -3421. Let y = 0.177 - u. Round y to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 936 and 106938.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/12)\/((-11)\/(-198)). Let p be ((-10)\/m)\/(4 + 182\/(-42)). Which is the nearest to 1? (a) p (b) -22 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) -3 (c) 7 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let z(a) = -46 - 73 + 20 - a + 11. Determine n(z(b)).\nAnswer: 2*b**2 + 352*b + 15488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z. Let u(c) be the first derivative of c**2\/2 + 4*c + 1. Let j be u(z). Solve j = -b + 7, 3*i - 21 = -2*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 4, 2, -3, -59.\nAnswer: -59, -21, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 272, 583, 1008, 1541, 2176, 2907, 3728?\n\"Answer: -x**3 + 66*x**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {h: 2, x: 1, u: 2, b: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uru when three letters picked without replacement from uruu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3640*k*r**3 + 9492*k*r**2 - 730*r**3 - 4*r**2 + 82*r + 54 wrt k.\nAnswer: -3640*r**3 + 9492*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -549 (base 10) in base 7?\nAnswer: -1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 - 2*a - 11. Let w be k(5). Find d such that -4 + w + 4*d - 24*d**4 - 6*d**2 + 26*d**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*x + 4*l, -2*x - l - 22 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 277 - 586 + s - 83*s**3 + 310. Determine q(-1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15870*g**4 + 2*g + 5136 wrt g.\nAnswer: -190440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*p + 140, 4*p = -0*s + s - 41. Suppose -r = 4*r - s. Let y = 60 - r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*f = -312, -2*g - 2*f + f + 612 = 0. Suppose -20*o = -12*o - g. What is the greatest common factor of o and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 125, 311, 535, 773, 1001?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*j - 9 = 2*j, 6 = 25*i - 27*i - 42*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 5*n. Let b be (2 + (-36)\/3)\/(-2). Suppose 15 = -3*u + 3*q, -6*q - 7 = -43. Solve 0 = -2*r - u + b, 5*x - n = -r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 111.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.166 + -643.\nAnswer: -564.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 19 = -b, -4*b + 9*f - 14*f + 61 = 0. Let t(x) = 9*x**2 - 66*x + 6. What is the tens digit of t(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*k**2 - 3*k**4 + 1 - 43*k**2 + 0*k**4 - 4*k**3 + k**4 in the form t*k**3 + p*k + v + l*k**2 + r*k**4 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1276 or -1288?\nAnswer: -1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 4)*(-10*w**2 + 455*w - 455*w + 4*w**2 + 5 - 5 + (-2*w - 1 + 1)*(-2*w - 2*w + 5*w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 - 2. Let h = -1.234 - -1.634. Put p, h, 5 in descending order.\nAnswer: 5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-246)\/50*(-20)\/24?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u - 15. Let v be b(-6). Let f = v + -6. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2630024 is divided by 1077.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 2200451245?\nAnswer: 2200451254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 + 50*d**2 - 168*d + 72 = 0. What is d?\nAnswer: 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*h**4 + 3*c**2 - 359*c*h**4 - 4*c*h**3 + 2*c*h**2 + 2*c*h wrt h.\nAnswer: -48*c**2*h - 8616*c*h - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**4\/9 - 278*l**3\/9 - 3314*l**2\/9 + 1868*l\/9 + 192 = 0.\nAnswer: -54, -16, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -302 (base 13) in base 2?\nAnswer: -111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from jcfjjjjqcqffcqfjf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4 + 198*y**3 + 209772*y**2 + 2906330*y + 10135797 = 0. What is y?\nAnswer: -361, -7, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*l + 13. What is the units digit of (l\/(-16))\/((-1)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 7. Let o be w(-2). Suppose 0 = -l - f + 631, -o*l = -l - f - 1274. List the prime factors of l.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 190, 449, 722, 1009, 1310, 1625?\n\"Answer: 7*c**2 + 238*c - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**4\/6 - 4*g**3\/3 - 4*g**2 - 82*g. Let u be x(-2). Sort 2, u, 4 in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78, 74, 68, 60, 50?\n\"Answer: -v**2 - v + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - h - 18 = -6*h, 4*c + 6 = -h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -0.2. Let r = g + -4. Let f = -2.6 - r. Which is the third biggest value? (a) 3\/7 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 2 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162754558?\nAnswer: 2, 7, 23, 223, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = o + 1, -4*h + 6*o - 10*o = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -2105022\nAnswer: -1\/350837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 14 = 7. Let k be (g\/28)\/((-3)\/12). Let z be (-1)\/(-1 + 4\/6). Solve -z = y - k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0511198 rounded to 2 dps?\nAnswer: -3.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 411929*s - 411929*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699298 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 2, w: 10}. Give prob of picking 1 u, 1 q, and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17633636 a multiple of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/13 + 169370*c**3\/13 - 4781258622*c**2\/13 + 44999610590862*c\/13 - 179921953064664\/13 = 0. Calculate c.\nAnswer: 4, 28227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.09599 weeks to nanoseconds.\nAnswer: 2477254752000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3917349 less than -0.19907?\nAnswer: 3917348.80093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 155\/106 + 2\/53. Let w = -20 - -18. Which is the third biggest value? (a) 0.5 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -28481113\nAnswer: 43\/28481113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:58 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 49*w**2 - 88*w + 533. Is q(-48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13797*j - 3039. Let y(i) = 863*i + 190. Let b(k) = -2*h(k) - 33*y(k). Differentiate b(n) wrt n.\nAnswer: -885","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 42\/47, 5\/3, -1, -0.5, 20, -3\/5, -0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85291 and -1714.\nAnswer: 146188774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2282 and -66.72.\nAnswer: -152255.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 304 - 216. Let f = 95 - h. Solve -6 - 15 = -f*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7*f - 8 = 4*f, 4*b = f - 10. Let n be (4\/(-6))\/(b\/87). Suppose 26 + n = g. What is the remainder when g is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 34755*s**2 - 764602*s - 177. What is v(22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.4, -2\/59, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1258\/55, 11, 3, 5\/21?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 6. Let t be k(-4). What is the highest common divisor of t and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Suppose -y - 7 = -t, -s*y = 4*t - 0*t - 52. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*w + 85*w - 166*w + 38 + w**2.\nAnswer: w**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5339, 17, 6, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2479684222 to the nearest integer?\nAnswer: 49796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -1\/210*i**7 + 0*i + 0*i**6 + 0*i**4 + 0*i**3 + 3*i**2 + 0 + 1\/30*i**5. Find the third derivative of f(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q*(q**3\/q)\/q*(q**(2\/3)\/q)**35)**35 assuming q is positive.\nAnswer: q**(-1855\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 266, -1.\nAnswer: -10, -1, 5, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**3 + 5*k**2. Let v(g) = -7*g**3 - 6*g**2 + 1. Let m(d) = -6*i(d) - 5*v(d). Calculate m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7989*u**5 - 6595*u**2 wrt u.\nAnswer: -479340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-seven quarters of a meter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13862*d + 6046*d - 65890 = 33650 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2) - (-70)\/140?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rblbiigbb. Give prob of sequence rbl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -31. Suppose 5*d = -5*w + 15, -5*w + 29 + c = -2*d. Let a = w - -13. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.166 - -2.96. Let d = x + -200.294. Round d to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(((-5)\/(-150))\/1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1918 + 1920. Solve 6 = k*b + c, 4*c - 9*c = -b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 21*g + 11. Let q(k) = 4*k**2 + 43*k + 23. Let t(j) = -4*q(j) + 9*w(j). Let f be t(-8). Is f bigger than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.847 + -1.961. Let j = -0.114 - d. Sort -2, 6, j in decreasing order.\nAnswer: 6, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/7 in 0.3, -1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*c = -466, -4*c = -4*j - 213 + 829. Round j to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44753.00044138 - -44753. What is d rounded to 6 decimal places?\nAnswer: -0.000441","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 + 15*z**2 - 43 + 4*z**2 - 2*z**2 - z**2 + (z - z - 2*z)*(-z - 1 + 1) - 43 + 43 - 2*z**2.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.447 to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Suppose 3*m - 5*h = -3, 3*h - 1 - 1 = 2*m. Let z be m\/(-6) + 1\/2. Put 0.4, z, n in descending order.\nAnswer: z, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 353? (a) 0.4 (b) 1 (c) -0.4 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/2 (b) 4 (c) 0.04 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/110 - i**4\/66 - 4*i**3\/33 + 4*i**2\/11 - 2603*i. Let j(s) = 0. What is s?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20639955 and 151065?\nAnswer: 557278785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -422 + 603. Let s = 357 - i. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 464*o**2 + 209*o - 96981. Determine i(464).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353550, 707185, 1060954, 1414923, 1769158, 2123725?\nAnswer: 2478690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.106 and 5.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15*l = 12*l + 29, g - 3*l - 37 = 0. Suppose -5*r + 295 - 100 = 0. Suppose -2*m + r = m. Calculate the remainder when g is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.7, 4\/5, 4, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 - d**5\/15 + 11*d**4\/24 + d**3\/6 + 15*d**2. Let s be c(3). Let t = s + 10. Is t bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(1272*z - 2737*z - 953*z) + (0 + 2 - 3)*(z - 3*z + 0*z) to the form y*z + b and give y.\nAnswer: 2420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 313721004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1, 1\/27 in increasing order.\nAnswer: -0.05, 1\/27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/60 + 346*y**3\/5 + 538722*y**2\/5 - 2492*y. Factor k(q).\nAnswer: (q + 1038)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 8. Let t(d) = -102*d**2 - d - 1587. Give t(c(f)).\nAnswer: -918*f**2 - 4893*f - 8107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9364*f**2. Let q(v) = 2*v**2. What is t(q(p))?\nAnswer: 37456*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46*12\/(-18))\/(4\/(-6)). Suppose 27*u - i = 26*u - 2*y, 172 = 4*u + 4*y. Solve -5*z - 4*s = u, 0*z - z = 4*s + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -323, -647, -971, -1295?\n\"Answer: -324*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 0*f - 5*z = -54, -2015*z = -f - 2017*z + 9 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13245, 13241, 13237?\nAnswer: 13233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2342380*d**4 - 1020592*d**2?\nAnswer: -56217120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 1:34 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -2 + -3 + 46. Let r = -30 + k. What is the least common multiple of 8 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-7)*(0 + 7). Let n = -4 - q. What is the first derivative of 5 - 5 - 2*m + n wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1)*h)\/(h**(-6)*h*h*h))**(-3\/13)*h**(3\/4)\/(h\/h**1)*h**(-3)\/h**5 assuming h is positive.\nAnswer: h**(-449\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 9*a**2 - 8*a + 9. Let r(s) = s**2 + 3*s - 26. Let k be r(-6). Is h(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -19. Let l(x) = -28*x - 946. Let h be l(-34). Solve -5*a + m - 23 = 2*m, -2*a = r*m + h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 + c**3 + 226*c**3 + 2451 - 2451 + (-3*c**2 + 0*c + 0*c)*(-6*c + 2*c + 3*c) - c**3 + 0*c**3 + 2*c**3.\nAnswer: 231*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -71146099 > -71146100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/11 + 190*d**3 + 44862*d**2\/11 - 8726*d + 49036\/11 = 0.\nAnswer: -23, 1, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5 + 0 + 0 + 6*v**2. Let g(k) = 7 - 1 + 3238*k**2 - 3245*k**2. Determine -5*g(l) - 6*s(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(128) - (sqrt(120)\/sqrt(6))\/sqrt(10)).\nAnswer: -9*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 - 7.73557779568.\nAnswer: 23.26442220432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.8538 rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78961*k**2\/4 - 57605*k\/2 + 42025\/4.\nAnswer: (281*k - 205)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229015000.\nAnswer: 2, 5, 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 25. What is b(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1 (c) 4 (d) -1\/4 (e) -0.115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/22*-1*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -26, 5, -8, 0 in descending order.\nAnswer: 5, 3, 0, -2, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1587\/2 + 122191\/154. Put l, 1, -3 in ascending order.\nAnswer: -3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 3*k**4\/8 - 5*k**3\/2 - 26*k**2. Let x(m) = -m. Let i(v) = q(v) + 4*x(v). Differentiate i(o) with respect to o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jho when three letters picked without replacement from {o: 1, j: 1, h: 2, i: 1, f: 1, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -288 + 3742\/13. What is the nearest to 0 in q, -3, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + -10 + (10 - (6 + -13))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3738)\/(-183078)) - -49.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -1990\/183?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 4. Suppose -2*n + 5 = -3. Let u(d) = d + 5. Let v(g) = n*u(g) + 5*k(g). What is v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 1 + 16*k - 15*k - k**2 - 1 + 3*k**4 as z*k**3 + v*k + p + c*k**2 + m*k**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -50*b + 2. Suppose -p = 2*p + 2*y - 8, 18 = 3*p - 3*y. Suppose -m + 3*u = 21, -5*u = -p*m - m - 55. Is j(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4212031200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/h**(-9)*h*h**(2\/11))\/(((h\/(h*h**(-8\/3)))\/h)\/h**(-3\/2)) assuming h is positive.\nAnswer: h**(727\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20379 (base 10) to base 15.\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -57596, -1, 0.06, -5, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36612575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = 8. Let h(a) be the first derivative of -2 + a**2 + 2*a - 6*a**f + 4*a**2. What is the first derivative of h(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-12)*(-4)\/(-70). Put t, 1, -1\/4 in decreasing order.\nAnswer: 1, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j - 180. Let m be 62\/(-93) + ((-28)\/(-6))\/1. Suppose -m*y - y = -j. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -59. Let r be -7 + 5 + 0 - (2 - 17). Calculate the highest common divisor of r and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12441\/(-220))\/29 + (0 - 7) - -9\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7*j = -2*j - 125, j + 199 = 5*i. Suppose r + r - i = 0. Suppose 437*t - 1179 = 1544 + 2521. Calculate the lowest common multiple of t and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*c + 3*b, -3*c - 3 = -2*c + 2*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 8*w**2 - 7*w - 14. Determine v(-7).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21002311201 (base 4) to base 14.\nAnswer: 45a06d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/3*m**2 - 112\/3*m**4 - 2\/3*m**5 + 424\/3*m - 106*m**3 + 0 = 0. Calculate m.\nAnswer: -53, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p + 214. Give g(22).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 473 + -315. Find the common denominator of (2\/56)\/(1\/(-218)) - -1 and v\/(-4) - (-2 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - -3. Suppose -20*n = -21*n + u. Calculate the remainder when 69 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4085 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*b + 3*b - 28 = 0, 0 = 2*z + 5*b + 10. Let t = -6 - z. Solve 2*x = -3*x + o - 17, t*x + 25 = -3*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x - 32. Suppose -13 - 65 = -6*v. List the prime factors of l(v).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 265, 479, 793, 1225, 1793?\n\"Answer: 3*u**3 + 32*u**2 + 97*u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-10))\/c*c)\/(c\/c**9*c))\/(c**18*c**(-1)\/c) assuming c is positive.\nAnswer: c**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794248.\nAnswer: 2, 7, 13, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - x - 8826*x**3 + 8820*x**3 + x.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 9.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/11 - 2917866*t**2\/11 + 8753612*t\/11 - 5835744\/11 = 0. Calculate t.\nAnswer: -1458936, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/1*104\/(-128)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/224 and 43\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 5. Let w = -8 + 5. Let x = w + 6. Let j(h) = 11*h + 11. Calculate x*j(c) + 7*a(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + m**2 - 4*m**2 + (0*m + 4*m - 2*m)*(-4*m + 3*m + 0*m) + 0*m**2 - m**2 - 2*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3)\/b)\/b**6*(b**0*b*b)**(-21))**13)**(-4\/9) assuming b is positive.\nAnswer: b**(2704\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -25, -2*w + w + 5*t - 21 = 0. Suppose -w*h + 2 = 2*o - 2, -2*o - 3*h = -4. Let l = -4411 + 4406. What is the nearest to o in 3\/8, 0.2, l?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 9*a. Let u(h) = h**3 + 4*h. Let r(q) = -13*q - 4. Let l be r(2). Let s = 34 + l. Calculate s*c(p) + 9*u(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 11 - 4 = 0, 2*z = -2*r - 2. Suppose 5*k + r*a - 23 = 0, -6 + 5 = k - a. Solve -12 = k*g - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471974 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 311056*v. Let l(p) = -2*p. What is l(m(w))?\nAnswer: 2*w**2 + 622112*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -15 + l + 16 - 3*l - 4*l. Let p be b(0). Put -7, p, -5, -2 in descending order.\nAnswer: p, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.55 + -0.05. What is the nearest to 0 in 2, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.224 + -0.424. Which is the nearest to -0.1? (a) q (b) -4\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r = n + 62, 0 = 2*r + 5*n - 64. 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: What is the cube root of 11619757 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 w, and 1 n when four letters picked without replacement from ggqenwgngjgjw.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-16\/5)*c*c\/((c\/c**5)\/c)*c assuming c is positive.\nAnswer: c**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 53. Let i be g(-11). What are the prime factors of (i - 23)*596\/(-6)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*h - 50*h - 25 + 36.\nAnswer: 73*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 93538\/(-26180) - 4\/14. Let v = 3\/595 - r. Find the common denominator of (-87)\/(-35)*(-10)\/(-4) and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 2*h**2 - 3*h + 10. Let p be g(3). Suppose -p*m + 142 = -48. What is the remainder when 37 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -107. Suppose -5*j + 18 = -2. Suppose -j*u + 0*u = y. Solve u = -3*c + 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200) - (sqrt(3200) + 4*sqrt(3200)))*-2*-3)\/(sqrt(30)\/sqrt(3)*-1 + (sqrt(10) - 5*sqrt(360))).\nAnswer: 32*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + j - 2*j + j - 2*j + 2*j + j - 4*j + 3*j - 4*j - j + (-j + 2 - 2)*(-2 + 0 + 1) - 3*j - 2*j + 3*j - 3*j - 4 + 4)*(j + j**4 - j).\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3211 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:40 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100 + 96. Let o = 104 - 100. Sort -3, 0.2, o, b in decreasing order.\nAnswer: o, 0.2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*o - 24 - 7 = 0, -191 = -5*a + 3*o. Suppose b + 4*b = a. Calculate the smallest common multiple of b and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9861)\/(-893) - 2\/47?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/13 - 40*(-8)\/(-52). Let q be y*(8\/(-15) - 25\/(-125)). Solve 3 = -q*d - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*x - 8 = 4*x, -5*x = 4*n + 13. Let l(q) = -2*q + 18. Let o be l(n). Suppose -2*y + 96 = o. Calculate the remainder when 122 is divided by y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**2 + 645*k. Let r(a) be the first derivative of a**3\/3 + 46*a**2 - 195. Let b(t) = 15*r(t) - 2*s(t). Factor b(o).\nAnswer: -3*o*(o - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 + 21. Calculate z(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjv when three letters picked without replacement from {y: 11, j: 1, v: 3}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0874195 millilitres to litres.\nAnswer: 0.0000874195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 2)*(-3 + 2 + 0) - 1 + 3 + 4)*(-240*s + 541*s + 375*s) to t + d*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1 (c) 27 (d) -2 (e) 608\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 14 = 19*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**4\/4 + 5*x**3\/3 + 2*x**2 + 5*x + 7. Determine i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (260\/(-78))\/(4\/(-2382)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o - 32*o - 17 + 42*o. Let n be c(17). Solve n = -b + 6 - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 846*b = 850*b - 2664. Calculate the greatest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -477a (base 16) to base 2.\nAnswer: -100011101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4524242824.\nAnswer: 2, 565530353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 9*a**2 - 8*a - 4. What are the prime factors of s(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:03 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12905?\nAnswer: 5, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13678 = 148*r + 1246. What is the lowest common multiple of 546 and r?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2033346.6 months?\nAnswer: 169445.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -67. Let x(l) = 2*l**o - 3*l**2 + 63*l - 25 - 49*l. Let g be x(10). Calculate the highest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 155100.55 to the nearest 100.\nAnswer: 155100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*4\/2 + 0. Suppose 0 = 2*j + j - q. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9096226.\nAnswer: 2, 467, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1056517*o + 15847751. Determine q(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t**3 - 35*t**3 + 3*t**3 + (2*t - 3*t - t)*(0 + 0 + 2*t**2) - 3*t**3 - t**3 - 3*t**3.\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 - 281*v + 281*v + 2*v**4 + 182*v**2 - 137*v**6 wrt v.\nAnswer: -16440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*w**4 + 271*w**4 - 663*w**4 + (-w**4 + w**4 - 2*w**4)*(-1 - 1 + 0).\nAnswer: -353*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12787 + 12786.96. Put 69, l, 4, -5 in ascending order.\nAnswer: -5, l, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.25, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3263 - -9808\/3. Let s(t) be the first derivative of 13\/4*t**4 + 11\/2*t**2 + 2*t + k*t**3 + 3\/5*t**5 + 9. Factor s(i).\nAnswer: (i + 1)**2*(i + 2)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10233*v - 2971 + 606 + 734 - 1158 - 3938 wrt v.\nAnswer: -10233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 1682*p**4\/3 - 2030*p**3 - 13799*p**2\/6 + 6533*p - 8836\/3 = 0.\nAnswer: -2, 47\/58, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 2*j - 1. Suppose -3*r + 0 - 3 = 0. Let q be n(r). Suppose q*s = 5*s + 20. Sort 2\/5, -3, s.\nAnswer: s, -3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1225*t**3 - 7706335*t**2 - 880736*t - 25164.\nAnswer: (t - 6291)*(35*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:07 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 562313.7 months in millennia?\nAnswer: 46.859475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4101907, 8203798, 12305685, 16407568, 20509447, 24611322, 28713193?\n\"Answer: -2*v**2 + 4101897*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**3 - 1381*y**2 - 316*y + 9733. Give d(-345).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((7\/(-28))\/((-5)\/(-45)))\/(15\/(-16)). Sort 1\/7, -8, w in descending order.\nAnswer: w, 1\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/31)*(d\/(d\/(d\/d**(-23\/2))))\/d)\/(d**6*d*d\/d**(-33)) assuming d is positive.\nAnswer: d**(-1827\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c + 107. Let d be s(-19). Suppose -25*z + 175110000 = -d*z. Round z to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -17 in decreasing order.\nAnswer: 1, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p + 74*p - 25 = -2*c, c + 7 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-25))\/(16\/8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*c**2 + 820*c**2 + 37*c**2.\nAnswer: 768*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10450 + 2121. List the prime factors of a.\nAnswer: 13, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -3. Solve 3*u = -s, 2*k = k + 2*u + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277 + -277. Let -1\/4*i**4 - 1\/4*i**5 - 1\/2*i + j + 3\/4*i**3 + 1\/4*i**2 = 0. Calculate i.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6171 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2149 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 8*a**2 - 8*a + 24. What is l(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(714\/180) + 16\/56. What is the nearest to 2\/9 in 0.4, 2\/7, 4, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9702 and 1415106?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -343284 + 343283.99100045. Let a = 0.009 + j. What is a rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918765.\nAnswer: 5, 383753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**3 + 37*r**2 + 6*r - 37. Let p(s) = 18*s**2 - 18 + 369*s**3 - 375*s**3 - s + 4*s. Let w(z) = -3*o(z) + 7*p(z). Solve w(c) = 0 for c.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 42. Differentiate -q + 25 - 10 - 8*g**3 with respect to g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4 = i, 8*n = 13*n + 4*i + 16. Which is the closest to 0? (a) -1 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 396*v**3 + 21*v**2 + 397*v**3 + 0*v as j*v**3 + x*v**2 + h + i*v and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2088 + -2086. Let c(d) = -4*d**3 + 7*d**2 - 7*d - 7. Let y(a) = 5*a**3 - 2*a**2 + 2*a - 4*a**3 + 2 + 0*a**2. Give m*c(p) + 7*y(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/8*-1*4\/(-12). What is the fourth smallest value in -1\/3, n, 0, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 610\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 318, 487, 678, 903, 1174, 1503, 1902, 2383?\n\"Answer: 2*d**3 - d**2 + 158*d + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -31 (b) 2.83 (c) -17 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -29. Suppose 3*b - 2*w = 23, -5*b - 4*w = -2*b - 35. Solve -2*o - t = y, 0*o = y + o + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -459477*c + 817855 wrt c.\nAnswer: -459477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(1 + (-4)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23443 is divided by 1808.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 28 = -3*c, -b = -3*c - 55437. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 6194728?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0994*1.\nAnswer: 0.0994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 770 = -20*p - 98*p - 4218 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**2 - 31*q + 20*q + 318*q**2.\nAnswer: 290*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 43934.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -181, -291, -475, -733, -1065?\n\"Answer: -37*s**2 + s - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/1006? (a) -2\/7 (b) 2 (c) -2 (d) 2\/13 (e) 4\/7 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 10*y = -8*y - 5874, -4*y - 7375 = -5*d. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006511748 rounded to 7 decimal places?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 192 = -5*b. Suppose 0 = 2*q + 40 - b. Calculate the smallest common multiple of q and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 19*x + 1. Determine y(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31300 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2556299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 8*t**2 + 9*t - 3. Let u be v(7). Let w(f) = 105 + 3*f - 104 - 2*f. Let p be w(u). What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*r**3 - 182*r**3 + 46*r**3 + 46*r**3 - 4 + 46*r**3.\nAnswer: 18*r**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 15 + 15. Suppose o*c = 3*c. Solve -5*l - 15 = -c*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-738)\/(-48) + (-18)\/96*2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 2132598*u - 115169040.\nAnswer: 3*(u - 710920)*(u + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/7 + 2419*m**4\/7 + 210339*m**3\/7 - 217591*m**2\/7 - 425510*m\/7 = 0. Calculate m.\nAnswer: -85, -1, 0, 2, 2503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 415, -4, 1.\nAnswer: -4, 1, 3, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 13*t + 0*t**2 - 3 - 14*t + 2. Let o(i) = -21*i**2 + 6*i + 6. Let k(v) = 6*n(v) + o(v). Let x(j) = -4*j**2. Calculate k(x(f)).\nAnswer: -240*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/5 - 1706*c**2\/5 + 13220*c + 42720 = 0.\nAnswer: -890, -3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 - 412*p**4 + 56237*p**3\/3 - 35428*p**2 - 56236*p\/3 + 35840 = 0. What is p?\nAnswer: -1280, -1, 1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -19288148800 to the nearest one million.\nAnswer: -19288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 309*x**6\/10 - 6149*x**4\/12 + 7603*x. What is the third derivative of v(p) wrt p?\nAnswer: 22248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Suppose 2*z - 3*r = -26, 38 = -3*z - 45*r + 49*r. Let g(m) = 14*m**2. What is z*h(t) + 2*g(t)?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-102)\/36)\/(20\/120))\/1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764904719.\nAnswer: 853, 896723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 + 79913*q**3 - 22*q**2 + 38315982*q.\nAnswer: -20*q**3 + 479478*q - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-16)*8\/(-2). Solve l - b*l = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324 + 242. Let h = 21 - x. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55978*0.1.\nAnswer: 5597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1579157235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d - 44*d + 2307060 = 316*d. Is d a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*((-180)\/(-6))\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2062.165864 + 1776.16619. Let p = l - -286. Round p to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 456 and 90?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1652 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from lmdzqkz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 2, c: 7, j: 2, d: 2, i: 1}. Give prob of picking 1 j, 1 c, and 1 m.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (38\/(-95))\/((-12)\/(-255))*12. Let k be (14 - 117)\/(1 + 0). Are p and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -640.6 + 640.70564. What is q rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*n**2*o*y - 2*n**2*o - n**2*y**2 - n**2 - 9388*n*o*y**3 - 4*n*y - 2*o*y**3 wrt y.\nAnswer: -2*n**2 - 56328*n*o*y - 12*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 92, 192, 318, 482, 696, 972, 1322?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21844933 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23110.73 - 23111. Let i = -323\/14 + 23. Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12701149 by -2.\nAnswer: 12701149\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17*b + 595. Calculate k(34).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*k**2)*(-1 + 3 - 3) + 6*k**2 + 0*k + 0*k + 9 + 7 + 192*k**2 - 16.\nAnswer: 196*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 319 - 321. What is the fourth biggest value in v, 3, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/9)\/(14\/1218*29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5 + -2*(3 + sqrt(2057) + 1 + 5 + (6*(1 + sqrt(2057)) - sqrt(2057) - sqrt(2057))))*3)**2.\nAnswer: 69300*sqrt(17) + 1862324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20 - 0)*((-20)\/16 - -1). Let o(r) = -53*r**2 - 3*r + 55*r**2 - r. Let b be o(3). Solve f*u + 40 = 5*n, -11 = 4*u + b*n - 3*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.89429 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -221, -10, -2 in decreasing order.\nAnswer: -2, -7, -10, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/144 and 45\/3068.\nAnswer: 110448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3986 = 9942*l - 9773*l + 19365 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(-8)\/(-8))\/(1\/(-11)). Let s be (17 + -41)*k\/(-2). Calculate the greatest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 24, 3, 20.5 in decreasing order.\nAnswer: 24, 20.5, 3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 3*y - 3. Let k(a) be the second derivative of -1\/12*a**4 + 0 + 1\/6*a**3 + 1\/20*a**5 - 1\/2*a**2 - 26*a. Give -3*k(n) + p(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen quarters of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**13*c))\/((c**12*c)\/c)*c**(-12)\/((c**11*c)\/c) assuming c is positive.\nAnswer: c**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 104\/24)*(0 - 6). Let n be (-6)\/4*5\/((-5)\/j). What is the units digit of (-2 - n) + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*c - 20 = -u, 0 = u - 3*c - 32. Solve -6*w + u = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/200945 + 3858173\/5827405. Let a = k - -4\/29. What is g in a*g**2 - g - 1\/5*g**3 + 2\/5 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -11.7?\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d**4 + 30*d**4 - 14*d**4)*(-60 + 13 + 12).\nAnswer: -140*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w - 6 = -42*w. Let i(q) = -q**3 + 7*q**2 - 5*q - 1. What is the lowest common multiple of 7 and i(w)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242\/65 + 4637\/390. What is the common denominator of 101\/1044 and p?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*s - 12, -3*l - s = 583 - 593 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 533 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293000 rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 + 87*b**3 - 36*b**2 - 996*b + 1392.\nAnswer: 3*(b - 2)**2*(b + 4)*(b + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 97 = 2*v, 2*v - 5*v - 208 = -2*m. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.04, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 75 = 5*d + 7*l, -628*d - 43 = -632*d - l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 2354 - 2354 + 23*q**3 + q**4 - 3*q in the form p + b*q**2 + k*q + i*q**4 + v*q**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a2 - 2d?\nAnswer: -1cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 2493 - 2498 + 5*o. Calculate p(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8044999 or 8045000?\nAnswer: 8044999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 941.68?\nAnswer: -943.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -3. Let i(x) = -25*x**3 - 1. Let p be i(b). Let y = 11 - p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 394*v + 1232. What is the tens digit of c(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 5*c**2 - 56*c + 56*c.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -2*q + 30, -113*h + 6 = -114*h + 3*q for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 7*d + 174 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o + 3*h = -29*o + 21, h + 0*h = -5*o - 22 + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 20*x = -238 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.7 - -10.3. Let z = -91 + 90.5. Let x = -7.15 - -0.15. Which is the third smallest value? (a) z (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111585014\/7 or 15940715?\nAnswer: 111585014\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1272574*v + 475. Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 152 = 400. Suppose 5*p + 435 = -0*p. Let l = p - g. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 59983.\nAnswer: 299915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209160 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1262, -2.22, 17, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1020 + 1416. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*o + 19 = 0, 2*a + 4*o + 0*o - 8 = 0. Let b be (-4)\/14 + a\/(-7). Let h(v) = v**3 + 11. What are the prime factors of h(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/7 + 10*l**4\/7 - 18*l**3\/7 - 34*l**2\/7 + 16*l\/7 + 24\/7 = 0?\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*o**3*y + 901*o**3 + 2*o**2*y - 2*o**2 + 895*o*y wrt o?\nAnswer: -96*y + 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -145. Calculate the remainder when 263 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 0)*(45 + 7 + 11)*(-2*b - 2*b + 5*b)*(0 + 2 - 1).\nAnswer: -252*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 240 - 656. Suppose -5*g - z - p = 0, -5*g + 3*z - 7*z - 236 = 0. Calculate the least common multiple of 4 and 33\/g*16\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 + c - c + (3*c**2 - c**2 - 4*c**2)*(-2*c**2 + 0 + 0) + 2*c**4 + 0*c + 0*c + 5736*c**4 - 5738*c**4 - 714*c - 96*c**3 + 96*c**3.\nAnswer: 8*c**4 - 714*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one quarters of a year?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, -2, -17514, 5 in increasing order.\nAnswer: -17514, -190, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/144857, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16.4 * -440362\nAnswer: 7221936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47993206?\nAnswer: 2, 41, 585283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -609*y**5 + 5*y**4 - 539*y + 1.\nAnswer: -12180*y**3 + 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-19))\/k**(8\/9))\/(k**(1\/17)\/k)**(-40) assuming k is positive.\nAnswer: k**(-2836\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 0, 1\/3, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dep when three letters picked without replacement from {p: 3, e: 1, q: 2, d: 1, v: 1, c: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*t**3 - 187*t**3 + 603*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -159689.\nAnswer: -159689.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 101512*n + 811840.\nAnswer: 4*(n + 8)*(n + 25370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-27) + 4\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25066 + 25069. Which is the fourth smallest value? (a) -3 (b) 1 (c) -1\/4 (d) -19\/4 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*t - 13 = 7*t, -t - 5 = 0. Suppose -o*a + 27 = -a. Let k be (-36)\/(-4 - 0) - 0. Is k at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*g - 5*r + 3*r, 3*g + 3*r = -12. Put 1, 5, -1\/3, g in descending order.\nAnswer: 5, 1, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {t: 11, f: 1, e: 1, i: 1, l: 4}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -9. Solve -27 = -3*x - 5*u, -x + 3*u + j = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8517, -17011, -25505, -33999, -42493, -50987?\n\"Answer: -8494*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637 = -366*m - 69*m - 11978 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54302315 (base 6) to base 3.\nAnswer: 10000210202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85904 and 2832.\nAnswer: 257712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2811899 by 271.\nAnswer: -2811899\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34037\/3108 - 9\/259. What is the common denominator of 13\/18 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*a**2*c - 246*a**2 - 3*c**3 wrt c?\nAnswer: -58*a**2 - 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:27 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -373\/4 + 93. Let i = 0.8 + 0.2. Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 10*r + 11. Let j be (3 + 1)*10\/(-8). What are the prime factors of s(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**4\/12 + 2*z**2 + 14. Give n(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 - 31*n**2 - 340*n + 55. List the prime factors of l(-25).\nAnswer: 3, 5, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 0.05, -4\/23, 46.\nAnswer: -4, -4\/23, 0.05, 0.2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 619236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8878*u + 63164. What is t(-7)?\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -273, -280, -283, -282, -277, -268, -255?\n\"Answer: 2*n**2 - 13*n - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6\/5, 3 in descending order.\nAnswer: 3, 6\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/3 - 2\/2. Let f be 4 + 0 + -1 - 1. Solve o = f*k + k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + 160 - (-12 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 4*m**2 - 10*m - 33. Let o be t(7). Suppose -o*y - 28 = -40*y. Put y, -5, 2, -1 in decreasing order.\nAnswer: 2, -1, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 - 72 = -6*h. Let t(l) = 5*l + 12. Let d(a) = -14*a - 36. What is h*t(j) - 4*d(j)?\nAnswer: j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 7*z**4\/4 - z**3\/3 - 94*z - 89. Differentiate m(o) wrt o.\nAnswer: 21*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20718 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6 and 58\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - c4?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 4, 10, -8, 162, -5 in decreasing order.\nAnswer: 162, 10, 8, 4, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 2, -95.\nAnswer: -95, -15, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-2))\/((-3)\/(-6) + 0). Suppose -r*a = -17*a + 8. Calculate the greatest common divisor of a and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j = -15. Let p be j - (2 + -2 + 2). Let w = 462.2 - 462. Which is the smallest value? (a) p (b) w (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(704) + sqrt(704) + -1)**2 + sqrt(11)) + -3.\nAnswer: -93*sqrt(11) + 8448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*t**2 + 1 - 32*t**3 - 2*t**4 + 449*t - 448*t + 103*t**2 to the form x + m*t**4 + s*t**3 + h*t + c*t**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + 1*(sqrt(35) + sqrt(105)\/sqrt(3)))\/(sqrt(5) - (sqrt(720) - sqrt(720)*1)) + 1.\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48314460 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2061363393 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184017981 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5550606 and 658?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 391 + 7*s**2 + 5*s**4 - 2*s**3 - 389 - 3*s**4 to the form h*s + t*s**3 + f*s**4 + p*s**2 + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfb when three letters picked without replacement from {t: 4, f: 4, b: 7}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((1 + sqrt(1053) + -5)*1 - -6*(0 + sqrt(13)*-2)*-4) + 5)**2.\nAnswer: -211190 - 570*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 203326, 203318, 203310, 203302, 203294, 203286?\n\"Answer: -8*p + 203334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9) - 10\/3. Let y = 1.53 - 1.63. Let x = 0 - -3. Sort y, w, x.\nAnswer: w, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 3*i**3 + 2*i**3)*(2 - 2 + 2*i**2 + (i**2 - 4*i**2 + 4*i**2)*(-1 + 1 - 1)).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 100878, 100889, 100914, 100959, 101030, 101133, 101274?\n\"Answer: h**3 + h**2 + h + 100875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/816*(6 + -2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6186 and -89\/16496.\nAnswer: 49488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -35, 5, -109.45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222112 (base 3) to base 12.\nAnswer: -2b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 4*k + 2. Let f(o) = 3*o**2 - 9*o - 4. What is -2*f(r) - 5*w(r)?\nAnswer: -r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 7*m + 7. Let r be f(-5). Let o be r\/(-9)*12\/(-88). Is o > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 59*d**2 - 109*d + 317. Give j(-57).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151993453 and 10653?\nAnswer: 3551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 2173?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w + 130*w - 69782 = 0. Calculate the highest common divisor of w and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + 0.17. What is the nearest to 1 in 0, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24)*140)\/(4\/(-6))*(-6)\/(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1173 + 9256 + 102 + 7944)*(0*o**3 - 3*o**3 + 2*o**3).\nAnswer: -16129*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11312.5 minus 56011082?\nAnswer: -56022394.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/((c*(c\/((c**1\/c*c)\/c))\/c)\/c))\/c*c)**(-39\/7) assuming c is positive.\nAnswer: c**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 u, and 1 w when four letters picked without replacement from wuwrpiuvpipiipp.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2346, 4686, 7068, 9492, 11958, 14466?\nAnswer: 17016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 6*r**3 - 7*r**3 + 23*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 + -33252014?\nAnswer: -33251354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1.7, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 25 - 39. Let n(d) = -16 + j + 2*d. Let y(p) be the third derivative of -p**4\/6 - 2*p**2 - 125. Calculate y(n(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/5))**(2\/67) assuming t is positive.\nAnswer: t**(6\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41463)\/3213 + ((-1)\/2 - (-17)\/42) + -6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1353 + -16441. What is u rounded to the nearest 100?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4861704 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from jwwjwjjjjjj?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -904 + 992. Suppose -5*f - v = 4*v - 430, 5*v + 20 = 0. Suppose -j - k = -f. Solve -j*x - 16 = 3*u, -u + 5*x = -2*u - 27 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 + 4*w - 2. Let f(k) = -k**3 - 3*k**2 - 3*k + 2. What is -4*f(q) - 3*m(q)?\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 0*w**2 - w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 + 12462*i - 87136 = 0. Calculate i.\nAnswer: 7, 6224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 20*t + 3804 = 2*w, -w + 4*t = -1906. What are the prime factors of w?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t**3 + 9*t**2. Let k(r) = r**3 + r**2. What is -18*k(q) + 2*p(q)?\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n - 35. Is h(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -57 (b) 5\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (((3*sqrt(192) + sqrt(192))*-3)**2 - 5*-2*sqrt(192)).\nAnswer: 80*sqrt(3) + 27645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 723778 and -6184.731?\nAnswer: 729962.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*i = -595*i + 12407 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39500 - -118496\/3. Which is the closest to 2\/7? (a) 16 (b) y (c) -31 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -1234*w**6\/3 + w**2 + 793*w - 2613. What is the second derivative of v(k) wrt k?\nAnswer: -49360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:38 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/120 + s**5\/6 - s**4\/4 - s**3 + 2*s**2. Suppose -18*w + 7*w + 99 = 0. What are the prime factors of m(w)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333 = 2*k + 5*i - 390, 13*i = -3*k + 146 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-15))\/((-1074)\/8055).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 u, and 1 d when four letters picked without replacement from udydduyfau.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974357896.3 - 0.059?\nAnswer: 1974357896.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-1)\/(-2)). Let o = a - 2. Is 19 - 0*o\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25414362?\nAnswer: 2, 3, 19, 74311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19932 divided by 22?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d + 14. Let b be z(4). What is the smallest common multiple of 15 and b*18\/3*(-5)\/(-30)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16796a (base 12) in base 2?\nAnswer: 1011110011010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 521317411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11208 and 48?\nAnswer: 22416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 88489740933326?\nAnswer: 88489740933323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 l when three letters picked without replacement from llfllxxle.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + -1)*(-1)\/3. Let a = 188 + -186. Let w = z - a. What is the closest to w in -1, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/7 - 918\/42. Let s = 13 - w. What are the prime factors of s?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 5*y - y - 2)*(593*y**2 - 7*y - 591*y**2 - 21*y) as r*y**2 + b*y**3 + l + d*y and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 14.21586939407.\nAnswer: 13.71586939407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110110101011111111 - 101?\nAnswer: 101110110101011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13414 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0 - (-3 + -18 - (-4 - -5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*n, 242*n = -p + 240*n - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 37. Let z be l(-10). Suppose -57 = 4*y - z*p, -2*y - 7 = -4*p + 9. What is the hundreds digit of 3\/18 - 4443\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 6) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-3 - -4))*-5. Suppose -u*t + 0*t - 215 = 5*h, -t + h - 41 = 0. Let r be 216\/t*(-56)\/6. Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -98*j + 298. Let y be g(3). Sort -2, y, 1, -6 in ascending order.\nAnswer: -6, -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.362991 litres in millilitres?\nAnswer: 7362.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -923*a**4\/6 - 1535*a**2\/2 + 1022*a. What is the derivative of g(d) wrt d?\nAnswer: -3692*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 - -110. Let m be ((-14670)\/(-5225) + i)*-1. Let p = m - 1\/95. What is the second biggest value in p, -13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 499024994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1954\/4915 - -12\/4915. Let r(h) = h**3 + 5*h**2 - 7*h - 3. Let g be r(-6). Which is the nearest to g? (a) -4 (b) -5 (c) w (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let p(y) = -110*y - 2. Determine p(d(s)).\nAnswer: -110*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 201528.7 rounded to the nearest one thousand?\nAnswer: 202000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 405*k**4 + 579*k**4 + 267*k**4 + k**4 + 3*k - 3*k + (-3*k**4 + 0 + 0)*(2 + 2 - 3).\nAnswer: 1249*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 24\/(-256)*76\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-6)\/(-688))\/((-72)\/(-2664)*-37).\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -984 divided by -4.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/468 and 121\/34649706.\nAnswer: 207898236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -100. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12521, 1, 18, -2, 5 in increasing order.\nAnswer: -2, 1, 5, 18, 12521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 0 - 2\/5*v**2.\nAnswer: -2*v**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -874, -3, 138, 0 in decreasing order.\nAnswer: 138, 0, -3, -11, -874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbbijij. What is prob of sequence bj?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123739 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: In base 12, what is -3 + -28?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -13. Let q be ((-207)\/2)\/((-4)\/8). Let u = q + -137. What is the greatest common divisor of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(1 + 6\/(-4)). Let h = 10 + 10. Solve -a + h = z*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 5*h - 10 = j, 301 = 100*j + 13274*h - 13273*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 340843991, 340843990, 340843989, 340843988, 340843987?\n\"Answer: -a + 340843992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - c - 1. Let q(j) = 3*j**2 + 4*j - 73. Give 4*n(o) + q(o).\nAnswer: -o**2 - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1345 - 0.1321844. What is c rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1684, -1701, -1730, -1771, -1824?\nAnswer: -1889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 9118690 and 9118693 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - 2*x**2 + 8*x + 5. Let d be o(6). Determine w so that -16\/3 + 296\/3*w**3 - 248\/3*w**2 - 128\/3*w + d*w**4 + 294*w**5 = 0.\nAnswer: -2\/3, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*z + 48*z - 138. Let n be -1 - (14\/49 - z\/(-14)). Sort n, -5, 4, -19 in decreasing order.\nAnswer: 4, n, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-3)\/1)\/1. Suppose 523 = 5*p - r*i, 0*i + i = p - 104. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55152 (base 6) to base 9\nAnswer: -11415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 4216 and -15576 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - a = -17, 4*a - 2*a - 26 = -4*n. Let i(x) be the second derivative of -x**2 + 0*x**3 - 3\/20*x**5 - n*x + 0*x**4 + 0. Differentiate i(b) wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4843 and 501.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.06 + -0.96. Suppose -3*i - 32 - 25 = 0. Which is the third smallest value? (a) i (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780.91 + -0.8?\nAnswer: 3780.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19 and -275632?\nAnswer: 275613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -0.4 (c) 1\/267 (d) -2\/13 (e) 2.7 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0534 - 277.9466. Let i = r + 278.183. Round i to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1741*u**6 - 634*u**5 - 2*u**2 - 2*u + 960051 wrt u.\nAnswer: 208920*u**3 - 38040*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*q - 3879, 5*q - 3389 - 3116 = -5*i. Suppose 9*f - 13*f = -3*u + 784, i = 5*u + 3*f. Calculate the greatest common factor of u and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5679 in increasing order.\nAnswer: -3, 1, 5679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2341360 and 217412.\nAnswer: 30437680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eguxfueeeeuuuufeuuu. What is prob of picking 1 u and 1 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -15\nAnswer: -41\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 54 = 2*d. Let o = -191\/7 - d. Which is bigger: o or -1.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:36 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4560 + 14*k**2 + 4560.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 16*z**2 - z + 40. Let q(c) = -4*c + 72. Let x be q(14). Let d be m(x). Solve 3*g + d = -3*l, 0*g - 20 = 3*l + 2*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/(-33462)*(-1197)\/(-532)?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -v + 89, -3*v = -v - 5*a - 183. Suppose 6*s = -7*s + v. Solve 4 = -2*o + 2*w, s*o - 3*o + 28 = -w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.5, 2\/17, 67\/2, -0.09, 29, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-400))\/(36\/45).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 2*o - 1. Let d(j) = -12*j**2 - 1437*j + 5. Determine d(b) + 7*f(b).\nAnswer: 2*b**2 - 1451*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 6827*w = 6831*w + 15, -4*w - 13 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 64*w + 3 + 171*w + 3*w - 5. Let k be p(-3). Is k\/(-6) - 1\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 3:40 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2 + 10*m - 6. Let q(x) = -91*x**2 - 3*x + 51. Let z(d) = -114*d**2 - 4*d + 64. Let o(v) = -5*q(v) + 4*z(v). Let h = -1 + 6. Give h*o(r) + f(r).\nAnswer: 2*r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-35 - (29 + -33)) - (-2 - (0 + -67)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/3 + 0)*1. Solve o*k - 5*k - 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 28. Let u(d) = 31*d - 5. Let w(b) = 111*b - 18. Let f(q) = -18*u(q) + 5*w(q). Determine z(f(m)).\nAnswer: -12*m + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**3 - 3*w**3 + 12*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 6*y - 6. Let w = 4295 - 4294. Let z(h) = -h**2 + h - 1. Let o be 0 + 1 + -3 + -4. Determine o*z(k) + w*b(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + p**4 - 328*p**2 + 45 - 3*p**3 + 236*p**2 - 44 + 2*p in the form r*p**4 + y*p**3 + b + a*p + i*p**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - 462431 = -84*m. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = 3*f - 270 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85719907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263 is divided by 1260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (-4 + 15 - 10) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95 + -269838?\nAnswer: -269922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 984*k**2 + 1996*k - 2976.\nAnswer: -4*(k - 248)*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z**3 + 6*z - 9 - z**3 + 5*z**2 + 14 + 0*z. Let n be t(6). Find the third derivative of -3*u**2 - 2*u**2 + 12*u**2 - 9*u**6 - n*u**6 wrt u.\nAnswer: -1680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -810 - (-15)\/(-9)*-3. Is 15 a factor of l\/(-46)*(-408)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*1190\/(-714).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 97247016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2)*-4 + sqrt(2))*-4) + 0.\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.308635535 times -2\nAnswer: 0.61727107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.025, -42, 93?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x - 21. Let d(s) = 6*s - 60. Determine 2*d(y) - 7*u(y).\nAnswer: -2*y + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 12423 (c) 0.2 (d) 0.1 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11 - -0.2. Let x = 1.07 - 1.221. Let d = m + x. Round d to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4516686*s**3*t - 4*s**2*t - 6*s**2 + 285*s*t + 3 wrt s.\nAnswer: -27100116*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 266 + -266.0181. What is o rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 6*j - 3. Let s(a) = -a**2 + 5*a + 3. Let h(f) = -3*b(f) - 2*s(f). Let z be h(8). Sort z, -3, -2.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6074550 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -337, -764, -1363, -2140, -3101?\nAnswer: -4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j - 14. Let k(b) = -2*b - 5. Let c(o) = 6*g(o) - 17*k(o). What is c(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*n**2 + 36*n**2 + 6*n**2 - 18)*(1860*n - 1860*n + 96*n**2) in the form w*n**2 + m*n**4 + s*n**3 + q + o*n and give w.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -972, -2196, -3910, -6114, -8808?\nAnswer: -11992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 19791160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*t = -4, 0*s + 1 = 5*s + t. Let w be 15\/(-5) - (-5 - 0). Factor -3\/5*m**w + 3\/5*m**5 + 0*m + 9\/5*m**3 - 9\/5*m**4 + s.\nAnswer: 3*m**2*(m - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29500?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q**4\/13 - 502*q**3\/13 - 3556*q**2\/13 + 12312*q\/13 - 6480\/13 = 0.\nAnswer: -9, 2\/3, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 508585 divided by -72655.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = 0, 4*d = 4*x + x + 3889. Suppose 5*c = c, -4*m = 5*c - d. What are the prime factors of m?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 3*v**4\/4 + 9*v**2\/2 - v + 68. What are the prime factors of b(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(1053) + -3 + 1*(-1*sqrt(468) - sqrt(468))*-3)**2.\nAnswer: 270*sqrt(13) + 26334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a**3 + 13*a**3 - 59*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -608\/9 - -68. Suppose 0 = -5*n - 42 + 77. Let t(j) = j**3 - 8*j**2 + 7*j + 1. Let v be t(n). Is v != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i - 4. Suppose 2*u + 16 = -2*u. Does 11 divide a(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 18*l**2 + 41*l + 44. Let k = -66 - -46. Let a be p(k). Is 20 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -258738.0998 to the nearest ten.\nAnswer: -258740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13086000 = -12*u + 3*u. Round u to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9203, 36246, 81315, 144410?\n\"Answer: 9013*n**2 + 4*n + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x - 20. Let j be y(13). Suppose -2*a = -4*c + j, 8 = -2*c - 5*a + 64. Is c\/11 + (380 - 2) + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -25*o**7\/7 - 613*o**3\/3 - 3*o**2 - 11*o. Find the first derivative of l(y) wrt y.\nAnswer: -3000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-37 - (-45 + 0)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 1, 140?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -111712090 from -0.74.\nAnswer: 111712089.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:25 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 35*l**2 + 35*l + 61. Calculate w(36).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in -3, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)**(35\/4))**(-28\/5) assuming n is positive.\nAnswer: n**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 585090, 585079, 585058, 585021, 584962?\n\"Answer: -a**3 + a**2 - 7*a + 585097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11688411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u - 76*u)*(96 + 101 - 194 + u**2 - 2*u).\nAnswer: -77*u**3 + 154*u**2 - 231*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5\/6, 5, 191141 in decreasing order.\nAnswer: 191141, 5, 1, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**3 - 35*r**3 + 2222 - 4432 + 2210.\nAnswer: -27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-29)*(q**2)**7 assuming q is positive.\nAnswer: q**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -74?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 minus 974501433018?\nAnswer: -974501432950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 2, c: 1, h: 1, l: 1, a: 1}. What is prob of sequence nlc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473246*d**2 + 1 - 1 + 1473228*d**2.\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 232*y**2 + 398*y - 38439. Calculate c(233).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 4. Suppose -87*x = -79*x - 1032. Suppose -10*s + 3*j = -13*s + x, 4*s - 3*j - 200 = 0. What is the remainder when s is divided by w(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - s + 37 = 0, 4*l + 30 = -3*s - 11. Let i be (4\/(-8))\/(2\/l). Solve 0 = -g + i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 11)*(-1)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115.2 - -98. Let k = n + 17. Let m be -1*(-4)\/18*-3. What is the third smallest value in m, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/9 and -73\/489.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 5. Let j be p(-5). Let u(l) = -l**2 - 9*l + 10. Let a be u(-9). What is the highest common divisor of j and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 12 + (0 - 5). Suppose -n + x = 4. Let s be n\/12 + (-3 - 43\/(-3)). Solve s*g - 10*g = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6601 + -6601. What is the third biggest value in 996, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/(-8*(-4)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7424)\/224 + 18)\/(-9 + 455\/49).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5637, 11306, 16975?\n\"Answer: 5669*d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i. Let p(j) = 31320964*j. Give c(p(q)).\nAnswer: -62641928*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0106848904 rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 41 + 41 + 0*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2589a + -3?\nAnswer: 25897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(80) + -5*(0 + sqrt(80))**2.\nAnswer: -402 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-3 - -1) + -8) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*a + 22400 = -344*a + 904*a for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30749403.\nAnswer: 3, 10249801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjze when four letters picked without replacement from zjjjrljee.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -225.25, -2, -2\/13 in descending order.\nAnswer: 1.5, -2\/13, -2, -225.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*h - 24, u = -4*h + 7 + 5. Suppose -u = -2*r + 4. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + y + (3*y - 8*y - 5*y)*(0 - 3 + 2))*(11 - 37 + 16) + (-1 + 3 - 1)*(0*y - 3*y + 2*y).\nAnswer: -121*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/((-5)\/(-4)))\/(-1). Let b be 2 + (4 - i) + 6. What is the units digit of 20\/b*8\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 12*m = 8. Suppose m*o = 7 - 23, k - 31 = 3*o. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11211322 (base 4) to base 11.\nAnswer: 16234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 w, and 1 q when four letters picked without replacement from tujwtwuujuuudqutquwu?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.8 - 38.8000592. What is u rounded to six decimal places?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 + 61. Let j = -29 - r. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 0.0765\nAnswer: -10.0765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 983.4 + -1004.4. What is the second smallest value in 2\/27, 2, s?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*y = 220*y - 88. Solve -y*a + 40 + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/4 - 3031*g**2\/4 + 1656471*g\/4 - 4942161\/4 = 0. What is g?\nAnswer: 3, 711, 2317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1144*y + 21740. Let a be s(19). Factor 0*r**2 + 0*r + 6\/7*r**a + 0*r**3 + 0 + 3\/7*r**5.\nAnswer: 3*r**4*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 27 = -15. Let b(p) = -2*p + 5*p + 3 - 8*p - q*p. Does 17 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - -15*56\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:19 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-126)\/(-12))\/(-21)*(-4 - 0). Solve -2*d = -u*c + 3*d - 6, 3*c = -5*d - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -0.4, 134?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 + 11672720*i**2 + 46690828*i + 35018112 = 0. Calculate i.\nAnswer: -2918176, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*a**2 - 3 - a**3 - 37*a**2 wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/262899?\nAnswer: 2\/262899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52, -5 in descending order.\nAnswer: 2, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (3 - 1) + -3 - (-71 - (-8 - 53)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6528*a + 52212. Give j(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3536.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 116, 174?\n\"Answer: 58*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 49636200 to the nearest 100000.\nAnswer: 49600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 32 = -5*m, -3*m + 101 = 4*y + 74 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, f: 1, o: 1, a: 1, q: 2, h: 1}. Give prob of picking 1 a, 1 n, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 - 71*w - 15*w as g + i*w and give i.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(-8)\/(-144)*(-778 + 1). Solve -i = 3*o + 34*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6718 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 9*p**2 - p - 6. Suppose 27 = 2*j - 3*t, 0 = j + 5*t - 2 + 8. Calculate n(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 12. Let g(w) = -2*w + 5. Suppose 38*u = 35*u + 15. Let k be g(u). Calculate m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587 a factor of 1246251204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5*g - 12 - 33 + 6*g - 4*g + 4*g.\nAnswer: g - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 1 - 3*d**3 + 8*d**3 - 2*d**3 wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/1 - (5 + -2). Suppose -4*v = -5*o - 450, 3*v = v - d*o + 212. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x + 40. Let y be o(0). Let u = -73\/2 + y. Suppose -i - 4*i = -20. Is i equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 31. Suppose 2*i = -5*z + 172, 161 = d*z - 3*i + 5. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329370935 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118523115.614766047 + 118516699.61476. Let w = c - -6416. What is w rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088074 is divided by 83696?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (1 - 4) + 9823303\/(-7 + 0). Round p to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 4. Suppose -29 = -v - z. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684273651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 35130?\nAnswer: -35130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2371004*b**4 + b**2 + 5*b - 212866?\nAnswer: -56904096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 - 5*g**2 + 5*g**2 - 2*g**3 + 4*g**3 - 22*g - 2*g**2 in the form x*g**2 + j*g + y*g**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 16*q**2 - 18*q - 2. Let m be a(6). Let x = m - 424. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from uzuzzdzud?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -0.8. Let v = -31 + 31. What is the smallest value in b, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 730 - 905 = -7*n. Calculate the remainder when 796 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1290)\/55)\/6 - (-3 - 1).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 0*f + 3*f**2 + f)*(-59*f**2 - 3*f**2 + 12*f**2).\nAnswer: 50*f**4 - 50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-12)\/(-60))\/(6\/20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544638289.\nAnswer: 13, 41895253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 9) in base 16?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b**2. Let z(u) = u**3 + 8*u**2 - 10*u - 9. Let v be z(-9). Suppose 4*r - 22 - 54 = v. Let k(s) = -9*s**2 + r*s**2 - 8*s**2. Give j(k(h)).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-35) - (-1152)\/21 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4\/19761 (b) 5 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -1. Suppose 13*f - 370 = g. Calculate the highest common factor of f and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2 - (-2)\/(-4). Suppose 0*g = g + l. Let r be (10\/6)\/(1\/3). Sort r, g, -1 in ascending order.\nAnswer: g, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.423 take away 607214473?\nAnswer: -607214473.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u + u**3 - 5*u**2 - 4 + 4 + 5 + 17*u. What is the units digit of f(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctx when three letters picked without replacement from {k: 2, q: 7, c: 1, t: 7, x: 1}?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -26*h + 100. Let i be t(3). Let x(f) = f**2 + 12*f + 30. Let v(u) = 4*u**2 + 48*u + 119. Let w(c) = i*x(c) - 6*v(c). Factor w(s).\nAnswer: -2*(s + 3)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (-168)\/49)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*z - 4, 5*o + 96 = 116. Sort z, 3\/485, 1\/2 in decreasing order.\nAnswer: z, 1\/2, 3\/485","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 - 17 + v - 17 + (7 - 7 + 5*v)*(6 - 3 + 2) + (2*v - 4 + 4)*(3 - 2 + 2).\nAnswer: 32*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/20 and -27\/211994.\nAnswer: 2119940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 + 500. List the prime factors of g.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 6360000 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5)*j**4)**(-42)*(j*j**1)**(-2\/37)\/(j**(2\/5)*j*j*j\/((j**(3\/7)\/j)\/j)) assuming j is positive.\nAnswer: j**(-6578\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*z**3 + 12728*z**2 + 90456*z - 2 wrt z.\nAnswer: 24*z + 25456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.8 - -11.8. Is f < -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e899 (base 15) to base 8\nAnswer: 445654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13941, -13899, -13779, -13545, -13161?\n\"Answer: 6*h**3 + 3*h**2 - 9*h - 13941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112.9 - 124.935. Let l = 2 + 10. Let n = l + o. What is n rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxl when three letters picked without replacement from {x: 7, l: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68046016 to the nearest integer?\nAnswer: 8249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54793415 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r - 6. Let z = 3 - 5. Let d(p) = 28*p - 8. Let j(b) = -17*b + 5. Let q(w) = -3*d(w) - 5*j(w). Let s(g) = z*q(g) - n(g). Differentiate s(y) wrt y.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297790371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydddygydsugsu. What is prob of sequence uyg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/4*-7*(-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 v when three letters picked without replacement from {u: 1, m: 9, v: 3, n: 2, t: 4}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 39, 43, 49, 57, 67, 79?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, -16, -554, -1726, -3742?\nAnswer: -6812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 + 241. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 108*s + 105.\nAnswer: 3*(s - 35)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1730958206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -32360.5345 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1110097\/312 - 3558. What is the common denominator of n and ((-355)\/(-40) + 2)*(-2)\/9?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:03 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/5 in -4, 2\/3, 0, -5, 3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948825 is divided by 54?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from expaaeccexaixpa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o - 126 = 0. Suppose 4*x = -4*i + 35 + 9, 5*i = x + 7. Sort o, 1, i, 4 in decreasing order.\nAnswer: 4, i, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z - 5117 = -1299. Is z < -165\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 176 = -50*q - 18*q. Sort q, 0, -1 in increasing order.\nAnswer: q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94826 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-133)\/(-38) + (-1)\/6)\/(2\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45094 (base 12) in base 4?\nAnswer: -112120300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x + 160. Let d = 77 + -67. What is the greatest common divisor of d and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 78 = 0. Let a be (d\/(-6))\/(3\/(-9)). Let u = 8666 + -8549. What is the highest common divisor of a and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Suppose -2*b - l*b = -40. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.1. Let h = -6800.5 + 6801. What is the closest to -13 in v, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 2. Suppose 2*r - 2 = 8. Suppose 18 - 53 = -r*m. Calculate the remainder when 8 is divided by y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.062 + -0.401. Let l = -0.33896761 - m. Round l to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 167*t**2 - 167*t**2 - 8 + 3*t**3.\nAnswer: 2*t**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56\/253 + 11549\/5313. Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 10*i**2 + 63*i + 2 - 61*i - 2. Let k be (-4)\/(-10) - (-183)\/5. Let p(n) = -37*n + k*n - n**2. What is p(f(r))?\nAnswer: -49*r**4 + 28*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1150043.\nAnswer: 115004.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in -2\/5, 4, -0.1, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248459432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -17*m + 47. Let w(i) = -6*i + 16. Let b(g) = -3*o(g) + 8*w(g). Let x be b(10). What are the prime factors of x*(2 - (-1 - 1))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37479 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 0)*((0*s**3 - 3*s**3 + s**3)*(0 + 0 + s) - s**4 + s**4 + s**4) + (-2*s**3 + s**3 + 2*s**3)*(-2*s + 3 - 3) - 35*s**4 + 25*s**2 - 25*s**2.\nAnswer: -34*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6850 = -963*v + 141*v + 55522 + 13800 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/27 - (-461)\/180 and 13\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -5537*l**4\/4 + 9*l**2\/2 - 201*l - 7352. Find the second derivative of f(b) wrt b.\nAnswer: -33222*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -289034270 to the nearest 100000.\nAnswer: -289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o - x - 45, 34*x = 67*x - 38*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3040*f**6 + 19*f**3 + 540535*f**2.\nAnswer: 364800*f**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1754 - 471836\/269. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Solve 5*i = 4*t - 31, 9 + 8 = -c*i + 2*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 + b + 22. What is d(9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(55\/(-66))\/(-5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122222 - 122112?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 9477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:54 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in 8\/107, -6, -0.1, 1\/3?\nAnswer: 8\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-9))\/((-10)\/(-15)). Let y = 0 + -4. Is (y - -1) + z + 18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u + 11*u)*(-4*u + 2*u + u**3 + u**3).\nAnswer: 14*u**4 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*l**2*o - 9*f**2*l**2 - 4*f**2*l - 11*f*l**2*o + 3*l*o wrt o.\nAnswer: -f**2*l**2 - 11*f*l**2 + 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 91 - 37. Let u(a) = 4*a + 15. Suppose 2*r = 2, -r = -3*c - c - 1. Calculate the smallest common multiple of u(c) and o.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.9 + -17.1. Let x = -3.4 + 0.4. Which is the smallest value? (a) -0.1 (b) x (c) -5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263719 is divided by 65928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + -3*sqrt(78)*4 + sqrt(78) - sqrt(78) - sqrt(78)))\/(sqrt(54)\/(4*sqrt(9) + sqrt(9)) + sqrt(6)).\nAnswer: 65*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b + 31*b - 38 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7380 - 7380.00013444. Round i to six dps.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + 6 + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2651)\/964)\/(-2*(1\/1)\/(-24)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l. Let r be -12*(2\/(-6) + l). Suppose -r*a + 64 = -0*a. Solve -3*z = z - a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 206 = -3*v. Let t = v + 166. Let h be (t\/6)\/((-4)\/300). What is h rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1317235.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/4366*46\/92?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 2 + (-14)\/14. What is the highest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/6 + -2)*1. Let x = 5.131 - 4.731. Sort x, -8\/5, v.\nAnswer: -8\/5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.578001 months in centuries?\nAnswer: 0.0154816675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7474 + 7473. Which is bigger: -38 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phmny. What is prob of sequence phm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.4916717 rounded to 1 decimal place?\nAnswer: -256.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21*5\/(-45)*3. Suppose z*x - 9*x = 14. Put 1, 4, -1, x in descending order.\nAnswer: 4, 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - q + 8 = 0, 3*p = 5*q - 2 + 27. Suppose -2*o - 75 = -p*o. Let y = o - 15. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -2*sqrt(5) + -2 + (sqrt(5)*1 + -2)**2.\nAnswer: -5*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1075629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0.46, 0.1, 0.3, 30.\nAnswer: -5, -4, 0.1, 0.3, 0.46, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, -616, -2413, -5890, -11605?\n\"Answer: -93*c**3 - 3*c**2 - 15*c + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3895\/6 + -630. Find the common denominator of -41\/18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 1, -6, -5, 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1255978895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 = 3*p + l, 21 = 2*p + 3*l. Suppose 56 = 4*u - p*b + b, 5*b = 20. Let n = -14 + u. Solve -n*h + 1 - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/2 - 8466187*j\/2 - 4233093 = 0. What is j?\nAnswer: -8466186, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51782*n - 51782*n + b = 5, 2*n = 3*b - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2804752 and -95\/1228.\nAnswer: 2804752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338 divided by 1338?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = y, -3*o = -3*y + o + 14. Let s(i) = i**2 - 13*i + 0*i**2 + 11*i - 2*i**y. Calculate s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(-4*r - 3*r + 0*r + 2) as c + x*r and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 11) to base 10\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39201, -78392, -117585, -156780?\nAnswer: -195977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n + 2. Let h be x(-4). Let p be (-5)\/(10\/(-24) - 71\/(-142)). List the prime factors of (-16132)\/p - h\/(-45).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1845*w**2 + 2358*w**2 - 1819*w**2 + 0*w**2 + 2*w**2 - w**2 + (-4 + 4 - w)*(2*w + 4 - 4) to the form y*w + q + z*w**2 and give z.\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 - 8*z**3 - 71 - 2*z**2 - 2*z**4 + 6*z**3 to the form r*z**3 + u + o*z + q*z**2 + s*z**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - q - 285*q**2 + 299*q**2 + q as y*q**2 + m + w*q and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 1458*i - 1455.\nAnswer: -3*(i - 485)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let h(c) = -4*c - 84*c**2 - 3*c - c + 8*c. Give h(n(f)).\nAnswer: -336*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -4202055?\nAnswer: 4202033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 50946001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8804201.\nAnswer: 7, 19, 53, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62809, 251241, 565293, 1004965, 1570257, 2261169?\n\"Answer: 62810*d**2 + 2*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3000012001 (base 4) to base 3.\nAnswer: -1110222022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3657 is divided by 271?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**4 + 31*x**2 - 688*x wrt x?\nAnswer: 72*x**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403 (base 6) to base 2.\nAnswer: 10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1355 + 0.13566497. What is w rounded to 6 dps?\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 2:12 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**14\/((u**17*u)\/u) assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2763304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35275 and 135065.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41410, -41734, -42058, -42382?\nAnswer: -42706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 2*w**3 + 5*w + 15*w**2 - 16*w**2 in the form o + y*w + d*w**3 + n*w**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3459*p**2 - 4031*p - 6. Let f(d) = -10374*d**2 - 12099*d - 17. Let o(u) = -17*a(u) + 6*f(u). Find the second derivative of o(l) wrt l.\nAnswer: -6882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 + 212. Calculate the remainder when (-1042)\/(-5) - f\/20 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5438*z + 3 - 2722*z - 2720*z.\nAnswer: -4*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 909\/(-513) + 50\/(-15) + 5.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.76702 nanoseconds to microseconds.\nAnswer: 0.09876702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 602, 973, 1398, 1895, 2482?\nAnswer: 3177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 12*f**2 + 13*f + 135. Let g be u(-17). What is the highest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 1075715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -56.5. Let n = i + 0.3. Let l = 12 - 14. Which is the biggest value? (a) -4\/3 (b) n (c) l (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 7*j**2 + 7*j + 7. Let x be s(-6). Let i be -1*(0 - 1) + x. List the prime factors of (i\/(-4))\/((-2)\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61933, -121882, -181831, -241780, -301729?\nAnswer: -361678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 2586 + 22*g**3 + 29*g**3.\nAnswer: 43*g**3 - 2586","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**3 + 2*g**2 - 1. Let n be v(-1). Suppose 2*w - 11 = s, -3*s - 1 = n. Let q(b) = b**2 - 5*b + 2. Calculate q(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -136, -375, -736, -1231, -1872?\n\"Answer: -2*g**3 - 49*g**2 - 78*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1. Suppose 0 = 3*s - 3*f + 6, 4*s + 2*f - f = 17. Let c be v(s). Calculate the highest common factor of c and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -7, 69369 in ascending order.\nAnswer: -7, 88, 69369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*l + 27096 = 5020 - 10132. Calculate the least common multiple of 165 and l.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 7*x - 36. Suppose -2*g - 10 = 0, 4*r + 6 = -x*g - 13. Let q be -4 + 1 + (-7)\/r. Solve -8 = 4*j, 2*j - q*j + 6 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30))\/(2 + (-170)\/100)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1 + 0 + 1. Suppose 3*y = v - 12, v - u*v + y = -20. Suppose -4 - 8 = -v*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 - 14*z - 2*z**2 + 20*z - 23*z**2 - 6*z.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hig when three letters picked without replacement from cipicihgcg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572359 by -9701.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/1134)\/1*37. Let l = -2\/81 + s. Let m be (13\/26)\/((-7)\/6). What is the closest to l in 0.1, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 21*s. Let r(a) be the second derivative of 2*a**3\/3 - 3*a. Calculate 11*r(j) - 2*z(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q + 2. Let s(x) = -x**2 + x + 4. Let w be s(3). What is u(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.66 - 23444065?\nAnswer: -23444294.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 3*r**2 + 3041*r - 1069*r + 1680*r + 3488*r.\nAnswer: -r**2 + 7140*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8063.203 - -1.203. Let p = 8014.67 + h. Let i = p + 48. What is i rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 255*o**2 + 7*o + 24. Let w(r) = -r**3 + 128*r**2 + 3*r + 12. Let z(l) = 2*n(l) - 5*w(l). Find the second derivative of z(g) wrt g.\nAnswer: -6*g - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 9*w**2 - w + 18. Let f = -53 - -45. Let c be r(f). Suppose 6*p - 15*p + c = 0. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177293647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1392 * -32486\nAnswer: -45220512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j**2 + j - 2. What is f(-2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4 + (-3 + 3 - 2)*(-2 + 2 + 1))*(w - 2*w + 3*w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Suppose 0 = 6*u + 617 - 641. Let q = -11 - -21\/2. What is the nearest to -1 in b, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166666\/27 - -6171. What is the common denominator of ((-22)\/(-54)*33)\/(-2) and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-5)\/(-6)))\/(184\/(-1012)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by (2 + 2\/(-4))*(-130)\/(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3845*i + 78794 = 2317*i - 386266 - 268218 for i.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 5*d + 9. Let n be z(6). Suppose -y = -n*y + 6. Suppose r = -2*h, 9 + 5 = h - y*r. Solve 12 = h*q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2669, -5333, -7981, -10607, -13205, -15769?\nAnswer: -18293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 + 200881*k**3*q**3 + 7872*k + 60*q**3 wrt k?\nAnswer: 24*k**2 + 1205286*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 34 = 37 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r*r*r**(1\/7)*r\/(r*r**(-1\/12))*r**(1\/4)*r assuming r is positive.\nAnswer: r**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -h - 216. Suppose -5*b + h = q, 7*b - 4*b = q + 8. What is the third derivative of -8*g**4 + 55*g**b - 7*g**4 - 4*g**2 + 29*g**2 wrt g?\nAnswer: 960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068263591 rounded to 6 dps?\nAnswer: 0.006826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*f**4 - 3 + (-3 + 6 - 2)*(-176*f - 31*f**4 + 176*f) to m*f**2 + k*f + i*f**4 + j + a*f**3 and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 57. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25.21884 kilograms?\nAnswer: 25218840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let n(q) = -56*q**2 - 21*q - 21. Let j(r) = -11*r**2 - 4*r - 4. Let b(g) = 21*j(g) - 4*n(g). Calculate y(b(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/30 - z**4\/4 - 33*z**2. Suppose -3*t + 16 = -4*r, 2*r - t + 4 = r. Determine n(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzjzjjzjzjzzz. What is prob of picking 3 z?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/80)\/(3\/(-194)) and 4\/(-14) + (-2825)\/(-210)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1638)\/(-135) + (-4)\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*2*sqrt(432).\nAnswer: 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-6)\/(-21))\/(295\/413)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 12659802?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*((p**(-20)*p)\/p)\/p)\/(p**(-1\/6)\/p))\/(p*p\/(p\/p**31)*p\/p**(-8)))**13 assuming p is positive.\nAnswer: p**(-4667\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*u = -6*b - 32, -4*u - 36 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**4\/12 + k**3\/2 + k**2. Let h(f) = -4 + 4*f + 5 + 3 - 2*f. Let l be h(-4). Determine a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 71. Suppose -5*o + 3*o = -2*j - 8, 0 = j - 3*o + t. Which is greater: -26\/9 or j?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {t: 4, e: 1, n: 3, i: 5, s: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 + 14834941*w**2\/6.\nAnswer: -w**2*(w - 14834941)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 6. Let c be r(-6). Put -4, 5, c in descending order.\nAnswer: 5, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3865057 and 518.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 18*j**2 - 30*j**2 + 11*j**2 + 5*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 573952 - 22960461\/40. Let h = u + 267\/5. What is the common denominator of -41\/5 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Is -6*p\/(-12) - -2 - -7 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 40*r**2 - 199*r - 2. Give z(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.10647 and 0.5.\nAnswer: 1.553235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**2 + 2*d**2 + 16*d**2 + 22*d**2 - 8*d**2. Let a(u) = -12*u. Determine p(a(f)).\nAnswer: 5472*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 4. Let o be -3 + 5 + -1 + -1. Let q be s(o). Suppose v - q*v + 12 = 0. Solve c - v = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1584) - (sqrt(1584) + 1)**2*4) + 4 + 1*(sqrt(1584)*-1 - sqrt(1584))*-5 + -5 + -1.\nAnswer: -6341 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -12) + -6 + (-2 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3889 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*x**2 + 3056 + 352*x**5 - 11*x**2 - 2914 - 81*x**5 wrt x.\nAnswer: 16260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -51501 = -883*c - 48852 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8758 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128849054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 26*n**2 - 57*n + 31. Let g(w) = w + 28. Let y be g(0). Let b be h(y). Let j(p) = 2*p**2 - 4. What is j(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1713627, 1713630, 1713633, 1713636, 1713639?\n\"Answer: 3*n + 1713624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 3255?\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/2)\/4)\/(1\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1839083 in decreasing order.\nAnswer: 4, 1, -1839083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2120\/63 - 548\/21. Calculate the common denominator of m and (1\/(-3))\/(1\/(-25)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892 is divided by 415.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 5. Suppose 0 = o - y - 3. Let s(k) = 8751*k - 8. Let l be s(o). What is l rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 12. Suppose -14 = -3*f - 35, -3*y - 38 = 8*f. Solve y*g - u*g = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 941.5 + -941. What is the nearest to 0.1 in -3, d, -1\/7, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216 divided by 2?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 10 = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106887831*p**3 + 63*p**2 + 180*p - 51?\nAnswer: -641326986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-21*s**2 + 2*s**2 + 37*s**2)*(15 + 1 - 7) + (-3*s + 4*s + 0*s)*(2 + 2*s - 2) + 52 - 8*s**2 - 52)*(-2*s + 0*s + s + (2 + 3 - 3)*(0*s - 2*s + s)).\nAnswer: -468*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 12:16 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 24*k**3 - 122 + 62 - 129*k**3.\nAnswer: -153*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 13*i + 12. Let u(l) = l**2 - 1. Let c(g) = -4*u(g) - w(g). What is the remainder when 9 is divided by c(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (771\/514*20\/6)\/(((-1)\/18)\/1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1444 or 5189?\nAnswer: 5189","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 906988839?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/75 - 608\/(-6). Suppose 3*l = -3*u + h, 0 = -4*u + 5*l + 3 + 142. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/23)*d*d*d*d**(-3\/2))**2)**12 assuming d is positive.\nAnswer: d**(852\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -877*f - 594*f + 411*f - 778*f + 75*f as r + v*f and give v.\nAnswer: -1763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7582 and 60210?\nAnswer: 1023570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2712*f**3 + 6658*f**2 - 6660*f**2 + 6445*f**3 as d*f + k*f**3 + p*f**2 + j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 21 (c) -4\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0. Let m = 23.8 - 24. Is m at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/2 + 989*f\/2 - 495 = 0. Calculate f.\nAnswer: -990, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4958*w**2 - 271 + 5*w - 457 - 293 + 255 wrt w.\nAnswer: 9916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 3*u - 15, 3*o - 2*u - 12 = 0. Let t be 8\/(-6)*2\/12. Which is the closest to o? (a) t (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6*v = -21, -5*h + 12*v - 11 = 14*v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1 + d + 0*d + 6. Let v be x(-5). Let h = -1 - 1. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 4*g**2 - 3*g**2. Let b(x) = -2*x**2 + x. Suppose -3*a + 45 = -4*f, 2*f = -a - 11 - 4. Let n be f\/(-27) + 2\/3. Give n*b(k) - m(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 496 = -41*p + 63. What is the remainder when 91 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + -130?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1011100100111101011 (base 2) to base 13\nAnswer: 1038a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1917 and 6745.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3007, -3692, -4377, -5062, -5747, -6432?\nAnswer: -7117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 + 33. Let t be z(0). Suppose -5*f = -5*w + 2*w + t, -2*w - 10 = 2*f. Is ((-4)\/f)\/(5\/195) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -23*p**3 - 35*p - 10. Let h(l) = 11*l**3 + 17*l + 5. Let a(z) = -13*h(z) - 6*o(z). Let w(m) = -m**3 - 2*m - 1. What is -2*a(g) + 11*w(g)?\nAnswer: -g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/18 and -149\/19812690.\nAnswer: 19812690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5\/2, 0, -1, -0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -197\/3, -2, 43, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 4. Let z = 2886 - 2862. What is the remainder when z is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 q, and 1 r when four letters picked without replacement from gggqqgggghqghrhqqq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/9 - (-1 + 0). Let t be (6 + l)\/(12\/8). Suppose -2*n + 5*z + 28 = 0, t*n - 36 = 2*z + 3*z. Solve 4*d - 3*d + 1 = -n*i, 2*i = -d - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -787 - -788.24. What is p rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131433 and 965?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 113\/44 (c) 2.2 (d) 1 (e) -2\/17 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -12\/11, 3\/2, -4.3, -2\/3, -13?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317 not equal to 5245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29081 and 77259.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 141*t + 1 - 68*t - 1. Let v(n) = -2*n**2. Determine v(l(w)).\nAnswer: -81608*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12828464, 12828455, 12828438, 12828413, 12828380, 12828339?\n\"Answer: -4*s**2 + 3*s + 12828465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -29*k - 13. Let w(i) = 82*i + 38. Let r(a) = 17*d(a) + 6*w(a). Let j be r(5). Calculate the highest common factor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 313, 484, 815, 1360?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 8 - 7)*(16*z - z + 0*z - 2*z**3) to t*z**2 + i*z**3 + k*z + x and give k.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 352694866 a multiple of 2671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -19. Suppose -4*m = -4*d + 20, d - 9 = -0*d + c*m. Let g(u) = u**3 - 4*u**2 + 3*u. What is g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/28*(1 + 0). Let z(q) = -q**3 - 2*q**2 + 3. Let b be z(-2). Determine i, given that -2\/7*i**4 - 8\/7 + 6\/7*i**2 - t*i**b + 8\/7*i = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 - 2*l + 2*l)*(7 - 4 - 5 - 4*l) to the form x*l**2 + r + c*l + d*l**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(847)*2)**2 + (3*(-1 + sqrt(847)))**2)*1.\nAnswer: -198*sqrt(7) + 11017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24050 (base 6) to base 3\nAnswer: -11210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120581190 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, n: 7}. Give prob of picking 1 n and 1 h.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2397*o**3 - 24*o**2 + 10022*o.\nAnswer: -14382*o - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-63)\/(-105) + 86*1\/(-10). Let l(b) = 2*b**3 + 17*b**2 + 11*b + 19. What is l(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 2*p + 1. Calculate f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -732.000391 + 732. Round g to five decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 97 (b) 0.25647 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 plus -46748217714?\nAnswer: -46748217581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3245437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19516*s + 645 = -19501*s. Let w(g) be the second derivative of -2\/5*g**5 + s*g - 5\/4*g**4 + 8\/15*g**6 + 4\/3*g**3 + 0 - 1\/2*g**2. Factor w(x).\nAnswer: (x - 1)*(x + 1)*(4*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*3\/6 + 300. Let m = 10 + 38. Suppose 3*h + n = -m + p, n = h - 86. Calculate the greatest common divisor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*f + 228 = -83 - 9. Solve -3*q = -4*a - 8, 2*a + 0 + f = 5*q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517338907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-33))\/((1908\/53)\/(-396))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 12. Put 0, i, 14 in descending order.\nAnswer: 14, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v + 24. Let d(a) = -a - 1. Let c be -3*2\/12*(2 - 0). Let y(z) = c*f(z) - 4*d(z). Let j be y(-5). Is 5\/24 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 h when four letters picked without replacement from ebreerbrhbe.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.7745968 minutes?\nAnswer: 0.04624328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235*a*q**2 + 2*a*q - a - 5*q**3 + 1411*q + 109877 with respect to q.\nAnswer: 470*a*q + 2*a - 15*q**2 + 1411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -62?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*t + 56*t + 88*t + 314*t as o*t + l and give o.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(7\/5)*c)\/(c**(-7\/4)\/c)*(c**1)**(2\/55))\/((c**(1\/2))**(3\/7)*((c**(-1\/6)\/c)\/c)\/c*c*c\/(c*(c*c**(-3)*c)\/c)) assuming c is positive.\nAnswer: c**(23741\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103758 is divided by 20750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3901210 rounded to the nearest ten thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqe. What is prob of sequence qq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 691 - 657.12. Let u = g - 34. What is the fourth biggest value in -5, u, 0.3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 308, 52, -216, -502, -812?\n\"Answer: -f**3 - 249*f + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**3 - 11*t - 64 wrt t.\nAnswer: -9*t**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.7 and 0.91403179.\nAnswer: -1.78596821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z + 265 = 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 - 2*b + 5. Let n be v(-4). Let c = 61 - n. Let l = c - -53. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x - 3*x)*(-7*x**2 - 4*x**3 + 7*x**2 + 0*x**3 - x**3 + 3*x**3 - 5*x**2 + 5*x**2 + x**3 + (6*x**3 - x**3 - 3*x**3)*(0 - 1 + 0) - 8 + 6*x**3 + 8).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:05 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 15 - 150 = 3*m, -4*m = 2*o - 62. What is the lowest common multiple of 6 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*p**3 - 6211188*p**2 + p - 1202418349.\nAnswer: -210*p - 12422376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253413 is divided by 250664.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-182)\/(-90) - 2) + 290\/1450\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b89 (base 14) to base 13.\nAnswer: -86b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187782720?\nAnswer: 2, 3, 5, 43, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74 and -98710.\nAnswer: 7304540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3dce?\nAnswer: -3dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 636?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -21*c - 27. Let u(w) = -2*w**2 + 23*w - 6. Let z be u(11). Suppose -3*r - 2*r + 2 = -p, -5*r = z*p + 40. What are the prime factors of f(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 6. Calculate p(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1. Let r(m) = -8*m + 6. Let b(f) = r(f) - 6*t(f). Let p(o) = 6*o - 5*o - o - o**2. Determine p(b(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(17)*2*6 + (sqrt(204) + sqrt(204)*-2)\/sqrt(12))**2.\nAnswer: 110*sqrt(17) + 2082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50598846*h - 38287132.\nAnswer: 50598846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 22. Suppose -2*z - 50 = -f*i, -2*i - 2*i + 5*z + 59 = 0. Differentiate -i*h**4 - 4*h - h - 13 + 5*h wrt h.\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1 + 97*b**2 - 188*b**2 - 3 + 95*b**2. Let q(c) = -69*c. Calculate q(k(y)).\nAnswer: -276*y**2 + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - ((-130)\/50)\/(7\/(-35)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16260.99761 + 16261. What is q rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1. Let x be 9\/(252\/(-136)) - 3*(-25)\/15. What is the third smallest value in x, r, -23\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdg when three letters picked without replacement from ccpcgsdsgcissd?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + -3 + 1*sqrt(153))*1)**2.\nAnswer: -324*sqrt(17) + 5589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1\/2*y**4 + 0*y + 0 + 1\/2*y**2 - y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1107 = 265. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -4304772.\nAnswer: 215238.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from {q: 7, m: 2, d: 1, h: 4, c: 3}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7421 and 78433.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 24. Let z(s) = 6*s + 132. Let i(l) = -11*v(l) - 2*z(l). Let r(d) = -1154*d**2. What is i(r(b))?\nAnswer: 1154*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(300) + -5 - sqrt(300)*-1*-4)**2.\nAnswer: 1080*sqrt(3) + 8208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -6. Let c(x) = -7*x - 3. Let h be c(b). Solve -5*t - v + 2 = -h, t + v = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -221. What are the prime factors of l?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46575.27ns to hours.\nAnswer: 0.000000012937575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6119*j**3 + 2 - j**4 - 2*j**2 + 2*j**4 - 6118*j**3 to the form p + t*j**3 + r*j**4 + m*j + w*j**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48285818?\nAnswer: 2, 7, 43, 80209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 + (-35619)\/1532.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.06, 273, -1\/4, 5, 115\/3 in descending order.\nAnswer: 273, 115\/3, 5, 4, 0.06, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + -2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 3:49 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, a: 1, x: 2, u: 2}. What is prob of picking 2 u, 1 j, and 1 x?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-2))\/(-5)*2\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 3638728.\nAnswer: 3638728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Determine q so that -3\/5*q**k - 3\/5 - 6\/5*q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -11091336214?\nAnswer: 11091336214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.739 less than 3?\nAnswer: 29.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 2\/135 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -11) + -28 + (-1969)\/(-77)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1135158 (base 9) to base 5.\nAnswer: -124121302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by -1301904.\nAnswer: 11\/162738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3 + 543*j**2 - 541*j**2 - 3. Let s(f) = 12*f**2. Give w(s(g)).\nAnswer: 288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4512623?\nAnswer: 23, 196201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -1011\/10. Let v = -0.56 - -0.24. Let j = v - -2.32. Sort i, 0.3, j in ascending order.\nAnswer: i, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-4\/7)\/h*h)*h\/(h*h*h**(-7)*h))\/(h**(-5)\/h*h**1) assuming h is positive.\nAnswer: h**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (204 - 154) + (-7 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39*4074.\nAnswer: 1588.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45 + 41*t**3 - 29*t**3 - 12 wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4365, -17804, -40211, -71592, -111953?\n\"Answer: -r**3 - 4478*r**2 + 2*r + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9171, -3572, 5 in decreasing order.\nAnswer: 5, -3572, -9171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001351294 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 21*c + 109. Calculate x(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.2 + 8. Let y be (-4)\/(3\/6*1). Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*z - 5*x - 2, -3*x - 28 = 2*z. Does 21 divide (-11 - z)*(-71)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 - 181910*n**2\/3 - 1455184*n\/3 - 2910304\/3.\nAnswer: -2*(n + 4)**2*(n + 90947)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*i, -76 = 5*k + 2*i + 2*i. Let v be k\/14 + 12\/14. Suppose -22\/7*b**3 + 26\/7*b**2 - 26\/7*b**4 + 10\/7*b**5 + 12\/7*b + v = 0. Calculate b.\nAnswer: -1, -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 16\/5, 3, 0.04, 0.8, -63?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/191, -134, 2, -2\/7 in descending order.\nAnswer: 2, 4\/191, -2\/7, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 6*i + 17. Let q be z(6). Suppose q*o - 24 = 27. Suppose -4*f = -2*t - 78, -4*f - t = -o*f - 24. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32188 + -19407. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/7*(-756)\/(-72).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 244163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 4. Let h be s(0). Let b = h - -93. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c - 2. Let v be d(-5). Solve -2*a = -v*o + 2*o, 4*a - 14 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 + 24 = 0. Suppose 2*z = -u + 72, -6*u + 4*u - t*z = -145. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 65*r - 114182 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*s**3 - 12 + 28*s**3 - 43*s**3 - 2*s + 2*s + 2*s to the form z*s**3 + t*s + c + x*s**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 52 = -14*w + 9*w + 14, 973*w + 2*d = 970*w - 23 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195476, 195608, 195736, 195860, 195980?\nAnswer: 196096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 69*p + 79*p - 86, -p = -3*q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544104 (base 11) in base 7?\nAnswer: 31306132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:29 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179\/3 - 59. Let c = -0.02 - 0.38. What is the smallest value in c, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 117\/12*(-12)\/(-3). Suppose f = -v + 4*v - 2*x, -2*v - x = -26. Suppose 0 = -7*h + 22 + v. Calculate the smallest common multiple of h and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-9 - (-6 + -8 - -9)) + -12).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26472431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363739860.\nAnswer: 2, 3, 5, 11, 183707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -73966*i - 739653. What is a(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -97, -12, 169, 452, 843?\nAnswer: 1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13638593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-238))\/((-148)\/(-48) - 3)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-35))\/((-20)\/100).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 13*f - 32. What is the lowest common multiple of m(7) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11488576543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 2*i. Let b(w) = -w**3 - w**2 - w - 2. Let o be b(0). Let s = o - 5. Let z(m) = m**2 - 5*m**2 - 5*m - 5*m**2 + 0*m. Give s*p(n) - 3*z(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**5 - 5*n**4 - 9*n. Let b(m) = -m**5 - 4*m**4 - 8*m. Let u(z) = -5*b(z) + 4*q(z). What is the second derivative of u(s) wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 6 = 5*h, -8*h + 12*h + 8 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2241 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**4\/12 - z**3\/2 + 3*z**2\/2 - 2*z. Let m be w(-3). Solve -3 = -0*r + m*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1785876 to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14960 and 40970.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2928480407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9625 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*q - 23*q - 78246. What is the remainder when q is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 91*i**3 + 135*i + 14. Let a(o) = -45*o**3 - 68*o - 6. Let l(p) = -7*a(p) - 3*x(p). Find the second derivative of l(b) wrt b.\nAnswer: 252*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 329*p**2 + 28629*p + 518. Calculate t(-87).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 570836 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + n + n, 0 = r + 5*n. Suppose r*s = s - 5*q, q = -s - 6. Let u = 19 + s. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422, -4874, -7340, -9826, -12338?\nAnswer: -14882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-15 - (33 + 14)) + (20 - 4)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n - 36. Let b be i(-6). Solve 0 = -4*j + b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9942635 to the nearest integer?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 207*q**5\/10 - 1277*q**4\/12 + 366*q + 2. Find the third derivative of n(j) wrt j.\nAnswer: 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1414 = 18*i + 1630 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2021000223 + 10?\nAnswer: -2021000213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:52 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4478 and 90.\nAnswer: 201510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 30, 54, 84, 120?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1347369, 2694928, 4042485, 5390040, 6737593, 8085144, 9432693?\n\"Answer: -r**2 + 1347562*r - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i*i**(-7\/3)*i)**(-25)*i**(2\/9)*i\/(i*i*i\/(i*i*i\/((i**(-5)*i)\/i*i))*i)*(i\/i**(-2\/9))\/((i*i**(-1\/9)\/i)\/i*i*i) assuming i is positive.\nAnswer: i**(2366\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (347*k - 870*k + 355*k + (3 - 4 + 0)*(k + 0*k - 3*k) - 2*k - k + k)*(-k + 7*k - 4*k).\nAnswer: -336*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6764?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:14 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1084, -1182, -1300, -1438, -1596, -1774?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -26. Suppose s*w + 17 = 4*w. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b**2 - 3*b. Let m(d) = -671*d**2 + 143*d. Let x(i) = -286*c(i) - 6*m(i). Let n(l) = l**2. Calculate n(x(k)).\nAnswer: 484*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -26*y - 7. Let p(n) = 1. Let s = 45498 + -45503. Calculate s*p(c) - b(c).\nAnswer: 26*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131781, 131839, 131895, 131949, 132001, 132051?\nAnswer: 132099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 1114.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1047 (base 9) to base 15.\nAnswer: -367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12391985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1216788 (base 12) to base 16.\nAnswer: 35a5d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(0\/3 - -2). Suppose a = -0*s + 4*s - 56. What is the smallest common multiple of s and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*s - 1)*(-s + 12*s + 14*s).\nAnswer: -100*s**2 - 25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 151520891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -81, -207, -441, -819, -1377, -2151, -3177?\nAnswer: -4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 2*t + 12, 4*m - 28 = -10*t + 15*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 + 256. Let q = u + -182. Let p = -377\/5 - q. Is p at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(2 + sqrt(1008)*-2 - (-5 + 1 + sqrt(1008)))**2.\nAnswer: -1728*sqrt(7) + 36437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 3. Let c(w) = -8*w - 20. Suppose 4*a - 15 = 5*v + a, -2*a + 12 = -4*v. Let h(q) = v*c(q) + 20*d(q). Let g(b) = 5*b**2. Give g(h(j)).\nAnswer: 80*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Add -17019 and -0.0267318.\nAnswer: -17019.0267318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.06 (b) 0.031 (c) -0.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (364\/35)\/(-13)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 3*y + 14 = 17*q, 5*q = 3*y + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342182661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*n - 0*o - 5*o, -3*n = 2*o + 14. Let v = 15 + -10. Let y = v - n. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*l + 3*l**2 + 4*l + l + (0*l**2 - 2*l**2 + 4*l**2)*(2 - 1 + 0) - 5*l**2 + 10*l**2 - l**2.\nAnswer: 9*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13758903 is divided by 43958.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.385 times 2?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92\/45 - -22\/9. Suppose o - 6*o = -30. Let s = 8 - o. Which is the nearest to s? (a) y (b) 1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1 + m - 1. Let v(h) = 5*h + 6*h - 15*h. What is w(v(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 14*z - 256 = -16*z + 36*z for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/18960)\/((-9)\/(-3))*-5\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 33460\nAnswer: -33456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*r**3 - 97*c**2*z - c*r**3 - 17*c*r*z + 2*r**2*z - 4*r*z wrt c.\nAnswer: 6*r**3 - 194*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 + 18*t**4 + 48*t**3 + 40*t**2.\nAnswer: 2*t**2*(t + 2)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 10*b - 9. Let n(w) = -w**2 - 31*w + 26. Let s(m) = 3*n(m) + 8*t(m). Let u be s(3). Solve 0 = -4*r + u, -3*k + 3*r = -2*k + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.334798775 and 0.1?\nAnswer: 0.0334798775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 26 = o + 4*o, 2*n + 20 = -4*o. Let w(b) = -b**2 - 5*b - 7. What is w(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqqeqqqqqeq. Give prob of picking 1 e and 2 q.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:32 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20895986 is divided by 27315?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:16 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 21835*a = 21837*a - 2, 0 = 5*t + 4*a + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35737 - 35736.9. Which is the third biggest value? (a) -4599 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 + 13*n - 6. Let c(w) = -w**2 + 7*w - 3. Let d(b) = -5*c(b) + 2*t(b). Let j be d(-9). Solve -5*f + j*f - 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 785 - -665. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-30))\/(6\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.999889425 rounded to 4 dps?\nAnswer: -1.9999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.19. Let v = -0.627 + 0.227. Which is the third biggest value? (a) v (b) 2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) 8\/3 (c) -0.3 (d) -8\/5 (e) -2\/3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(-10*l**3 + 1 - 1) in the form g*l + m*l**2 + v*l**3 + d and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380860846*s - 2*s**2 - 380860846*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 54, -136, -412, -804, -1342, -2056, -2976?\nAnswer: -4132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5563416*g**4 - 18588103*g**2 wrt g.\nAnswer: 133521984*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:53 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141657 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -882*s + 884*s - 22, -s - d = -11. Let f = -0.3 - -1. Let x = f + -1. Which is the third biggest value? (a) x (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 9*c + 1. Let l be v(-9). Let m = l - -3. Solve -m*s + 9 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7926 divide 1572275358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 231bd - -4?\nAnswer: 231c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 greater than 17016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = m - 10, -3*a = -6*a - 5*m + 16. Let d = 10 + a. Suppose -11*k = -12*k + d. What is the highest common factor of k and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1296240 and 74910.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019285 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:31 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36874, 73647, 110338, 146953, 183498, 219979, 256402?\nAnswer: 292773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5, -a = -0*a - 2*l. Calculate the remainder when 8\/10*(-135)\/(-6) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/4 - (-9 + 297\/36). Which is smaller: 162\/13 or o?\nAnswer: 162\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -2060?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1619 and 0.3.\nAnswer: -485.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + -352?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:08 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*5170405\nAnswer: 15511215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**4\/3 + 56*q**3\/3 + 4*q**2\/3 - 56*q\/3 = 0?\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((3*sqrt(84))\/sqrt(7)))\/(sqrt(9)\/sqrt(3)*-6 - (sqrt(108) - (sqrt(108)*-1 + sqrt(108)))).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-609)\/(-119) + 2\/(-17). Let o(f) = 10*f - 36. Let c be o(v). Solve c*a = -a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*x - 107, 2*a - 4*x = -3*a + 210. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 369136, 369128, 369118, 369106, 369092, 369076?\n\"Answer: -i**2 - 5*i + 369142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -12, -3, 0.039, 2, 434?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21665187.\nAnswer: 3, 19, 31, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2055, 2056, 2057, 2058, 2059?\nAnswer: 2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 + 76*d**2 - 50*d - 1865. Calculate h(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from almamanlaial. What is prob of picking 1 a and 2 l?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7 - -3) + 5)*-1. Which is smaller: z or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(285)\/sqrt(5))\/(sqrt(15)\/(sqrt(5)*1)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9224692073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/4 + 24949733*n\/2 - 622489176771289\/4 = 0.\nAnswer: 24949733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-165*o - 326*o + 12*o)*(-1 + 4 + 0) as g + r*o and give r.\nAnswer: -1437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w)*(-w + 17123 + 21*w**2 + 15*w**2 - 17310).\nAnswer: 72*w**3 - 2*w**2 - 374*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001789849 to seven decimal places.\nAnswer: 0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 2 + 13*x**2 - 12*x**2 + 1155*x - 5.\nAnswer: -2*x**2 + 1155*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6309684 minus -0.5?\nAnswer: -6309683.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -76, -60, -60, -82, -132, -216, -340, -510?\n\"Answer: -a**3 - 2*a**2 + 29*a - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + ((5*sqrt(200)*2 + -5 + ((sqrt(200) - (sqrt(200) + 1)) + -2 - (1 + sqrt(200) + -1)))*5)**2.\nAnswer: -36000*sqrt(2) + 406598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + -19 - 290\/6. Let y = f + 47. Sort -1, y, 1\/7 in increasing order.\nAnswer: -1, 1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2 + x - 5. Let f(o) = 7*o**2 - o + 4. Calculate -3*f(i) - 2*z(i).\nAnswer: -5*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 17*g - 30. Let u(n) be the second derivative of 1\/12*n**g + 0 + 0*n**3 + 0*n**2 + 4*n. Let c(f) = f. Give c(u(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) -2\/21 (b) -0.025 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -49.21343.\nAnswer: -45.21343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -803790*j*n**4 - 131362*j*n + 3*n**2 wrt n?\nAnswer: -19290960*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -205 in ascending order.\nAnswer: -205, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 110, 503, 1356, 2843?\n\"Answer: 29*n**3 - 31*n**2 - 3*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 c when three letters picked without replacement from wjgrrrbcrcwcccb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1984 is divided by 273?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 11, -2\/5, 0.16, -120?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 985699.3 millennia?\nAnswer: 98569930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298.2 + 298. Which is the smallest value? (a) n (b) 0.09 (c) 2\/13 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7205 + 7?\nAnswer: 7213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -26233430 greater than -26233429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120\/147*48*(-11)\/(-176)*14\/4?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 11:55 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46573711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423661, -847227, -1270799, -1694377, -2117961?\nAnswer: -2541551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16031553 divided by 5.\nAnswer: 16031553\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 3*b + 13. Let y = -12 - -19. Let k(h) = -h + 4. Determine y*k(a) - 2*t(a).\nAnswer: 2*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.9 - -105.9000272. Round j to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 11*t + 125. Is (11 - (-183)\/(-15))\/(t\/10310) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1155022?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 - 17. Suppose w = 2*k - 10. Let t = k - 56. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70836, -566613, -1912292, -4532823, -8853156, -15298241, -24293028?\nAnswer: -36262467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -76, 0, -2, 1.\nAnswer: -76, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/6*(621288\/77658 + -8). Let m = 86917\/12943 - k. Let r(b) = -40*b**2 - b + 1. Find the common denominator of r(1) and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**3 - 72*l**2 + 3*l + 3. Let p(q) = -11*q**3 + 71*q**2 - 4*q - 4. Let n(d) = 3*p(d) + 4*w(d). What is the third derivative of n(u) wrt u?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 13523?\nAnswer: -13520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 865822739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2493*o + 45179 + 59527 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27825652.\nAnswer: 2, 19, 366127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a + 142. Let n(t) = -3*t - 72. What is -5*n(x) - 2*s(x)?\nAnswer: x + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 + -128.000000048. What is d rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 576 - 576. Solve 0*z + 7*z + 14 = f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*(-4 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -327, -656, -989, -1326, -1667, -2012, -2361?\n\"Answer: -2*t**2 - 323*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*c**5 + 4*c**4 - 394797*c?\nAnswer: -2540*c**3 + 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -6.4251028?\nAnswer: -25.7004112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3.9, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*h - 287, -5*h - 254 = -3*k - 25. Suppose 0 = 2*m - 4 - 60. Suppose z + 26 = 5*j - k, m = 2*j + z. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**2 - 3*s - 1. Let x be j(-2). Let i = 2 - 0. Suppose i*u - 9 = x. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-27)*(-16389)\/(-15175)\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3) + 1)**2 - sqrt(3)*-1*3.\nAnswer: -5*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 * 0.02.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (7 + -14)) + 92 - 21?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13925*o. Let s(r) = -18*r. Determine s(y(x)).\nAnswer: -250650*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17736 - 8859 - 8877 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + 20\/6. Let l = -67 + 70. Solve f + 1 = -r*n + 2*f, -n - l*f = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(140)*-1*-3)\/sqrt(7))\/(sqrt(20)\/(sqrt(162)*-3)))**2.\nAnswer: 13124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 20, 2*i - 22*h + 19*h - 23 = 0. Let o be 4*2\/(24\/(-15)). Which is the second biggest value? (a) 0 (b) o (c) i (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 51 = 98381*a - 98378*a, 2*p - 71 = 5*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 7637847.\nAnswer: 22913541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1842.\nAnswer: 1\/921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 235821587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*h - 2*w, 2*h - 7*h = w - 30. Solve -h*j + 2*z - 16 = 2, -3*j + 3*z - 9 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*q**2 - 61*q**2 + 119*q**2 - 3*q**3 - 9*q.\nAnswer: -3*q*(q - 3)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from hhhhhihhhhhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -259\/6. What is the second smallest value in 5, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1*d**(-2))**(-12)\/(((d*d**5*d)\/d)\/(d*d*d**2)*(d**(1\/3))**6) assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 65963*y**2 + 527697*y\/4 - 395775\/2.\nAnswer: (y - 1)*(y + 3)*(y + 263850)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 844245 or 844177?\nAnswer: 844245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -1\/42*t**8 + 0*t**7 + 0 + 0*t**6 - 5\/12*t**4 + 0*t**5 + 0*t**3 + 0*t + 11*t**2. What is the second derivative of s(z) wrt z?\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*b - 9 + 32, 0 = 5*k + b. Solve 0 = 4*v - 2*z - 6, v - k = -0*v + z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 + -510927?\nAnswer: -510887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -1f044?\nAnswer: 1f044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1219513 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 1. Let v(d) = -4*d**2 + 7*d - 3. Let c(o) = 5*l(o) + v(o). Let a be c(-8). Solve a = 5*f, w - 6*f + f + 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 5*r + 2. Let q be t(-3). Find the first derivative of -7 - 2 - q*v**2 + v**2 wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406\/(-348) - 35\/(-14).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -389\/935 + 3\/187. Which is the biggest value? (a) -7 (b) s (c) -1\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16142 + -16141.3. What is the closest to -2 in -10, 2, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 1)*(-188*n - 5216*n + 9561*n) to i*n + x and give i.\nAnswer: 4157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3041344917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1*s**(3\/4)*((s**(1\/6)\/s)\/s)**(7\/11) assuming s is positive.\nAnswer: s**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(1053) + -5 - (4*sqrt(26)\/sqrt(2) - (sqrt(52) + sqrt(260)\/sqrt(5))\/sqrt(4))) + -5.\nAnswer: -20*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*((-1)\/(-2) + -1). Let v = -24 + 46. What is the remainder when v is divided by 6\/(c - 3\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9282459 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 + -11.7. Let d = l - -14.8. Which is the closest to d? (a) 0.5 (b) -3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let s = 1.1 - v. Suppose -3*u + 0 = 12, -5*l = 4*u + 21. Which is the closest to -1? (a) l (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.86 + -4. Let v = -0.04 + -0.04. Let f = w - v. What is f rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5967 by -3.\nAnswer: -1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86457 is divided by 715?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*f + 761*f + 14935 - 13025 - 42102 for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by (29 + 266\/14)\/((-6)\/(-8))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*t - 13, 4*d - 5*t - 17 = -8*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y**2 + y + 0*y**2)*(0 + 0 + y**2 + (0*y - y - y)*(-4 + 4 - y) - y**2 - 2*y**2 + 2*y**2 + 2*y**2 + y**2 - 2*y**2).\nAnswer: -6*y**4 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 8*k**6\/15 + 28*k**5\/5 + 99*k**4\/5 + 388*k**3\/15 + 34*k**2\/5 - 48*k\/5 - 73. Solve h(s) = 0 for s.\nAnswer: -4, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 2*k**2 - 13*k - 9*k**3 + 1 + 11*k. Give b(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 0*a + 29 - 1\/2*a**2. Let c(n) = 26*n - 2. Give c(i(l)).\nAnswer: -26*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/48213552 and 133\/12053388.\nAnswer: 48213552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o = 24*o - 384 - 227 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -w, 3*x + 4*w = 38. Suppose -4 = -2*n + x. Suppose 5*k + 3*c - 55 = 0, -5 = -n*k - 2*c + 50. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111.999999292 - -112. Round u to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12016 + 15232. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*c - 3*u, 2*u = -3*c + 1 + 26. Let w = 9 - c. Let s(i) = 9*i**2 - 6*i + 2. Let p be s(w). What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8702?\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -109 + 4?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-18)\/(-105))*(1008\/70)\/18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4931596 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 87 - (1998 + -2087)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 62, -885, -3 in increasing order.\nAnswer: -885, -3, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, 42, -248.\nAnswer: -248, -4, -2, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 - a**2 - a + 1. Let h = 0 + -2. Let q be w(h). Suppose -3 = 4*p - q. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-13)\/o)\/o)\/(o*o*o**(3\/5)))**(-34))**(-9\/14) assuming o is positive.\nAnswer: o**(-12699\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 656 and 22?\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1036908*k**2 - 2043365*k?\nAnswer: -2073816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226499632 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 87.9 and 16.\nAnswer: 103.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*j - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.012, 1, -0.2, 45, -0.3, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 8*i + 5. Let z = 66 - 60. Let f be s(z). Let y(d) = 4*d - 11. Let m(r) = -6*r + 16. Give f*y(t) - 5*m(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187408, -186909, -186412, -185917, -185424, -184933?\nAnswer: -184444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825807?\nAnswer: 31, 58897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = j - 4*j, -13 = -5*a + 4*j. Let c be (2 - (5 + -2))*(-8)\/4. Solve -m = a*g + 17, 0 = c*g + m - 4*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/36*(-1768)\/117 - -6.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*553.7\nAnswer: 110.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from {u: 7, f: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5 - 4*t + 3*t + 3*t. Let k(v) = 4*v + 9. Let w(y) = y - 16. Let p be w(7). Let i = p + 15. Determine i*k(s) - 11*o(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/1*(-305)\/(-183).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223, 0, 13, -3, 5, -4 in ascending order.\nAnswer: -4, -3, 0, 5, 13, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6146 times -19.4\nAnswer: 119232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12 - 36 = 0. Let r be z\/(-9) - 119\/(-84). Let f be 1 - -2*2\/(-8). What is the third smallest value in f, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:04 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 32241.\nAnswer: 7\/2931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*u - 1764 = 236*u + 1772 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.9 - -13. Let z = 6 - 7. Let i(h) = -3*h**2. Let m be i(z). What is the third smallest value in 1\/2, m, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -1 (c) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 514, -1 in increasing order.\nAnswer: -2, -1, 4, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b**2. Let t(p) = -48*p + 5. Let d(y) = -24*y + 3. Let j(r) = -5*d(r) + 3*t(r). Give j(k(h)).\nAnswer: -384*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5)\/18 + (-5)\/(-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*r**3*v**3*w + 2*r**3*v**3 + 8*r**3*v**2 - r**2*w - 3*v**3 + v**2*w wrt v.\nAnswer: -132*r**3*w + 12*r**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 88527.38 tonnes?\nAnswer: 88527380000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3240 = 16*s - 26*s. Which is smaller: s or -323?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 times 475?\nAnswer: 347225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 75 - 165 = 181*t. Is -6\/523 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:32 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9 + 4*s + 10 - 3*s - 8. Calculate x(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {m: 2, h: 17}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 6030.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from lllllskuelkukl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89\/15768 - 3\/292. Let m be (-103)\/(3 + -1087 + 2 + 2). Let u = m - r. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(159 + -9) - (-572504)\/15 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 + 3490*m**2 + 498995*m + 495510 = 0. Calculate m.\nAnswer: -498, -199, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 1500.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 10 = -2*h - 12*a, -2*a + 4 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y + 47*y = -2460. Let k = -205 - y. Solve 17 = -m + 3*r, -r + k = -4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g - 5. Let v(t) = t**3 - 67*t**2 - 433*t - 341. Let k be v(73). Let i be (-61)\/k + (-10)\/g. Which is bigger: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2\/5 + 210154*g\/5 + 210156\/5 = 0. What is g?\nAnswer: -1, 105078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 138 = 5*x - 5*r, -1 = r. Suppose -5*i + p = -10 - 1, -x = -5*i - 3*p. Factor -2\/7*l**i - 6\/7*l**2 - 6\/7*l - 2\/7.\nAnswer: -2*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -3) + (-20)\/(-2). Let -70*n**2 + 2 - 4 - 2*n + g - 6*n = 0. Calculate n.\nAnswer: -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35168, 35165, 35162, 35159, 35156?\n\"Answer: -3*t + 35171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9435.403 + 398.\nAnswer: -9037.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*(-16)\/6\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4824725?\nAnswer: 5, 59, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 230, 4, 112, -4, 1 in decreasing order.\nAnswer: 230, 112, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7)\/t)**(-1\/4)*t\/t**9*(t\/t**(-2)*t)\/t assuming t is positive.\nAnswer: t**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 0)*(-3*g + 6*g - g) - 2*g + 2*g - 2*g)*(-2*g + 9*g - 1 + 30*g) + (-g**2 - 3*g**2 + 2*g**2)*(2 - 1 - 2) as u*g**2 + v + l*g and give u.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269463?\nAnswer: 3, 89821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 + 1. Suppose -339 + 389 = 50*r. Calculate j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 - 2113*i\/5 + 51326\/5 = 0.\nAnswer: -2333\/10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001598 to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:49 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547 + 578. Suppose -22833 = -90*w + q*w. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 - -5. Let o = 0 + -1. Let x = -2 - o. What is the nearest to -1 in -1\/5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 14 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 11 = -2*m, 5*n + 37 = 2*m + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5652323, 11304567, 16956811?\n\"Answer: 5652244*s + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/(0 + -48) + 386\/12 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, n: 2, q: 1, y: 5, k: 5}. What is prob of sequence zy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.52 times -8377?\nAnswer: -88126.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l. Let p(a) = 7925 - 15862 + a + 7909. Calculate n(p(z)).\nAnswer: -8*z + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.00861 + -10.50939. Let v = s + 0.118. Let y = v - -10.3999943. Round y to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 + 9*j**2 + 6*j + 4. Let z(x) = -14*x**3 + 27*x**2 + 18*x + 12. Let n(t) = -11*m(t) + 4*z(t). What is the units digit of n(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by -17 + 41 + 1\/(2\/(-10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 43*c - 46*c. Put 5, c, -5 in decreasing order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrr. Give prob of sequence xr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2668\/3 - 882. Is w > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225156.56*2\nAnswer: -450313.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (7 - (-15 + 3 - -3))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*z = -632*z - 329 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.3, -0.4, -2\/7.\nAnswer: -8, -0.4, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - b - 2*b - 27, 0 = -2*p - 2*b + 42. Let v(w) = -w + 11. Let o be v(p). Let d = 15 - o. Calculate the highest common factor of d and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(2\/12)\/((-1)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 57563507.4.\nAnswer: 57563503.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 30897042.53 to the nearest one thousand.\nAnswer: 30897000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 3*p + 204. Let f be 2\/6 - 101\/(-3). What is the highest common divisor of p and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 525400, 1050946, 1576494, 2102044?\nAnswer: 2627596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 36, 4, -5 in ascending order.\nAnswer: -5, 0, 4, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -k + 2. Let y = -62 + k. Suppose y*t = t + 1108. What are the prime factors of t?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 11 - 4. Calculate the highest common divisor of w and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*f**2 + 7*f - 121*f**2 - 17 - 14.\nAnswer: -200*f**2 + 7*f - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1332*r - 1. Let d be q(-1). What is the common denominator of 0\/(-1) + d\/(-110) and -49\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/8)\/((-20)\/(-6)))\/(16\/(-20))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3, -4*y + d = -0*y - 19. Let w be -3*(-1)\/(6\/y - 1). Let o be w\/(-6)*(-24)\/20 - 2. Is -2\/13 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -1\/6*j**3 + 1\/2*j**2 + 1\/12*j**4 + 0 + 2*j. Let q(y) = 4*y**2 - 6*y + 4. Determine 6*g(v) - q(v).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1744 and 5016.\nAnswer: 1093488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-3)\/27*-6. Sort -2, -1, p in descending order.\nAnswer: -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let w be 2*1\/(1\/(-10)). Let s be (4 + -8)*2\/w. Is i greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {g: 2, v: 6, e: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -20123507.\nAnswer: 5\/20123507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -75*m**3 - m**2 - 2*m - 1. What is the tens digit of v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.3? (a) 2\/13 (b) -0.9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 5 (b) -2 (c) 42321.3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3350\/(-4)*(-873 - 191). What is z rounded to the nearest 10000?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbl when three letters picked without replacement from {b: 4, i: 7, l: 6}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20121 - -3?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/((-14)\/(-5)))\/((-60)\/(-1296)))\/(42\/4).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607871 is divided by 2036.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/2 + 22644\/(-222).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/15 - 116*m**2\/15 + 558*m\/5.\nAnswer: 2*m*(m - 31)*(m - 27)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzxzyyy. Give prob of sequence zz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9073 + -88658?\nAnswer: -97731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 890.1 + -44638.\nAnswer: -43747.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 5*z**3\/3 + 240*z**2 + 1395*z + 6774. Factor q(h).\nAnswer: 5*(h + 3)*(h + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.204 + -18017.\nAnswer: -18017.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-8) - 3) + 2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 15*a**3 - 3*a**3 + (-a**2 - a**2 + a**2)*(-6*a + 3*a + a) in the form b + x*a**2 + h*a + p*a**3 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661.518 days in milliseconds?\nAnswer: 575555155200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 8. Suppose d = m + 4*v + 1, -2*m = -4*v + 36. Let g be ((-28)\/35)\/(2\/m). Calculate the greatest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**4\/24 - x**3\/6 + x**2 - 84*x. Let u(y) = -y + 2. Determine 4*n(s) + 2*u(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 h when four letters picked without replacement from whhwwhhwwhwhh.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (361\/114)\/(2\/10) and -61\/76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 818217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 1 - (1 + 1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 57. Let j(y) = -35*y**3 + 9*y**2 - 6*y. Let t(f) = 18*f**3 - 4*f**2 + 3*f. Let a(z) = p*j(z) - 9*t(z). Find the second derivative of a(g) wrt g.\nAnswer: -132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 557 = -56*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4))**16\/(q*q\/q**(-8\/7)*(q\/q**(-12\/11))\/q) assuming q is positive.\nAnswer: q**(-4022\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 - v**2 - 10*v - 3. Let f(b) = 6*b**3 + 14*b + 1. Let y(n) = 4*f(n) + 5*k(n). Calculate y(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0856706 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let b(y) be the third derivative of -y**4\/12 + 2*y**3 - 23*y**2. What is c(b(r))?\nAnswer: -8*r**2 + 96*r - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-320*l**2 + 621*l**2 - 319*l**2)*(2*l**2 - 2*l + 2*l).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/32680 and 119\/3040?\nAnswer: 130720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 95*f**2 - 218*f + 438*f - 218*f.\nAnswer: 95*f**2 + 2*f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 7. What is the remainder when 52 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 118676000 to the nearest one hundred thousand.\nAnswer: 118700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = -4*x. What is the smallest common multiple of x*(0 + 1) - -8 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 40*p + 76. Give i(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/90821 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 7*s**2 + 7*s + 9. Let q be r(-6). Suppose 12 + q = 3*n, 3*n + 1 = 4*t. Solve -t*p = 2*l + 10, 7*l - 4*l - 4*p = 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295 divided by -85?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1842582 and 219355.\nAnswer: 9212910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3337?\nAnswer: 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4.6. Let r = -3\/37 - -101\/333. Let k be 123\/2501 - 5940\/9150. Which is the smallest value? (a) k (b) r (c) v (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*o - 804 = 475*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425.0499cm to micrometers.\nAnswer: 4250499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14.5. Let s = -0.7 - 0.3. Which is the closest to s? (a) -2\/17 (b) -1\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2) - 31\/(-1). Let j be 0 + 1 - l\/34. Let w = 6 - 6. Put w, -0.5, j in decreasing order.\nAnswer: j, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*r = -18*r + 213342 - 231942 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 323*u + 328*u + 43, -u + 145 = 3*j for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -24?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 868074149 to the power of 1\/2, to the nearest integer?\nAnswer: 29463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -3*i, 2*r - 3*i = 9. Let a(m) = -4*m + 1. Let u = 233268 - 233273. Let p(j) = -7*j + 2. What is r*p(v) + u*a(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*v = 6, -539867*d - 3*v + 2 = -539871*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h + 48 = 0. Suppose 5*v - 11*y - 20969 = -7*y, 0 = -4*y + h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 - 66 = 5*x. Suppose 0 = 4*a - 15 + 7. Calculate the remainder when x is divided by 1 + -3 + a + 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158412041 to the nearest ten thousand.\nAnswer: 158410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 21*w + 15. Let p be f(-11). Solve 5*v - 22 = 3*o, 4*o + p + 6 = -3*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14205\/638 + -247\/11. Calculate the common denominator of g and 55\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153842602?\nAnswer: 2, 76921301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 201762 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162847 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55*21\/1848)\/(((-14)\/12)\/((-224)\/24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 87 - 68 + 95 = 5*s, 0 = 2*q + 10*s + 140 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or -1129727?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 2*i**2 + 2*i**2)*(7 - 9 - 54).\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 421*x**3 - 2*x**2 + 1. Let m be u(1). Let y be 1\/(3\/(4 + 20)). Suppose y*p - p - m = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 70067.\nAnswer: 1611541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -809 + 760.2. Let o = f + 46.924. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f - 5. Let x(h) = 21*h + 9. Determine -7*b(c) - 3*x(c).\nAnswer: 28*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) -3 (b) 0.3 (c) 4 (d) 145 (e) 405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 4590*j + 4591*j - 2.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y, -5*p = -0*p - 2*y - 14. Suppose -4*u = -5*x - 210, 4*x + 177 - 9 = -p*u. Which is bigger: -2\/3 or x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 2*v - 61000. Let x be r(0). What is x rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9952 + -0.0498. Let i = -0.045 - r. What is the third biggest value in 3\/5, -0.3, i, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 + 237. Solve -1 = 2*g + 3, 4*w - z*g = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keke when four letters picked without replacement from eeggekecceceegggk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 33.922. Let u = 40.922 + p. Let w = u - 41.53. What is w rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 12*g**2 - 2*g + 13. Let y be r(6). Suppose 4*f + 16 = -0*f. Sort -5, f, y in descending order.\nAnswer: y, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v\/(v\/(v*v**(-33)*v)))\/v)\/v)*v**(-7\/10))\/((v**(-32)\/v)\/v)**(3\/25) assuming v is positive.\nAnswer: v**(1869\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4344236 - 4343921 = -5*a, 0 = a + 3*a + 12 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1103 + 14?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 403 or 6052\/15?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 97 times -242\nAnswer: -23474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223.8 - 224. Sort o, 2, -3 in increasing order.\nAnswer: -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-654)\/(-1417)*(-52)\/(-18) - (-4)\/6. What is the highest common factor of u and 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 244 + 538 = 0. Calculate the smallest common multiple of 8 and r.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/20 and 107\/370.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 970 divided by 485.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3)*(-3)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*p - 26*p + 226*p - 1 - 194*p - 1.\nAnswer: -186*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1514272 = -5*f + 3*f, -3*a - f = 2271412. Let t = -1497138 - a. Round t to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193703.9 minus -4?\nAnswer: -193699.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6315 = 8*f - 4285. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) + (-4)\/(-2 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*v - 34, 0 = -4*i + 2*v - 5 - 31. Let g = 64 + i. Suppose -g = 31*t - 32*t. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -13. Let c be 0*(-7 + 4)\/(-9). Suppose 0 = -3*k - 0*k - 4*a + 11, c = 4*k - 4*a - 24. What is the greatest common divisor of f and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3648 = 62599*z - 62713*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(28) + -4.\nAnswer: -4 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -97346 (base 10) in base 4?\nAnswer: -113301002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3457 * 0.1.\nAnswer: -0.13457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -564239360 divided by 24704\nAnswer: -22840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxoxxxoxxxxxxxxx. Give prob of picking 3 x.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4 + 235*g**3 + 1290*g**2 + 560*g - 2080 = 0. Calculate g.\nAnswer: -4, -2, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 5:07 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-51))\/((-5)\/(-1)*(-18)\/405)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((-16 + 4 - 4) + 239 + -226).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/120 - 89*j**4\/48 + 15*j**3\/2 + 2*j**2 + 425. Suppose u(g) = 0. Calculate g.\nAnswer: -90, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341.2 + 341.18821. Round f to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 5. Let j(u) = 1. Let s(f) = -6*f - 18. Let r(y) = -4*j(y) - s(y). Determine 6*r(o) - 17*x(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:58 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25569 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13303 is divided by 114.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101.5 - 101.8. Which is the nearest to -1? (a) 4 (b) 11 (c) 0 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -7*s**5\/30 - s**4\/24 - 14*s**2. What is j(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -108. Suppose -1026 = 23*f - g*f. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -133a09 - -2?\nAnswer: -133a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.13*-0.15.\nAnswer: 1.5195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -3)*3)**2 + ((-4*sqrt(156)*-3)\/sqrt(12))**2.\nAnswer: -594*sqrt(13) + 16110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59604 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7414 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*b - 1 = 7, 15 = -3*b. Let s(c) = -c**2 - 4*c + 3. Let o be s(q). Suppose 14 = -o*p + v + 78, 3*v + 45 = 2*p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5011 + -60193\/12. Let r = 16\/3 + y. What is the smallest value in 1\/2, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 i, and 1 p when three letters picked without replacement from qiirrirpririiruirpr?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1253 - 1252. Which is the second smallest value? (a) 0.5 (b) 2\/23 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222210 (base 3) in base 5?\nAnswer: -10343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, n: 2, r: 1, s: 1}. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 14. Let f(g) = -4*g + 28. Let v(x) = 3*f(x) - 5*t(x). Let r be v(6). Suppose -22 = -5*i - r. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2436*o + 1849*o + 19371 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) -0.8 (c) 2 (d) -2235 (e) -8 (f) 3 (g) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 150\/2 + (-13)\/13. Let a be (-9)\/(-12) - q\/(-8). Solve -3*s - 12 = -2*b + a, -4*s - 6 = 2*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.27 + 32.2. Let y = -3 + 4. Which is the biggest value? (a) -0.2 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -0.2 (c) -1\/4 (d) 3 (e) -3\/4 (f) -0.05 (g) -1825\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*11.6.\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Suppose -3 = -t - f. Let s(m) = 2*m**3 - m**3 - 2 - 2*m**t + 0*m**2. Calculate s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 518?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 6:25 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467522705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 63 = -3*i, -2*z - 1 = 2*i + 31. Let y = 19 + z. Differentiate 13*s**y + 4*s**4 + 1 + 14 - 2 with respect to s.\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1190, 1184, 1178, 1172, 1166, 1160?\n\"Answer: -6*r + 1196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 0.4, 8 in descending order.\nAnswer: 8, 0.4, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjpnyjxp. Give prob of sequence pvn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 12*g + 72. What is the remainder when g is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5423 - -11387?\nAnswer: 16810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -478, 0.\nAnswer: -478, -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 24, 1\/6, 15859?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/3))**(-19\/2)*(d\/d**(1\/9))\/d*d*d**(-9) assuming d is positive.\nAnswer: d**(-431\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 18. Let k(o) = -o**3 - o**2 - 1. Let z be k(0). Let h be -7 - -7 - (-1 - z). Does 18 divide b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -52*d**2 + 3*d**2 + 1 + 0 - d - 19*d**2. Let r be j(1). Let c = -42 - r. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.2 (c) 5463.1 (d) -0.4 (e) 0.7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 + 10?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2121 (base 3) to base 2\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 95, -1\/2, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-2 - 2)*(-28)\/(-32). Let z(w) = w**3 - 8*w**2 + 6*w + 5. Give z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389, -389, -381, -359, -317, -249, -149?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uaaataaiiaaauauau. What is prob of picking 1 i, 2 u, and 1 t?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 5*o - o**3 + 0*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-10))\/(5\/(-925)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 28*x**2 - 30*x + 89. Give o(27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 3*z + 31, 2*i = 462*z - 463*z - 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x - 4928 = -35*x + 43*x - 192*x for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4179438 divided by 27.\nAnswer: 154794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24264317, -48528632, -72792947, -97057262, -121321577, -145585892?\n\"Answer: -24264315*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10314 or 10316?\nAnswer: 10316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6040510 is divided by 223722.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8328)\/(-4) + 7\/(-35)*-35 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16664 + 15073. Which is the nearest to -2? (a) s (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, 4\/7, 0.7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 31.069. Let w = t - 1.931. Which is the third smallest value? (a) 1\/2 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -508, -516, -526, -538, -552?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 27. Let p be y(-15). Let v = p - 1. Suppose -x - 7 = -0*x. Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1636 and 810638.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:38 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 163 = -5*i. What is the remainder when i is divided by 2\/4 + 23\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/9 (b) 2 (c) 1\/53 (d) -0.093 (e) 1\/3 (f) 0.3 (g) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -1, -1\/2, 2, -0.77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -10, -7, 2?\n\"Answer: 3*p**2 - 12*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 + 797 = -51*c. Let i be (3 - -5) + c*254. What is i rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/5)))**6*(k\/((k\/(k\/(k**(-2)*k*k*k)))\/k))**(6\/19))**(-31) assuming k is positive.\nAnswer: k**(6138\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 120 = -20*x. Let a(m) = 59*m + 48. Is 23 a factor of a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.972 - -1.028. Let c = -5\/29 - -74\/261. What is the biggest value in c, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -50.2387?\nAnswer: -1.507161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*f - 5 = -395*f + 3*m, 40 = -2*f + 4*m for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*(j*(j\/((j\/j**(-14))\/j))\/j)\/j*j)\/j))\/j**(12\/5)*j**(1\/5)\/j**(-5) assuming j is positive.\nAnswer: j**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17*-3*10\/(-15). Suppose -4*g - d = -110. Suppose 13 = 2*o - g. What is the lowest common multiple of o and 84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18237624 smaller than 18237629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**2\/2 - 5*t - 5. Let c be r(-8). Solve -s + 3*k = 11, -c*k - 1 = 5*s - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74810 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from ywaywt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -74.\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)**(-2\/7)*(o\/o**(-2\/7))\/o*o**(4\/5)\/o)\/(o**(2\/23)*o*(o*o\/(((o**2\/o)\/o)\/o*o))\/o*(o**(2\/5))**(-8\/13)) assuming o is positive.\nAnswer: o**(-12387\/10465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(11)*1)*1)\/(-4*(sqrt(5)*1 - sqrt(5)) - -2*sqrt(80)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 + 102*n - 4. Let t(m) = 6*m**2 + 103*m - 5. Let k(d) = -4*t(d) + 5*y(d). Let v(w) = 4*w**2. What is k(v(g))?\nAnswer: 16*g**4 + 392*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 1 + 2)*(-23*n**2 + 23*n**2 - 6*n**3) to c*n + t*n**2 + w + s*n**3 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 4214.\nAnswer: 84280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*c - 368 + 27 = -541*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from pvppwrf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 709?\nAnswer: 53175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35\/3 + (-6 - 91\/(-21)) and 496.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73284?\nAnswer: 2, 3, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2250964.\nAnswer: 1\/562741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*v*y**5 + 7282*v*y**3 - 4125528*v*y**2 + y**3 - 2*y**2 wrt y.\nAnswer: 720*v*y**2 + 43692*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179.06 + 179. What is the fourth biggest value in 4, 1\/6, n, 0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/38 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -59. Solve -4*r + v*i + 1 - 42 = 0, r + i - 1 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 11*r**4\/12 - r**3\/6 + r**2\/2 + 2*r. What is the tens digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -36.5. Let v = 4.5 - w. Which is the third smallest value? (a) v (b) 5 (c) -10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (20 - (-41 + 30)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/14 and -73\/110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**7\/105 - d**6\/10 + d**4\/12 - 9*d**3 - d**2 + 88. What is the second derivative of t(v) wrt v?\nAnswer: 24*v**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**(-8))\/(a**(-6\/7)\/a*a**(-1\/3)) assuming a is positive.\nAnswer: a**(-269\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8001338 + 586?\nAnswer: -8000752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q + 1. Let l(h) be the first derivative of 13*h**2\/2 - 2*h - 285. What is 2*l(b) + 7*t(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*22\/(-99) - (-2 + 1)) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b + 3. Let a be r(-13). Let w be a\/30 + 2\/5. Let o(q) = -2*q - 9. Let g be o(w). Solve -g*l + 8 = -1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 26, -4, -5, 4 in decreasing order.\nAnswer: 26, 4, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:50 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5 - 13. Suppose 0 = -a*s - s - 9. Let g = 1 - s. Sort g, 5, -5 in decreasing order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45134087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/1)\/((-6 - -8)*-1). Suppose 8*k - 75 - 53 = p. Solve 2*o + k = 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -413 - -417. Suppose 2*r - r + 24 = -3*g, 2*g - 2*r = -8. Let x = 35 + -34. Which is the nearest to x? (a) g (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.671 + 685.16\nAnswer: 671.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -8128?\nAnswer: -8128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 2. Let b be i(4). Suppose h - 323 = -2*c, 2*h = -3*c + b*c + 611. Suppose 0 = -2*m - 3*m - 3*l + h, 179 = 3*m + 4*l. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 443 - 41 = 0. Let a = 74 - p. Suppose -17 = -a*c + 11. Solve -c*x - x - 25 = -5*u, x + u = 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127 + -117 + 0 + -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -334, -308, 38, 704, 1690, 2996?\n\"Answer: 160*n**2 - 454*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016 is divided by 1008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 225 - 105 = 0. Let b be (-7 - 0)*(5 + -4). Let p = b + t. Calculate the remainder when 65 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10180 is divided by 1271.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 - (7 + 6)) + 9027 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 8*x - 7. Is b(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2. Let m(z) be the first derivative of -z**4\/6 - 3*z**2\/2 - 1. Let d(o) be the second derivative of m(o). What is i(d(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 490*o + 90. Let v(u) = 22*u + 4. Let r(y) = -45*v(y) + 2*z(y). Let l(x) be the third derivative of -x**4\/12 + 2*x**2. Determine l(r(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 27. Calculate q(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-1 + (-6 - -8) - -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 4*j + 17. Let c be z(-6). Solve c*n - 16 = 9*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 17*m + 133. What is c(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 3*u - u)*(-3 + 6 - 2 + (0 + 2 - 1)*(-2 + 0 + 0))*(4 - 4 - 3*u**3) to the form k + c*u**2 + p*u**4 + h*u**3 + l*u and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 7 + 1 + -3 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + -4*sqrt(1377) - (sqrt(1377) - (5 + sqrt(1377)))*1)*-2)**2 + -3 + 4.\nAnswer: -864*sqrt(17) + 88165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5913*b + 5916*b - 6 = -2*t, -b = -3*t + 20 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001393586 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 414*m - 447*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48, 43, 34, 21, 4?\n\"Answer: -2*q**2 + q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 284104 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: What is 14741 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1011 * 3.94\nAnswer: 0.398334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 10*v**3 - 7*v**2 - 3*v - 3. Let m(t) = -7*t**3 + 5*t**2 + 2*t + 2. Let f(x) = -7*m(x) - 5*p(x). Let k be (-2 + 2)*(-1 - -2). What is f(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z. Suppose a - 4*a - 2*u = -12, -a = u - 5. Let y(r) = r - r + a*r**2. Determine y(q(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -35\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - 0. Let a = b - -23. Let j = a - 1. What is the second biggest value in j, 2, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 9*q - 35 + (3 - 1 + 0)*(-3*q + 6 - 6) - 2*q + 12*q - 2*q)*(-59*q + 5*q + 0*q) to y + l*q**2 + b*q and give l.\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23140392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*q**4 - 104*q**4 + 164*q**4)*(-4*q + 4*q + 9*q).\nAnswer: -639*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, 35, 7, -1\/11, 102, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.07*0.1.\nAnswer: -0.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 73906*k**2 - 73904*k.\nAnswer: -2*k*(k - 36952)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143366452 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 12406 - 9653 = 0. List the prime factors of o.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j - 56. Let u be o(-6). Suppose 4*n = -5*p - 1 - 7, 3*p + 8 = -u*n. Factor 0*d + p - 1\/3*d**2 - 1\/3*d**3 + 1\/3*d**4 + 1\/3*d**5.\nAnswer: d**2*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 723.4325l?\nAnswer: 723432.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/7 - 540*b**2\/7 - 1083*b\/7 - 542\/7.\nAnswer: (b - 542)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.83 (b) -0.3 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 greater than 2238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7)*1 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -115*s**3 - 10*s**2 + s + 9. Calculate u(1).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h + 6. Let l(u) = 3*u - 18. Let k(f) = -2*f + 9. Let b(y) = 9*k(y) + 4*l(y). Let q = 190 - 182. What is q*o(a) - 5*b(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0)**(3\/8))**(-2\/95) assuming w is positive.\nAnswer: w**(-3\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25145 is divided by 6284.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-9 - -4) - (-3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/103 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2556 and 226.\nAnswer: 288828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 17*k - 15*k. Let y be 3\/k + (-16)\/(-12). Suppose -5*l + 11 = y. Solve -3*x + 4*x = -l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(1053)*4 - (-2*sqrt(104)*5 - sqrt(104))\/(sqrt(8) - (1*sqrt(72) - sqrt(8))))**2 + 4.\nAnswer: 200*sqrt(13) + 8145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 2090. Let j(b) = b - 1. Calculate 6*j(c) - u(c).\nAnswer: 2*c + 2084","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*z - 9*z. Let u = 6 - 4. Solve -u = a - z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 5. Let d be (5 - (-2 - -6)) + -5. Let t be s(d). Solve -2*r + t*r = 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 13*t + 19*t - 360 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7090 and 1563345?\nAnswer: 3126690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 59. What are the prime factors of (-3 + (-2 - -2))\/((-4)\/m)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/15 and 77\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 2. Let j(b) = -b**3 + 2*b**2 + b - 3. Let y(l) = 2*l**2 + 2*l - 1. Let o be y(1). Let a = 25 + -27. Give a*j(t) + o*f(t).\nAnswer: 2*t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(180) + sqrt(180)*-2*-4)**2 - (sqrt(5) + sqrt(245) + 3 + 5 + sqrt(180))**2.\nAnswer: -656*sqrt(5) + 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16) - 23\/(-184)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.9526907 rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 10 + 18. What is the third derivative of 17*k**4 + 7*k**w - 117*k**3 - 3*k**2 + 119*k**3 wrt k?\nAnswer: 576*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 46 = -38. Let g = p + 13. Suppose -g*b + 56 = -4. Solve 0 = -3*x + u - b, u + 4*u = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*q = -q - 21, 2*s - 41 = 5*q. Suppose -2*a = a - 36. Calculate the smallest common multiple of s and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from ccprcupapr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + w = -37, 0*s + 5*s + 3*w - 59 = 0. Let m = s + 0. Calculate the least common multiple of 58 and m.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -17*j + 36. Suppose 2*i - 10 = y, j*y - 4 = -i - 26. Let z(d) = 4*d - 4. Determine z(y).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.445 + -0.055. Put -2\/63, s, -2\/7 in decreasing order.\nAnswer: -2\/63, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/(-36))\/4*-9. Solve 3*s = 0, -4 = -3*x + a*x - 2*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -26\/3. Let j = -3 - h. Let u = -9304 - -18621\/2. Is u equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1900) + -1.\nAnswer: -30*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*u)*(-5 + 1 + 5) + (0 + 0 - u)*(-3 + 2 + 2) - u + u - 4*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/28*6\/(-195).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + g**3 + 2*g**3)*(-3*g + 3*g + 2*g) - 1 + g**4 + 1.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + z**2 - z**2 + 52 + 237*z**3.\nAnswer: 237*z**3 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 342\/15 + 8*(-8)\/80. Calculate the greatest common divisor of l and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*g = 443*g + 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + b - 5 = 0, -2 = -5*k - 3*b + 10. Solve -k*a - 1 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:41 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5687 - -2516. Suppose -3*d + w = 5*v, 2*v + 13*d = 9*d + 3284. List the prime factors of v.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/111537 and -22\/45927.\nAnswer: 780759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/4 + 3877449*m**2\/2 - 775490*m.\nAnswer: m*(m + 1550980)*(5*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373113302 to the power of 1\/2, to the nearest integer?\nAnswer: 37056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 5870*s + 1967784.\nAnswer: -(s - 318)*(s + 6188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) + 25\/4. Suppose -2*l - l = -p. Let h(y) = l*y**2 - 3*y + 3*y. Let q(a) = -a**2. Determine h(q(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -l - 24. Let q = 475\/314 + -2\/157. Solve -1\/2*s**l + 0*s + 0 - q*s**4 + 2*s**2 + 0*s**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 3*j + 13. Let y = 24 - 20. Let u(t) = -t**2 - 4*t - 13. Let s(f) = y*u(f) + 5*h(f). Is s(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573)*1*3)**2 + -5 - ((sqrt(1573) - (sqrt(1573) + 0)*-6 - sqrt(1573))**2 + 4))*-3.\nAnswer: 127440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*f**2\/4 + 25*f - 15\/4.\nAnswer: -5*(5*f - 3)*(5*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*x + 2*q = 74*x - 1606, 4*q - 16 = 0. What is the remainder when x is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8008 - -11402. What is q rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 14*f**2 - 15*f - 27. Let t be x(-13). Is 2\/149 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 65, 56, 37, 8, -31, -80?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1399931\/60 - -23331. Calculate the common denominator of l and (-268)\/(-16)*4\/55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -3, -3046324 in ascending order.\nAnswer: -3046324, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.17, 0.3, 0.094?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/21337 or -1?\nAnswer: -22\/21337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 804368565 to the power of 1\/2, to the nearest integer?\nAnswer: 28361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**4*x**2 + 4324*g**4 - 8*g*x**2 - 1670*g wrt g?\nAnswer: 60*g**2*x**2 + 51888*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*n + 43*n + 27*n)*(0 + 4 - 3)*(-2*n**4 - 5*n + 5*n).\nAnswer: 90*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - z**2 - 6*z - 2. Let i be f(0). Let l(a) = a**3 + a**2 - 3*a - 2. Let t be l(2). Sort i, 5, -4, t.\nAnswer: -4, i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 w when four letters picked without replacement from wwwwwwwwpwpww?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13724328 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -5, -10, -19, -32, -49, -70?\n\"Answer: -2*i**2 + 5*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21201617600 to the nearest 1000000.\nAnswer: -21202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01021 + -392.11021. Let p = q + 392. What is the biggest value in 10, p, 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 c when four letters picked without replacement from {t: 4, c: 5, f: 2, a: 1, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 6\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 33 = 137 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2685 in ascending order.\nAnswer: -5, -3, 2685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 946 and 3901347?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 936 and 5148?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241330?\nAnswer: 2, 5, 124133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 20*c**2 + 5 + 51*c**2 - 6*c**2. What is the hundreds digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7146.685 kilometers to micrometers.\nAnswer: 7146685000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/9 - 4910*p**2\/9 + 4904*p\/9 + 3272\/3 = 0. Calculate p.\nAnswer: -1, 2, 2454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 152\/(-16) - 2\/((-20)\/(-15)). Solve -5*o + 2*u = 7*u + 10, t*o + 4*u + 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2*d + 3*d + 5*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = -68. What are the prime factors of 28\/8*u\/2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -483 + 7243\/15. Let m(h) = -h**3 - 9*h**2 - 9*h - 4. Let n be m(-8). Suppose -5 = -2*y - n*i - i, -4*i = 5*y - 4. Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5711564 is divided by 50544.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239425.\nAnswer: 5, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -3 (c) -2 (d) -2\/21 (e) -105393\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 - 5*k**3 + 7*k**3)*(-3 + 3 + 3*k)*(-3 - 8 + 0).\nAnswer: -264*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -201949272 divided by -29319\nAnswer: 6888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -3*x**4\/8 - 5*x**3\/6 + 15*x**2\/2 + 26. Let f(b) be the second derivative of j(b). Find the first derivative of f(s) wrt s.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-8)*((-3)\/((-189)\/(-21)))\/((-17)\/(-3))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12470 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 + 57 = 0. Let y = 26 + i. Suppose y*v - 63 = -4*v. Solve 1 = 5*t - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0*b - 57 = 49*k, 2*k - 4*b + 18 + 0 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234\/(-23) + 131 + -121?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 3. Let n = -246 - -250. What is the remainder when k is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1790075\nAnswer: 2\/1790075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -883.6 + 883.3. What is the nearest to 2 in s, -3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 3*i + 1. Suppose 2 = 37*g - 36*g. Give m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 41. Let r(y) = -3*y - 41. Let c(s) = -6*h(s) + 5*r(s). Let t be c(-18). Which is smaller: -19 or t?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 65*d**2 + 21*d + 8. List the prime factors of i(66).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -404 + 408. Solve w*v + 4*v**5 + 4220*v**4 + 0*v**5 - 4208*v**4 + 12 - 24*v**2 - 8*v**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2093 + 2909. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)*(0 - 15). Suppose -5*x - 19 = 21. Let l = x + d. Calculate the least common multiple of l and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -6*i - 4*s - 2283, -s = -2*i - 4521. Let y = -1367 - i. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570, 2298, 5202, 9276, 14514?\nAnswer: 20910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h + 11. Let k(j) = -11*j - 14. Let l(u) = 5*k(u) + 6*r(u). Let a(t) = 2*t + 9. Give -3*a(w) - 7*l(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(2 + sqrt(32)\/(sqrt(484) + sqrt(484)*2 + sqrt(484) + sqrt(484) + sqrt(484) + sqrt(484))*-5)**2.\nAnswer: -80*sqrt(2)\/77 + 53761\/5929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052 <= 3053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13103 + -31?\nAnswer: 13012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-336)\/7)\/2)\/(-2). What is the highest common factor of 42 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 96, 12 in decreasing order.\nAnswer: 96, 12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 13 + 23. Suppose 0*w = 2*w - n. Let l = w + 13. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1405 - 670 = -5*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*1312\/(-36)*(-366)\/(-7808)*-96?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 21. Suppose -3*u - 6393 = -3*a, 0*a = -2*a - 4*u + 4256. Suppose d*w - a = 3*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -983064, -983071, -983078, -983085, -983092, -983099?\n\"Answer: -7*t - 983057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 112 = 2*l, -5*w - 2*l + 49 + 59 = 0. Let v(q) = -4 + 3*q - 5*q**2 + 6*q**3 - 3*q**3 - q**3. What is the least common multiple of w and v(3)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1700) + 1 + sqrt(1700)) + 0 + (-1*sqrt(1700))**2.\nAnswer: 120*sqrt(17) + 1706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(1872\/(-45)) - 1688\/64.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20605? (a) -4 (b) 4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 15*(-15 - 1566\/(-90)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 1 - 8*r + 8*r. Calculate j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*1)**2 + (sqrt(99))**2*-1 + sqrt(11).\nAnswer: sqrt(11) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 2984 = 52638. What are the prime factors of g?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -19*y + 2. Let l be (1\/1)\/(3\/(-6)). Let h be q(l). Let a be 19 + 3 + -3*2. Calculate the highest common divisor of h and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t, 5*b - t = -2 + 10. Let n be (-6)\/39 - (-4)\/26. Sort -1, b, n in increasing order.\nAnswer: -1, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -24. Let o be ((-103)\/2)\/(7\/(-14)). Let w = o - 98. Solve -5*x + 2*p - w*p = 32, -4*x - v = 5*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 - o - 1. Let c(d) = 15*d**2 + 2*d + 3. Let v = 1894 + -1897. What is v*c(z) - 7*a(z)?\nAnswer: 4*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4*n = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (923\/26)\/(160\/28). Let k = t + -93\/16. Suppose 3*i + 2*i - s + 19 = 0, 1 = i + s. Which is the nearest to k? (a) -11 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 525?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-8)*(-59)\/((-295)\/28).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + 542?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4)*m)\/m**8)\/(m**(28\/3)*m\/m**15) assuming m is positive.\nAnswer: m**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5*(sqrt(931)*-2 + sqrt(931)))*2)**2.\nAnswer: -560*sqrt(19) + 93116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, n: 7, a: 3, q: 1}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a*a*a**(-3\/8)))\/(a\/((a**(2\/5)*a)\/a*a*a*a))*(a**(-1\/2))**(-22) assuming a is positive.\nAnswer: a**(511\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Suppose 1 = -5*u - 14. Let t be (((-2)\/(-6))\/(-1))\/1. Which is the third smallest value? (a) u (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.005 + 0.505. Which is the closest to 2? (a) -3 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 3*y. Let n be j(-4). Suppose -5*s = -6*v + 2*v + 10, 0 = -v + 5*s - 5. Let u(x) = -3*x - v*x + 8*x + x. Let z(m) = m. Give n*z(k) - 3*u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 40*o - 900.\nAnswer: 5*(o - 10)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = t + 4*c, 2*t - 4*c - 17 = 27. What is the remainder when t is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6738, 6693, 6648, 6603, 6558?\n\"Answer: -45*o + 6783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -3137?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 675254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -2*d. Solve -2*w + 3*w = d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 15) to base 10\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1389217 + -0.2369104. Let v = y - -0.098. What is v rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6113.267 seconds to milliseconds.\nAnswer: 6113267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-4)\/5) + (-5610)\/(-50). Let l = 177 - n. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(330)\/(2*sqrt(6)) + -2*sqrt(1375))\/(sqrt(891) + sqrt(891) + sqrt(891)*1*6).\nAnswer: -19*sqrt(5)\/72 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6609, 26422, 59441, 105666, 165097, 237734, 323577?\n\"Answer: 6603*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -506*b + 471*b. Let r(a) be the third derivative of 0*a**3 + 0*a + 3\/40*a**5 - 3*a**2 - 1\/8*a**4 + b. Factor r(t).\nAnswer: 3*t*(3*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x - 2. Let f be x\/(-8) - 356\/(-16). Suppose v - f = -v. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 860432304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -40*f - 12. Let r be n(-2). Let p = 72 - r. Suppose p*t - 208 = 60. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -16201571\nAnswer: 25\/16201571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 2*l + 5. Let k be x(-6). Let o be 3 - (-5)\/(20\/(-24)). Let a be (o\/9)\/((-3)\/207). Calculate the greatest common divisor of a and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85\/11 + 233\/33. Let v = -1 - 0. Let x = -8 + 8.1. What is the nearest to x in m, -4, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*x**2 + 57629211*x - 4433016.\nAnswer: -3*(x - 1477672)*(13*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 22 = -257 - 101 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l**2 - 873*l - 3473. Give r(-4).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*z = -9*z - 132, i - 132 = 2*z. Calculate the greatest common factor of 44 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3264 and 19856?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, 9 in ascending order.\nAnswer: -4, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/5 - 7277546*q**2\/5 - 14555086*q\/5 - 7277542\/5 = 0. What is q?\nAnswer: -3638771, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 508168745 + -508168779.69998768. Let z = i - -34.7. What is z rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-9)*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -278*n*w**2 - 36*n*w*z - 20*n*w + 3*w**2*z - 9*z wrt z?\nAnswer: -36*n*w + 3*w**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 13 (b) -0.2 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 5*h - 5*y + 24, 11 = -h + 3*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2006\/3 (b) -2 (c) 3.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = n - 65, 5*q - 334 + 9 = 2*n. What is the remainder when q is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1424 divided by -16.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 2*i**2 - 165 - 6*i**2 + 3*i**2 + 43 + 71.\nAnswer: -i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -1\/3 (b) -60 (c) -6 (d) -20\/13 (e) 0.4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*x = 174 - 163, -8*x + 14 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004012 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 64055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2872 + -626. Suppose -2*v + 1271 = 3*f - 431, y = 4*f - 2*v. List the prime factors of 4*f\/(-32)*-2.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 791 - 428. Let p = 490 - n. What is the remainder when p is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 76 - o**3 + o**3.\nAnswer: -o**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.235372 and -1856.613?\nAnswer: 1846.377628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 3*y**2 - 1. Let x be c(2). Suppose -x = -z + 2*u, -u = 5*z - 2*u - 42. Find f such that f**2 - 2*f**2 - f**2 + z*f**3 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.69682ng in tonnes?\nAnswer: 0.00000000000007269682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30124 + -2771. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*v = -65, -d + 1169*v = 1186*v - 337 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 4*g + 1. Let p be l(-3). Let v = 0.2 + -0.2. Let q be ((-1)\/(-4))\/((-50)\/200). What is the nearest to 0 in p, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:50 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26c187 (base 13) in base 12?\nAnswer: -3943b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 231073025 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - m = 1401, 0 = -3*t + 4*t - 2*m - 467. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*45*(-2)\/(-20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 34*j = -95, 6*l + 218*j - 215*j - 39 = l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*x + 1781*x + 2898*x.\nAnswer: 4756*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 + -1359?\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 4*s + 39 = 0, -2*t + 4*s + 74 = 48 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 - 3*i**2 - 6*i**4 + 3*i**3 + i**4 + i = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/62867 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 246 - 479 = 0. What is the greatest common factor of 275 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -43. Let c = s + 180. Suppose c = -2*i + j - 819, 0 = j - 2. Round i to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - (-76)\/(-16))*12. Let z(m) = 19*m - 6. Let d(y) = -3*y + 1. Let o(l) = -39*d(l) - 6*z(l). What is o(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.31 (b) 3 (c) -0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.5. Let r(g) = g**3 + 6*g**2 - g + 33. Let q be r(-7). Let o be (-4)\/(-42)*q\/2. Sort v, 3, -4, o.\nAnswer: -4, o, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-1728)\/40 - -38).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5336809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11005 + 37986*h + 11005.\nAnswer: 37986*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 = 5*h - 6*h, 5*q + 5*h - 15 = 0. Let i(n) = -16*n + 3. Let r(j) = -33*j + 5. Determine q*i(v) - 3*r(v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 - (-1 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 37 = -t, -3*t - 4*y + 49 = -110. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 1514 + 1514 + v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -8*c - 1. Let h(i) = -8*i - 1. Let x(s) = -6*h(s) + 5*l(s). Let u(a) = a. Suppose -718*m - 930*m = -702 + 863 + 1487. Calculate m*x(k) + 4*u(k).\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -1\/3, -0.15 in decreasing order.\nAnswer: 1, -0.15, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*o - 3*o**2 + 340*o + o**2 + 342*o + 351*o - 1212*o.\nAnswer: -2*o**2 + 98*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.3 * 0.1.\nAnswer: 7.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 75.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-220))\/((-1)\/2). Let i be 11 + 2 + (4 - 8). Suppose -4 = -i*j - 13. Which is greater: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 82*j**2 - 7*j + 12. Let o be g(2). Suppose -o + 356 = -3*r. What is the closest to -17 in r, 0, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 0 + 1 - (-40 + 76 + -42)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 17, 3 in decreasing order.\nAnswer: 17, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75143 - 85*q + 73383 - 148526.\nAnswer: -85*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*s + 219 = -99 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12554687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 8) in base 5?\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36099 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 - 239640*j - 2871366480 = 0.\nAnswer: -23964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 2*n + 6, 37*c - 527*n + 524*n - 109 = 42 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((17 + -5)\/24)\/(3 + (-4796)\/1600). Let i(f) = -3*f + 7. Let b be i(-6). What is the highest common divisor of m and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -65db302?\nAnswer: 65db305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.05 (c) -1383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 35. Let b be (-2)\/(k + 1) + -12 + 6. Which is bigger: -11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1234586 or 1234588?\nAnswer: 1234586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**3 - 4*d**3 + 5*d**3)*(37*d - 10*d - 13*d - 2) as j*d**4 + q*d + y*d**2 + n*d**3 + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -3\/2*f**2 + 0*f + 2\/3*f**3 - 3. Is u(2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/11? (a) -0.5 (b) -3\/11 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 2 = -22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1684555, 1684567, 1684565, 1684531, 1684447, 1684295?\n\"Answer: -3*o**3 + 11*o**2 + 1684547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvf when three letters picked without replacement from {f: 7, k: 9, v: 2}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 258 = 2*k, k - 4*s = -2*s - 128. Let p = -80 - k. Suppose 4*c - p = -h - 0*h, 5*h = -3*c + 50. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.501 - 2.331. Suppose 4*a + 6 = 3*g, 5*a - 3*g + 1 = -5. What is the closest to a in 0.1, b, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 2*a**7\/3 + a**5\/10 + 5*a**3\/6 - 7*a + 3. Find the second derivative of x(w) wrt w.\nAnswer: 560*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/239790 and 26\/71937.\nAnswer: 719370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 18. Let w = -46.7 + f. Let u = -55 - -55. What is the closest to u in 3\/4, -10, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 + 6164551?\nAnswer: 6165000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110145 (base 6) to base 5.\nAnswer: -243022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -3166.991342.\nAnswer: 3166.791342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15*6\/(-600))\/((-61)\/(-4)). Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 680 and 6960?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 23424, 0 in decreasing order.\nAnswer: 23424, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 12. Let k = 158 + -81. Suppose -43 = -4*o + k. Calculate the highest common divisor of l and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 852\/15*(6 - 11). Find the common denominator of 35\/22 and (t\/144 - -4)\/(2\/4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1538 + -1028. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 56 + 15)*(-2*i + 10*i - 18*i + 2*i**4) + (2 - 3 + 0)*(3*i**4 - 4*i**4 + 4*i**4).\nAnswer: 159*i**4 - 810*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008632 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26084 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5 in ascending order.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 7:44 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 117377.02.\nAnswer: -117377.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 rounded to 0 dps?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1. Let w(o) = 24*o - 66 - 42 + 41 - 53. Calculate 120*j(k) + w(k).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.5 - -6. Let m = -7 - f. Which is the second smallest value? (a) m (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5544 and 920502.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-64)\/(-20))*-5*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*s**3 + 3*s**4 + 33*s**2 + 34*s - 23*s - 26*s.\nAnswer: 3*s*(s - 5)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q - 5*q + 7*q + (-2*q + q + 0*q)*(-3 + 3 - 1) - q - q + 4*q + (1 - 1 - q)*(1 - 3 + 0) - 2*q - 2*q + 7*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 9*x - 10. Suppose 3*b + 13 = -x. Let n(i) = i**3 + 7*i**2 + 6*i. Let w be n(b). Which is smaller: w or 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -200, -240, -280, -320, -360?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.102 + 55678765.\nAnswer: 55678764.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1*3\/15). Suppose 35 = 5*z - 3*p, 2*z - 6*z = c*p + 9. Suppose 0 = -4*r + z + 4. What is the smallest common multiple of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(156) - (3*sqrt(156) - sqrt(156))))\/(sqrt(12)*-3*1 - sqrt(12)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3112 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 4*a - 33. Let s(h) = 3*h - 25. Let n be s(7). Let f be p(n). What is the smallest value in 15\/11, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 88*w**2 + 20*w + 7. Let a(f) = -87*f**2 - 23*f - 8. Calculate 6*a(g) + 7*v(g).\nAnswer: 94*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000350219541 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 71.1. Let l = 61.3 + y. What is the third smallest value in l, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 30*o + 8. Determine w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -532*p + 162*p - 93*p - 12501 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/246 and -67\/48.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00076633 rounded to 6 decimal places?\nAnswer: -0.000766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 2*v - 2. Let m be (2\/4)\/(2\/8). Let s be 11 - (-2 + -1 - -1). Suppose s + 32 = 5*y. Let k(b) = 13*b**2 + 8*b + 8. Give m*k(f) + y*u(f).\nAnswer: -f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5 + 162*s**4 - 778*s**3 - 1128*s**2 + 4523*s + 4710 = 0.\nAnswer: -2, -1, 3, 5, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-3*4\/8). Solve -r = -4*c + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) -4 (c) 1 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9583 - -4015275\/419. Let l = f - 804\/7123. Suppose 14*i = 11*i + 15. Sort i, l, 0.1 in increasing order.\nAnswer: l, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cad + d6a?\nAnswer: 2c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, -2, -1269, 0.07.\nAnswer: -1269, -2, -0.4, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*h**2 - 2*h**3 - 12*h - 79*h**2 - 3*h**4 + 149*h**2 - 2 to v*h**4 + t*h**3 + u*h + p*h**2 + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r + 4*r. Calculate the remainder when 9 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**3 + 104*i**2 - 383*i + 256. Let q(l) = 2*l**3 + 6*l**2 + l. Let n(s) = 2*d(s) + 6*q(s). Let n(m) = 0. Calculate m.\nAnswer: -64, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5334205 divided by 1066841?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 154 = 5*l, -2*z + 95 + 49 = 4*l. Let t be 10\/(-45) + 9764\/36 - -1. What is the highest common factor of t and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 52 = -4*h. Let t = -23 + h. Solve 3*f - 6 - 4 = -m, -t*m + 3*f = -6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(22)\/sqrt(2)))\/sqrt(8) - (sqrt(72) + (sqrt(72)*-1)**2*4).\nAnswer: -288 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48938223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 + 5*w)*(-1 - 4 + 3)*(1 - 3 + 0)*(-3 + w + 3) to r + c*w**2 + n*w and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a117 (base 11) in base 8?\nAnswer: -160034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 - 192 = -5*q + 3*y, 3*q - 252 = 5*y. Let p be ((-1)\/(-2))\/(7\/q). Suppose 0 = p*m - 4*m + 2600. What is m rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2548045435.\nAnswer: 5, 13, 39200699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 4872?\nAnswer: 53592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 21*a + 123. Calculate the remainder when x(8) is divided by (-6 + -1)\/(2\/(-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((520380\/175)\/42)\/(90\/75).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 42*g**2 - 100*g + 5522. Calculate u(41).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(91)*-1)\/((sqrt(28)\/sqrt(2))\/sqrt(2)) + -1) + 1 + 3.\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**3 - 9 - 2*k - 4 + 15 to the form w + q*k + p*k**3 + m*k**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s**2 - s - 1. Suppose 101*z - 2 = 102*z. Calculate r(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/107 and ((-1596)\/(-49))\/(-6) + 6 - 655\/(-140)?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*p**2 - 143*p**2 + 3 - 1.\nAnswer: -88*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 8*z**2 + 4*z - 17. Let y = -2247 - -2240. What is o(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/6 - q. Let k(h) = h**2. Suppose -14 = -7*u + 7. Let d(r) = u*o(r) - 7*k(r). Let s(m) = 2*m. Give s(d(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (4 + (sqrt(425)*3)**2)) + -4 - (-5 + -5*(sqrt(1377) - 2*sqrt(1377)))**2.\nAnswer: -38283 + 455*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34536.003 + 34506. Let p = n - -30. Round p to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - a = -60, -a + 34 = 3*m - 0*a. Let o be m\/(13\/6) + 144. Calculate the greatest common factor of 75 and o.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -15*n - 4. Let i(t) = 46*t + 11. What is -17*h(y) - 6*i(y)?\nAnswer: -21*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(((-2226)\/420 - -5) + 32\/(-10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1325 and -0.3.\nAnswer: -0.63975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/22 - 293\/66. Are m and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1447, -1450, -1455, -1462?\n\"Answer: -p**2 - 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*g + g. Let j(v) = -2*v - g*v + 2*v. Let c(s) be the first derivative of 3*s**2\/2 - 22006. Determine c(j(w)).\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1404520 - 561?\nAnswer: 1403626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 + 5913*c + 58528. Determine l(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 6*q - 13*q)*(-9*q - 2 + 2*q + 3).\nAnswer: 147*q**2 - 21*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 776*i - 1566*i + 11 + 770*i + 2 + 20.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3275)\/(-175) - 2\/(-7). Let z = i + -19. Let h(q) = -5*q + 6. Let n be h(z). Solve -8 = 4*o - 3*u + 14, -n = -3*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-7)*b*b*b)\/b)\/b*b)\/(b\/(b**(2\/3)\/b*b)))**(14\/9)\/((b\/b**(-2\/7)*b*b\/b**(-1))\/(b**(-8)*b*b\/(b*b*b**(-7)))) assuming b is positive.\nAnswer: b**(-2567\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, w: 11}. What is prob of picking 2 w and 2 a?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1759*d = -1081*d + 289*d + 211733 for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/6352 = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + 6 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505767 divided by -4?\nAnswer: 1505767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4867958\nAnswer: -3\/4867958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/107734 and -71\/24.\nAnswer: 1292808","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*w**4 + 2*f*w**3 + 3*f*w**2 + 5433*f*w - 106173*w**4 - w**3 + 8*w**2 - 10 wrt w.\nAnswer: 72*f*w + 12*f - 2548152*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6890 - -9652. Is 47 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091920124.\nAnswer: 2, 23, 11868697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 12 = -23. Let b(z) = -z + 5. Give b(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 1. Let f be t(0). Let l(u) = 2 - 42*u + 31*u - 3. Let j be l(f). Solve h + 4*w = -j + 31, 2*h - 12 = -2*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 10075740.\nAnswer: 5037870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39662 is divided by 13215?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214363078.\nAnswer: 2, 31, 137, 25237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 4*d - 1. Let b(c) = c**2 + 5*c + 2. Let n(w) = 3*b(w) + 2*j(w). Let s be n(-7). Put s, -1, 3 in descending order.\nAnswer: s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgn when four letters picked without replacement from {f: 1, n: 2, g: 7, k: 7}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -10*h - 2*j, -77*h + 157*h + 4*j - 71 = 75*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-50)\/25 - (-177)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-12))\/(5\/30). Suppose -3*i + 33 = 4*s - d*s, 4*i = 5*s + 44. What is the highest common factor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 12. Is 6 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {h: 2, q: 1, j: 1, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7119*f + 16. Let n(h) = -14246*h - 36. Determine 9*j(k) + 4*n(k).\nAnswer: 7087*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 139860 a multiple of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1423096 and 4.\nAnswer: 1423096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*i - 0*i - 1, -32*h + 4*i = -15*h + 183 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 14) in base 13?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 6111 + 1339. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -82, -336, -758, -1348, -2106?\n\"Answer: -84*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 15 + 5. Let z be x*2\/4 - -1. Suppose z = y + 2*p + 2, y - 6*p + 2*p = 22. Solve y*j - j = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -151. What is the highest common divisor of 385 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991475518 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23954 * 2.\nAnswer: 47908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/13 - 3740*f\/13 - 114000\/13 = 0. Calculate f.\nAnswer: -30, 1900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -625 + -1520. What is the remainder when 11 is divided by p\/(-231) - 4\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4 + (sqrt(147) - -1*sqrt(147)))**2 + (1*1*sqrt(147) - sqrt(147))).\nAnswer: 448*sqrt(3) + 2416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5481*u - 5481*u + 104*u**2 to the form q*u**2 + g*u + i and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = t, -5*t + 28 = 2*r. Suppose r*j + 0*u = -4*u + 16, u + 32 = 5*j. Let f(i) = -i**3 + 5*i**2 + 5*i + 4. Calculate f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -160861 (base 13) to base 11.\nAnswer: -341868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -200.38 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32493, 35272, 38051, 40830?\n\"Answer: 2779*x + 29714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*x - 100 - 36, -12 = -3*x. Solve 0 = d*j - 37*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.09 - 0.09. Let s = -10.99999948 + c. Round s to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = t, -4*c = 4*t - 13 - 7. Solve -4*n + y - 4 = 0, t*n - 4*y + 14 = -2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(76)*4 - sqrt(76))*6)\/(-5*-4*sqrt(64) + sqrt(64)).\nAnswer: 11*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*d + 67 + 38. Suppose d*z - z - 2*p - 74 = 0, 4*z + 4*p = 92. Solve u + 4*u = -z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/(-5))\/(5\/25). Let v be i\/(-30)*5\/2. Sort 2, v, -3.\nAnswer: -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*f**6 - 523727*f**5 + 4*f**2 + 3917650*f?\nAnswer: 840*f**3 - 31423620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 6)*(-170*o + 138*o - 2 + 4).\nAnswer: 128*o - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-63)\/(-9) - 9 - 3. Let j be -3 - 5\/((-15)\/9) - r. Solve -4*d = j*t - 33, -2*t + 12 = -0*t + d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1568 by 49.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8*y + 40 = 3*y, 2*v + 8 = 2*y. Suppose 77 = 2*d + 59. What is the units digit of (v\/d)\/((-2)\/90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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: Expand (-3*q**2 - 5*q**2 + 3*q**2 + (-1 + 1 - 2*q**2)*(3 + 0 - 1) - q**2 - 3 + 3 + (-1 + 5 - 3)*(q**2 + 4*q**2 - 4*q**2))*(1 - 1 + 1)*(-2*q + 7*q - q).\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let w(v) = -2*v. Let h(r) = 5*w(r) + 4*x(r). Let p be (2 + (-7)\/3)*-6. Let g(s) = -3*s**2 - 4*s**2 + 10*s**p + 7*s**2. Give g(h(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g + 6 - 34. Let u(p) be the third derivative of -12*p**g - 7\/12*p**4 + 0*p**3 + 0*p + 2\/15*p**5 + 0. Find the second derivative of u(v) wrt v.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 16 = -y, 18*y - 3*o + 113 = 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -234037 and -234035 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65215*r**3*v*x**3 - 2*r**3*v*x**2 - 7*r**3*x - 1351*r**2*x**3 wrt v?\nAnswer: 65215*r**3*x**3 - 2*r**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 311 = 5*q - 346, -q = -11*h + 6*h - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 16 = 2*q, -6*q = -3*a + 45 - 69 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = c - 13, -4*q - 3*c = -0*q - 31. Let o be (7 - 58\/4)\/(6\/(-8)). Solve q*i = o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 + 210 - 24235*z.\nAnswer: -24235*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*j**2 - 58*j**2 - 2*j**3 - 58*j**2 + 168*j**2 + j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5 - 2)\/((-70)\/25)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -6. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = y + 4*y, -2*q = -y + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -97, -8 in ascending order.\nAnswer: -97, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13158 is divided by 249.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 980 and 3640?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*p + 15 = -159 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 5)*(48*m + 35*m - 5*m).\nAnswer: -468*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7751, -7750, -7749, -7748, -7747, -7746?\n\"Answer: g - 7752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 2730*m - 2732*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -14?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.1. Suppose 7*g = 2*g. Which is the nearest to g? (a) 4 (b) 1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2799 - 2770. Solve 0 = 20*q + f + 51 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 36 - 11. Suppose 5*s - 31 = -4*c, -n*c = s - 0*c - 23. Suppose l = -4*i - 0*l + 131, l - s = 0. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -133*q - 5. Let r be i(-2). Let g = r - 1220. Let u = -513 - g. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4474 + -80587\/18. Calculate the common denominator of 117\/972*6 - 8 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sys when three letters picked without replacement from ysss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2847.615 kilometers?\nAnswer: 2847615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64886053?\nAnswer: 64886053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 865756 and 865756?\nAnswer: 865756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 19 - 182341*h**2 + 182341*h**2.\nAnswer: -2*h**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4956807 by 3.\nAnswer: 1652269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(2 - 5 + 4)*(133 + 453*o - 132 + 941*o) to the form r + f*o and give f.\nAnswer: -2788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -2*g**5\/5 + g**4 + 8*g**3 - 40*g**2 + 64*g + 82. Solve t(n) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2. Let y = 3 - 2. Let i = y - -1. Let x(g) = g**2 - 3*g**2 + 3*g**i. Calculate x(m(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 772*p**3 - 387*p**3 - 387*p**3 - 102*p + 104*p**2.\nAnswer: -2*p*(p - 51)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/35 and -40\/2569.\nAnswer: 12845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 9:10 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 6. Suppose w*t = 4*t + 2. Let b be (t\/3)\/(1\/(-6)). Solve h = -0*h - b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 98*b**2 - 45*b**2 - 42*b**2 - b + 2*b + 52. Does 39 divide x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 829686003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -3. Let n(f) be the first derivative of f**3\/3 - f**2 + 4*f - 9. Is n(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10142, -33217, -71680, -125537, -194794?\nAnswer: -279457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6819*a**4 + 1981*a**2 - 917*a + 148 wrt a.\nAnswer: -81828*a**2 + 3962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 38 - 39 = -2*t, -t + 40 = -f. List the prime factors of t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 1. Let m(z) = z**3 + 3*z. Let x(y) = c(y) - m(y). Let v be x(-3). Let f = v - 112\/3. Put -12, f, 4 in descending order.\nAnswer: 4, f, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15070 - 15043 - 5*m**2 + 30092 + 3*m**2.\nAnswer: -2*m**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - 0) - (22 + -30).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.92779 litres in millilitres?\nAnswer: 11927.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14518 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*n - 3 = 61*n. Suppose 8*m + n*m = 385. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(19) + 1.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4631641, -4631624, -4631591, -4631536, -4631453, -4631336, -4631179, -4630976?\n\"Answer: o**3 + 2*o**2 + 4*o - 4631648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-63) - (5\/(-2) - 6182\/(-1540))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -80 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) -0.3 (c) 6 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -4. Suppose 5*v - x*v = -2. Calculate the lowest common multiple of (-2 - -14) + -4 + v and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from iwizfiimi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1769*-3.\nAnswer: -0.5307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1004\/49921 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*v - 39*v + 440. Suppose v = o + 6. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 1 + 3. Let d be (v\/2 - (-9)\/18)\/(-5). What is the nearest to d in 2, -1\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/172 and 59\/4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1955746 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -126*k + 124*k + 2*x, -3*x = -9. Solve 7*g + 8 = 3*z + k*g, 4*g = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -7, -20.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(567))**2)*-2*-3.\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 967*q - 7751. Determine v(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 4, -2, 8, 0.1, 0.264 in ascending order.\nAnswer: -2, 0.1, 1\/6, 0.264, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 504, 949, 1390, 1821, 2236, 2629, 2994?\nAnswer: 3325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1294.2364 to the nearest ten.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3126754071 rounded to 2 decimal places?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -201101 (base 3) to base 15\nAnswer: -24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, h: 9}. Give prob of picking 3 h.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128868674.\nAnswer: 2, 11, 31, 188957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7211753*c**5 + c**3 - 2*c**2 + 1528*c - 392 wrt c.\nAnswer: 432705180*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*x = -2*a - 138, -3*a + 209 = -5*x + 20 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28688602, -28688614, -28688642, -28688692, -28688770?\nAnswer: -28688882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -77 + 78 + 4*1\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 - 3 + 3)*(-3*r - r + 2*r) + (16 - 8 + 14)*(-9*r**5 + r**5 - 9*r**5).\nAnswer: -372*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 - 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 11*o + 4. Determine a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1114907*a**6 + 2*a**2 + 96*a - 680.\nAnswer: 133788840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-67)\/402)\/(3\/8)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3742 divided by 5?\nAnswer: -3742\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000305872 to seven decimal places.\nAnswer: -0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116090)\/(-265221) - 4\/(-22) - 12\/22?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6935 + 2*m**2 - 6935.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5. Let v = 0.6 - d. Let l = v + -0.6. Which is the smallest value? (a) -0.1 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 60 = -2*t. Suppose 6 = -t*w + 31. Solve -w = -h - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t - 590 = 2*b, 5*b - 590 = 5*t. Let p = t + 55. Let g = 83 + p. Calculate the least common multiple of 11 and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7121*f**6 - f**2 + 10212?\nAnswer: 854520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 372147839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1246 and 1244 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42414 + 233?\nAnswer: 43202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 225.862 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 6*v + 2. Let n(i) = -i**2 + 2*i - 1. Let s(w) = -2*l(w) - 7*n(w). Suppose 0 = -2*c - 3 + 7. What is s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/7)*k)\/k**(1\/46) assuming k is positive.\nAnswer: k**(499\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*q = 33 - 22, 13 = -3*w - 2*q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -46. Let h = -1262\/3005 - -12\/601. What is the biggest value in h, -2, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 343098*y + 6175845\/2.\nAnswer: -(y - 9)*(y + 686205)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-4023.\nAnswer: -16092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 - 2*q + 1. Let h(n) = -8*n**2 - 12*n - 5. What is h(u) - 6*m(u)?\nAnswer: 10*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*o*r + 7*j*o + 13*j*r - 5*j + 96*o*r - 16*o + 2*r with respect to j.\nAnswer: -o*r + 7*o + 13*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13486629311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - p + 1 = 0, -p = -2*s - 15 + 2. Let t be 1\/(-4) - (35\/4 + -3). Sort s, t, 0 in descending order.\nAnswer: 0, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -226*s. Let v(b) = 13*b**2. What is u(v(g))?\nAnswer: -2938*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 6974?\nAnswer: 83688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12160, 24292, 36426, 48562, 60700, 72840, 84982?\n\"Answer: j**2 + 12129*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17. Suppose -55*x + 51*x = -12. Sort 4, k, x, 5.\nAnswer: k, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, -148.459, -2\/5 in ascending order.\nAnswer: -148.459, -1.6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = -6*b - 3*b. Calculate the remainder when b is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((4 - 2) + 2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, d: 1, t: 6, e: 2, n: 3, w: 2}. Give prob of picking 1 w, 1 e, and 1 n.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5107753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 6*t)*(8 + 17 - 9)*(-1 - 10 + 53).\nAnswer: 1344*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x = -3*t + 19*x - 6, 24 = t + 10*x for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-26*(-4)\/(-28) + 4). Suppose -8 + w = g. Let l(c) = -8*c**2 - 8*c - 1. Let r(i) = -5*i**2 - i - 2 - 16*i - 12*i**2. What is g*l(t) - 6*r(t)?\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.521140582 - -77.\nAnswer: 78.521140582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c\/((c\/(c*c**4))\/c)*c)))\/((c\/c**(-7))\/c)*(c**0)**32 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let o(n) = -24*n**2 - 3*n + 28. Let z(i) = -3*l(i) + o(i). Differentiate z(m) with respect to m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -27?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - -0.39. Let q = 3.6 + -4. Let w = q + r. Which is smaller: w or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 7*u. Let k be r(3). Let m(w) = -w**3 + 12*w**2 - w + 14. Let a be m(k). Put -5, a, 4 in ascending order.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {y: 5, q: 4, i: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.0563 (c) 1 (d) -4 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 538.7 - 18.7. Let p = x - 400. Is p bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a**5 - 59 + 59)*(-81 + 38 - 51).\nAnswer: -752*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5083*d**4 - 2*d**2 - 45*d**5 + 5083*d**4 + 6*d**2 wrt d.\nAnswer: -2700*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150120*z - 150065*z - 1430 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -99. Let g = c + -58.1. What is the nearest to 0 in 6, g, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**5\/20 + 3*b**2\/2 + 5*b. Let i be 1\/4 + 5\/(-20). Let w be q(i). What is the third smallest value in 1\/4, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 16*c + 18. Let l(k) = -k - 1. Let s be (-13 + 15)\/(-1 + 2). Give s*h(n) + 36*l(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -17. Let g be d\/(4\/((-40)\/(-3))). What is the highest common divisor of g and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*k + 619*k = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and 1.12.\nAnswer: 0.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5970*h**2 - 216*h - 215. List the prime factors of g(-1).\nAnswer: 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -3, -3.6001?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**2 - 497*o + 45. Let j be t(71). Solve -j*g + 40*g - 25 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/2, 2, 126, -1\/6, 0.2 in decreasing order.\nAnswer: 126, 2, 0.2, 0, -1\/6, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83806979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and 13\/3828.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -14*f + 166. Give w(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -175119313 divided by 6038597?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(228)\/(sqrt(30)\/sqrt(5)))\/(sqrt(20)\/(sqrt(20)\/sqrt(2) + sqrt(10))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = 37*t - 46. Put -7, 2, t in decreasing order.\nAnswer: 2, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*-2*sqrt(490))\/(sqrt(125)*5 + sqrt(125) + sqrt(55)\/(sqrt(539) - sqrt(11))).\nAnswer: -756*sqrt(2)\/181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7.7. Let o = 9 + m. What is o rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/2)\/((-8)\/48). Calculate the greatest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 3:46 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -20, -52, -98?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbzd. Give prob of picking 1 d and 1 b.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**4\/120 - h**3\/12 - 20*h - 4. Find x such that g(x) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -43*a - 2268. Let i(o) = 142*o + 6806. Calculate -10*d(y) - 3*i(y).\nAnswer: 4*y + 2262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48529*q - 69219 = 20060*q + 44657 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(567) + sqrt(567) + -5 - sqrt(567)) + sqrt(567))) + 4.\nAnswer: -17*sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104369\/12 + -8707. Let a = 5260862203663\/1826648121480 + -1\/578053203. Let b = 2\/395 - a. What is the common denominator of w and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411104*d - 411107*d + 6615 = 0. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 3*o**2 + o**2)*(-o**3 + 2*o**3 - 3*o**3) + 0*o**3 + 0*o**3 - o**5 + (-2*o**2 + 2*o**2 + o**5)*(7 - 19 - 5) + (o**4 - 2 + 2)*(3*o - o + 0*o).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, 7\/5, -13, 4474, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1901*s + 1217 = -1868*s + 194 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -121200111222?\nAnswer: -121200112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*s = -95, -7 - 13 = 4*s. Let k be (-300)\/44 + 7 + z\/(-55). What is the closest to -0.034 in -2\/7, 4, 2, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 176*x + 180. Let j be n(-43). Let d = -11 - -27. Calculate the highest common divisor of d and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkl when three letters picked without replacement from kyyyllkkykyyykyykk.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f - 260 = -4*t, -170 = -3*t + 2*f. What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 2, 7\/185, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z - 40. Let j be d(8). Let g be (-16)\/8*(-1 + j). What is the second derivative of -74*u**3 + 84*u**3 - 2*u**g + 5*u + 2*u**2 wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = 3*p, -3*p + 69 = 2*j. Suppose -37*d = -j*d - 438. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 137 in ascending order.\nAnswer: -4, -1, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 3159.\nAnswer: 78975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 423 divided by -141\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 102?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1135 from -0.22662.\nAnswer: 1134.77338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)\/u**(-2\/9)*u*(u*u*u**(1\/4))\/u*u\/u**1 assuming u is positive.\nAnswer: u**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235 - -238. Solve -j*t - 6 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 12*s - 15*s - 19 = 0, -3*h - 3 = 3*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*u + 56*u + 2 - 42*u + (1 + 3 - 2)*(-2*u - 4 + 4))*(-4*u - 2*u + 0*u) to the form h*u + b*u**2 + l and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -5. Suppose 2*n = g - 125. Let y = n - -275. What are the prime factors of y?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -1. Suppose 2*v + 2*v + 12 = 0. Let x = r - v. Solve x = c + 2 - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*j - 2*j - 4, 4*w = -2*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {n: 2, r: 3, i: 1, b: 1, c: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q\/(((q**(-2\/13)*q*q)\/q*q*q)\/q))\/q)*q**(-5\/2))\/(q**(-5)\/q)**25 assuming q is positive.\nAnswer: q**(3883\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308) - (-3*sqrt(308)*-4 - sqrt(308)) - (sqrt(308) + -3*sqrt(308)*1 + sqrt(308)))\/((5*(sqrt(77)*-2 - sqrt(77)) - sqrt(77))\/(sqrt(28)*6)).\nAnswer: 27*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.577974 to three dps.\nAnswer: -0.578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.155 - -7.155. Sort -2\/39, u, -0.3 in decreasing order.\nAnswer: u, -2\/39, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1500*w - 20695. Calculate b(13).\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2608.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12339 (base 13) in base 16?\nAnswer: -82e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 952*i - 969*i + 68 = 0. Let f(b) = 5*b**2 - 5*b + 1. Let g(r) = 5*r**2 - 4*r + 1. Give i*f(d) - 5*g(d).\nAnswer: -5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n = 35*n + 448. Let c = n - 84. Suppose c*m - 1924 = 24*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qmqumqmqqqqum?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 29. What is the nearest to -8 in v, 0.1, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**3 + 3*f**2 - 2. Let n be c(1). Solve 3*b - 4*q = -n, -4*b - 5 = -2*q + 5*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 14 - 7)*(3 - 4 + 2)*(2 + 5*d - 2) as t + c*d and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(75\/((-3525)\/658)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.02732l in millilitres?\nAnswer: 6027.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*u + 11, -6*u + 24 = 4*q + 20 - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 + 3*s - 6. Let j be o(-7). Let g be 6\/j + 14\/(-18). What is the units digit of g + 0 + 6\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10*-8*15\/(-15)*10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 - 277. Suppose l + t = 26. Let f = 467 + l. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.046 - -102.954. Let c = 59862901 + -59863003.999894. Let t = d + c. What is t rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 154232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023128984 rounded to six dps?\nAnswer: -0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0.5, -9, 2\/5 in decreasing order.\nAnswer: 5, 0.5, 2\/5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 at least 532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-6)*(-873)\/(-36). Let g = 32 + w. Which is the closest to g? (a) -6 (b) -3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**3 - 5*y + 1. Suppose -v = 1 - 0. Let j(n) = n**3 + n. Determine v*g(s) - 6*j(s).\nAnswer: 2*s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/(-12))\/((-42)\/21)*112\/16?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15061.38 + -15062. Which is smaller: n or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7653 + -1.7653. Let b be (-4)\/(-6) - 16\/6. Let n be (0 + b\/(-6))*-2. What is the closest to d in -0.5, n, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -291, -288, -285, -282, -279?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 - 226*v**4 + 36*v + 370?\nAnswer: -40*v**3 - 2712*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -3058\/755 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 + 356 = 10*i - 2*u, -15 = 4*i - 5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -21 (c) 1 (d) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/8)*h*h*h*h**(-20)*h)**(-33))**(-4) assuming h is positive.\nAnswer: h**(-4191\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 i when four letters picked without replacement from mmmwwwmwimimwwm.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/9*(20\/(-4))\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjjjbjjbbbbbjbbbj. What is prob of sequence jj?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + o - 29 = 0, 2*m - o = 2*o + 23. Let x = m + 2. Suppose x*y - 11*y = 2. What is the nearest to y in 0.5, 4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(144\/8)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-9) - (-48 + (-25428)\/(-351)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 - 396*y**2 - 13068*y - 143748 = 0. What is y?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2593 - -4507. Let y = z + -1201. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/200 - 101*a**5\/100 + 751*a**4\/40 - 651*a**3\/10 + 1790*a**2. Factor q(h).\nAnswer: 3*(h - 93)*(h - 7)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/4))**(1\/45))**(-31) assuming y is positive.\nAnswer: y**(-31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504 + -5546\/11. Which is the closest to 0.1? (a) 5 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21*18\/4)\/(9\/48). Calculate the greatest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j + 15. Let p(l) = l**3 - 6*l**2 + 7*l - 7. Let i be p(5). Suppose i = n - 1. Put j, n, 1 in increasing order.\nAnswer: j, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-15)\/(-2))\/(1\/6) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -37*t + 742. Determine s(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g - 221928 = -100*g. What is the lowest common multiple of 1 and g?\nAnswer: 7926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 245820\nAnswer: -122910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, a: 5}. Give prob of sequence rr.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1099859*q*v**2 - 342*q*v + 1436*q wrt v?\nAnswer: 2199718*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -31) + (8 - 39) + -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9287, 41, -2, -4 in increasing order.\nAnswer: -4, -2, 41, 9287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412010137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -a - 15, 0 = -w + 5*w - 3*a - 12. Are 12\/7 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 5 + (-20 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (-24 + 39 - -37).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 5*q**2 + 452*q + 2710. What is v(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12021772.\nAnswer: 2, 7, 429349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -19. Suppose -355 - 437 = 44*b. Let j = b + d. Solve 0 = -3*v - 3 + 18, 2*a + 14 = j*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2459 + 2461. Suppose -3*t + 2 = o*k, -2 = 4*t + 9*k - 4*k. Factor -9\/2*b + t - 5\/4*b**2.\nAnswer: -(b + 4)*(5*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132555 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -816 + 836. Solve -5*s = -s - f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4529, 5445, 6365, 7289, 8217, 9149?\n\"Answer: 2*g**2 + 910*g + 3617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120089 rounded to the nearest 1000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 12. Let j be z(-7). Suppose 0 = -3*x + j*s - 86, -1 = 3*s - 4. Let m = -5 - x. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3*i**6\/40 + i**5\/10 + 5*i**4\/8 - i**2\/2 + 22*i + 102. Let t(k) be the second derivative of q(k). Factor t(j).\nAnswer: -3*j*(j + 1)*(3*j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + 3*q)*(-12*q + 3*q + 0*q + 0*q - q + 2*q + (-3 - 2 + 6)*(5*q - 4*q + q))*(22 - 12*q - 8*q + 18*q).\nAnswer: 12*q**3 - 132*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 3*k**2 + k**2 - 10*k - 13 + 12 in the form u + y*k + a*k**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 201482*g - 40594996324.\nAnswer: -(g + 402964)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785879 (base 11) to base 6.\nAnswer: 42501110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 4) to base 11.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m - 3*m + 20*m**2 + 13*m + (1 - 1 + 2*m)*(199*m + 111*m + 133*m) to the form u*m**2 + l*m + b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 443 - -4572420?\nAnswer: 4573063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354516044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 371*n**2*o**2 + 312430*n**2*o + 84664957*n - o**2 wrt n.\nAnswer: 742*o**2 + 624860*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 18*b + 46*b - 15*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 6 = -2*j, 4*j - 6*y + 9 = -9*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b**3\/3 + 7*b**2\/2 + 4*b + 11. Suppose 2*o - 15 = 5*o. Is m(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3)*z)**(-21)\/(z**(-2\/19)\/(z*z**7)) assuming z is positive.\nAnswer: z**(-777\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 65324 divided by -16331\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efxxxxbex. What is prob of picking 1 f and 1 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3 + (26 + 52 - 26)*(3 + 3 - 5) + 0 + 2 + 1)*(0*w**2 + 0*w**2 - w**2)*(1 + 1 + 0) to the form z*w + s*w**2 + b and give s.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 7089 + 40815. Let l = b - -36029\/6. What is the common denominator of l and -137\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -311, 34.\nAnswer: -311, 4, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 673663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z - 4. Let w(d) = d - 1. Let m be w(6). Calculate the remainder when (1 - m)*14\/(-4) is divided by x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0 + 0)*(3 - 3 + 2*x) + 3*x**2 + x**2 - 5*x**2 - 1 + 1 + 2*x**2 + (17*x - 6 + 6)*(-x + 2*x + x).\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75759?\nAnswer: 3, 25253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 278*x**2 + 19069*x + 499. Calculate w(-123).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 279 - 89 - 25*g + 2*g - 96 - 90. Suppose -j + 4*t - 21 = 0, -6 = 4*j + 3*t + 21. Is y(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160210556.\nAnswer: 2, 11, 3641149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228475094 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11746, 11695, 11646, 11599, 11554, 11511, 11470?\nAnswer: 11431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239837 is divided by 506?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from yyyooyyyoyyy.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, 192, 295, 400?\n\"Answer: c**2 + 98*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 15*b + 13. Let h be p(-14). Let o be 15\/15 - h*4. Suppose x - o = -0*x. Calculate the greatest common factor of 20 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 11522.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1392 - 646. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:12 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-12)*70\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 339504063 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - 3419?\nAnswer: -33c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841777.4 hours to milliseconds.\nAnswer: 3030398640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*h - 224*h - 461 = 79 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -6. Let x(f) = -f**3 - 5*f**2 - 11*f - 17. Is x(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(252) + 4)**2 - ((5*(sqrt(35) - sqrt(175)\/sqrt(5)) - sqrt(35))\/sqrt(5))**2.\nAnswer: 72*sqrt(7) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 2 + 1 + 18*h.\nAnswer: 18*h + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114.7 - -115.3972. Let r = 0.7 - g. Round r to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) 0.0864 (b) 1\/2 (c) -2\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 4*o - 1. Suppose 20 = -5*r + 10*r. Give i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91743601 rounded to the nearest 100000?\nAnswer: 91700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/265 (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146128*d**3 + 62686 wrt d?\nAnswer: 438384*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 7, l: 9, s: 1}. What is prob of picking 1 j and 2 i?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 + 0)) + -7 - (69 + (-105 - 5))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 183308601*f*m + 6*m - 1340563 wrt f.\nAnswer: 183308601*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6*s = 21, -3*c = 2*s - 2817 + 2798 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -571 (b) -13 (c) 4 (d) 7 (e) 3\/5 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/54 - 11*c**3\/3 + 4*c - 54. Suppose k(s) = 0. What is s?\nAnswer: 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/9 + 2687*w\/9 - 5378\/9 = 0.\nAnswer: -2689, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2223544 - 0?\nAnswer: -2223544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z - 1. Let p(w) = 18*w**2. Determine f(p(g)).\nAnswer: -288*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50223924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 10:35 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(3*sqrt(648) - sqrt(648)) - (sqrt(13) + sqrt(468) + -1 + 4).\nAnswer: -125*sqrt(13)\/18 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/543 or 9?\nAnswer: -8\/543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -22*t**2 - 177*t + 67. Let a be b(-7). What is the greatest common divisor of 3876 and a?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*u = -84*u + 54672. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 3 - 25*n**3 - 21*n**3 + 47*n**3. Let m(s) be the second derivative of s**4\/4 + s. What is m(u(p))?\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 803615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8747 is divided by 2364.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 33. Which is smaller: -26 or k?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15*t**2 - 2*t + 3. Let n be r(3). Is (-2)\/(4\/n) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -993453, -993368, -993283, -993198, -993113?\n\"Answer: 85*p - 993538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/60 + 13*d**4\/12 - 59*d**3\/6 + 4*d**2 - 18. What is the tens digit of l(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 759 divided by 122\nAnswer: 759\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1173, 5, 32722.\nAnswer: -1173, 5, 32722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*14\/(-12) - (-2)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.3. Let k = 2.014 - 0.014. What is the third biggest value in s, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 34140.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28318 is divided by 858.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133755 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5040 - -5204. Solve -177*s = -r*s - 39 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4\/7 - 15*g**3\/7 - 3*g**2 + 583*g\/7 + 1452\/7 = 0?\nAnswer: -4, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmd when three letters picked without replacement from mbmqfdm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a centimeter?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aannnnnac. Give prob of picking 2 n and 1 a.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(300).\nAnswer: 4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 1\/20*m**5 + 0 + 2*m + 3\/4*m**4 + 27\/2*m**2 + 9\/2*m**3. Determine v so that n(v) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 234 = r. Let d = 755 - 424. Let m = d - r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 373713223 and 16341.\nAnswer: 5447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrrrrfrr. Give prob of sequence frrr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1262)\/(-336) + 15*23\/(-8280). Let 169\/7 + 1\/7*o**2 + g*o = 0. Calculate o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25256, -48896, -72536, -96176?\nAnswer: -119816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 123018.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90192, -180383, -270574, -360765, -450956, -541147?\n\"Answer: -90191*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -45.1, -6, 1, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-507)\/(-27) + 10\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.6*1.92\nAnswer: -18.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48542470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -11697085 and -844778.\nAnswer: -12541863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2804550 and 82\/2625.\nAnswer: 14022750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*b - 2*b**2 - 4*b**2 + 2*b**2 + 210*b.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 106819.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -3.78, 2\/9, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.5739 - -2.9739. Let u = -1.4 - -0.5. Let r = -4.9 - u. Which is the nearest to -2\/5? (a) r (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d - 3*d)*(-42 + 85 + 14).\nAnswer: -114*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y**2 + 2*y - 1. Suppose -4 = 2*u - u. Let w(n) = 37*n**2 - 4*n + 2. Let h(a) = u*w(a) - 9*k(a). What is h(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5178389 or 5178399?\nAnswer: 5178399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**3 + 329 + 194*o - 97*o - 99*o to d*o + s + b*o**3 + a*o**2 and give s.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34a - 13590?\nAnswer: -1392a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**2 - 390*f - 385 = 0.\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3846 - -3777 - (3 + -20 - (-1 + 0)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8159 (base 10) to base 9.\nAnswer: -12165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 637745987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**2 - 93820*k - 440109620 = 0?\nAnswer: -9382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*739403.\nAnswer: 44364.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*r + 16, -9*r - g = -4*r + 14. Let t(j) = -2*j - 6. Let p be t(-4). What is the closest to -0.1 in r, -3, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0045 - -291.0045. Let d = u + -199. Let g = d - 95. Which is the nearest to 0.3? (a) 2\/15 (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-2))\/1*-4. Let q(h) = h**3 + 37*h**2 + 284*h + 12238. Let b be q(-38). Solve -4 - 6 = 2*u + 2*o, n = -b*u + o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pup when three letters picked without replacement from {u: 11, p: 9}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/15 + 4838*v\/3 + 96728\/15 = 0 for v.\nAnswer: -12091, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**(-4\/23)\/(o**(-9\/7)*(o*o**(-1\/8)*o)\/o) assuming o is positive.\nAnswer: o**(-143\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3145.725 rounded to the nearest 10?\nAnswer: -3150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 24 = -4*j, -4*y + 43 = 2*j - 25. Let s be (63\/6)\/(6\/y). Let f = 4758 + -4758. Is s <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731120 is divided by 146221.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38033974.\nAnswer: 2, 11, 101, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1212 and 2121?\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27483 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.75 and -3648?\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 105\/20 - 1\/4. Let g = 11 - i. Solve 3*n - 6 = g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 6. Suppose 0 = -h + 5*h - 88. Calculate the remainder when h is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(sqrt(242) - (sqrt(242) + sqrt(242) + (sqrt(242) + 0)**2 + 4 + sqrt(242))) + (sqrt(242) - (-5 + -3*sqrt(242))) + (1*sqrt(242) - sqrt(242)) + 5.\nAnswer: -2942 - 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, -4, -0.873, -0.04?\nAnswer: -0.873","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22211?\nAnswer: 7, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.3486 + -0.0874. Let j = -0.536 - a. Which is greater: -0.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2377 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 461, 0, 16\/21.\nAnswer: -2\/5, 0, 16\/21, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:33 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7 - 17 + 86 + 2466*a - 29. Is m(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -25*l - 1656. Determine n(-58).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 19*h - 16*h - 37267, -5*h - 3*s + 62093 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5507247 is divided by 1694?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -39. Let c = 44 - q. Let u = 23 - c. What is the nearest to -1 in u, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 63 - 27. Calculate the remainder when 59 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-30))\/(9 + (-174)\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 226 (base 13) to base 12\nAnswer: 26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145750.\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*b**2 + 3 + 7 - 10 + 9*b - 10*b.\nAnswer: -59*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 4*o - o)*(-4 + 4 + 2*o**2) - 2*o**3 + 2*o**3 - 2*o**3 + 12462*o**2 + 124*o**3 - 12462*o**2 as q + f*o**2 + b*o + j*o**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.0900141 seconds to days.\nAnswer: 0.00013993071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.17 and 361.3707.\nAnswer: 361.2007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/21 - 10\/21. Which is the closest to -1\/3? (a) k (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49\/60)\/((-24458)\/17470)\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1067423 > -1067421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*544.9.\nAnswer: 108.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31692847 is divided by 31317.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-22) + (-35)\/11. Put -1, h, -2\/3 in decreasing order.\nAnswer: -2\/3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8001263050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*z = f - 13, 5*f - 11 = z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/6 - x**2. Let y(u) = -2*u + 3. Let t be y(2). List the prime factors of p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/((-1512)\/(-105))*1*-1*(-342)\/76\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:15 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 + 29*c + 64. Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 - 4*w. Let s(r) = -2*r**3 + 2*r**2 - 7*r. Let i = 2 - 0. Let p be 2\/(-8) + (-9)\/12. Let t = i - p. Calculate t*s(z) - 5*j(z).\nAnswer: -z**3 + z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 + 37?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 4614813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 2*v)*(-2 - 1 + 4) + 458 - 639*v - 912 + 453.\nAnswer: -638*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 2. Determine o(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**43*m)\/(m*(m**(3\/13)*m*m*m)\/m) assuming m is positive.\nAnswer: m**(530\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -8, 1, 0.5, -4790, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 362995 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 27. Let w be (-16)\/72 + (-20)\/(-9). What is the highest common factor of b and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*d = -18, -s + 4*s + 4*d = 13. Let g be (6*(-3)\/(-24))\/(s\/(-40)). Let w = 33 - g. Which is bigger: 10 or w?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4 - 9*b - 8 + 7*b. Suppose -7*u + 6 = -15. Calculate the remainder when f(-10) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(18\/15))\/((-46)\/23)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + 7. Let k = -16.4 + j. Let i = k + -10. Which is the third smallest value? (a) -4 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 1. Let n = -15 + 11. Let k be q(n). Suppose -k*z - 3750000 = 2*z. What is z rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1500 and 300?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 7*a**2 + 9*a - 26. Give x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-3)\/(-2))\/(9\/24) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 606*x - 63. What is w(0)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - (1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 60776517?\nAnswer: 60776516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 401 and 476789.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let d(w) = 10 + 4*w - 20 - 3*w + 8. Let i(f) = -d(f) - 2*h(f). What are the prime factors of i(-16)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q - 45 = 36*q. Calculate the lowest common multiple of q and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 65?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1702 times 46144?\nAnswer: -7853.7088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442 (base 6) in base 10?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 12, -b - 15 = -44*k + 42*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 + 5*h**2 - 8*h - 11. Let r(f) = -f**3 - 1. Let q(i) = -l(i) + 5*r(i). Suppose 7*o - 3*o + 24 = 0. Calculate q(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 377065180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85 + 5?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xccxccx. Give prob of sequence xcxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164445 and 72?\nAnswer: 3946680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -58cb (base 16) to base 12\nAnswer: -111a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2. Let u(b) = -b**2 + b + 7. Let i be u(0). Let y(z) = 3*z**2 + i - 7 - z**2. Calculate y(w(m)).\nAnswer: 98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-31))\/a**(-3\/19) assuming a is positive.\nAnswer: a**(-529\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/(p*p*p\/p**(-2))*(p*p**(-2\/7))**6 assuming p is positive.\nAnswer: p**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*h = -245*h - 6690 + 1355 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h. Let f(j) = -6*j**2. Let k(x) = x**2. Let p(z) = -3*f(z) - 15*k(z). Give p(n(w)).\nAnswer: 147*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (11 + -6 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q**2 - 13*q - 163. Let d(b) = -4*b**2 + 7*b + 81. Let z = -399 + 403. Let c(x) = z*i(x) + 9*d(x). What is the derivative of c(s) wrt s?\nAnswer: -8*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + 1 - -2) - (-43 - -51).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 2*n**4 + n**3 - 35 + 35 - 26*n**4 + (-n**2 + 4*n**2 - 2*n**2)*(n - n - n**2) + 0*n**3 + 0*n**3 - 2*n**4.\nAnswer: -31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -27528?\nAnswer: -27523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*a - 79*a - 48 = 3*g, 39 = g + 4*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 196\/(-11) + (-26)\/143. Let s be (-75)\/v - (-6)\/(-36). Let d = 11183\/209 - 588\/11. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5\/3 - 34*p**4\/3 - 82*p**3\/3 + 214*p**2\/3 + 26*p - 60 = 0 for p.\nAnswer: -3, -1, 1, 3\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*u**2 - 2421*u**2 + 602*u**2 + 599*u**2 + 648*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-14) - (-11)\/2. Suppose -l + 9 = 3*s, -6*s + s + 45 = a*l. What is the greatest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 16*d**4 - 27*d**2 - 2. Let y(s) = s**4 - s**2 - 1. Let k(w) = r(w) - 2*y(w). What is the third derivative of k(o) wrt o?\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/(-60) - (-1)\/(7 - 4). What is the third biggest value in -4\/23, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261236 is divided by 17517?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 214 = 2*f, -r + 112 = f + 11. What is the remainder when 138 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496 - 391 = -15*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39007993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t + 12 = 0. Let y(c) = -1 - c**2 - t + 3 + 8*c. Let a(i) = 6*i**2 + 202*i + 867. Let l be a(-5). Determine y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 693, 1377, 2049, 2703, 3333, 3933, 4497, 5019?\n\"Answer: -g**3 + 691*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7236341329.\nAnswer: 7, 17, 97, 773, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -486, -496, -494, -474, -430, -356, -246, -94?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 85 = 8*t. Which is greater: t or 52\/23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 17}. What is prob of picking 3 z and 1 x?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 5*x + 2. Let k be l(-3). Find the third derivative of 3*o**4 - 15*o**2 - o**4 + k*o**2 wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3 + 2)\/1)\/(13\/1222). Suppose 228 = -3*v + h, 3*h - 13 = -4. Let f = v - i. Calculate the greatest common divisor of 152 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*j - 13 = j, -4*j - 16 = -4*y. Let i be -2*(-3)\/2 - 123\/(-41). Find the common denominator of 79\/10 and y\/((-308)\/(-711)) + i\/21.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8342 by -9340.\nAnswer: -4171\/4670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5276072230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-520)\/156*12*(22\/20 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39056 - 39060. Let u = 16167\/9290 - 218477141\/8388870. Let d = u - 9\/301. Find the common denominator of p and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + -8 + -4 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*y - 27 = -6, -2*y = 3*f + 14 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*w**2 - 216*w**2 - 5 + 433*w**2 + 5.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-88)\/(-9))\/((-6)\/(-45)). Let h = -72 + s. What is the second smallest value in 0, h, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 238*x**5\/5 + 14*x**3 - x**2\/2 - 279. Find the third derivative of u(n) wrt n.\nAnswer: 5712*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**8\/4200 + m**7\/700 - m**5\/75 - 4*m**3\/3 - 3. Let l(k) be the third derivative of f(k). Factor l(x).\nAnswer: -2*x*(x - 2)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 + 0 + f - 3.\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3449*h - 1707*h - 1723*h - 112. Calculate u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146*y - 322*y + 58*y + (-2 - 2 + 6)*(0*y - 3*y + 2*y) + 1 - 3*y - 1.\nAnswer: -123*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j - 1. Let r(o) = -7*o**3 - 4*o**2 + 7*o - 7. Let c(s) = r(s) + 4*t(s). Let i be c(4). Is 9\/(-6)*8\/(-6) - i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 89 = -85. Let t(w) be the second derivative of w**5\/10 - w**4\/3 + w**3\/3 + w**2\/2 + w. Let h be t(j). Put -4, -5, h in ascending order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 22*j**2 - 26*j + 28. Let m be b(12). Sort m, 3, 0, 6 in descending order.\nAnswer: 6, m, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 9*s**2 - s - 9. Let h(j) = -j**3 - 6*j**2 - j + 11. Let p be h(-5). Let f be w(p). Which is the second biggest value? (a) f (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/9)\/((14300\/(-390))\/(-110)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 223 = 3*s, -s = -5*u - 87. Let f = s + -76. Suppose 5*v - 2*v = 6. Which is greater: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9430730 - -22230730. Suppose 0*p + b = 2*p. Round p to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-4) + (-6264)\/(-1392). Let t(u) = -u**2 + 2*u - 10. Give t(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(78))\/sqrt(6).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144581052569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021423 + 3430?\nAnswer: 1030403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:01 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**2 - z**2 + 2*z**2 + (4 - 3 + 0)*(-2*z**2 + 0 + 0) + (-2*z**2 + z**2 - z**2)*(46 - 22 - 21) as v*z + b + l*z**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 1, r: 1, h: 1, c: 2, a: 2}. What is prob of picking 2 c, 1 h, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 43 = 8, -s + 23 = 21*c + 4*c - 21*c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 21*q**2 - 7*q. Let h(z) = -45889*z. Give n(h(y)).\nAnswer: 44221806741*y**2 + 321223*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5 + 28*l**4 - 114*l**3 - 148*l**2 + 904*l - 816 = 0.\nAnswer: -17, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44705980 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5710 divided by -26?\nAnswer: 2855\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66006 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 divided by -8?\nAnswer: 129\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 324679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 32 + 31 + 18 + 12*j - 10*j**3. Is q(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110001 + 11121201?\nAnswer: 11011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, d: 1, z: 2, h: 2, i: 7, x: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -196 - -200. Find the third derivative of 2*t**3 + 3*t**2 - t**3 - 2*t**2 + 4*t**4 + x + t**4 wrt t.\nAnswer: 120*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 22 = 3*j, 2 = 3*j - 0*y + 2*y. What is the first derivative of 6 - j - 10 + 32 - 17*m wrt m?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 616, 843, 1070?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -3\/5, 2\/31, 2, 617 in ascending order.\nAnswer: -3, -3\/5, 2\/31, 0.3, 2, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4428, 3, 5, -2, -56 in decreasing order.\nAnswer: 5, 3, 1, -2, -56, -4428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-647 - 115 + 90)*(2*b + 2*b - 6*b) + (5 + b - 5)*(1 - 5 + 2) - b + b - 2*b to the form d*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1024) - ((sqrt(1024) - (2*sqrt(1024) - sqrt(1024))) + sqrt(1024)))\/(sqrt(4)\/(sqrt(2) + 3*sqrt(2)))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*j**(2\/11))\/(j**(-1)*j*j**(2\/9)) assuming j is positive.\nAnswer: j**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4119, -0.1, 2\/17 in descending order.\nAnswer: 2\/17, -0.1, -4119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**3*u**5 - 11*l**3*u**2 - 5*l**2*u**4 - 34*l*u**2 wrt u?\nAnswer: 300*l**3*u**2 - 120*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from tttuntnttuhntnuttnuv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*k - 253*k - 187*k**2 - 20832 + 186*k**2.\nAnswer: -k**2 - 20832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 357 = 1067. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -11. What is the first derivative of n**2 - w*n**2 - 9 - 5*n**2 wrt n?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*s**2 - 378*s + 904*s**2 + 122*s**2 + 2 + 957*s**2 - 1 wrt s.\nAnswer: 3698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.39 (c) -0.2 (d) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54183 from -0.4.\nAnswer: 54182.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*n - 2*n - 6*n, -5*n - 16 = 2*z + 26 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2158\/1657 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 25. List the prime factors of 16\/(-4) - h\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*y - 2*h, -y = 9*h - 10*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8117, -16246, -24387, -32540, -40705, -48882?\n\"Answer: -6*a**2 - 8111*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 2573989592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5. Let w = -11\/18 - 13\/18. Which is the second biggest value? (a) w (b) -1\/7 (c) 3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 9) + 5 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 130*j + 3213 = 63*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxvvvtvvgxvxvvxxs. Give prob of sequence sv.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49027 * 0.1.\nAnswer: 4902.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2 + 12*v**2 - v - 7*v - 5*v. Let m(k) = 12*k**2 - 14*k + 3. Let j(n) = -3*h(n) + 2*m(n). What is the second derivative of j(z) wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 8, 18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(8\/9))\/((f*f**40*f*f)\/f) assuming f is positive.\nAnswer: f**(-377\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 4. Suppose -4*g + 48 = t*w, 3*w + 7 = 3*g + 19. What is the greatest common factor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(-8) - (-6)\/24. Determine u so that -3*u**3 + p*u**2 + 3*u - 7*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - c + 2. Let p be b(0). Suppose -2*w - 113 = -5*k, 3*w - 58 = -p*k + 7*w. What is the remainder when k is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/2*(-15)\/6. Let w(l) = -l**2 + 4 - y + 3*l + 0. Let c be -2 - (-4 + 1\/1). Determine w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6714 and -101\/557262.\nAnswer: 557262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 25274?\nAnswer: -1\/25274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 21. Let d = 5491 + -5488. Let b(t) = -t - 10. Determine d*y(j) + 7*b(j).\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1699263, -3398512, -5097749, -6796974, -8496187, -10195388?\n\"Answer: 6*o**2 - 1699267*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - j - 1. Let p(l) = 7*l**2 - 4*l - 5. What is -5*m(t) + p(t)?\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*(-54)\/(-1683))\/(((-8)\/34)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2195, -2367, -2537, -2705?\nAnswer: -2871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 485, -1, -4 in decreasing order.\nAnswer: 485, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 642255596.09 + -0.6?\nAnswer: 642255595.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 divided by 59?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/8)\/(3\/(-786)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 13 = 2*q - 13, -141 = 5*s + q. Let d = -23 - s. Suppose 2*c = -k + 516, 80 = -2*c - d*k + 588. Is 51 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 936 and 264.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**4 + 56*n**3 - 172*n**2 - 2816*n + 5808 = 0.\nAnswer: -11, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1377))**2 - sqrt(1377)) + (sqrt(187) + sqrt(187) + 3*sqrt(187) + sqrt(187))\/sqrt(11).\nAnswer: -3*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28642 or -29427?\nAnswer: -28642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -3, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*i - 17212, 2*i - 30932 = -4*f - 7978. Let b = f - 2362. Let q be (15\/4)\/(2 - 6746\/b). What is q rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2. Suppose -g + 0*u = -2*u + 10, 0 = -2*g + u - 8. Let j(f) = 32*f**2 - 1. Let v(y) = g*j(y) + 9*a(y). What is the derivative of v(q) wrt q?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 8:55 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ossggggh. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 50. Let t(p) = -4*p - 70. Let y(h) = -5*t(h) - 7*u(h). Let m(i) = -1069*i. What is y(m(k))?\nAnswer: 1069*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqznnzizfhhq. Give prob of picking 1 f, 1 i, and 1 q.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775835071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 5. Let u(r) = 5*r - 8. Let a(v) = -8*t(v) + 5*u(v). Let q(s) = 4*s. Calculate -6*a(w) + q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 3. Let u = w - 1. Let l = 14 + -10. Sort l, -1, u.\nAnswer: u, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwpllliliimpplipp. What is prob of picking 1 i, 1 m, and 1 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -4 (c) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3458 + 0.2358. Is -2\/71 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 2*z - 8*z)*(z + 4 - 4)*(706*z**2 - 4*z - 715*z**2 - 4*z) as j + d*z + c*z**3 + g*z**2 + m*z**4 and give c.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 6:36 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {o: 3, w: 1, d: 1, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -6*j - 3. List the prime factors of q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 22*l + 15. What is the units digit of v(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*n - 9. Suppose -n*u + 903 = 2*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 - 0.727.\nAnswer: -184.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*d**4 - 129165*d**3 - 2979815*d**2 + 662910*d + 429640 = 0. What is d?\nAnswer: -23, -2\/7, 1\/2, 1868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-39)\/(-208)). Suppose o = n - j, -3*n = -2*n + 2*o - 20. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*w - 18*w - 30*w)*(-11*w**2 - 9*w**2 - 6*w**2)*(-w**2 + 0*w + 0*w).\nAnswer: -1872*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2861\/45 + (-6)\/(-27). Let l = p + -62. Find the common denominator of l and -8\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 10*i**2 - 10*i + 13. Let s be (-189)\/27 + 2 + -6. What is n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14515088 and 504?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.132+0.13092732\nAnswer: -0.00107268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 724\/7 + 953\/14. Let n = x - 4455\/26. Let k = 33.1 - 33. Which is the closest to 1? (a) n (b) -1\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5*y = 4*m - 13, 4*y = -2*m. Is 43*3\/6*m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5501421 is divided by 2750698.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48.804, 0, -0.4 in descending order.\nAnswer: 48.804, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1291, -1175, -847, -199, 877?\n\"Answer: 18*s**3 - 2*s**2 - 4*s - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/27)*l**(2\/29)\/l)**(-13))**(2\/35))**(2\/13) assuming l is positive.\nAnswer: l**(3148\/27405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**2*w**3 + 12*c**2*w + 31185*c*w**5 + 30*c*w + 14*c wrt w?\nAnswer: -36*c**2*w + 623700*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 + 14*n**2 - n - 16*n**2. Let w be c(-1). Does w = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -64 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2\/3, 2, 0.1, -4.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*s**2 + 115992*j**3*s + 19148*s**2 wrt j.\nAnswer: 6*j**2*s**2 + 347976*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 1360, 1407, 1456, 1507?\nAnswer: 1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - -61) + (-1)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -87*j - 244. What is the remainder when 976 is divided by f(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201023 - 2?\nAnswer: 201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t + 5*t**2 - 5*t**2 + 12*t**2 - 80 + 5*t - 11*t**2 = 0.\nAnswer: -16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4. Solve 10 = f*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/4 (c) 0.3 (d) 4 (e) -364\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117.99*-0.07.\nAnswer: -8.2593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 56*i = -52*i + 1695932, i + 847960 = 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose p = 3*i + i - 104. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -28889*a + 1. Suppose 0 = x - 5*x + 36. Let v = 18 - x. Let u be q(v). Round u to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*v**2 + 694*v**2 - 1 + 438*v**3 + 1.\nAnswer: 438*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) 406\/9 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25405\/160778 + -1\/8462. Let t = -10.9 - -11. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 - ((-3 - -1) + -1). Let f = i + -8. Suppose -c + f*c = 20. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31939\/18 + -1773. Is 2 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1605032 and 113\/1992260.\nAnswer: 569786360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -4.835\nAnswer: 19.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -5, -3\/917, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28302889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23777, -1.\nAnswer: -23777, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35628, -71257, -106886, -142515?\nAnswer: -178144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1 + 1)*-3)**2 + -2 + -3 + (-3 + sqrt(567))**2.\nAnswer: 162*sqrt(7) + 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -20. Let f be 4\/(-141)*y\/(-16). Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.29 + 24.71. Let h = j + -25.054. Let n = h + 8.454. What is n rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 + 3*m - 6. Let p be z(3). Suppose -4*o + 240 = -2*n - 2*n, -o = -p*n - 50. What is the remainder when o is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*x - 570, 4*x = 5*l - 769 + 164. What is the greatest common factor of l and 42003?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*u - 896*u = -1458450. Is 131 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let o(c) = -c + 1. Let b(v) = v**3 - 4*v + 5. Let x(p) = -b(p) + 4*o(p). Let h(l) be the first derivative of x(l). What is h(i(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2))\/b)\/b)**(-1\/6)*(b**2)**(-10) assuming b is positive.\nAnswer: b**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r - 2. Let g = 2 + 26. Let w = 21 - g. Let p be 1 + 2 + 9 + w. Determine y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 119 + 53 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1265 - -1265. Let h(m) be the third derivative of 0*m**5 + 0*m**3 + n*m - 1\/24*m**6 + 0 - 3\/8*m**4 + 10*m**2. Find the second derivative of h(c) wrt c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 5, t: 8, l: 2}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 371342?\nAnswer: -37134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10486.861419 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let u(z) = -46*z. Give i(u(j)).\nAnswer: -92*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2 + d - 2 - 3. Let k be r(7). Solve k*w - 8 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w + 1. Let a be m(-1). Let f(j) = -11 + 4 - 3*j**2 + 15 - 4*j**3 - 8*j + j**3. Let t(c) = -2*c**3 - 2*c**2 - 5*c + 5. Give a*t(g) + 5*f(g).\nAnswer: g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2995.9.\nAnswer: 5991.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53026992 and 8496?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.5 and 1.48898762.\nAnswer: -3.01101238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1155 times -4974\nAnswer: -5744970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppspspppspspspss. What is prob of picking 1 s and 1 p?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 - 74*u - 20. Let d be r(-12). Solve g = -0*q - 3*q - 9, d*g - q - 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7002245 at least -91029196\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138.9 - -24.1. Let p = -43120222.999877 + 43120386. Let i = u - p. What is i rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 41*x**7\/21 - 27*x**6\/5 + 39*x**5\/10 + x**4\/6 + 152*x. Solve y(n) = 0.\nAnswer: -1\/41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 67*n**2 - 2*n + 3. Let u(o) = 133*o**2 - 4*o + 7. Give -9*t(a) + 4*u(a).\nAnswer: -71*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2, -14, -5, -4, -3 in decreasing order.\nAnswer: 18, -2, -3, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.76?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/((-42)\/252 + (-5)\/(-120)). Solve -p + i = -w, -8*p = -w - 13*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 666 + 424 - 343 - 2509 - 146 to x*t**2 + f + k*t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879960 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(272)).\nAnswer: 12 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-423936)\/128)\/184*-1*5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -17) + -7 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1cba37 (base 14) to base 10\nAnswer: -1031009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)*q*q**(2\/5)\/q)\/(q**7*q**(2\/5)*q))**(-5\/3))**(-2\/9) assuming q is positive.\nAnswer: q**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 - 17385*i**2 - 15155280*i - 75342400 = 0.\nAnswer: -1736, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164203, 1314469, 4436623, 10516609, 20540371?\nAnswer: 35493853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:49 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4.9 or 15118705?\nAnswer: 15118705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2019, -2529, -3933, -6681, -11223, -18009, -27489?\nAnswer: -40113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 27. Let g = v + -3. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h + 6*h**3 + 33*h - 2*h**4 - 2*h**2 - 47*h as m*h**2 + x*h + a + z*h**3 + y*h**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -3295962?\nAnswer: 3295962.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1232953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62978 and 51.75.\nAnswer: 63029.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 456292340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 94258 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c + 23 = -5*r + 34*c, 4*r - 3*c + 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -143735, -143664, -143593?\n\"Answer: 71*q - 143806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let q be i - 0*(-2 + 3). Suppose -q*o + 4*p = -36, -2*o - 9 = -3*o + 3*p. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5095 is divided by 558.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31 - 2\/(-4)*2. Suppose -a = -0*k - 4*k. Solve g + k = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1125508 rounded to 3 decimal places?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:30 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4*k**2 - 5*k + 3 - 2*k + 6*k**2. Let l be 3\/15*5*7. What is h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(7)*-5 - sqrt(7))*5 - (-5*sqrt(7)*-5)**2) + 3*sqrt(4032)*4.\nAnswer: -4375 + 263*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -440, 10 in decreasing order.\nAnswer: 10, -2, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804906.\nAnswer: 2, 367, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2408178, -9632707, -21673590, -38530827, -60204418, -86694363, -118000662?\n\"Answer: -2408177*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 + 15 = b, -b + 2*z = -12. Solve x - b*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17232584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522227 is divided by 3244?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 28053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15567578 and 71968.\nAnswer: 4498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l. Let s(p) = 48*p. What is y(s(t))?\nAnswer: 288*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 82\/4 - 2\/4. Suppose g = 5*m - 0*m. What is the units digit of m\/16 - (-27)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1331 = 2*w, 534 = -3*w - 3*j - 1458. Suppose -6*f = -f - 6230. Let k = f + w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -519\nAnswer: -2076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*f + 2. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -21*u**2 + 3*u - 11. Let j be h(6). Let k = -243 - j. Calculate the greatest common factor of 46 and k.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 30*o**3 + 18*o - 18. Let m(l) be the third derivative of -l**6\/120 - l**4\/24 + l**3\/6 + 206*l**2. Calculate -18*m(j) - y(j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 1232 = 8*r. Let k = r - -567. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 95\/30) + 0.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293906255?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 571*f - 561*f - 2*f**4 + 4*f**4 - 3*f**4 + (f**2 - 4*f**2 + f**2)*(-18 + 18 - 3*f**2).\nAnswer: 5*f**4 + 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 11709*u**2\/4 - 23427*u\/4 - 11715\/4.\nAnswer: 3*(u - 3905)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*f + 20 = -569*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 3:33 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 + p + 2. Let s(d) = 14*d**2 + 3*d + 6. Give -8*k(n) + 3*s(n).\nAnswer: 2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40.5 + 38.5. Let x = 0.083 + -4.183. Let a = x + 4. What is the closest to a in v, -2\/11, -4\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 11. Suppose 0 = 4*n + 20 - l. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*g + 15 = -6*g, -2*g + 30 = 4*x. What is the units digit of (3 - 2\/2)*1285\/x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/13, -31, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 3. Let m be 0\/(1\/((-1)\/w)). Let c(s) = -s**2 - s + 15. What is the units digit of c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 61\/(-2) + -5*10\/(-100)*1. Let d be 30198\/(-436)*(-9)\/(-21). Let r = d + 20\/109. Do r and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/84 + (-1 - 14310\/(-42)). What is the highest common divisor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:56 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/14)*k\/((k*(k\/(k**(-2\/7)*k))\/k*k)\/k*k) assuming k is positive.\nAnswer: 1\/sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = v - 1 - 9, -5*u + 5*v = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 21 - 80*f + 9 + 60*f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -507671.\nAnswer: 18\/507671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 10005959?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111201 (base 3) to base 6\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {u: 2, z: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 12 = -2*k + 3*l, 0 = 4*k + 7*l + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 0 - (28 - 1185\/35). Let z(k) = -k - 1. Let l be z(-1). Which is the second smallest value? (a) l (b) -1\/8 (c) t (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**4\/24 + z**2. Let t(g) = -86 + 86 - 3*g. Determine t(s(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) + 2568\/(-40)*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 2416*t + 176. What is s(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 214, -2\/5, 11.6?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 10 = -13*p. Calculate the least common multiple of 4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - h + 44, -30*h - 44 = -2*v - 27*h. Solve 8*g - v = 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410868438 to the power of 1\/3, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 68*a + 4656 = 59*a. Solve -8125*p + 8117*p + a = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1795\/3 + -12379\/21. Let j = 586\/63 - q. Is -1 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -803.04 + 803. Which is the closest to 0? (a) 0.09 (b) 0 (c) 2\/9 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**3\/3 - 3*w**2\/2 - 3*w + 1. Suppose -r + 0*r - 7 = 2*x, 2*x + 13 = -3*r. Give p(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-61888)\/(-52) + (-6)\/39. Let m = s + -121. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.041, 2, -1\/6, -10?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Suppose -6*x + 9 = -9. Let u be x*(3\/(-12))\/((-6)\/(-32)). Suppose -2 = -3*l + 1. Let h(v) = -v**2 + 3*v + 3. Determine l*h(t) + u*d(t).\nAnswer: -t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -257.296 + 256. What is j rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -606340 (base 12) to base 6.\nAnswer: -52122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -145475 divided by -6325?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3163 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 3*p**5\/10 + 7*p**4\/6 + 2*p**3\/3 + 8*p. Factor k(l).\nAnswer: 2*l*(l + 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*(-10 - -11)*-3. Let h = 3 + r. Suppose -2*c - 2*c - 4*y = -28, 29 = 2*c - 3*y. Solve -a + 5 = 2*z, -1 = -h*z + a + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69209*k**2*m**2 - 5*k**2*m + 7*k**2 + 4*k*m**2 - 6*k*m - 246*k - 2*m wrt m?\nAnswer: 138418*k**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - 11.82. Let t = s - -11.6. Let b be (-4)\/(-6) - 5\/12. What is the biggest value in 2\/9, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 + 5*v + 47. Let z(o) = -4*o**2 + 3*o + 23. Let l(s) = 3*q(s) - 5*z(s). Let c be l(0). Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 - -2 - 8) - (-20 + 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 232581000 rounded to the nearest one million?\nAnswer: 233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6731096 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2\/8 + (-1)\/(-4)). Let o(y) be the second derivative of -y**2 + 0 + p*y - 1\/6*y**3. Calculate o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -11. Suppose 0 = -d + 4*d + w + 3, 2*d + 5*w + v = 0. Suppose -2*g - 2*g = 3*l - 71, -4*g - 2*l + 74 = d. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:10 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 150.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 4*c, 16 = 2*t + 4*c. Solve 5*d + 2*a - t = 21, 5*a - 30 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36278769 rounded to three dps?\nAnswer: -0.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132553 - 132553.5. Let y = -2.6 - -3. Which is the nearest to -1? (a) -0.3 (b) y (c) j (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/14457 and 83\/122?\nAnswer: 28914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 3. Let i(b) = 4*b - 4 - 12*b**2 + 8*b**2 + 3*b**2. Calculate -3*i(o) - 4*x(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 13*y**4\/24 + 19*y**3\/2 + 2*y**2 - 12. Let p be v(-4). Solve 5*s + 16 = -o, -4*s = p*o - 6 + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, c: 6}. Give prob of picking 3 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 127784283 to the nearest ten thousand.\nAnswer: 127780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 13. What is w(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*i = -2, -3*i + i = 5*a + 40. Let v = 15 + a. Suppose -4*t - 20 = 2*d, v*t + 25 = -4*d + 4*t. Let w(g) = g + 12. Calculate w(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 15 = -v. Let t(s) = 25*s**3 - s**2 + 3*s - 2. Let k be t(1). Let g = v + k. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4334897 to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m + 1. Let s(z) = -5*z**2 + 7*z - 9. Let w(r) = s(r) + 4*t(r). Let i be w(8). Solve -5*j - 4 + i = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 3:17 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 10*g - 1. Let v be (2 - 0)\/(26\/260). Let z be (v\/2)\/((-14)\/7). What is the tens digit of h(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**3\/2 - 4*i**2 + i. List the prime factors of n(14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37325 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 5*q**4\/6 + 48*q**3 - 29*q**2 - 8*q + 222. Let i(m) = 0. What is m?\nAnswer: -29, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.32, 17.4, 2.6 in descending order.\nAnswer: 17.4, 3, 2.6, -0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*v + v - 37, -2*r + 6 = 0. Suppose 0 = -j - 4*j + v. Suppose -3*c**2 + 4*c + j + 2*c**2 + 1 + 3*c**2 = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -867 at least -868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2193*g + 1657895. Calculate u(-756).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-28))\/((-3)\/(-3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r = -30*r - 2*a, 5*r = -4*a + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0941 + 27.5459. Let k = i + -28. What is k rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -726e + -4b?\nAnswer: -72ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 4*n = 3*n. What is the nearest to n in 2, -26\/7, -4, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x - 3 - 1 - 2 + 19*x. Let n be h(-5). Let f = 71 + n. Which is the third biggest value? (a) -4 (b) f (c) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 804*k**2 - 6328*k + 9453. Give o(394).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2 + 78*p - 504 = 0.\nAnswer: 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 10:42 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5 + 1796*h**4 + 173200*h**3 + 1150160*h**2 + 2264896*h + 1286144 = 0?\nAnswer: -314, -128, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 4. Let g be n(4). Suppose -12*y + 16*y - 8 = g. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 36*n + 2. Let y(x) = -3*x - 31882. Determine m(y(g)).\nAnswer: -108*g - 1147750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 5*z + 12. Calculate y(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1.9 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3666 by 12.\nAnswer: 611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 0. Let s = y + 136. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x**(7\/4))\/(x*x\/(x**(-1)\/x))**(3\/8) assuming x is positive.\nAnswer: x**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(243) + (sqrt(243) - 1*sqrt(243)))**2*4*2 + 0)*1.\nAnswer: -5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-4)*20\/(-75)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 98464\/24616*1\/(-2)*(-1*81)\/(-3)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 5*k**3\/6 - 3*k**2 - 2*k. Let g(m) = 6*m - 6. Let z(u) = 4*f(u) - 3*g(u). Differentiate z(b) with respect to b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410101 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t - 51*t + 6*t + t to i*t + z and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -133\/313545?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10825187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*p - 149*p - 792 = 28*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327 + 2*a - 3*a - 252.\nAnswer: -a - 579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14850908 is divided by 20484.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14041*u**3 + 9548*u**2.\nAnswer: -84246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-1053)*((1 - (-18)\/8) + -4)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 + 1408\/1152. Put 666, -5, o, -3 in ascending order.\nAnswer: -5, -3, o, 666","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 8*l + 7. Let w(y) = y**3 + 4*y + 3. Let x(i) = -i**2 - 55*i - 707. Let g be x(-20). Determine g*w(t) + 3*r(t).\nAnswer: -4*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/3 - 440*a\/3 + 48400\/3 = 0. What is a?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 0*c**3 - 2*c**3 + (-c - 2*c + 2*c)*(416*c**2 - 180*c**2 - 186*c**2) - c**3 - 5 + 5.\nAnswer: -52*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1905 and 3735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14323 - 14377 + 2*t + 6*t)*(16*t**2 + t**2 - 11*t**2)*(-3*t + 0*t + 3 + 2*t) to the form g*t**2 + i*t**4 + u + l*t**3 + y*t and give g.\nAnswer: -972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:07 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 32*z = 28*z + 68, -3*u + 4*z + 72 = 0. What is the greatest common factor of u and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27074, -54150, -81216, -108266, -135294, -162294?\n\"Answer: b**3 - b**2 - 27080*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - u + 4*u + 7, -4*n = 5*u + 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 228*g + 4781. Determine q(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((3\/48*12)\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -237 * 0.2429\nAnswer: -57.5673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 6:32 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369 and 6683?\nAnswer: 60147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qar when three letters picked without replacement from {q: 1, k: 2, a: 1, y: 2, u: 1, r: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 205033180*q - 10509651225228100.\nAnswer: -(q + 102516590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c - 12 + 33 + 14*c.\nAnswer: c + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -2 - 6) + 3. Suppose w = -m + 4. Solve m*l - 9 = l, 15 = -4*j + 5*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3208, 3212, 3216, 3220?\nAnswer: 3224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 4*g**2 + 2*g - 2. Let f be a(4). Let b = -40 - f. Calculate the lowest common multiple of b and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*f = 4924, -3*t + 5*f - 550 = 2397. Let c = t - -1619. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-2))\/((-5)\/(-5)). Let s = 27137\/34 - 798. Which is bigger: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.055 - -0.255. What is the closest to -0.2 in l, 1\/6, 16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukoerem. Give prob of sequence eru.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 - (-26949)\/12*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/2 and ((-4)\/((-12)\/(-201)))\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1848 and 352.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 69?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27417 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 101. Calculate the greatest common factor of y and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 2\/15 (c) 5 (d) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/9 + (-2)\/(-3). What is the second derivative of 2*r + f*r - 5*r**5 - r + r**5 wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 663*v - 5170. Calculate a(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 - 51 = 0. Let w(h) = -12*h + 43. Let p be w(4). Sort p, 2, j.\nAnswer: j, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 225640107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) -2 (c) -0.059 (d) 1\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5, 4*w - 2 + 1 = -t. Suppose 8 = u + 3*l - 2, 26 = 5*u + 3*l. Let i(a) = 3*a**2 - 3*a**2 - u + a**2. What is i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + 182 = 5*y, -4*y + 138 = -3*z. What is the greatest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-28) - 328\/720.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48602, 48603, 48604, 48605, 48606, 48607?\n\"Answer: w + 48601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.00701145998?\nAnswer: -0.99298854002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 552 = -510. Let i(l) = 20*l**2 + 12*l - 57. Is i(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56119 divided by 11\nAnswer: -56119\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1592300 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185739683?\nAnswer: 1487, 124909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 27950 - 3*x + 9444.\nAnswer: 2*x + 37394","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 1 = 0, 0 = -4*d - 5*y - 23. Let h = d - -10. Let u(p) = p**3 - 2*p**2 - p - 1. Give u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in nineteen sevenths of a week?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1769 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -20. Solve -4*h - 4*p = 16, 3*h + y*h = -3*p - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31787292 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10656 divided by 2664\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -5\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/3304 and -19\/4012.\nAnswer: 56168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -52. Suppose u*w + 12 = 4*z - w, 5*z - 15 = -w. What is the tens digit of (-300)\/9*(6\/(-4) - z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 389 and 182830.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 120320 (base 9) to base 13\nAnswer: 26c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 12*b - 7. Let p be d(9). Let s be ((-6)\/15)\/((-2)\/p). Suppose s*l = -y + 35, -y - 4*y + 22 = 3*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-240)*104*2\/1. What is the second derivative of -9*h - 115*h**2 - 14 + z - 2*h wrt h?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211110 (base 5) in base 11?\nAnswer: -16026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43511 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 - 95. Solve -3*q + 3*v = 0, 4*q = i*q - 4*v + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4524493334?\nAnswer: 2, 2262246667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144369 is divided by 144057?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -623 + 627. Let f = -5 + 8. Suppose -2*d - d = -f. Sort d, 0, v in descending order.\nAnswer: v, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000140932783 to 6 dps.\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 950560 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**4\/5 + 48*a**3\/5 + 108*a**2\/5 = 0.\nAnswer: -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9))**(-20\/3)\/((q*q*q**(-5)*q*q)\/q**(-6)) assuming q is positive.\nAnswer: q**(-95\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2, -28 in decreasing order.\nAnswer: 4, 2, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*r = -b - 88, 4*b + 4*r = 180. Let i = b - 6. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -95, 34, 153, 256, 337, 390, 409?\n\"Answer: -w**3 + w**2 + 133*w - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r*r*r*r**(-3\/2)*r)\/r)\/r)**(-9)\/(r*r\/(r**(4\/7)*r*r*r)*r*r\/(r*r**3)) assuming r is positive.\nAnswer: r**(-265\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264895 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 7 - 15. Suppose -3*n = -v*r - 3, -4*n = -0*n - r - 4. Is 18 a factor of (n - 1 - 2)\/((-6)\/165)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*a - 26, -5*a - u - 5 = -95. Which is smaller: 13 or a?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*n - 3*v + 10, 3*n = 3*v + 18. Suppose -293 = -n*l + 3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-70.\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 5*z + 6. Let v be q(5). Let r be 1*((-4)\/v + 0). Let f = -4.04 + 0.04. Which is the closest to -1? (a) 2\/13 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*n - 6*n + 2, 9*j + 11*j - 40 = -4*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1549 - 7375. Let n = 10495 - 21062. Let x = o - n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327 - 852 = 187*v - 4006 - 10141 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from {n: 1, e: 4, a: 4, k: 7, b: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -57233*d. Let g(s) = -2303*s**2. What is m(g(r))?\nAnswer: 131807599*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65126*u**3 - 112*u**2 + 2*u + 78 wrt u?\nAnswer: -390756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -17) + (7 - 9). Let n be (-2 - -4 - 0)\/r. Which is the biggest value? (a) 4 (b) n (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 25. Calculate the remainder when 71 is divided by u(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2745 and 127\/25770?\nAnswer: 4715910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 23 + 3. Suppose -5*c + g = 27 - 3, 0 = -g - 1. Let z be -5*(14\/c + 0). Solve z = 2*s + s - 2*t, 3*s - m = t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361113 + -23?\nAnswer: -361136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/2376 and -113\/432.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - 1*sqrt(204)*-2)\/(sqrt(12)*-2*-1) + ((-3 + sqrt(2448))**2 - sqrt(187)\/sqrt(1100)).\nAnswer: -353*sqrt(17)\/5 + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 71*q**2 + 622*q + 98. Calculate i(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/73 or -1?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 38199586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 24. What is the smallest value in -1\/3, -3\/7, 4\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 149128?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3229.\nAnswer: 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqwqwq. What is prob of sequence wqwq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r + 5. Let a = -3 + r. Let t(k) be the second derivative of -5*k**3\/6 - k**2 - 4*k. What is t(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 2*v**2 + 3*v**2)*((3 - 1 + 0)*(21*v + 56 - 56) - 1 + 1 + v) + (-v - 2*v + 4*v)*(-11*v**2 - 27*v**2 + v**2).\nAnswer: 49*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 1, -50, 4, -27, -4\/143, -5?\nAnswer: -4\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/3 (c) -0.4 (d) 0.1 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3139\/9 - 349. Which is the closest to -24? (a) n (b) -1.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 165637, 165643, 165649, 165655, 165661, 165667?\n\"Answer: 6*f + 165631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174\/5 - 37\/2. Let k = m + -884\/55. Find the common denominator of k and -35\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/17578 and 11\/6392.\nAnswer: 70312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2. Let l(r) = -570 + 277*r + 1139 - 570. What is u(l(o))?\nAnswer: 230187*o**2 - 1662*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434629 and 6968?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2058 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*j + 11, -j + 10 = 5*u. Let c = 11 + u. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 + 365. Let a = -171 + m. What is the greatest common factor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g - 20. Let f be y(5). Suppose -5*m + 20 = -2*i, -m + 3*i + 17 = -f*m. Let v(n) = -n**2 + 5*n - 3. Give v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - 0 - (83 - 69).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120369349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-75))\/(4\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m - 2*m + 0*m)*(-m + 4*m + 2*m) - 2 + 2 - 2*m**2.\nAnswer: 53*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -203 + 4?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/29838821 and -87\/122?\nAnswer: 59677642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/387 and 137\/71430.\nAnswer: 9214470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/20 - 11*z**4\/6 - z**3\/3 + 25*z**2\/2 - 13*z. Let p be s(22). Let b = p - -24. Solve b*m - 3 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -80238 and -1.7005.\nAnswer: -80239.7005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) + -1*sqrt(187))*2)\/((sqrt(121) + -2*sqrt(121) - sqrt(121))\/sqrt(11)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7812479509 to four decimal places.\nAnswer: 0.7812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/13 + (-1072)\/(-208). Let m(a) = a**3 - 51*a**2 - 160*a - 95. Let w be m(54). Solve -5*h - 22 = -0*n + n, -4*n = v*h + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 2, g: 3, l: 10}. What is prob of sequence ti?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -12, -0.4, -1\/4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 35618930*o - 63435408717245 = 0.\nAnswer: 3561893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 830*z**2 + 196*z - 81364. Calculate g(415).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 10*h + 21. What is the tens digit of d(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, i: 5}. Give prob of picking 3 z.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/4)\/(-6)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:23 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.658387 millimeters?\nAnswer: 4658387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -1\/2 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*j**2\/7 - 14080*j\/7 + 991232\/7 = 0.\nAnswer: 704\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/(-10)) - (-23 + 3468\/153)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxdp when four letters picked without replacement from {p: 2, d: 3, x: 10}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -754c - 11a?\nAnswer: -7668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3058 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13274, -26734, -40194?\n\"Answer: -13460*m + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 672626000 to the nearest one million.\nAnswer: 673000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104.9 - 109.71. Let l = -0.19 + i. Which is the third biggest value? (a) -2 (b) 5 (c) 1\/3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**4 - 30*h**3 - 45*h**2 + 2*h. Let p(v) = -8*v**4 - 90*v**3 - 135*v**2 + 7*v. Let s(a) = -2*p(a) + 7*r(a). Solve s(g) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23718?\nAnswer: 2, 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a millennium in years?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -53.\nAnswer: 29\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 - 74*f**2 + 6.\nAnswer: -74*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 100 + 41)*(0*h**2 + 0*h**2 + 2*h**4).\nAnswer: 224*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) -5 (b) 0.5 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 2*r**5\/45 - 4*r**4\/9 - 34*r**3\/27 + 68*r**2\/3 - 40*r + 11726. Factor g(u).\nAnswer: 2*(u - 6)**2*(u - 1)*(u + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**3 - 3940. Let j(c) = -4*c + 155. Determine j(n(b)).\nAnswer: -12*b**2 + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/10 and -62\/231.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-39) - 248\/(-3). Let p = 94 - t. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c + 76*c + 5200 = 0. Is -518 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let x(q) = -6*q**2 + 84*q + 5. Let p = -125 - -132. Let u(c) = 8*c**2 - 127*c - 7. Let d(s) = p*x(s) + 5*u(s). What is k(d(i))?\nAnswer: 2*i**2 + 47*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 0.09, -4 in ascending order.\nAnswer: -6, -5, -4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48918383 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2518\/143?\nAnswer: -2518\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4664 + 4777. What is the remainder when k is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/16 and -21\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.751277395 to 4 decimal places.\nAnswer: -0.7513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62196720 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2 = -6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z - 176*z = -1181 - 1630 - 341 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 2. Suppose -4*t - 1 - 16 = 3*y, 0 = -u*y + t + 9. Let s(k) = y + k - 4 + 0 - k**2 + 0*k. Let n(c) = -c**2 + c - 1. What is -2*n(m) + s(m)?\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {q: 4, y: 1, t: 1, l: 1, k: 1, h: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -172104853 or -172104854?\nAnswer: -172104853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/7*(-80990)\/(-356). Solve -38 + x = -23*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 33, 69, 119?\n\"Answer: 7*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26796 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:32 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*c + 217 = -103*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 2272*t**2 - 2272*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 1 - 11 + 3*m - m. Let f(v) = v - 7. Suppose -4*j + 14 = -2*r, -j + 21 = -4*r - 0*r. Determine r*a(o) + 7*f(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 38. Suppose f*d - 2*i = -d - 75999992, -i = -3*d - 56999996. Round d to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116019 is divided by 38177.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - 10\/(-3). Suppose -8 - 7 = -3*c. Suppose c*j + 11 - 41 = 0. Solve -k = -4*k + l*u - j, -3*u = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -101. Let x = l + -51. Let w be 0 - -1 - (-1 - 0). Sort x, w, 0 in increasing order.\nAnswer: x, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 21*a**2 - 10*a + 292. Determine y(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43459965 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 83. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5635 and 490?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 256*k + 259*k + 12, -5*k = 2*x + 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2556144 (base 7) to base 2\nAnswer: 1010001011010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 12*g**2 + 208*g + 1959. Determine u(-9).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 380 = -30*j. Suppose -5*o + 91 = j. Calculate the greatest common divisor of 4 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + -4 + sqrt(20) - sqrt(160)\/(sqrt(8) + (sqrt(648) - sqrt(8))))**2 + 4.\nAnswer: -1424*sqrt(5)\/9 + 160040\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7473 (base 8) to base 6\nAnswer: 30015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Suppose -3*o + m = -m - 190, -j*o = -m - 312. Suppose -5*q = -3*q - o. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 13*i - 262. Let k be f(11). Let j(b) = 5*b**2 - 6*b + 7. Let o be j(2). Put o, -5, 5, k in decreasing order.\nAnswer: o, 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-590)\/(-2891))\/((-30)\/(-42))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 37\/3964?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/807 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(2\/(1 + -3)). What is the units digit of 0 - (-3 + (f - 65 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - 2\/4. Let d(v) be the first derivative of 2*v**5\/5 + v**4\/12 - v**2\/2 + 61*v - 9. Let y(f) be the first derivative of d(f). Determine y(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155615547 to the nearest integer?\nAnswer: 12475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 11. Let v = -2 - b. Solve -5*t + 6 = -2*m - 2*t, -v*m + 2*t + 7 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 + 128 + 13*p - 4*p - 59 - 8*p as s*p + w and give w.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30)\/((-2)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j*j**(-1)*j*j))\/j)**(-15))**(-8) assuming j is positive.\nAnswer: j**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 10*q + 60. What is x(-15)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = -5*g, 4*g - 5 - 3 = 0. Find the first derivative of w + 0*k**2 + 3 + 9*k**2 wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-14))\/i*i*i**(-7))\/(i**(1\/10)\/((i*i*i*i**(-3\/13))\/i*i)) assuming i is positive.\nAnswer: i**(-2123\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 103145*l + 7220155. Calculate x(-70).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1394 = -7*b + 419. Suppose 3*x - b = 4*h + 880, 3*h + 15 = 0. Let u = x + -120. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-45)*(-6)\/4. Which is bigger: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**3 - j**2 + 6 - 8*j**3 - 7 - j**4 + 3*j**3 to f*j + o*j**4 + p + r*j**2 + v*j**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 5. Let h(r) = -7*r**2 - 10*r - 57. Let t(f) = 18*b(f) + 2*h(f). Factor t(w).\nAnswer: 4*(w - 6)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 - -77. Let v(t) = -28*t + 27. What is the tens digit of v(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - -12. Let f = 63 - p. Suppose f*r - 2*k - 82 = 0, 2*r - 6*r - 4*k = -76. Calculate the smallest common multiple of r and 264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-4) + (-1 - -48). Let t(g) = -g**3 - 18*g**2 - 61*g + 7. Let x be t(-13). Let q = i + x. What is the greatest common divisor of q and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -v - 2, 2*q = -4*v - 0*q - 18. Let n be 48612\/(-2) + (-12)\/v. Is n\/(-5) + (-4)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/14*((-2)\/(-2) - 1). Let h(v) be the first derivative of -3 + 1\/4*v**4 + 0*v - v**3 + l*v**2. Calculate h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/106590 and 59\/878845.\nAnswer: 89642190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (4 + 0 + -4). Solve 8*n = 3*n + 2*h - 25, 4*n + w*h - 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.563851nm in millimeters?\nAnswer: 0.000001563851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -1\/61, 2\/355, 0.2, 303?\nAnswer: 2\/355","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.72, -1.57, -3, -0.1.\nAnswer: -5, -3, -1.72, -1.57, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**4\/24 + 5*a**3\/6 - 3*a**2. Let s be -1 - (8 - (1 + -1)). Let w be j(s). Sort -5, 1, w in increasing order.\nAnswer: -5, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4609644, -4609633, -4609622, -4609611, -4609600?\nAnswer: -4609589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 + 37*j - 68. Determine r(17).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010554 rounded to 5 dps?\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13882517639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7065.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 46 = -66 - 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19672 divided by -4.\nAnswer: 4918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408929745 and 3087?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (4279\/(-44))\/(2\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1\/8, 21, -81, -0.4, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 1. Let a(d) = 12*d - 9. Let p(g) = -4*g - 38. Let o be p(-5). What is o*k(l) - 2*a(l)?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 420?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31863194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/42)\/(8\/18)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*-5*(5 + (4*-2*sqrt(405))**2) + -5)*5.\nAnswer: -3240646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144585 = 8*a + 43*a. List the prime factors of a.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330790, 642075, 953362, 1264651, 1575942, 1887235?\nAnswer: 2198530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20998118?\nAnswer: 2, 1217, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x - 5752*x**2 + 37*x - 17*x - 4060*x**2 + 3202*x**2)*(4*x**2 - x**2 - 2*x**2).\nAnswer: -6610*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 55. Let z be 3\/((-9)\/l) + 5. Solve 5*b = -2*r - z - 3, -5*r + 17 = b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*b - 5*b - q, 2*b + q - 2 = 0. Let y(d) = -14*d + 1. Give y(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -29*b + 24*b - p, 8 = 4*p. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b + 87*b - 24599 = 0. Does 31 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:38 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (26 - 24 - (1 + 3 - (3 + 2)))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 59875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3 = 2*p - 3*q, 2*q = -2*p + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/7))**2\/(h*((h**(-1\/4)*h)\/h)\/h)**(2\/91)*h**(-3)\/h**5*(h**(2\/15)*h)\/(h\/(h**(3\/2)*h*h)) assuming h is positive.\nAnswer: h**(-4003\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.4. Let k = -1.9 + 0.3. Let s = k - y. What is s rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3266 - -3265.2. What is the biggest value in -5, k, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20)\/(13\/195) - (3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-1925)*-11)\/(((-80)\/728)\/10).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122980 by -260.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 4*r + 15 + 20 - 11 - 13.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44848 and 132448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6789, 2, -9, 0.64?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**6\/5 + 5*v**2\/2 - 6*v. Differentiate r(x) wrt x.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-32)\/(-240)*1310\/(-8) and (-21)\/(-14) + (-62)\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -392 - -216. What is the hundreds digit of (-9900)\/f*-2*16\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.756 * 49.\nAnswer: 135.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17043 + 17047. Solve r = 3*f, 7*f - 9*f = j*r - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26169.7 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - -1 - (-14 - -2)*9?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2010136, -2010103, -2010070?\nAnswer: -2010037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)*-6*10\/20. Suppose 2*a = j*a - 2*h - 8, -3*a + 24 = -3*h. Solve a = q + 4*k - 3, -3*q + k = 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195\/131 + 3\/262. Which is the fourth smallest value? (a) 1\/3 (b) -3\/14 (c) s (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13233 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000326833603 rounded to five decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(18)\/sqrt(6)) - sqrt(24)\/(sqrt(8) - sqrt(72)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 202, 2, 490, -72 in ascending order.\nAnswer: -72, -2, 2, 202, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 28 = -5*l. Let w be (l - -6) + -1*1177. Let t = w - -9519\/8. What is the common denominator of 17\/4 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let y(u) = 8*u + 152. Let h(g) = -2*g - 41. Let q(m) = 22*h(m) + 6*y(m). Calculate -q(x) - 2*z(x).\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3966 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208 - -440. Let l = m - 154. Let v = l + -6.8. Round v to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o - 13. Determine b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f. Let n(t) be the second derivative of 37*t**3\/2 - t - 303. Determine q(n(d)).\nAnswer: -2886*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 85013040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 162\/7294123?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1464571641 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2, 546?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77703, -77712, -77731, -77766, -77823?\nAnswer: -77908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*l = -0*l - 2762, -2774 = -2*w - l. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*2 + sqrt(57)\/(sqrt(3)*1))**2.\nAnswer: 6859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -206, -552, -914, -1298, -1710, -2156?\n\"Answer: -b**3 - 2*b**2 - 333*b + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m)\/m*m)**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -33.2. Which is the nearest to -1? (a) z (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*i - 0*i. Let n be (i\/(-4))\/(1\/4). Solve n*c - 4*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 3:43 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.8 - 0.2. Let b(r) = -2*r**3 - 4*r**2 + r - 3. Let z be b(-2). What is the fourth biggest value in 0, g, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 77437.25m?\nAnswer: 77437250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*m - 11*m - m**2 + 5*m + (126 + m - 126)*(3*m + 3*m - 4*m) + 1 - 1 + 3*m**2 to the form z + s*m + b*m**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s*s*s**(-11)*s*(s**5*s)\/s*s*s**(-1)*s**(-2)*s)**(2\/21) assuming s is positive.\nAnswer: s**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 474, 2282, 5274, 9444, 14786, 21294?\n\"Answer: -z**3 + 598*z**2 + 21*z - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (903392\/(-10) - 3\/(-15))*325\/(-75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -592992208 <= -592992209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 29300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -444793.719 to the nearest one hundred.\nAnswer: -444800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 3, -4, -1, -12, -13 in decreasing order.\nAnswer: 55, 3, -1, -4, -12, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1360*h + 750*h + 477*h)*(-2 - 3 + 3) as m + b*h and give b.\nAnswer: -5174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/8)\/(18\/48). List the prime factors of 22\/2 - (l - 8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 7*l + 2*l)*(-3*l + 2*l**4 + 3*l + 71*l**4 - 71*l**4 - 48*l**4 + (2*l**2 + 3*l**2 - 7*l**2)*(0*l**2 - 2*l**2 + l**2) - 11*l**4 - 4*l**4 + 3*l**4).\nAnswer: 112*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 166918238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r. Let i(a) = 7951*a**2. What is i(u(x))?\nAnswer: 962071*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 403 + -2014\/5. Which is the second smallest value? (a) -3 (b) p (c) 3\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8 - 4. Let t = -1 - -2. Solve -2*k + t = z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/(-3 - (-804)\/270). Suppose 0*y + u = -6*y. Let r(k) = -17*k + 8. What are the prime factors of r(y)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - 1*(sqrt(128) + -1)) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/140 and -73\/42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*c + 30*c + 113*c + 16 + 259 + 107*c wrt c?\nAnswer: 231","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12 and -53\/72982950.\nAnswer: 145965900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45709, -45718, -45731, -45748, -45769?\n\"Answer: -2*p**2 - 3*p - 45704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(10)\/sqrt(2)*-1 - sqrt(400)\/sqrt(5)).\nAnswer: -5*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1671558 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 2*f + 8 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 651 + 1104. Let x be (1 - b\/(-18)) + 3\/(-2). Factor x + 3\/2*a**2 - 6*a.\nAnswer: 3*(a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 6*y + 5, 0 = v - 4*y + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - d + 5*m + 15 = 0, 0 = 5*d + 5*m + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -788\/93 and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*g + a - 45, -4*g = -3*a - 95. Solve 5*o - g = 0, 14 = -2*j + 3*o - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.70855 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/((-20)\/45) - 0. Suppose -5*h - 2*j = -55, k*h - 14 = -j + 18. What is the remainder when h is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*m = 3, -3*o - 5*m + 3 - 2 = 0. Let q = 24 - 22. Which is the second smallest value? (a) 2\/9 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9\/17 (b) -0.3 (c) -0.46 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/9, -6\/7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 155*b**3*v + 2*b**3 + 412*v wrt b?\nAnswer: 465*b**2*v + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 310\/(-31)*(-1)\/2*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 624316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 5. Let x(t) = -3*t**2. What is p(x(u))?\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2567609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*n + 0*n - 467 = 0, 0 = 3*g + 5*n - 1397. Let z = g + -265. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 1 - 8*q - 2 to the form w*q + a and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 z when three letters picked without replacement from dzxxxdxxxxxz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 212268*v - 1910415. Give y(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i. Let b(x) = -2*x - 1. Let q be b(0). Let c = -2 - q. Is h(c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by (5\/20)\/((-6)\/(-1992))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -751 + 747. Let p be (-1)\/(1\/m) - 532\/(-57). What is l in -p*l**5 + 71\/3*l**2 - 19\/3*l - 130\/3*l**3 + 116\/3*l**4 + 2\/3 = 0?\nAnswer: 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 - -1.2. What is the closest to 0 in 2\/5, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (5 + 2))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 5*d + 3. Let l = 8 + -5. Let u be i(l). Which is the nearest to 0? (a) 0.4 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 39*x**4 + 25*x. Let g(s) = 59*s**4 + 38*s. Let u(a) = 5*g(a) - 7*t(a). What is the second derivative of u(n) wrt n?\nAnswer: 264*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 3. Let l(x) = x**3 - 6*x**2 + 5*x + 6. Let c be l(5). Let y(p) = 7*p - 41. Calculate the smallest common multiple of o(4) and y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2692490957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**6\/8 + 19*p**4\/24 + 19*p**2\/2 - 3*p. Let d(y) be the first derivative of w(y). Find the second derivative of d(m) wrt m.\nAnswer: -90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 30.00556. What is k rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.3 + 43. Let i = -26.6 - -96.8. Let a = i + -70. Sort a, -0.7, h, -3 in increasing order.\nAnswer: -3, -0.7, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, -2, 33, -5 in descending order.\nAnswer: 33, 2, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 18*o + 35. What is g(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0044 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*x - 1345 = 1055, 0 = -3*i + 3*x + 1782. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtttttttttttxtxtxtt. Give prob of sequence xtx.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (22\/12)\/(-11) - (-50)\/30\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107896193?\nAnswer: 19, 1601, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -744 + 1080. Let u = l + -351. Put -2, 1, u in descending order.\nAnswer: 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.00458?\nAnswer: -0.00458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -137 (b) -0.2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -32*v + 10. Let q(a) = 11*a - 3. Let k(i) = -17*q(i) - 6*w(i). What is the remainder when 70 is divided by k(9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2944 and 24.\nAnswer: 8832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/17))**30 assuming c is positive.\nAnswer: c**(120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 + 4669788 + 6*p - 6*p - 4669788.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/5 + 1926*q**4\/5 - 39500*q**3 - 144685068*q**2\/5 + 175205862*q + 204102990 = 0.\nAnswer: -213, -1, 7, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 1, a: 1}. Give prob of sequence ai.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (sqrt(1050)*-2 - sqrt(1050)))\/(sqrt(3) + sqrt(192)))\/((1*sqrt(162))\/(sqrt(9) - (sqrt(216)\/sqrt(6) + sqrt(9)))).\nAnswer: -32*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -158. Suppose -d*q = -11*q - 2662. Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 14.6, -0.06, 5, 0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409168579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 328\/(-1)*37\/(-148). Calculate the greatest common divisor of 15826 and n.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 41*q**2 - 4*q - 24. Let x(k) = 36*k**2 - 3*k - 22. What is -3*r(f) + 4*x(f)?\nAnswer: 21*f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 13. Let s(o) = -4002*o + 102. Calculate 8*m(x) + s(x).\nAnswer: -3994*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -2)\/(-5))\/((-1)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -193, -739, -1647, -2917, -4549, -6543?\n\"Answer: -181*k**2 - 3*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 - 2*g**5 - 641*g**4 + 8*g**2 + 1726.\nAnswer: 240*g**3 - 120*g**2 - 15384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0 + 1\/60*n**6 - 5*n**2 + 0*n - 1\/15*n**5 + 1\/12*n**4 + 0*n**3. Suppose k(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/6)\/(18\/(-24)). Suppose 0 = 2*c + 3*q - 7, t*q - 8*q = -2*c + 32. Solve -c = -2*b - b - 2*p, 2*p = 2*b - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4.07. Let t = 0.0699986 + x. Round t to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105216 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-6)*6\/4. Let g be 21\/(-14) - (-18)\/a. Solve -g*c + 3 = 0, 0 = -4*u - 0*c + 3*c - 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 1\/40*k**4 + 0*k**3 - 1\/100*k**5 + 35*k**2 + 0*k + 0. Let s(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 7. Let a(d) = d**2 - 2*d - 10. Let y(g) = g**3 - g**2 + 1. Let c be y(2). Let b be a(c). Determine l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999496101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibw. What is prob of sequence bi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, d: 5}. What is prob of picking 1 d and 3 q?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -75 + 75 - 10*o as t + v*o and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x + 6. Let d be h(-5). Let c(l) = l**2 - 4*l + 5. Let s be c(d). Suppose 5*u - 3*o + s = 52, -5*u = -5*o - 45. Solve u*y = 7 - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 = 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -30881*c**2 + 186*c - 47. Let v(p) = 7720*p**2 - 46*p + 13. Let y(l) = -4*f(l) - 17*v(l). What is the second derivative of y(w) wrt w?\nAnswer: -15432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 663214.2um?\nAnswer: 0.6632142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270 - -150. Which is smaller: -121 or m?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 19. Let p(r) = 2*r**2 + 2*r + 6. What is the remainder when p(4) is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41, -87, -155, -257, -405, -611?\n\"Answer: -2*p**3 + p**2 - 35*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7860 - -78517\/10. Find the common denominator of u and 6*(-8)\/112 - (-212)\/21.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3285, -733, 1819, 4371, 6923, 9475?\n\"Answer: 2552*c - 5837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/8 + 5*s**3\/3 - 11*s**2. Let k be l(-7). Let o(b) = b**3 + 6*b**2 - 2*b - 10. Let a be o(-6). Is k smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 10) in base 6?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9466 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 5 - 4)*(6*k - 3*k - 2*k) - k + 0*k + 0*k)*(6 + 3 - 4) to the form l*k + s and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -7, 53, 137, 245, 377?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:56 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(18) + 1)**2 - ((sqrt(4) - sqrt(40)\/(sqrt(50)\/sqrt(5))) + sqrt(4) + sqrt(4))\/(-3*sqrt(18) - sqrt(2)).\nAnswer: -22 + 61*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.0233, 29.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose -p*f - 20 = -7*f. Suppose 0 = -5*i - b - 3*b + 11, -f*i - 2*b = -10. Is 3 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 1. Let v be i(-5). Let m be (-1)\/4 - 27\/v. Let z = m + 12. Let o(q) = q**3 - 5*q**2 + q - 2. Give o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34555 divided by -186?\nAnswer: -34555\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l = -17*l - 33323 + 34475 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(10 - -13)*19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13*s**2 + s - 1. Suppose -4*b = 5*t - 39 + 6, -2*t - b + 12 = 0. Suppose -6*g + t*x = -3*g - 16, 9 = 2*g - 3*x. Is f(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 46.89. Let v = 119 - 119.89. Let c = v + t. What is the third biggest value in 1\/2, c, -0.01?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60687827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 1114736?\nAnswer: 111473a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -14, -36, -76, -140, -234?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - z + 6. Determine a(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 1, j: 2, h: 1, a: 1, t: 7}. What is prob of sequence hjtt?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057384955 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87\/15658 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 13*p**2 + 14*p + 12. Let q(s) = -s**2 + 11*s + 12. Let o be q(13). What is the tens digit of t(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5697169+16335.3\nAnswer: -5680833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 + c + 2. Let k be (-1 - (-8)\/6)*6. Let a be j(k). Let u(d) = d**2 - 5*d + 4. Let t(o) = o - 1. Let y(w) = 6*t(w) + u(w). Give y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 6. Let b(v) = -v - 2. Let r be b(-1). Let x = -6 - r. List the prime factors of s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.92 - 0.9. Is 0 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (1 + 8)) + 8 + 0 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -837\/13 (b) 3 (c) -0.9 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 1. Let r(a) = 9*a**3 - a. Let z be r(-1). Let g be (z\/(-10))\/((-10)\/(-25)). Determine c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0, -6\/361, 0.1 in increasing order.\nAnswer: -2\/13, -6\/361, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-35)\/(f**(1\/33)\/f) assuming f is positive.\nAnswer: f**(-1123\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.226762127 to 3 decimal places.\nAnswer: -0.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -613571 >= -613571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = 0. Let j be -1 + 2 + (-11)\/7. Let n = j + 6\/35. Are c and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -34. Let j(t) = -9*t - 8*t - 2*t**2 + u*t - 25*t. Let r(c) = -2*c**2. Give r(j(s)).\nAnswer: -8*s**4 - 264*s**3 - 2178*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 350.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56950842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*w**3 - 2)*(-1 - 1 + 0) - 86*w**3 + 21*w**3 - 42*w**3.\nAnswer: -113*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 - 4 - 5*q - 2*q**2 + 2*q**2 + 0*q. Let c(n) = -n**2 + n + 1. Let t = 6 + -1. Suppose 3 + t = -2*a. What is a*c(v) - p(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132 and -67.2.\nAnswer: -8870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5931.90481479 + 10.\nAnswer: 5941.90481479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70843389398777\/3350000686134 - 2\/1546630049. Let f = 7\/361 + u. What is the common denominator of -117\/10 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(3\/6*(-143)\/(-11)))\/((-268)\/(-804)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/117)\/((-320)\/(-768))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18953*l**2 - 19347*l**2 + 11019*l**2.\nAnswer: -27281*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7e (base 15) to base 7\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/2 (c) -5939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from hyyhysyhiwyyi?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -24. Let u = l - 16. Suppose d - 3*d = 5*j - 24, -u*d = -4*j + 10. What is the biggest value in 1, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-45))\/(1438\/10785)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8499.960379+137\nAnswer: -8362.960379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 35*p + 95. What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 8*g + 4*x + 28, x + 3 = 0. Solve 2*q - g = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 36289?\nAnswer: -36286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -51727\nAnswer: 465543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9850.994 millilitres to litres.\nAnswer: 9.850994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.02 - -1.72. Let z = y + 7. Let s = -38.69 + 39.09. Which is the closest to -2\/3? (a) 0.1 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*h - 1. Suppose 0 = -f + h. What is the remainder when 17 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 2*f**3 + 0*f**3)*(70*f**2 + 1846*f - 3687*f + 1849*f).\nAnswer: 140*f**5 + 16*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/176 and -59\/168.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 9 = -199. Factor b*f**2 + 5*f**3 + 10*f**4 + 14*f**4 - 8*f - 15*f**3 - 22*f**4.\nAnswer: 2*f*(f - 2)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 492 + -472 + (-116)\/6. Let q be 20\/(-25)*(1 + 4). Let x = 122\/15 + -25\/3. Which is the biggest value? (a) x (b) q (c) y (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 104*z**2 + 2018*z - 782. Determine d(-78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15610 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*-5*(sqrt(176) - (sqrt(176) - (1 + sqrt(176)))))**2 + 4.\nAnswer: 1800*sqrt(11) + 39829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + -1 + 0 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5293155632.\nAnswer: 2, 17, 29, 671039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.99 + -28.03. Let k = 2\/105 + 43\/105. Let u = 2.2 + -2. Put 1, u, k, q in descending order.\nAnswer: 1, k, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/(-10) - -7 - -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/9 + 940*s**4\/9 - 133124*s**3\/9 + 2539744*s**2\/3 - 17506986*s + 16675092 = 0. What is s?\nAnswer: 1, 63, 69, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1722 is divided by 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/4130412 and 67\/33176.\nAnswer: 8260824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 4:27 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124.1 - -127.1. Let k(w) = -w**3 + 5*w**2 - 4*w + 4. Let j be k(4). Suppose j*x = -0*x. What is the nearest to 0.1 in -2, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (3*sqrt(85)*-2 - sqrt(85)) - (sqrt(85) + (sqrt(85) - (sqrt(85) - (sqrt(85) - (-1*sqrt(85) + sqrt(85) - sqrt(85))*2)))))\/(2*sqrt(405)))**2.\nAnswer: 68\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + (-6 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 + -237. Suppose 73 + 52 = 5*y. Calculate the remainder when h is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 57, -101, 4 in ascending order.\nAnswer: -101, -5, 0, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, 20 in decreasing order.\nAnswer: 20, 6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -591151675 divided by 5?\nAnswer: -118230335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16054794\/49 + (18\/(-21) - -1)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 377 - 160 = 273. Suppose 0 = 3*j + z - 720, -3*j - 226 + 946 = -2*z. Calculate the greatest common divisor of d and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 4 = 0. Let k(n) = 2*n - 5. Let m be k(4). Let f = -4 - -5. Solve -p*z = -m*z - f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93432 + -49803. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159258?\nAnswer: 2, 579629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 1, n: 2, v: 2, m: 1}. What is prob of picking 1 z and 2 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 3*t, 9*t + 18522 = -q + 18068 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (935\/(-22)*1\/(-5))\/(745\/(-5960))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 42 = 84. Let w = 214 - f. Let k = -464738 + 464749. Calculate the greatest common factor of k and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 524758*m**3 - 378489 wrt m.\nAnswer: 1574274*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:29 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - 11\/((-33)\/60). Solve 2*p + 4*m - u = 0, 4*m - 10 = -4*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*z + 628 - 116 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4429318 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 605\/8 - 3689\/40. Let t = -649\/40 - a. What is the nearest to -1\/4 in t, 1\/2, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -336 + 335. Let z = 9 + -12. Let c = 0.3 - -0.7. What is the third smallest value in c, r, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 3*b - 3744*b**2 - 15 + 3736*b**2 to y*b + m + p*b**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2100 - 5871. Let i be 4\/(-18) + g\/9. Suppose 2*c = -3*c - 4*h + 295, -2*h - i = -5*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4300.7 + 4300.6966307. What is g rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137781\/8 + -71573\/4. Let f = s + 672. What is the common denominator of 34\/5 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 854 - 851. Which is the fourth smallest value? (a) -5 (b) n (c) -1\/29 (d) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 14. Suppose 2565 = 38*v - n*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Suppose o*t + 16 = 6. Let w(l) = -l**2 + 6*l + 1. Let a(x) = -2*x**2 + 8*x + 2. Let h(v) = -3*a(v) + 4*w(v). Determine h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273451 is divided by 70.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 13*k - 495 = -0*q - 464, 5*q + 3*k = -31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718038752 to the power of 1\/2, to the nearest integer?\nAnswer: 60976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*(-1)\/4)\/(-22 - (-300)\/24). Which is the closest to 3\/10? (a) 0 (b) 5 (c) q (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.149 and 159?\nAnswer: 162.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 100.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/7245 and 59\/53935?\nAnswer: 485415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 2)*(1 - 2 - 2)*(-4*f**4 + 3*f**4 + 2*f**4) to the form b*f**4 + d*f**3 + v + k*f**2 + z*f and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*k**2 - 14*k**2 + 1 - 1.\nAnswer: 239*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -1\/2329 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -18506\/53425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -100, -114, -124, -124, -108, -70?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29843 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31707280?\nAnswer: 2, 5, 11, 137, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - z + 2*z = 61, -3*p + 3*z = -96. Solve 7*q + p = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t + 10 = 4*b, 3*b + 4*t = -5. Let j be (2*1)\/(-35 + 30). Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104525*-0.5.\nAnswer: -52262.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Does 11 divide (2 - 3) + 68\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*i = 1118*i + 48 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121044 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.595 - -0.195. Let w = 2.939 - -0.061. What is the nearest to 0 in a, -0.5, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6 - 4*x + x + 2*x. Suppose 10*f - 14*f = 32. What is the tens digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -12 + 5)\/((-2)\/(-6)). Solve -a*q - 5*y + 40 = 0, -4*q - 2*y + 8 = -22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 43 + 67. Does 3 divide z\/(-10) - 3\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905066543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 213 = 33 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*d - 49*d - 136*d + 11492604 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v - 13*v + 52*v = -36. Put v, 4, 3, -1, -13 in descending order.\nAnswer: 4, 3, -1, v, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47201296.66 - 0.5\nAnswer: -47201297.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/6 + t**2\/2 + 7*t. What is the units digit of r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283116*0.1.\nAnswer: 28311.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-72)*(6\/(-28))\/((-23)\/276)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 185\nAnswer: 3\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 570 and 1088763?\nAnswer: 206864970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 192 = d. Suppose -10 = -2*h + d. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16\/33 + -542\/165. What is the common denominator of v and 8\/(-6)*-3 - (-790)\/40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkoo when four letters picked without replacement from okokk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 + 183. Let k(v) = -2*v. Determine k(r(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 9. Let r = 421 - 420.6. Sort r, o, -3, -2 in ascending order.\nAnswer: -3, -2, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 666402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 - o - 2. Suppose -5*x + 35 = -2*a, 2*x - 17 = 3*a + 8. Suppose -5*l + 3*d - 2 = -0, -2*l - x = 3*d. Let r be w(l). Solve 12 = r*b + b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4141.9917 nanoseconds in hours?\nAnswer: 0.00000000115055325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4918 and -0.27.\nAnswer: -1327.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 - 2. Let o(g) = -2*g**2 + 6*g + 1. Let i(m) = m**2 - 7*m - 2. Let c(k) = -5*i(k) - 6*o(k). Determine 3*c(p) + 5*r(p).\nAnswer: p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31.552 times 0.0214\nAnswer: 0.6752128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1899105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.806 + -0.85. Let v = w - 0.456. Let t = 278\/5 + -56. What is the fourth smallest value in -2, v, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 7:40 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 13*p**3\/6 + p**2\/2 - 4218*p. Let a(u) = -25*u - 1. Determine -3*a(l) - 5*t(l).\nAnswer: 10*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b*d*g*q**3 + b*d*g + 2*b*d*q - 10*b*q**2 + 140*d*g*q - 1089*g*q**3 wrt q?\nAnswer: -48*b*d*g - 6534*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 342.9462 - -0.0538. Let y = l + -342.5. Which is the nearest to 2\/7? (a) -1 (b) 3 (c) y (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5\/3*q**3 - 6 + 5\/2*q**2 + 1\/4*q**4 + q. Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (630\/(-12))\/(147\/(-42))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/3 + 13*c\/3 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 0.06, 1\/24, -1\/6 in increasing order.\nAnswer: -1\/6, -1\/11, 1\/24, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/215 and 12\/69445?\nAnswer: 69445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5316 is divided by 190?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*d - 5*d, -4*u = 5*d + 195. Is -27 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -2*i**3\/3 - 37*i**2\/2 + i - 906. Determine m(-19).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5\/(c*c*c**(-2\/7)) assuming c is positive.\nAnswer: c**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-294)\/(-8))\/(((-22)\/(-8))\/11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 786 - 1753. Suppose 4*z - s = 3*z - 447, 3*z - 2*s + 1340 = 0. Let r = z - t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from pprppnnrrp?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-36))\/(3\/18). What is the nearest to 2 in 1, -3, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e180 (base 16) to base 5.\nAnswer: 3321403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3502 = -4*j, 2*j - j = -2*m + 883. Suppose 6*y + j = 10215. What is the tens 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 {e: 6, q: 1, w: 10}. What is prob of sequence we?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 3*g**4\/8 - g**3\/6 + 2*g. Determine i, given that o(i) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(8*(-7)\/(-56))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = -x - 13, 6 = -3*h - 4*x. Let w be h + 1*-2 + 3. Suppose 5*d - 13 = -w. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - k**2 + k**2 + k**2. Suppose -t - 2*t = 2*g + 8, -6 = -g + t. Let p(f) = -3*f + g*f**2 + 3*f. Calculate p(u(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 182007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 13*n. Let i(j) be the first derivative of -2*j**2 + 24*j + 12654. Calculate z(i(h)).\nAnswer: -52*h + 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7239257?\nAnswer: 227, 31891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 15, x: 2, d: 3}. Give prob of sequence xqq.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278691659.\nAnswer: 17, 37, 67, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, y: 3}. What is prob of picking 3 m?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) - ((sqrt(80)*-4)**2 + -1) - sqrt(80) - sqrt(80) - ((sqrt(30)\/sqrt(6))**2*-6 + (sqrt(20)\/sqrt(4) + sqrt(5))*1).\nAnswer: -1249 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**6*r - 7969*c**3*r + 2*c**3 + 136265*c**2*r wrt c.\nAnswer: 120*c**3*r - 47814*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*g**3 - 3822*g + 602*g + 6817*g**2 + 360 + 293*g**2.\nAnswer: 5*(g + 18)*(9*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(sqrt(121)*-1 + sqrt(121)))\/sqrt(11) - (-4*sqrt(176) + (sqrt(11) - (sqrt(11) - (sqrt(1584) + -1))))).\nAnswer: -16*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16*2\/4*-2. Calculate the greatest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*f - 22*f - 10. Let a be ((-37)\/(-12) + -3)\/(f\/(-8)). Let s = 178 + -1243\/7. What is the nearest to 0 in 2, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**2. Let n(w) be the second derivative of -3*w**4\/2 - w**2\/2 + 616*w. Calculate h(n(s)).\nAnswer: -3240*s**4 - 360*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 13, z: 3}. What is prob of picking 1 z, 1 r, and 1 t?\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 164. Which is the closest to -0.2? (a) l (b) 1\/17 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + 2*sqrt(640) + sqrt(640) + sqrt(40) + sqrt(40))\/(2*sqrt(648)) + 4*1*sqrt(10)\/sqrt(2)*6)*-1)**2 + -2.\nAnswer: 110933\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d**2 - 678*d - 136. Let g be h(68). Is g equal to -16\/1305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/7 - 24208731*k**2\/7 + 6976920825675*k + 62792567560989.\nAnswer: 3*(k - 4034793)**2*(k + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1895 = 33*d - 36*d + 6928. Is 138 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 595, 1188, 1781, 2374?\n\"Answer: 593*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 19 + u + 8 - 18 - 4*u. Let j(h) = -3*h - 4*h + 1 + 6*h. Let o(v) = -4*j(v) + q(v). Determine o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 360. Let p = -265 - l. What is the lowest common multiple of p and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 323563.5 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 22*v**2 - 430*v - 106. What is d(20)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*w - 44793 + 37638 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 6. Let z(s) = s**2 + 5*s + 2. Let o be z(-5). Suppose -3*r + 11 = o. Sort r, y, 5.\nAnswer: y, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.38 + 1.6. Let y = s - 0.219956. Round y to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 838956 and 8?\nAnswer: 1677912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 2?\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 2. Let h be 0 + (-3)\/(9\/(-6)). Suppose -i + h*i + 1 = x, 4*x = -5*i + 40. Let u(j) = -j + 1. Give i*p(k) + 9*u(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*n**4)*(-1935*n + 157*n - 3025*n) + 0 + 0 - n**5.\nAnswer: 9605*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 2. Let y be r(-2). Suppose 2*u + 2*u - 2*a = 16, -4*a + 4 = 4*u. Solve 0 = -d - u*d - y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -51*d + 38. Let f(k) = 14*k - 10. Let r(p) = 11*f(p) + 3*h(p). Suppose 0 = 2*s - 7*s - 15. Calculate r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let y be (b\/1 - 2)\/3. Let j = 4.87 - -0.13. What is the biggest value in j, y, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6407 is divided by 2705.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3 - 249*k**2 - 228*k + 1476 = 0. Calculate k.\nAnswer: -82, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352039464 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49969 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115456 and 1968.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -112, -184, -262?\n\"Answer: -3*r**2 - 57*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -12873\nAnswer: 1\/4291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 7 - 2\/21*q**3 + 2\/7*q**2 + 0*q. Factor f(i).\nAnswer: -2*i*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 16*x**2 + 30*x - 34. Give q(-18).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -64\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 211557.2l in millilitres?\nAnswer: 211557200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7 * -0.062.\nAnswer: 0.2914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, s: 2, o: 1, k: 1, m: 2, x: 5}. What is prob of sequence kmms?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/15 - 13*p**3\/6 + 32*p**2. Find the first derivative of j(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w + 4*w - 3*w - 5*w - 10*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 81\/(-3)*(0 - -1). Let g = o + 39. What are the prime factors of (-3)\/g*-14*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105.4 - -105. Suppose 25 = 5*l - 5*y, 0 = 4*l + y + 2*y + 1. Let z = 4 - l. Which is the third smallest value? (a) 1 (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111954690 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3400, 14424, 32798, 58522, 91596, 132020?\n\"Answer: 3675*r**2 - r - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178110*h + 178108*h - 1 = -b, 3*b - 2*h - 15 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*g + 20085, 27*g - 80460 = 4*c + 31*g. What is c rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/45 + (-2321059)\/(-285)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/30 - 3\/15 - -2. Suppose -n*d + d + 36 = 0. Suppose -8*y + 30 = -d*y. Sort 4, y, 10 in descending order.\nAnswer: 10, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -418*k*y**2 - 273*y**2 wrt k.\nAnswer: -418*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 24790?\nAnswer: 24790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 1, n: 1, e: 2, h: 2, m: 1}. What is prob of sequence mqnq?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36.663ml?\nAnswer: 0.036663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:28 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5019 + -4945. Let y = -74.9 + -3.1. Let p = w + y. Which is the closest to -1? (a) -5 (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593133880.\nAnswer: 2, 5, 114828347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + 0.16. What is the nearest to -1 in -3, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from spsv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -7*p + 2*p - 40, -11*p + 2*s - 88 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114214652.\nAnswer: 2, 23143, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 - 0) - (-44 + (-33 - -110)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - 0.2. Let t = z - 2.7. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12618077*f*i**2 - 5*i**2 - 394445 wrt f?\nAnswer: 12618077*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u - 2 + 0 + 0. Let d(c) = 5*c + 1. Let x(t) = 4*t + 1. Let g(a) = 3*d(a) - 2*x(a). Give -8*g(l) - 5*r(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - 75. Let f = q + 140. Solve 5*i - 2*h = -25, f*h + 0*h = -4*i + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 10. Let r(p) = -2*p - 20. Let z(y) = -2*r(y) - 5*x(y). Let o(k) = -k**3 + 5*k**2 + 6*k - 5. Suppose -4*l + 2 = -22. Let h be o(l). Give z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149382.182 rounded to the nearest 1000?\nAnswer: 1149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86, -243, -538, -1007, -1686?\n\"Answer: -6*x**3 - 33*x**2 - 16*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2069, 2070, 2071, 2072, 2073, 2074?\nAnswer: 2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9005865 divided by 15?\nAnswer: -600391","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 30*h**2 - h - 15. Let p be k(-15). Which is smaller: p or -2\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 35 = 4*n. Suppose 4*c = n*c. Solve 10 = -c*a - 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6283 - 145?\nAnswer: -6438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10101, -10099, -10097, -10095, -10093, -10091?\n\"Answer: 2*q - 10103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/60*141\/94*3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5\/5 - 795404*o**4 - 9544776*o**3 - 42951384*o**2 - 85902660*o - 322134732\/5.\nAnswer: -4*(o + 3)**4*(o + 994243)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (9\/(-24)*-2)\/((-13)\/(-1456))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1615 - -8072\/5. Put z, -0.4, -135\/8 in descending order.\nAnswer: -0.4, z, -135\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1160607624 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*r**3 + 46*r**2 + 337*r + 7087378?\nAnswer: 9*r**2 + 92*r + 337","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2150175 or 2150177?\nAnswer: 2150177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -3) + -19 + 12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/11, 10, -5453?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 332, -4.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b = 3*j - 69, -9 = -3*b. Suppose 7 = -u + 39. Suppose -d + u = d. What is the lowest common multiple of d and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3851 - -593057\/154. Let c = d + -727\/5698. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - 165\/(-2760). Let x = 10\/23 - o. Is x greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -438673600 to the nearest 100000.\nAnswer: -438700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -9*k - 31 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9138100283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**2*j**2 + 11*c**2*j*q**3 + 4*c*j**2*q**3 + 3*c*j*z + j**2*q**2*z + j**2*q*z + 2*j*z + 5*q**3*z wrt q?\nAnswer: 66*c**2*j + 24*c*j**2 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816 (base 15) in base 7?\nAnswer: 21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 433612071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 5445096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*c + 559*c - 4852 = -229*c + 6236 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 1 - 4)*(4*r**4 - 2*r**4 - 4*r**4) + 3*r**4 - 7*r**4 + 3*r**4 - 28*r**3 - 5*r**4 + 28*r**3 + 35*r**4.\nAnswer: 15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -278151, -13 in descending order.\nAnswer: 2, -13, -278151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 3*l - 4. Suppose w + 40 = 3*w. Suppose k = 0, -d - d + 4 = 5*k. Let r be d\/(-4) + w\/(-8). Determine m(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20232231013 + 22?\nAnswer: -20232230331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/120 + g**4\/24 - g**3\/6 + 2*g**2. Let f(p) be the first derivative of n(p). List the prime factors of f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*d - 0*d + d + 46, 4*d + 2740*i = 2738*i + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (96\/(-20))\/((-2295)\/(-575) - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from neeubgb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 610 (base 10) to base 12\nAnswer: 42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -5 + 3 - -6. Let r(j) = -j + 6. Let h be r(l). Is 8 a factor of ((-1)\/h)\/((-8)\/832)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -21, -3, -25, -8, -2, 5 in ascending order.\nAnswer: -25, -21, -8, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + -0.2. Let h = 233\/5 + -47. Which is the closest to h? (a) -5 (b) g (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 2*n. Let b(r) = -4*r + 112. Let h be b(26). Suppose 157*x = 155*x + h. Determine c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4159, -7653, -11147, -14641, -18135?\n\"Answer: -3494*z - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 47*s**2 + 59*s - 70.\nAnswer: (s + 2)*(47*s - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 144\/14*(-518 - 7). Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(7\/7). Put k, 0, 5 in ascending order.\nAnswer: 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 234 + -238. Let s(k) = k**3 + 8*k**2 - k - 4. Let i be s(-8). Sort g, i, -2.\nAnswer: g, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -55. Suppose -2*w + 80 + g = 0. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19292328 = -928*h + 1192*h. List the prime factors of h.\nAnswer: 3, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**4 - t**3 - 20296*t**2 - 981730*t wrt t.\nAnswer: -36*t**2 - 6*t - 40592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtklkxtxltktkltkt. Give prob of sequence lttk.\nAnswer: 15\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 22*l + 123. Let g be y(9). Suppose 7*d - 455 = -g*d. Which is smaller: 103\/3 or d?\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 8*s**2 - 21*s + 1. What is q(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 200*r + 201.\nAnswer: -(r - 1)*(r + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 31.6. Let l = z - -1.4. Suppose 3*m - 20 = 4*p, -3*m - 2 + 4 = 5*p. Put l, -0.1, p in increasing order.\nAnswer: p, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14357689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4108, -8221, -12320, -16399, -20452?\n\"Answer: z**3 + z**2 - 4123*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-32)\/84*820\/(-410)*14\/(-24)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**8\/6720 - u**7\/3360 - 4*u**3\/3 - 3*u**2. Let j(s) be the first derivative of x(s). Suppose j(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196882103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/13))**22)**15\/(f*f**(4\/15)*f**(2\/13))**(-1\/41) assuming f is positive.\nAnswer: f**(406177\/7995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 13 - 9 - (-14 + 36).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4 - 60*v**3 + 132*v**2 - 68*v = 0. Calculate v.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1042, 2064, 3070, 4048, 4986?\nAnswer: 5872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -907\/45 + 185\/9. What is the closest to -1 in -5, h, 1\/9, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 10*r**2. Let x(y) = -2*y + 2. Let m be x(-4). Let f be b(m). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b. Let j(m) = m**3 - 7*m**2 - 10*m. Let f(k) = i(k) + j(k). Let c be f(9). Solve -3*a + c*a = -5*r - 6, 3*a = 4*r + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 - -148. Let x(w) = w**3 + 4*w**2 + 2*w + 6. Let p be x(m). Which is the nearest to 2? (a) -2 (b) -2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 4\/3 (c) 155634 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6796, 11197, 15592, 19981, 24364, 28741?\nAnswer: 33112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-18) + ((-892658)\/(-111150) - (-8)\/(-1))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u**2 - 9*u + 7. Let j(s) = 11*s**2 - 8*s + 6. Let x(p) = -2*p**2 - 513*p - 1527. Let t be x(-3). Determine t*c(i) + 7*j(i).\nAnswer: 5*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - 1\/(-20). Let t = 12270.2 + -12269.2. What is the closest to t in 2\/5, s, -29, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 1452\/84 - (-4)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*k**5 - 210*k + 32*k - 42*k**5 + 84*k - 244*k wrt k?\nAnswer: -5980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - 2.5. Let q = -2 + j. Let y = -3.667 - -4.067. Sort y, q, 9.\nAnswer: q, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - o - 17 = 0, 548*q = 553*q + 4*o + 50 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j**2 + 5*j + 3. Let c be f(-3). Suppose 4*a + c + 16 = 0. Let b = -17 - a. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -16. Suppose 5*c - 8 = d. Factor 0 + 1\/5*p - 1\/5*p**c.\nAnswer: -p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 172032651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 9*u\/2 - 5.\nAnswer: (u - 10)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*-2)\/(30\/(-1245)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154434 and 6846?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 1, d: 1, h: 1, t: 1}. Give prob of sequence dyh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v**2 + 37*v**2 + 13*v**3 - 17*v**2.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, 7, 10, 64, -1, 2 in decreasing order.\nAnswer: 64, 10, 7, 2, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -3\/8701604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Is 4440\/32 + b\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82983598?\nAnswer: 2, 103, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 5*t - 3, -5*r - 15 = t. Let j be -11 + 11 - (-1 - -12). Let y = j - -14. Put y, -6, t in decreasing order.\nAnswer: y, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4119*k**2 + 4415*k**2 - 2*k - 234*k**2 + 3*k.\nAnswer: 62*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = -10. Let o(g) = g**3 - g - 2. Suppose -6*n - 4*k = -16, 0 = -4*n - 20*k + 17*k + 13. Let q(y) = 2*y**3 - 2*y - 5. What is l*o(s) + n*q(s)?\nAnswer: s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1583*o + 30 + 803*o - 174 + 810*o.\nAnswer: 30*o - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2140 and 32588?\nAnswer: 17434580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183536, 183535, 183534, 183533, 183532, 183531?\nAnswer: 183530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -5 (c) 6\/11 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10*x**2. Let u(c) = 14*c + 115. Let a(t) = -9*t - 76. Let w(q) = -8*a(q) - 5*u(q). What is w(n(z))?\nAnswer: 20*z**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(84)\/(-2*sqrt(6)) + sqrt(14) + 5*sqrt(126))\/(6*sqrt(72)*-4 - sqrt(72)))**2 + 0.\nAnswer: 6727\/90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*s = 173 - 174, 5*h = 6*s + 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-608)\/(-57))*-18?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5\/5 - 72*x**4\/5 - 384*x**3\/5 - 128*x**2 = 0. Calculate x.\nAnswer: -10, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54.838 + 323.848. Round t to 0 decimal places.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 36. Let x be h(15). Suppose -n = n - x. Suppose -9 = -n*l, 13 = -2*b + b + 5*l. Solve 20 = 2*k + 4*o, b*k = -3*o + 2 + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 142ba998 - 1?\nAnswer: 142ba997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g**5 - 104015*g**4 + 3*g**3 - 13*g**2 - 1789*g + 313 wrt g?\nAnswer: -480*g**2 - 2496360*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 2*u + 16*u**2)*(0 + 2*u + 3 - 5).\nAnswer: 32*u**3 - 30*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(5 - 17 - 4)*(2*s + 9*s + 9*s) in the form j*s + v and give j.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121.8 - -133. Round s to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 245. Let u = 54 - g. Solve -u*z - 20 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 32?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 20*m + 12. Let o(w) = 6*w**3 + w**2 + 1. Let r(k) = 5*k**3 + k**2 + 1. Give m*o(t) - 4*r(t).\nAnswer: -2*t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c0 + 1?\nAnswer: -1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38265781254354.0799997 - -38265782955002. Let x = 1700648 - z. Let r = -0.08 + x. What is r rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22105 divided by 6771.\nAnswer: 22105\/6771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -14 - 1) + 26 + -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7*u**2 + 4 - 110*u**2.\nAnswer: -103*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -907*q + 5442. Let k be n(6). Solve 4*i = -2*g + 6, -3*g + 3*i - 33 - 3 = k for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 733, 2563, 4393?\n\"Answer: 1830*w - 1097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -768 (base 12) to base 9\nAnswer: -1438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-30))\/((-8)\/(-12)). Suppose w + 3 + 2 = 0. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 329 - 66. Let l = 144 + -98. Suppose 3*d - 35 = l. What is the remainder when f is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + 7*q**2 - 4*q - 1. Let i be 175\/63 + (-2)\/(-9). Let c be w(i). Is 14 a factor of ((-4)\/3)\/c + 2431\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 9) to base 4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/11 + (-8)\/44. Suppose t = -5*w + 4*f - 3*f + 82, 3*w = 5*f + 36. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 5. Let c be x(3). Suppose -c*m + 7 = -m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67505124?\nAnswer: 2, 3, 5625427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 3*w**5\/20 - w**4\/4 + 4*w - 6. Let r(p) be the third derivative of -p**6\/30 + p**5\/15 + p**2. What is -6*c(q) - 5*r(q)?\nAnswer: 2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from djjjjjd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7574, -7584, -7594?\n\"Answer: -10*m - 7564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -104 + 338*c - 169*c + c**3 - 171*c in the form p*c**3 + b*c**2 + q + w*c and give q.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 2 - sqrt(13)) + 3.\nAnswer: 5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 5:14 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423898 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106953, 106948, 106931, 106896, 106837, 106748, 106623?\nAnswer: 106456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 6837316*k.\nAnswer: -4*k*(k + 1709329)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x)**(3\/5)*x**(-3\/7)*((x\/(x\/x**(-5\/2)*x)*x)\/x*x)\/x assuming x is positive.\nAnswer: x**(-317\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*c - 2*h, 21662*c + 3*h = 21666*c + 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 638505 or 638485?\nAnswer: 638485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 233223127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 7 - 19 + 7*k - k**2 - k**2 - k**2 + k**2 + (0 - 3 + 1)*(4 - 4 - 3*k**2) + k**2 + 3*k - 3*k in the form s*k + m*k**2 + c and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 1, v: 2, n: 2, m: 1, e: 1}. What is prob of picking 1 m and 2 v?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -26*h**5\/5 - 23*h - 13. Differentiate y(u) wrt u.\nAnswer: -104*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s + 1. Let w(y) = -y**3 - 6*y**2 + 57*y + 3. Let v(l) = 3*d(l) - w(l). What is the second derivative of v(i) wrt i?\nAnswer: 6*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 4*z**2 + 5. Suppose 43 + 5 = 4*r. Suppose 0 = -4*l, -22 = 2*g + 3*l - 6. Let d = r + g. Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 384906?\nAnswer: 1924530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(282*c**2 - 282*c**2 + 328*c**5 + (2*c - 2*c + 2*c**3)*(-2*c**2 - c**2 + c**2) - 2*c + 2*c**5 + 2*c).\nAnswer: -652*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/21 + (-994)\/(-1666)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-198)*213\/(-994)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3958166787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 q when three letters picked without replacement from cggsqs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1815*v**5 + 45606*v**4 + 354297*v**3 + 726198*v**2 - 738036*v - 389880 = 0.\nAnswer: -114\/11, -5, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 49 = -97 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:11 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m + 1. Let z(w) = -2*w**3 - 3*w**2 - 5*w. Let j(f) = -3*o(f) + z(f). Is 8 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 274067598 and 2515?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.3. Let r = i + -0.5. Let y = 0.4 + r. What is the nearest to -1\/3 in 2\/15, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.019 and 4.2.\nAnswer: -0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19199 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189374?\nAnswer: 2, 11, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.86582 and 6.4.\nAnswer: 23.26582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + 2 + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Let c(v) be the first derivative of -8*v**3\/3 - 23*v - 423. What is c(f(j))?\nAnswer: -32*j**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(2 - -6 - 6)*-1. Let g(m) = 7*m. Let b(d) = d - 1. Give f*b(i) + g(i).\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -144420 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 227*u**9\/504 + u**5\/12 + u**4\/24 + 70*u**2 - 3*u. What is the third derivative of t(d) wrt d?\nAnswer: 27240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10*g - 225 = 0. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 1, n: 2, m: 4, q: 1}. Give prob of picking 1 d, 1 n, and 1 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -144.7. Let k = -15.3 + v. Which is the closest to -2\/7? (a) k (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -20555?\nAnswer: 2\/4111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 15. Let b be p(0). Let h(v) = -136*v**2 - 4*v + 73*v**2 + 65*v**2 + 3*v + 16. Is h(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/120 and -113\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 19*h**5\/30 - h**4\/24 + h**3\/6 + h**2. Suppose -4*k - 6 = -10. What are the prime factors of c(k)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -1.2. Let f = 0.157 + -0.557. What is the third biggest value in f, 5, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*d + 5844, 4*k - 5830 = -3*d - 0*d. Suppose b + 3*w = 6*b - k, 3*w - 6 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 1) + 158 + -170?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**2 - 6*n**2 + 682 - 47*n**2 - 669.\nAnswer: -86*n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82\/213 + 14797\/4686. What is the common denominator of 97\/16 and q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/12 + 2*v**3 + 19*v**2\/2 - 5051*v. What is l(10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, -0.349, -3, -0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -12 + (1 - 4) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - g**2 + 0*g**2)*(2*g - 3*g - 2*g) + (-10*g**2 - g**2 - g**2)*(-4*g - g + 7*g) - 6*g**3 - g**3 + g**3.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 2 + (2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = -z, -2*q + 0*q + 4*z = 6. Let i = -225 + 1803\/8. Let v(k) = k**2 + 10*k - 4. Let x be v(-10). What is the nearest to q in i, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/115)\/(((-63)\/10)\/3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsm when three letters picked without replacement from mwmmmsewwmemwwmwmvm?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 7*k + 5. Let z be s(-6). Suppose z*y - 13*y + 46 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 845 - 831. Let z(r) = r - 1. Determine z(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15450, 61803, 139058, 247215, 386274, 556235?\n\"Answer: 15451*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14013 + 140017\/10. Let n = 51498341\/10 + -5141860. Let z = -7981 + n. Calculate the common denominator of o and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 144?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Let k = q + 1. Find w such that 0*w**4 + 6*w**k - 2*w**4 - 3*w**4 + 2*w**4 - 3*w**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)**(-2\/79))**(1\/15)*((f**(-5)\/f)\/(f*f*f\/((f\/(f*f\/f**4)*f)\/f)))\/(f**(-1)*f)**(-33) assuming f is positive.\nAnswer: f**(-7106\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 55 = -9*t. Let v = -11 + t. Find the second derivative of v*n - 21*n**5 + 2*n + 16*n**5 wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 63*v + 768 = 0, -5*v = n + 111 - 48 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:53 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -653\/2 + 327. Let t(y) be the first derivative of -3*y + 7 + 1\/4*y**4 - 2*y**3 + o*y**2. Give t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/192 - 3\/(-8). Sort -2, 6, 1, b in increasing order.\nAnswer: -2, b, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**6\/120 - j**5\/30 - j**3\/3 + 4*j**2 + 12*j. Let f(h) be the first derivative of l(h). Let o = -3 + 5. Determine f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 + 10*f**3\/3 - 9*f**2\/2 + 2*f + 2. Let h be w(9). Find the first derivative of h + 4*t - 3*t + 0*t wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41540, 83080, 124620, 166160, 207700?\nAnswer: 249240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8970400.7 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/11*b + 6\/11*b**3 + 10\/11*b**2.\nAnswer: 2*b*(b + 2)*(3*b - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 154 + 122 = 0. Suppose 3*h + 0*h - a = 0. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19192.2 - -19193. Suppose 0 = 4*q - 3*q + 18. What is the biggest value in 4, t, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4206 is divided by 120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*z + p, z - 1 = -3*p - 12. Factor 81*k**2 + 12*k - 20*k**3 - 4 - 8 + 98*k**3 + 21*k**z.\nAnswer: 3*(k + 1)**2*(k + 2)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 + 6*q + 3. Let a be f(6). Let y = 7 + 15. Suppose a = j - y. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 43 - 52 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -12, -5, 0, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 11, d: 2}. What is prob of picking 3 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3303441 millilitres to litres.\nAnswer: 0.0003303441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 25 = 23. Suppose -10*t = -z*t - 252. Is t at most 128\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17996 + -11158. List the prime factors of b.\nAnswer: 2, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 17. What is the highest common factor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - 2*q**2 + 0*q**2 + 2 + 0*q**2 + 4*q**4 - q as w*q**2 + c*q + l*q**4 + f + s*q**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -71, -86, -105, -128, -155?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 365328?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4*28\/35. Suppose -u*o - 5*w - 23270 = -3*o, 93016 = 4*o - 4*w. Let l be ((-5600)\/21)\/(1\/o). What is l rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/72)\/(6\/(-48)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-28 + 12 + 18 + 2 - (0 - 58))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - (1 + 3)) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454 (base 11) to base 6.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -34 + 60 + (1 - 1 - 4)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) + 1*(sqrt(1701) - (sqrt(1701) - (sqrt(1701) + -1*sqrt(1701))) - sqrt(1701)))\/(sqrt(12)\/sqrt(4)*-3 + sqrt(144)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 16*l + 32. Give h(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 11*z - 3. Let m be n(-12). Let p(s) be the first derivative of 15*s**2 - 28*s - 636. What is the hundreds digit of p(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9270778 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 706348 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*y - 61019, -13*f + 8*f + 305159 = 6*y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 1681600 = -1681834 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-804)\/(-7976)*155\/(-15) + 1 and 31\/4.\nAnswer: 3988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53210166 is divided by 12645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/1 + (5 - 5). Solve t = w - 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214857 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 6*c**2 - 49*c + 395. What is q(8)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Evaluate (192\/(-432))\/((-1)\/(-6)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125317663 - -125316987.999254. Let k = u - -675. Round k to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*c**2*o**3*w + 318*c**2*o - 137*c*o**3*w - c*o**2*w - 3*c*o**2 + 22*c*o - 1018*o**3 + o**2 + o*w + w wrt o?\nAnswer: 114*c**2*w - 822*c*w - 6108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = 20*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**3\/3 - 9*f**2\/2 + 6*f - 2. Suppose 0 = 2*y + 26 - 8. What is the units digit of m(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19071717 * -0.5\nAnswer: -9535858.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 4 (c) -2\/39 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91752307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*y - 369*y + 676*y - 2 + 545*y)*(2*y + 2*y - 2*y).\nAnswer: 1824*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*l - 0. Let n = 312 - 310. Find x such that 2*x**3 + 0 + 0*x - 4\/3*x**n - 2\/3*x**l = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 88*l + 530. Let m be x(-6). Solve 2*v + 3*o - 13 = 0, m*v - 2 = 2*o + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3788\/15 - 4234939\/16770. Is 1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -854 (base 11) in base 7?\nAnswer: -2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134199, -268368, -402537, -536706?\nAnswer: -670875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 1, k: 1, t: 2}. What is prob of picking 1 k, 1 a, and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*v + 34*q**2 - 149636*q*v - 201070*v - 2 wrt q.\nAnswer: -2*q*v + 68*q - 149636*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*f**5 + 7924*f**4 - 2003360*f**3 + 20403700*f**2 - 57722000*f + 24010000 = 0. Calculate f.\nAnswer: 1\/2, 5, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7428849 is divided by 234.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 0, 3, 26 in decreasing order.\nAnswer: 26, 8, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:16 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:44 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n*n**(4\/5))\/n)*n**3\/n)\/(n\/n**(1\/4))**(-26))\/(n**(-1\/9)*n*n*n**6)**(5\/4) assuming n is positive.\nAnswer: n**(2311\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 34*i + 56 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12995 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4\/((-120)\/(-27)))\/(165\/(-330)). Which is bigger: s or 1337?\nAnswer: 1337","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 5\/3)\/(52462\/(-1543) + 304\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 11:04 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:16 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (14 - 6) - -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 4*d. Let q be 4*((-18)\/d + 4). Let u(j) = j**3 + 3*j**2 - 2*j - 1. Give u(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12700469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132740?\nAnswer: 2, 5, 106637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 7 + 7*q - 9*q. Suppose 0 = 5*c + 2*f - 26, 34*f - 14 = -4*c + 29*f. Calculate w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4 - 6. Suppose n - 22 = -b*l, 0*n - 2*l - 8 = -2*n. Find the second derivative of -2*f**3 - f + 7 - n wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 7*o**2 + 8*o - 3. Let b be x(-8). Suppose -4 = -3*r + 2. Let s = r - b. Solve 4*k = -s*m + 36, -3*k + 4 = -k - m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - o**2 + 4455*o**4 + 2*o**3 - 4454*o**4 + o + o - 9*o**3 to the form w*o**2 + i*o**4 + t + v*o + r*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z**11)**(9\/5)\/(z*z**3*z*z*z**(5\/6)*z\/z**0*z**(4\/7)\/z) assuming z is positive.\nAnswer: z**(67\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/6 - 3\/18. Let c be 13900586*2 - 1*v. Let n = c - 16601174. Round n to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196542277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1 + sqrt(117))*-4 - sqrt(156)\/(-6*sqrt(192))).\nAnswer: -287*sqrt(13)\/24 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.7 + -7.7. What is the second smallest value in -2\/5, l, 1\/2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - n - 7 = 0, 2*n + 8 = 3*a - 0*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 31 = 4*y, -3*y - z - 1 = -4*y. Suppose y*u - 22 = -2*q + 5*q, 0 = -2*u + 2*q + 12. Calculate the remainder when 38 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -1\/60*o**5 - 2*o**2 - 2*o - 1\/6*o**4 + 0 + o**3. Let b(q) be the first derivative of k(q). Calculate b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*g)*(0 - 4 + 3)*(3*g - 2*g - 3*g)*(4 + 13 + 4) to t*g + a*g**2 + k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/7 + 22954*w**3\/7 + 7648*w**2\/7 - 22954*w\/7 - 1093 = 0. Calculate w.\nAnswer: -7651, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/27 and 1\/45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suusuusuuu. Give prob of sequence su.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2464\/381 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116134.\nAnswer: 2, 558067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + 16. Let u be s(-6). Let z(n) = -109*n + u*n + 64*n. Let j(p) = -2*p**2. Determine z(j(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*q + 12, 18 = -q + 2*q + 3*y. Suppose -6*x + 3*x = -q. What is the greatest common factor of 9 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -164, -489, -1120, -2159, -3708?\nAnswer: -5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 78. Let r be n(17). Calculate the common denominator of -1\/2 and 5274\/1701 + 2\/r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6511860*j**3*p**3 - 14*j**3 - j**2*p + 3*j*p**2 + 2*j*p + 20963*p**2 wrt p.\nAnswer: -39071160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/(4\/(-6)*(-27)\/(-48)). Suppose -16 - p = -10*h. Calculate the least common multiple of 8 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 + -100?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 take away 0.4449662846?\nAnswer: -70.4449662846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 135*g - 16. Let u(b) = -26*b + 14. Let f(d) = 57*d - 33. Let i(k) = 5*f(k) + 12*u(k). What is 11*i(s) + 2*l(s)?\nAnswer: -27*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88405 (base 13) to base 11.\nAnswer: -159424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 14*s + 9*s = 65, 3*s = -2*f - 21. Suppose -1 = 4*j - 21. What is the units digit of f\/(-2)*5\/j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 11*a - 12. Calculate the remainder when (-232)\/(-5) - (-2)\/(-5) is divided by m(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 425, -2\/7, 4, -5\/2, 2.1.\nAnswer: -5\/2, -2\/7, 2.1, 4, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-308)\/12*(-294)\/(-539).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*a)*(14 + 11 - 6 + (-2 + 5 - 4)*(-1 - 2 + 1)).\nAnswer: 63*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 79 = 61. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4897*s - y - 67 = 4894*s, 0 = s - 4*y - 235 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 + 134 + -204 + -179?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40752 is divided by 1537?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2070720\nAnswer: 2070717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 38 = -14. Is 23 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (5 - 9))*(-4 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - l + 0)*(-7031 + 7031 - 471*l**2) + (0*l**2 + l**2 - 2*l**2)*(-2*l - l + 0*l) in the form k*l**3 + d + y*l + r*l**2 and give k.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 15) to base 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q - 6. Let p be s(6). Let v = -2 + 5. Suppose 0 = 2*n + v*n - p. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21887978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(2 - 4 + 1) - 5 + 2 - 4 + 3 + 0 - 1 + (2 + 1 - 1)*(2 - 2 - 2))*(0 + 2 + 0)*(-4*b - 10*b - 2*b).\nAnswer: 224*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*k + 190 - 41, -80 = -k - 5*f. What is the units digit of (18\/k*45 + -4)*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 36 = -x, 5*u = 79*x - 77*x - 50. Calculate the remainder when x is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3367, 4693, 6905, 10003, 13987, 18857?\n\"Answer: 443*q**2 - 3*q + 2927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/45 (b) -1 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/954485 and 19\/50.\nAnswer: 9544850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 12 = -3*m + 6, 4*f = m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 5*v**2 - 4*v + 2. Let x be t(4). Let s(b) = b**2 - 4*b. Let g be s(4). Suppose z - a + 6*a = 35, 10 = 2*z - 2*a. Solve -z = -x*m - g*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*j + 1144 = -483*j - 321*j + 30425 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79715615 times -0.4?\nAnswer: 31886246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250610261 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxxtcxbtjj. What is prob of sequence jbc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 120157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17175275 divided by 559.\nAnswer: -30725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239 + -227. Suppose 12 = 18*y - x*y. Solve 0 = -4*h + y*k - 6, 21 = -4*h - 3*k - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*c**3 - 5*c**3 - 172*c**3.\nAnswer: -246*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + c + 16 + 4 = 0, 4*c - 40 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56 (b) 6 (c) 46 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247561.\nAnswer: 281, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 6, s: 7}. Give prob of picking 2 p and 2 s.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -6. Let a(u) = u**2 + 28*u + 96. Let i be a(-27). Let h = -64 + i. Solve -4*b + p = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 32*g**3 - 5 + 0 - g + 8*g**3 - 41*g**3 to x*g**3 + p*g**2 + u*g + a and give x.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 q when three letters picked without replacement from nnikknnnknkqkknqk?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -9969817 and -261683.\nAnswer: -10231500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.09 + -1.04. Let q = -2.452 + 2.4. Let l = q - f. What is l rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 2*r, 0 = 5*u - 2*r + 7*r + 25. Let v = 768 - 1328. Let a be v\/((-1)\/4*u). Round a to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**32*c)\/(c\/(((c*c*c\/c**(-20))\/c*c)\/c)*c))\/(c**27\/(c*c\/c**(-17)*c)) assuming c is positive.\nAnswer: c**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54, -2\/3, 1\/4, 4, 1\/18, -2\/61, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 1303*d**2 + 2*d**4 + 1299*d**2.\nAnswer: 4*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165201899.3 plus 6089?\nAnswer: 165207988.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739169 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*y - 64 = -4*y, 3*q + 5*y = 48. Suppose 3*m + f = q + 18, -5*m + 2*f + 75 = 0. Does 13 divide m - 2 - (-4)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 9*h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-441)\/91 - -5) + (-300)\/429.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17911, 19, 2 in decreasing order.\nAnswer: 17911, 19, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + 0 + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/5*w - 24\/5 - 2\/5*w**2 = 0. What is w?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 + (9 - (-1 - 4)) - 6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196 + 25*n**3 + 1196.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 - (-67 + 52) - (0 + 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1246159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-156)*(6\/162*72)\/((-1)\/5)\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 19, 44, 69, 88, 95, 84, 49?\n\"Answer: -o**3 + 9*o**2 - o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 441.\nAnswer: 3, 12, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12351 + 13155?\nAnswer: 25550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-3 + 33\/9). Let i(l) = l**3 + 6*l**2 + 3*l - 3. What are the prime factors of i(x)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 + 697*o**2 + 277*o - 137. Let z be y(-139). What is p in 3\/2*p + 3\/8*p**z - 9\/2 = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274757.\nAnswer: 7, 39251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 9\/(36\/(-80)). Suppose l = p - 5. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*x - 50 = 0, 5*a + 5*x + 45 = x. Let n(z) be the third derivative of -7*z**4\/24 - 5*z**3\/6 - 4*z**2. Is 13 a factor of n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 16 = 4*g, p + 4 = 4*g - 3*p. Let q = 0.12264 - -0.07736. Which is the nearest to q? (a) g (b) -0.3 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3444, 7935, 14516, 24231, 38124?\n\"Answer: 174*r**3 + r**2 + 3270*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141232298 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -134 (c) 2\/7 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5763 + 123709 = -i, -4*v - 5*i = -157236. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104858 and 6976?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 626878711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 - (-7)\/((-42)\/(-260)). Suppose 5*v + b - 53 = 0. Find the first derivative of 10*p**2 - 11*p**2 + 14*p**v + 8 wrt p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 61?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (780\/(-286))\/(1896\/7821).\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3429 + 3522. What is the highest common factor of 4 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 7*b + 3. Let c be w(-7). Suppose -3*x + 43 = 4*d, 39 + 9 = 3*d - c*x. Suppose 0 = k + 3 - d. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 8 + 1)*(-b + 3 - 3) + (-2 + 0 + 0)*(27*b - 14*b + 62*b) + 1 - 1 + 3*b.\nAnswer: -153*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.220406 rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 = 2. List the prime factors of (s\/2)\/(3\/102).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - 0. What is the second biggest value in -2, d, 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 0.2, -1, -25, 260, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -658013*r**2 + 770*r + 172 wrt r?\nAnswer: -1316026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/68 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3087 and -73\/240?\nAnswer: 246960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h + 1. Let l(a) = 9*a - 40. Let t be l(4). Let m(d) = -5*d. Determine t*m(x) + 3*u(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.727, 0.9598, 1\/4, 3 in ascending order.\nAnswer: -7.727, 1\/4, 0.9598, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -121280\nAnswer: 121280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -99460506 and 31314.\nAnswer: -99429192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.414, 8\/11, -51.9?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*c + 2. Let d be (39\/15 + c)*5. Solve -4*u - t = 4*t - d, 5*u - 2*t - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1660 = l, r + r + 664 = 2*l. Let q = 335 + r. Solve -2*n = 4*g + 2, q*g + 2*n = -2*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/1*(-2)\/3. Suppose 0 = g*h - 4, -496 = -3*z + z - 5*h. Suppose 0 = -2*y - y + 3*r + z, -255 = -3*y - 3*r. Does 26 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001388688918 to six decimal places.\nAnswer: -0.001389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/2 - 1050*k**2 = 0 for k.\nAnswer: 0, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 375 - 92)*(-3 + 1 + 5)*(z - 4 + 4 + (-3*z + z + 0*z)*(3 + 0 - 4) - 139 - 20*z + 139) + (-2*z + 2 + 2*z - z)*(1 - 4 + 1).\nAnswer: -10402*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2660 + -2652. What is the smallest common multiple of 56 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-12))\/((-19)\/10032). What is the greatest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let w = -8 - -8.1. Which is the closest to w? (a) -2\/11 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 9*v - 11*v + 51 = -3*j, 2*j = 2 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194 and 1.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2835498 divided by 369\nAnswer: 945166\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.5 and -619.2?\nAnswer: 3405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416795 divided by -155?\nAnswer: -2689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 8. Let w(d) = 8*d**2 + d - 17. Calculate the remainder when w(4) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13485 by 3.\nAnswer: -4495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z + 108. Let y be s(-11). Let o be (-7 - -8)\/((-5)\/y). Solve -2\/5*k - 4\/5*k**2 + 4\/5*k**3 + 2\/5*k**4 - o*k**5 + 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 213 = -3*l, 3*l - 3*d - 33 = -231. Let b be 2\/(3 + l\/21). Let t(r) = r**2 + 7*r + 3. What is the units digit of t(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**2*o + 334*h**2 + 11*o with respect to o.\nAnswer: 5*h**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2517 - -2560. Is 46 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z - 10 = 97*z - 2*a, 8*a - 20 = 5*z + 3*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 4*w = -7*k - 32, -2*w + 10 = k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7532 divided by -2.\nAnswer: 3766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r**3 - 520*r**2 - 9731*r - 2738 = 0. What is r?\nAnswer: -37, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 811 - 809. Let u(x) = 2*x + 10. Let r(i) = -i - 11. What is c*u(z) + 3*r(z)?\nAnswer: z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**4\/5 - 3*s**3 + 21*s**2\/5 + 3*s - 18\/5 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/4*(-48)\/(-9). Suppose 3*o + u = 7*o. Find the third derivative of -12*r**2 - 7*r**2 + 31*r**o - 38*r**3 + 7*r**2 wrt r.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.44308 years in months?\nAnswer: 905.31696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16a3 (base 12) to base 9\nAnswer: -3646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/577 in 97, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 88*s**2 + s - 1. Does 29 divide v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -76, -160, -274, -418, -592, -796?\n\"Answer: -15*n**2 - 9*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -688 + 688.01. Put -0.3, -1\/37, g, -2 in decreasing order.\nAnswer: g, -1\/37, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -136*r + 137*r + 251. Is r*(8\/(-72) - 16\/18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799974 to the power of 1\/2, to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -83 - (-10 + -6 + 21 - (0 - 2))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) -1\/24 (c) -178 (d) 2 (e) -2\/7 (f) 4 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 7*k**2 + 3*k + 7. Determine r(-5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 10:03 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 plus -551.237?\nAnswer: -551.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.90142053 + -985?\nAnswer: -977.09857947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -0.5 (c) -3\/5 (d) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110336916 and 4734.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/40*-10*-1 - -397 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -7*q - 88. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537566 is divided by 198?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 - 235. Let w = a - -25. Let g = -28 - w. Calculate the highest common divisor of 38 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - -3*1*sqrt(170)) + sqrt(170) - sqrt(170))*1*-1)\/((sqrt(250) - (sqrt(250) - 2*(sqrt(250) + sqrt(250)*-2)))*6).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/46965648 and -149\/1984464?\nAnswer: 140896944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t - 8. Let y be q(4). Let f(o) = -o**3 - 14*o**2 + o + 11. Let a be f(-14). Put 2, a, 0, y in decreasing order.\nAnswer: y, 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + n + 5*n + (0 + 0 - 2*n)*(1 + 5 - 4))*(43 + 53 - 65)*(-n**2 - n**2 + 0*n**2).\nAnswer: 186*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*12\/16)\/(4\/(-10)*32\/(-64))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -425 + 430. What is the highest common divisor of w and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and ((-3)\/2)\/((-1)\/6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011110110 + 1?\nAnswer: -11000011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58, 121, 170, 199, 202?\n\"Answer: -j**3 - j**2 + 73*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 - 6. Let z be v(0). Let l be (-9)\/z*(-132)\/(-2). Calculate the greatest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.4, -0.2, -10, 0.1.\nAnswer: -10, -0.2, 0.1, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 4*r = 4*r. Let z(g) be the third derivative of 6*g**2 + r*g - 1\/24*g**4 + 0 - 1\/6*g**3. Give z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2358 and 3978994?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 4*o + 3. Let p be f(4). Suppose -i = -7 + p. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 17*a + 10*a - 26 - a**2 + a - 2*a**2. Determine f(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51128 and 581?\nAnswer: 51128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3765, 7531, 11293, 15051, 18805, 22555, 26301?\n\"Answer: -2*p**2 + 3772*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/((sqrt(18) - sqrt(288))\/sqrt(9)) + sqrt(170)\/(sqrt(10) + (sqrt(10) - 1*sqrt(10))*-4 + sqrt(10)) + -4)**2*4.\nAnswer: -16*sqrt(17)\/3 + 593\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 149 = 3*m, 2*j - 6*j + 306 = -2*m. Suppose w = -3*w + j. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-207)\/(-230)*12\/27*5. Solve 2*z = -3*t - 6, -5*t + 10 = h*z - 6*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 78, 124, 174?\n\"Answer: 2*c**2 + 36*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 43242424030?\nAnswer: -43242424031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 324 - 3152. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**1)**(-3\/17))**(-8\/13))**24)**(5\/9) assuming b is positive.\nAnswer: b**(320\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 18*n**2 - 17*n. Let x be r(17). Let h(k) be the first derivative of x*k + 1\/2*k**2 + 2\/3*k**3 + 3. Find the second derivative of h(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -88? (a) 5 (b) 0.5 (c) -833\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - 26\/(-10). Suppose p = 4*p - 6. Suppose 2*y - 2*i = 6*y - 312, -p*i - 227 = -u*y. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwcw when four letters picked without replacement from {w: 7, d: 7, c: 1, o: 1, q: 2}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 - v. Let f be h(-1). Suppose f*a - 55 = -23. Solve 0 = a*q - 5*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13579 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 14*o - 11. Let t be s(10). Suppose t*j - 71976 = 21*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113313 - 60998. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.98 - 61.98. Let i = -14.701 - 46.311. Let r = o - i. Round r to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*i = -20, -7*i = 2*n - 5*i + 10. Suppose -28*r + 5362 + 6482 = n. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15082, -30434, -46054, -61942?\n\"Answer: -134*j**2 - 14950*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/851 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1875\/150 - (-315)\/(-30). Suppose -16 - 52\/3*q**s + 4\/3*q**3 - 100\/3*q + 4\/3*q**4 = 0. What is q?\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474.3926 - -0.1\nAnswer: -474.2926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -660063 divided by 3?\nAnswer: -220021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2047 divided by 2?\nAnswer: -2047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 4:40 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - 2 + 8*d**3 + 2*d - 21*d**3 - d**2 to o*d**2 + y*d**3 + m*d + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/56*(-28070)\/21. Let a = g + -500. Suppose -a*k - 1\/4*k**3 - k**2 - 1\/2 = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:46 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 4, -5, -22554, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*o - 23, 4*o = -3*g + 413765. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:44 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 536, 1064, 1598, 2138, 2684?\n\"Answer: 3*r**2 + 519*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**7\/42 + k**6\/10 + 3*k**5\/20 + k**4\/12 + 3*k + 2. Let l(m) be the first derivative of y(m). Suppose l(g) = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 + -166. Let g = -1281\/10 - -128. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01066136 to 5 dps.\nAnswer: 0.01066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1881 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10909 greater than 9977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.031 or -2254\/2881?\nAnswer: -2254\/2881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 566 = -4*h + 812, 4*g - 2756 = -5*h. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*a - 23 = 0, m + 4*a - 30 + 9 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*(-16)\/(-10). Suppose n - a = 2. Suppose -21*l - 17 = -563. Calculate the remainder when l is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1546, 3044, 4456, 5746, 6878, 7816?\n\"Answer: -6*t**3 - 7*t**2 + 1561*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -j - 273, -3*b + j - 2*j + 203 = 0. Calculate the highest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - (0 + 4)) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56561, 56559, 56555, 56549, 56541, 56531, 56519?\n\"Answer: -p**2 + p + 56561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8246 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmm when three letters picked without replacement from xmmmmzxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -56, -5, 74, 187, 340?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.075, 571.62, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.837544 micrometers in centimeters?\nAnswer: 0.0000837544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((12\/9)\/4)\/(67\/402). Let l(r) = r**2 + 1. Let f be l(0). Let n(o) = -1 - f - 9*o + k. Let h(t) = 3*t. What is h(n(i))?\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Let p(x) = x - 6. Let y be p(5). Sort -4, a, y in decreasing order.\nAnswer: a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + j = -0*c - 5, 0 = -3*c + 2*j + 4. Suppose c*h + 1 = 7. Solve 0 = h*l + w - 2, -2 = -l + 2*w - 3*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhhlhhhhhh. Give prob of picking 2 h and 1 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*p - 16*p + 222 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-6)\/(-4))\/(-3). List the prime factors of 20 + 1\/l + -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*i - 4, -4*o = -5*i + o + 10. Suppose 3*t + t - 180 = i. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -312 and -5.\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/4))\/m)**45\/((m\/(m\/(m\/(m*m**2*m))))\/(m*m**(-6)*m)))**(16\/7) assuming m is positive.\nAnswer: m**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 755 = 11*f - 2589. Let y = 1549447\/11 - 141163. Let g = f + y. What is the nearest to 3 in -0.5, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.056 times 7.8\nAnswer: 0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/11 and -69\/4919354.\nAnswer: 4919354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/(54\/72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 4 - 4 + 12*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1984 + 2*r**2 + 1981 + 6*r - 3944 to v*r**2 + n + b*r and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 32190 to the nearest one hundred.\nAnswer: 32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, 1\/137, 1.5, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 9*t + 4. Let g(c) = -c**2 - 5*c + 2. Suppose -3*h = -7*h - 20. Suppose 2*v + 1 = 5*q - 6, -q = -v + 1. What is h*g(y) + q*m(y)?\nAnswer: 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285 by -95.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420342 (base 5) in base 10?\nAnswer: -45097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 402 - 830 - 5*z**3 + 72*z**2 + 422 to the form m*z**3 + k + g*z + c*z**2 and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + 148 + 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391144 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1018*m**2 - 3054*m - 9162. Let o(c) = c + 3. What is 12216*o(s) + 4*x(s)?\nAnswer: 4072*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 142*d**4 + 337*d**4 - 3*d**3 + 162*d - 193*d**4 in the form x*d**4 + y + l*d**3 + u*d + i*d**2 and give u.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 943*z - 37240 = -2*v + 939*z, 2*v + 2*z = 37242. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4112241 (base 7) to base 13\nAnswer: 14240a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 84.1 (b) 0.4 (c) -3\/23 (d) 7 (e) -14\/11 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -3, 0.0599, 21.3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*r - 98 = -93*r. Let y = r + 54. Solve 2*z = -2*z + y*a - 4, 0 = z + 5*a + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/13 - (6 + -19).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 166 = -486. Suppose -o + 185 = -d. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 5*l - 303. Give a(-13).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = 2*o - 6, -4*i + 2*o = 96. Let p = i + 28. Suppose -g + 0*y = y + 3015, p*y = -g - 3020. Round g to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345184.6*-17.3\nAnswer: -5971693.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, -994, -5 in ascending order.\nAnswer: -994, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + 2*d - 5. Let j be k(4). Suppose -26 + 116 = j*p. What is the highest common divisor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 231 - 230 = -5*q - 471, -q - 10 = -3*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10275028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1953 greater than -42429\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 45*i + 15. What are the prime factors of u(18)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -19*u - 17. Calculate the least common multiple of h(-8) and 18.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-33 - -10) + 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*432.52.\nAnswer: 10813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73094*x**3 - 80*x**2 + 384 wrt x?\nAnswer: 438564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 461729243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -4744.\nAnswer: -4744, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1900.72 * 15\nAnswer: 28510.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/364342 and -151\/102.\nAnswer: 18581442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -2 (c) 1 (d) -5 (e) 1046 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 869 and 102?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2400, -4552, -6558, -8412, -10108, -11640?\nAnswer: -13002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -160? (a) -0.858 (b) -38\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088408448 to the power of 1\/5, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/6 + f**3\/2 - f**2\/2 + 8*f. Determine s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 128 = -2*o - p, 0 = -5*o + 4*p - 320. Let w be o\/(-500)*20\/(-8). Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25201 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**4 - 3*v**2 - 4*v + 7*v**3 + v**4 - v**2 = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**8\/42 + 19*c**5\/30 - 10*c**4\/3 - c**3\/6 - 591*c**2. Find the second derivative of p(v) wrt v.\nAnswer: -160*v**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bndppnnpdap. What is prob of picking 1 d, 1 a, 1 b, and 1 p?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014069 rounded to 7 decimal places?\nAnswer: -0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + ((7 - 37) + 14 - -8) + 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**3 + 69*q**2 - 51*q + 200. Determine f(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39534 - -39590. Solve 0 = 27*z + z - f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*y + 12041 - 491. Let k = y + -381. What is the lowest common multiple of 10 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -1.7 (b) 4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -8239.39.\nAnswer: -8234.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-4)*(-196)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 - 73. Let x(i) = 5*i**2 - 2*i + 4. Calculate the least common multiple of x(v) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1355, 5815, 13251, 23663?\nAnswer: 37051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {i: 2, o: 3, g: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 317, 399, 537, 749, 1053, 1467?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 541 from -0.09205.\nAnswer: -541.09205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42897*i*s**2 - i*s + i + 8394*s wrt s?\nAnswer: 85794*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51996256 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*85\/(-8)*(-48)\/(-120).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 54 = -3*n + 2*x, 0 = 5*n + x + 90. Is 12\/54 + (-86)\/n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -1316 (c) -1\/4 (d) 4 (e) -3 (f) 25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -38588 to the nearest 100.\nAnswer: -38600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:11 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*o + 56, -7 = l - o - 2. Let f(k) = 3*k - 4. Let h(x) = 19*x - 32*x + 5 + 5 + 7. What is l*f(b) - 2*h(b)?\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**6\/120 + h**5\/20 + h**4\/16 + 194*h - 3. Let f(j) = 0. Calculate j.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.525 * -3\nAnswer: -1.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddmdddmd. Give prob of sequence ddm.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 9075?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - -3 - 4) + 67 - (1 + 7).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 22*a - 59*a + 29*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 - 2*b**2 + 2*b + 44. Let l be a(-18). What is l rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 70178926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(209)*2 + sqrt(209))\/sqrt(11) - sqrt(304)*4)*-2*-2)**2.\nAnswer: 1284400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**3. Let r(t) = -24*t**3 + 21*t**2 + 63. Let y(o) = -o**3 + o**2 + 3. Let v(z) = -3*r(z) + 63*y(z). Give 9*j(s) + 5*v(s).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124510 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2503 divided by -3601?\nAnswer: 2503\/3601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2))**(-30)\/((n\/(n*(n*n**(2\/3))\/n))\/(n*n\/(n**(1\/3)\/n))) assuming n is positive.\nAnswer: n**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-24 - 0 - (-54 + (63 - 6))) - -45?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + 2 + 0)*(32*y**4 - 2*y**4 + 49*y**4) + (y - 2*y**4 - y)*(-2*y + 5*y + 0*y).\nAnswer: 73*y**5 + 158*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8264*5054.1.\nAnswer: -41767082.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 + 0)\/(27\/144) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - -2422504173538.\nAnswer: 2422504173555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a7 (base 11) in base 12?\nAnswer: -199a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.7648 + -30.7. Round i to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/387 and -59\/430?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*c - 2*c. Let i = -5 - c. Suppose -42 = -6*d + i*d. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5937 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b. Let q(u) = -48576*u - 6. Determine q(n(z)).\nAnswer: -388608*z - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/97*(-4)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 22*s**2 - 7*s**2 - 18*s**2 + 9. Let v = 385 - 391. Let t(h) = 4*h**2 - 10. Give v*u(l) - 5*t(l).\nAnswer: -2*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1638\nAnswer: 491.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o + 3. Determine n(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide (-1 - 67990\/14)\/(8*(-96)\/3584)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922 is divided by 637?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-63)\/(-15) + (-6)\/30. Differentiate -13*i**s - 11*i + 11*i**4 + 12 + 24 - 7*i wrt i.\nAnswer: -8*i**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 1. Let r be w(9). What is r rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 + 4*k**2 - 22*k + 3. List the prime factors of v(-6).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 64 = -4*o + 3*g, -25 = -3*o - 5*g. Let a be (o + -5)*(1 - 0). Let s be 4*(a\/8 - 1). Put s, -1, 10 in decreasing order.\nAnswer: 10, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 = -a, -5*t + a + 16 = -17. Solve -t*v + 10*v + 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*v - 84. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -1800, -4050, -7190, -11214, -16116, -21890?\nAnswer: -28530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -537 - -556. Solve 4*p - 3 = -4*h - 7, 5*h - 2*p + t = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.04171 (c) 839\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {c: 5, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 6 = -h + 5*g, 3*h - 3*g + 6 = 0. Which is the smallest value? (a) 1 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 1:41 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 267818 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-7) + (-980)\/(-686) + (-8)\/(-30)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**4\/24 - 5*s**3\/6 + s**2. Suppose -2*m = 3*m + 67*m + 504. What is v(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5473, 5470, 5467, 5464, 5461?\nAnswer: 5458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/9 (b) 534 (c) 1\/12 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*z + 16 = -0*t, 4*z - 24 = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/7*t**5 - 244\/7*t**3 + 0 - 400\/7*t - 72\/7*t**4 + 720\/7*t**2 = 0 for t.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 998*o - 73*o + 33300 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-25)\/(-3))\/(2\/6). Which is smaller: l or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 540\/(-66) - -3*(-2)\/(-33). Let i be 9\/(-15) + (f\/(-5) - 0). Let l = -1 + 2. Is i greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, -52, 2 in ascending order.\nAnswer: -52, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 316390.\nAnswer: 4113070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millennium in decades?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 133.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/26 + (-3499)\/(-13). Suppose 3*a + 0*a = 4*m + f, 4*a + m - 346 = 0. Let n = 182 - a. List the prime factors of n.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 3*m - 61 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217\/2, -55\/2, 0.4, 0.18 in ascending order.\nAnswer: -217\/2, -55\/2, 0.18, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from ewewewxmhwhmhwhhhhwe.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 8. Let b(v) = -v**3 - 11*v**2 + 142*v + 1346. Let o be b(-8). Let f(z) = -3 - 4 + 6. Determine o*f(c) - 2*j(c).\nAnswer: -8*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3532 - 14217\/4. Suppose f = -0 - 8. Calculate the common denominator of q and (594\/48)\/((-42)\/f).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 28*f**2 - 10*f - 13. What are the prime factors of i(7)?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*s - n + 34, 2*n = -2*s - 28. Let p = 4 + s. Let v = -4 - p. Solve -5 = v*x - 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34.20238 + 0.18838. Let x = i + 0.014. Which is the smallest value? (a) -0.3 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**18\/d)\/d*d\/d**(-19))\/(d**(10\/11))**21)**(5\/7) assuming d is positive.\nAnswer: d**(985\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -3202?\nAnswer: -3184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006156271 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 13. Let f(b) = -4*b + 12. Let a(t) = t**2 - 7*t - 21. Let j be a(9). Let w(v) = j*y(v) + 4*f(v). Differentiate w(z) with respect to z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 1 = -9. Put -2, w, -3, 3 in ascending order.\nAnswer: -3, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 11, 24, 31, 26?\n\"Answer: -a**3 + 6*a**2 + 2*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 48*i**3 + 7772808*i**2 + 3886395*i + 485799 = 0.\nAnswer: -161933, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -518*f + 946. What is the hundreds digit of r(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 98?\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 19816*i**3 - 24522288*i**2 + 49123872*i.\nAnswer: -4*i*(i - 2)*(i + 2478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.07 (c) -4 (d) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhd when three letters picked without replacement from {d: 1, h: 3, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n - 3. Calculate the remainder when 9 is divided by l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -321137?\nAnswer: -321130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 + -66. Let f(c) = -c**3 - 4*c**2 - c. Let n(x) = -3*x**3 - 9*x**2 - 2*x - 1. Let u(j) = 5*f(j) - 2*n(j). What is u(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j - 11*j**2 + 8*j**2 + 7*j**2 + 2. Does 24 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -5, 0.1, 3\/5, 3 in ascending order.\nAnswer: -5, -4, 0.1, 3\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 888377367 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 154709922 and 154709922 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -19.05159.\nAnswer: 0.7620636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 80 = 5*g. What are the prime factors of 5*g\/(-25) + 271?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -349376500 to the nearest 1000000.\nAnswer: -349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 2 - (57 - 43)) + -17\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, 839, 3649, 9315, 18785, 33007?\nAnswer: 52929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from rvzzzezezorzozvvv?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 2*q - 15. Let g be a(-7). Let p = -155 - -16. Let n = p + g. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = 64 + 140. Which is greater: l or -56?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2 + 169584*c + 3902019 = 0. Calculate c.\nAnswer: -23, 56551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41296 = 5*c - 83799. Suppose 69*p - 103321 = c. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975709421 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)*y*y)\/((y*y**(-3)*y*y)\/y))\/(y*(y*y*y*y**0)\/y)**(-29) assuming y is positive.\nAnswer: y**(181\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232530 is divided by 4558?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 6*r - 1, -3*h + 4*r + 2 = 0. Let b(n) be the first derivative of 0*n - 1\/2*n**h + 8. Let i(m) = 5*m**2. Give i(b(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 45 - 63 = 0. Let -3\/5*m**3 + 2\/5*m**4 + 0 + 1\/5*m**u + 0*m = 0. Calculate m.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (4*(-4 + sqrt(2448)) + sqrt(2448)))**2 + 1.\nAnswer: -1536*sqrt(17) + 39425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026 (base 9) in base 11?\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 1, 23, 0.11 in ascending order.\nAnswer: 0.11, 0.2, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/4)\/r**(1\/2)*r**3*r**(-4) assuming r is positive.\nAnswer: r**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*v**3 - 13*v**3 + 82*v**3)*(0*v - v + 0*v)*(-1 - 4 + 2).\nAnswer: 453*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Let s = 7 - 18. Let r = 13 + s. Solve 3*a + f*a - r*x = 28, -5*x - 16 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -5*(sqrt(77) + (-1*sqrt(77) + sqrt(77) - sqrt(77))))\/(sqrt(11) + sqrt(33)\/(sqrt(15)\/sqrt(5))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 741111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**2 - 9*v + 5. Let u = -6 - -11. Let b(i) = -5*i**2 - 9*i + 4. Let t(r) = u*b(r) - 4*s(r). Let x be t(-9). Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.04, -5, 3\/59?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64*(810\/40 - (5 - -6)). What is the greatest common divisor of n and 352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*y**4 + 0*y - 4*y + 7*y**3 - 4*y**3 + 13*y**4 = 0. Calculate y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**2 + w - 3*w - 4*w**2 + 2 - 8*w.\nAnswer: -18*w**2 - 10*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 728 and 22906?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 7. Let t(s) = s - 6. Let q(r) = 5*b(r) + 6*t(r). Let j(w) = -68*w**2 + 4*w - 5. Let m(h) = -j(h) + 6*q(h). Is m(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4052468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 + 3*g + 2. Let s be m(-1). Suppose -3 = -s*a, -2*h - 3*a = -177 - 14. What is the remainder when h is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 242 - 2*b**2 + 3*b**2 - 100 - 7*b - 4*b**2 + 2*b**2. Is z(-12) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzrxzrzlkrz. What is prob of sequence krl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -12.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*s - 18, 13 = 3*s - 0*q - q. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1354*f**2 + 4*f - 10. Let d(l) = 677*l**2 + l - 6. Calculate -5*d(r) + 3*g(r).\nAnswer: 677*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 8*g + 5. Let v(o) = 2*o**2 - 22 + 29 - o**2 - 8*o. Let s be v(8). What is x(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.08 - 1179.662?\nAnswer: -872.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 6*r**3 + 4731*r**2 - 26472*r - 214380 = 0.\nAnswer: -794, -9\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -27. Suppose 23 = y*h - 113. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/10)\/(36\/90). Let f(b) = -16*b - 99. Let v be f(a). Let n(z) = -4*z**3 - 4*z + 4*z**3 - z**3 - 5*z**2 - 1. Determine n(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/(-1056) - (-46)\/264. Which is the fourth smallest value? (a) -0.5 (b) -4\/3 (c) n (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w + 1 + w)*(-1 + 1 + 2)*(3 - 2 - 6).\nAnswer: -20*w - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 114\/(-57) + 10 + -2 + -11. Which is smaller: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Suppose -4*m = -5*m + 1. Let r be (-3)\/(-14) - m\/2. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152249 - -0.07.\nAnswer: -152248.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -51*r**6 - 82*r**3\/3 + 227. Find the third derivative of d(z) wrt z.\nAnswer: -18360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 8*p + 3. What is u(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -105. Let j be (-4 + 7)*(-4)\/f. Does j = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 6*k - 4. Let u be z(7). Let l = 20 + -18. Suppose u*w = 3*r + 4*w - l, 4*r + 3*w = -4. Solve -f = r*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3 - 110*c**2*w**2 + 27*c*w**2 - 3*c*w wrt c?\nAnswer: 24*c - 220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (3 + -3 + 38)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4626740 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 2*s = -42*q + 918, 0 = -5*q - s + 914. What is the remainder when q is divided by 177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59020 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*w + 25 = 389*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.005 (b) -15 (c) -4\/7 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*q = 2*z + 244*q - 2130, z + 4*q - 1065 = 0. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -96. Let v = z + -8.9. Which is the closest to -2? (a) -1 (b) v (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -219 + 258 + (0 - 50).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, c: 1, d: 4, z: 2}. Give prob of picking 2 d, 1 b, and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 10*v**3 + 9*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-16) + 33\/44\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from hobfh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 59 and 59 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3166081*c**5 + 3007*c - 1963 wrt c.\nAnswer: -63321620*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69075986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -616517015, -616517017, -616517019, -616517021?\n\"Answer: -2*q - 616517013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 88. Let i = y - 28. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -54.518 (c) -0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 49*r + 145. Let n be f(-3). Suppose 26 = 4*m - 0*m - x, -5*m = 5*x - 20. Is 12 a factor of (m\/12)\/(n\/(-212))*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -10 - 16 - (2 - (1 - 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**3 - 7*n**3 + 3*n**5 + 4*n**5 - 4*n**5 + 2*n**5 + (-3*n**3 - 2*n**3 + 3*n**3)*(1 - 1 - n**2) - 7048*n**2 + 7048*n**2 + 111*n**5.\nAnswer: 118*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 1)*(0*q**2 - 2*q**2 - q**2) - 213 - 105*q**2 + 213)*(4*q**2 - q**2 - q**2 + (3 - 3 + 1)*(-2*q**2 - 1 + 1) + 0*q**2 + 0*q**2 + q**2).\nAnswer: -99*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + -5.2. Sort -2, j, -0.2, 0.1 in descending order.\nAnswer: 0.1, -0.2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Solve 12*j + 3*u - 189 = 0, 21 = 2*j - 558*u + 555*u for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 979 - 977. Suppose -4*y + 15 = r, -3*y + 3*r - 15 + 45 = 0. Calculate the highest common factor of y and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 102?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2 + (-5 + 1 + 3)*(1 + 1 + 1) - 4 + 6 - 4)*(-2*r**3 - 2 + 2).\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2309 * -840.\nAnswer: 1939560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:06 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3571 - -19850. Let g = 10279 - x. What is g rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/(-48) - (-9)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 1:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 71*t**6\/6 - 7*t**3\/6 - 10*t**2 - 114*t. What is the second derivative of p(a) wrt a?\nAnswer: 4260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42652283 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088) - -1*sqrt(1088))*-4 - (-4 + 1 + sqrt(1088) + sqrt(1088)))*-6)**2.\nAnswer: -17280*sqrt(17) + 3917124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 0.129, 4\/5, 2, 0.5, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 46 = -10. What are the prime factors of f\/(-6)*18\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6874 - 6850.895. Let k = -23 + t. Let f = k - 0.1. Round f to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 671443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180.6 - 41.77. Let r = -224 - x. Let c = r - -1.6233. Round c to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -26 - (-308 + 350).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32090141522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1. Let b(w) be the third derivative of -w**4\/8 + 2*w**3\/3 - w**2. Let n(k) = -b(k) - 4*z(k). Let y(x) = 13*x**2. Determine y(n(h)).\nAnswer: 117*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 5)\/(-4) + -5 + 65. Let n be ((-128)\/z - -4) + 20\/(-25). Factor 28\/15*b**2 - 2\/5*b**3 - 8\/3*b + n.\nAnswer: -2*(b - 2)**2*(3*b - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13700268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1103312010 (base 4) to base 16\nAnswer: -53d84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 92\/9 (b) 18 (c) 0.2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 5598?\nAnswer: 5598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -2\/13, 1\/34, -0.3, -2\/3, 104?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12740 by 5.\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114932 and 15584.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d**3 - 3*d**2 + d + 6. Let k be w(-2). Let l = k - -128. Is (22\/4 - l)\/((-2)\/(-1676)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-141553)\/(-8) - 42\/336. Let k = z - 2937569\/166. Find the common denominator of -83\/12 and k.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 11 = 3*t, -4*l + 19 = -0*l + t. Let y(o) = o**2 - 7*o + 10. Let c be y(l). Let q(f) = f**2 + f. Is q(c) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4065 - 4?\nAnswer: 4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010222011 - -210210?\nAnswer: -1010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5039 is divided by 129.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 223087 = -32024. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46\/3, 0.33, -20\/41, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2774340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:38 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 2. Is 9 a factor of a(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -662.91 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 5*d, 17 = 2*h + 2*h - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, i: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - 3081. Is 55 a factor of ((-132)\/(-10))\/((-36)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-392)\/5390)\/(2\/(-5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Suppose 26 = c + b*s, 0 = -3*c - s - 4*s + 74. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1556*f**2*r**2 - 185*f**2*v - r**2*v wrt v.\nAnswer: -185*f**2 - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + 2*h**2)*(-5*h**2 + 3*h**2 + 4*h**2) + 26*h - 42*h + 19*h**4 + 19*h - 1.\nAnswer: 23*h**4 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)\/(g*g*g\/g**(3\/8)*g*g)*((g**8*g*g)\/g)\/(g**(-2\/5)\/g) assuming g is positive.\nAnswer: g**(-129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*q = 32617 + 43465, -76096 = -g - 5*q. List the prime factors of g.\nAnswer: 2, 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b + 150. Let f be x(0). Let n be 1*f + 0\/(-4 + 1). Is -3*n\/9*(-2 + 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 - 1.1. Let y = 9 - k. Suppose -p + 3 = 2*w - 4, 2*p = w + 4. Which is the third smallest value? (a) p (b) y (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let y(o) = -2*o + 3. Let r = -18 - -17. Let s(f) = r*y(f) + 3*x(f). Let j(t) = -2*t**2. What is s(j(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 247, 438, 599?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/828451 and -64\/3.\nAnswer: 2485353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - d = -5 - 13, 5*z + 39 - 3 = 18*d - 11*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -237084 divided by -2?\nAnswer: 118542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 7806?\nAnswer: 281016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435.\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/15)\/(18\/(-5)). Let c be 6\/(-20)*(7 + 37\/(-6)). What is the nearest to 0.1 in c, o, 31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -32 + (-9)\/(162\/(-696))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 2\/11, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94 + (-143650)\/(-1547))*2\/(-6)?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 4.3 (c) -4 (d) -6 (e) -0.4 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((6\/(-243))\/((-284)\/(-213))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 75*y**3 - 807220*y**2 - 1668565*y - 107650 = 0.\nAnswer: -2, -1\/15, 10765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 11278665.\nAnswer: 22557330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 305924 + -0.44\nAnswer: 305923.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118248\/5 + 23564. Let u = p + 86. Suppose 0 = -0*n + 2*n - 5*j + 9, -2*n - 10 = -4*j. Which is the nearest to 2\/9? (a) 4 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2100, 3, 1, -19904, -5.\nAnswer: -19904, -5, 1, 3, 2100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 36*j + 3. Let c be a(4). Let l = 24183 + -24038. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 29. Sort -5, k, -4 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**0*m*m)\/m*m)\/m)**41\/(m**(-1\/7)*m\/m**7*m))**(3\/28))**(-1\/17) assuming m is positive.\nAnswer: m**(-57\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 656 - 617. Solve 0 = 13*z - 13 - m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 - 55?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6774849 - 6774785.999465. Let p = -63 + k. What is p rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554592296.\nAnswer: 2, 1193, 58109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(-5 + -1 + sqrt(19) + -1))**2 - -3*(-1 + ((1 + sqrt(931))*6 - sqrt(931))).\nAnswer: -143*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - o + 15. Does 21 divide p(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9)\/(w\/(w\/w**(2\/15))))\/(w\/(w*w*w\/w**(-1))*w\/(w\/((w\/(w**(-5)\/w))\/w))))**(-30) assuming w is positive.\nAnswer: w**(302\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2156 and 7?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 240605616 divided by -1399\nAnswer: -171984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 271161 (c) 0.5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, -3, -23, -45?\n\"Answer: -y**2 - 15*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7448085*l**3 - 5337*l**2 - 55729 wrt l.\nAnswer: 44688510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (sqrt(110) - (sqrt(110) + (sqrt(110) - 3*sqrt(110)))*4))\/(sqrt(10) - (sqrt(120)*-3)\/sqrt(12))*3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 39. Suppose 0 = -16*j - 22 + 22. Let f(p) = 8*p - 6*p + j*p. Give f(s(z)).\nAnswer: -2*z**2 + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1081180 divided by -5.\nAnswer: -216236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 - 2415859419*i + 6*i**3 + 9*i**3 + 2415859421*i.\nAnswer: 5*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.03. Let r = -37.17 - -37. Let i = r - z. Which is the third smallest value? (a) 0.07 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 211*q + 7. Let f(p) = p**2 - 3*p + 6. Suppose 0 = -s + 3, -4*s + 6*s = -4*o + 14. Let b be f(o). Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18517, -18536, -18581, -18664, -18797, -18992, -19261?\n\"Answer: -2*q**3 - q**2 - 2*q - 18512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 57, 110, 181, 276, 401?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 2, h: 1, i: 4}. What is prob of picking 3 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -145*z - 135. Let x(a) = -59*a - 42*a + 88*a - 12. Let v(w) = -4*u(w) + 45*x(w). Let t(f) = -14*f. Calculate t(v(n)).\nAnswer: 70*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 0*s)*(0 - 2 + 3) + (3 + 6 - 5)*(5*s + s - 5*s) + 7*s - 3*s + 5*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = 0, u + g = 6*u - 372. Let l = 121 - u. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, 21, 25, 29, 33?\n\"Answer: 4*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1954 and 1647409584.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -40, -77, -116, -157, -200, -245?\n\"Answer: -i**2 - 32*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3891 = -3*v, -4*v + 5*j + 644 + 4533 = 0. List the prime factors of v.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/56*2*-7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + -5*1*(sqrt(75) + sqrt(75) + 2 + 3 - sqrt(75))))**2.\nAnswer: 33750*sqrt(3) + 65100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11024 smaller than -11024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4 + 5*z**3 - 3*z**2 = 0. Calculate z.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018534 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from {v: 2, w: 2, a: 1, d: 3, n: 4}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 6. Let z be f(13). Let n(w) = -w**3 + 7*w**2 + 3*w + 9. Let r be n(z). What is the highest common factor of r and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1717.453 - 1719. Let m = k + -0.453. What is the fourth biggest value in -1\/22, -1\/4, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 4557?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3 + (sqrt(1539)*2 + sqrt(1539) - sqrt(1539)) - sqrt(1539)*-1*-3 - 2*1*sqrt(1539)*1) + -4)**2.\nAnswer: 378*sqrt(19) + 13905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.10174l in millilitres?\nAnswer: 82101.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569303339.\nAnswer: 11, 47, 761, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkk when three letters picked without replacement from {n: 3, k: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1662, -3704, -6508, -10458, -15938, -23332, -33024?\n\"Answer: -64*q**3 + 3*q**2 - 1603*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2239, 2004, 1623, 1096?\n\"Answer: -73*z**2 - 16*z + 2328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 2 q when four letters picked without replacement from qqqiiqqzqriqqiqqi.\nAnswer: 45\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1605\/52965)\/(2280\/528 + (-10)\/4)\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 9 + 4\/7*f**2 - 8\/7*f - 2\/21*f**3. Factor u(n).\nAnswer: -2*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.24 - 8.29. Which is the second biggest value? (a) -3 (b) y (c) 0 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 49*w**2 - 23*w + 39. Let f be t(24). Solve 39 = -4*h + f for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 + v**3 - 2*v**3)*((-v**2 - 2*v**2 + 2*v**2)*(0 - 2 + 1) - 3*v**2 + 5*v**2 + v**2).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9555 by -39.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 1. Let r(o) = -5*o + 15. What is r(h) - 4*y(h)?\nAnswer: -h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 + 152.00000222. Round n to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - -22?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 7:08 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14021 * -0.0862\nAnswer: -1208.6102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s - 31572049 = 83105951. Round s to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**2\/2 - 59859735*w\/2 = 0. Calculate w.\nAnswer: -11971947, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 + 7555*r + 25. Let o(s) = 2*s**2 - 2517*s - 9. Calculate -4*m(v) - 11*o(v).\nAnswer: 2*v**2 - 2533*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4242142\nAnswer: -3\/4242142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (-270)\/(-14). Let q be y\/(-4)*(1 - -3). Suppose -3 - 3 = 2*g + 3*z, -g + 5*z + 10 = 0. Solve -b + 5*f + q = g, -2*b + b - 4*f - 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, -1\/6, -0.52, -1\/3, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55473 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 137696783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329227 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 2*l**2 + 3*l - 2. Let d be t(4). Let m = -43 - d. Let k = m - -37. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4)*(4 - 3 - 3)*(2 + 6*m**2 + 3*m**2 - 10*m**2).\nAnswer: -2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -12*b. Let g(t) be the third derivative of -t**5\/60 - 19*t**4\/24 - 4*t**2 - 17. Calculate g(k(o)).\nAnswer: -144*o**2 + 228*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + o**2 - 2*o**2 + 0*o**2 - 2*o**2 + 5*o**2 + (0*o + 0*o - o)*(-1 + 2*o + 1))*(17*o + 41*o - 84*o).\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*q - 45*q**2 + 681 + 9*q - 681 as m*q + r*q**2 + y and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/31 + 3039\/310. Let j = -1\/1009 + 91864\/45405. Find the common denominator of j and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7641 (b) -3 (c) -2\/7 (d) -1\/2 (e) 2\/11 (f) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2. Let f(j) = -550*j. Give f(z(d)).\nAnswer: 2200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 7*t = -3*t + 2547523980, 3*y = t + 272948995. What is y rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 634, -6, -4, 5 in decreasing order.\nAnswer: 634, 5, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/60*5*(-53)\/38160*24?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7295670785.\nAnswer: 5, 13, 17, 6602417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26794907322338 less than -0.1?\nAnswer: 26794907322337.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5686 + 8364. Let p = 6471 - v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5617\/1136 or -5?\nAnswer: -5617\/1136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -3125*u**6\/24 + 125*u**5 - 50*u**4 + 32*u**3\/3 + 266*u**2. Find k such that n(k) = 0.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 88*o**3 - 90*o**3 - 1.\nAnswer: -2*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 11:40 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 + 58*o - 250. Determine r(6).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*u - 532 = 615*u - 5404 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 26*f**2. Let j(i) be the first derivative of -47*i**3\/3 + 1121. Give o(j(p)).\nAnswer: 57434*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (60\/(-45))\/((-1)\/(-6)). Let f be (g\/(-6))\/((-12)\/(-18)). Let c(o) = o - 159 + o**3 - o + 2*o**f + 162. Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 289, 286, 283, 280, 277, 274?\n\"Answer: -3*w + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7027284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 794723.6m in millimeters?\nAnswer: 794723600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 13*v**2 - 16*v + 7. Let i(c) = -2*c**3 - 26*c**2 + 31*c - 15. Let x(j) = 3*i(j) + 5*m(j). Let w be x(-14). Is 1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 787 - 787.409. Let a = -0.509 - o. Is -28\/13 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 5 = 3*q. Let i(v) be the third derivative of -11*v**4\/24 - 4*v**3\/3 - v**2. What is the remainder when i(q) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-1)\/8 - 9\/(-36))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1267*h + 4*h**2 + 3*h**2 - 2744*h + 1477*h - 6*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 12:26 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000407876588 rounded to seven decimal places?\nAnswer: 0.0000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452754?\nAnswer: 2, 3, 25153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-260))\/(488\/305)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 60 (b) 8 (c) 155\/3 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10203 is divided by 5090?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 8, 2\/3, -5, -0.07, 1\/377 in ascending order.\nAnswer: -5, -0.07, 1\/377, 0.04, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**5\/270 + h**4\/108 + 2*h**2 - 3. Let z(w) be the second derivative of a(w). Factor z(r).\nAnswer: -2*r*(r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.4? (a) -169\/5 (b) -7\/4 (c) -5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 20*c - 86. Does 58 divide f(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12265 greater than 12125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 4. Let n be c(-4). Let p be 27 - -2*4\/(-8). Let i = n + p. Calculate the least common multiple of 14 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62959?\nAnswer: 13, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42678872296\/46375515 + 25\/1030567. Let u = o - -4642\/5. Calculate the common denominator of (-650)\/322 + 2\/(-7) and u.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5*u**(-3))\/(u**(-6)\/u**(2\/9)) assuming u is positive.\nAnswer: u**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128655.5 + -0.2.\nAnswer: -128655.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33*((-8)\/(-30))\/((-13)\/130). Let m be (-2)\/(-10) - 908\/(-10). Let o = m + w. Solve o*a = -5*c + 20, -3*a + 0*a + 4*c + 11 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-429)\/(-18)) + 42827\/1243.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1073828.08 - -21.868.\nAnswer: -1073806.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**2*i)\/(i*i\/(i**(2\/11)*i)*i*i**(1\/13)\/i*i) assuming i is positive.\nAnswer: i**(587\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1141 + 1154. What is the greatest common divisor of 1469 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l - 27 = 0. Suppose 5*i = 2*i - 5*u + 19, -7 = -5*i + 4*u. Let b = l - i. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -428\/195?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 8. Suppose 0 = -4*j + b. Solve j*z - 8 = -3*t, z + z + 4*t - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -144, 2\/7 in decreasing order.\nAnswer: 2\/7, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/429 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (186\/(-18))\/((-1)\/3). Suppose 5*i = -4*k + 114, 3*k = -k + 4*i + 132. What is the greatest common divisor of k and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48071 and 11.68?\nAnswer: -561469.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 2ab6?\nAnswer: 2ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/3 - (-3)\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 262.\nAnswer: 262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8 = -28. Suppose 2*w + 0*w - 20 = 3*x, -4*w + 5*x + 36 = 0. Solve -b*s + 2*s**w - 4 + 4*s**3 + 2*s**2 + 5*s**3 + 2*s**3 - 5*s**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9122 divided by -39.\nAnswer: -9122\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238 + -90 + 56 + -152.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(91)*2 + sqrt(91)))\/(sqrt(252) + sqrt(252)*-2) - 3*(-4 + (sqrt(325) - (2 + sqrt(325)))**2).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999*q + 13074 = 48986 + 38014 for q.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(63)\/(sqrt(144)*-5).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 34\/16 - -2 - 4\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170130 divided by 1605?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166\/(-116) - 10\/145.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 6*d**2 + 5*d - 5. Let x be s(-7). Let o be (x - 0) + 3 + -4. Find the third derivative of -4*j**2 + 11*j**5 + 2*j**2 - o*j**5 wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13938793 is divided by 3887.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1033757.9.\nAnswer: 516878.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489640 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 2 - (1 + -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2\/10 + 265312*f + 175976143360 = 0.\nAnswer: -1326560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/882 and 19\/1323?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 40 = -5*r + 3*s, s = -3*r + 24. Suppose -2*v = -4*v + r. Does 3 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -5*a**6\/2 + 12*a**5 + 19*a**4 + 8*a**3 + 61*a + 3. Factor n(s).\nAnswer: -3*s*(s - 4)*(5*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xypfxyuw. Give prob of sequence fwpy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((sqrt(99) - -1*sqrt(99))*6 - sqrt(99)) + sqrt(99) - sqrt(99) - sqrt(99))\/sqrt(9) + sqrt(132)\/(-1*sqrt(972) - sqrt(12))).\nAnswer: 297*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 909 + 1789 - 880. Let x = 2 + -1. Let c(f) = -20*f**2. Let a(p) = p**2. Let u(g) = x*c(g) + 12*a(g). What is u(r(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 0*a + 0*a**2 + 2\/3*a**3 - 2. Let g(z) = 5*z. Determine g(l(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-90))\/((-32)\/304) - (-5)\/(-4).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2, -2, 0.29, 0.\nAnswer: -2, -2\/9, 0, 0.29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -66*t + 89. What is w(3)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11439 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 1\/4, -0.469006?\nAnswer: -0.469006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - n**3 + 2*n**2 + 3 - n + 2*n + 3*n**4 + 3 to v + b*n**2 + j*n**3 + a*n + u*n**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61926142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48252610?\nAnswer: 2, 5, 7, 263, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.57802446 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18)\/sqrt(9) + -2.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8307671, 16615332, 24922993, 33230654, 41538315, 49845976?\n\"Answer: 8307661*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Let s(t) = -333*t**2 + 3. Let d(r) = 327*r**2 - 4. Let y(f) = 3*d(f) + 4*s(f). Give x(y(i)).\nAnswer: -702*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 483*x - 85 - 1892*x + 165 - 81 - 986*x in the form i*x + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:05 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2*c - 6*c**4 + 24 + 6*c**4 - c**4 to q*c**4 + y*c**3 + s*c + r + a*c**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -13 + 5. Let n be (-149)\/(-3) - (-6 - -4). Let x = -757\/15 + n. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 13 = 81. Suppose -4*z = -0*z + d. Suppose 4*j - c + 13 = 3*j, -25 = j + 2*c. Is j at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-1)\/3*(-3754)\/(-2350). Let a = -1\/1175 + b. Calculate the common denominator of a and -3*(-76)\/540*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 - 32\/(16\/(-2)). Suppose 5*r + 4*l = 518 + 1050, 2*l = -x*r + 1252. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-1 + (-1 - -2)). Suppose 0 = x + 3, a = o - 4*o + x + 198. Calculate the remainder when o is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -3) + (8 - -9914) - -6. Round l to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 - 262. Let w be (-1)\/((-35)\/z - (-9)\/(-15)). Solve 0*f - w*f = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = -3*d, -3*d = -3*p + 4 + 2. Solve 12 = 4*k - 4*z, k - 9 = -0*k - d*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 646, 1292, 1938, 2584, 3230, 3876?\n\"Answer: 646*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1574, -3153, -4734, -6317, -7902?\n\"Answer: -c**2 - 1576*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*a - 26 = 0, 0 = -0*l - l - a + 4. Suppose 12 + l = 3*c. Calculate the greatest common divisor of c and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*b - 14*b + 15*b + 4*b - 3*b + b + (3 + 3 - 4)*(2*b - 1 + 1) - 10*b + 8 - 8 - 6*b + 5*b + 5*b.\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j**4\/6 - 469*j**3\/3 + 1845*j**2\/2 - 702*j + 144 = 0. Calculate j.\nAnswer: -24, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21760785 and -9.\nAnswer: -21760794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160469, -641946, -1444407, -2567852, -4012281, -5777694?\nAnswer: -7864091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07938638 - -0.044?\nAnswer: -0.03538638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let l(u) = 30*u**2 - 25*u + 25. Let v(d) = d**2 - d + 1. Let g(w) = l(w) - 25*v(w). Calculate g(y(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388650095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -32 in ascending order.\nAnswer: -32, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {i: 1, h: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y + 2*t + 1, 0 = -3*y + 3*t. Let m be 0*2\/(2 - 0). Let s be (1 + 0)\/(1 + m). Is y at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11200545*z**2 + 8*z + 902043 wrt z?\nAnswer: -22401090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-101*j**4 + 26*j**4 + 34*j**4).\nAnswer: 82*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1246361767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbmeje. Give prob of sequence bh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -174. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3702986 + 352*n + 3702986 as c*n + i and give c.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*k - 253*k + 751*k - 247*k + 4*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 5*p**4\/24 - p**3\/2 + p**2. Let x be o(-4). Let s = -4 - x. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 2*z**2 - 34*z - 20. Give k(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 21*f**2 + 0*f**3 + f**3 - 21*f**2. Let y be a(1). Calculate the common denominator of 23\/11 and (-80)\/17 - -4*y.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076469419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmww when four letters picked without replacement from {a: 2, m: 4, w: 4, z: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3637.044ug to nanograms.\nAnswer: 3637044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -707, 16, -2, -1, 328?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 4) + -1*7. Sort 1, 5, n in descending order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22795723*d**3 - 4635228*d**2.\nAnswer: 136774338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25225308 is divided by 25225290.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/7*c**2 + 27 - 186\/7*c = 0.\nAnswer: -63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 414. Let n = q - 93. Suppose 2*h = 5*h - n. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 1. Let b(o) = -o**3 + o**2 + o. Let q(y) = b(y) + i(y). Let n = -6 + 4. Let h(w) = -5*w**3 - 2*w**2 - 2*w + 2. What is n*q(k) - h(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*b + 0)*(-b - 8*b - b) + (-b - 2 + 2)*(-b - 1 + 1) + b**2 - 4*b**2 + b**2.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/1000*2*-5*(-204)\/(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 5:37 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(621\/51) - 30\/(-345)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73834686?\nAnswer: 2, 3, 41, 33349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 40*a = 0. Suppose a = -c + x + 86, -2*x - 2*x - 174 = -2*c. Calculate the highest common divisor of 272 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1093 not equal to 3068\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 435.4*0.3\nAnswer: 130.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -72910000 rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 + 53. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 6:23 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 323\/95 + 4\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -431*l + 9043. Give t(21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 344*a**2*r - 11*a*r + 28*a + 1666397*r wrt a.\nAnswer: 688*a*r - 11*r + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 1. Let d(r) = 7*r - 3. Determine 3*d(g) - 5*m(g).\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*j - 3, -41*q - 595*j + 81 = -594*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.034 (b) 1\/2 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 e when four letters picked without replacement from kehehkhkhkkokkhkkes.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -164, -327, -490, -653, -816, -979?\n\"Answer: -163*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -20*z + 23. Is i(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/(f*f\/(f**(-5\/7)*f*f))*f**7\/(f**(-8)*f))**(-9))**(-1\/66) assuming f is positive.\nAnswer: f**(153\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/45*(-20)\/(-21). Let m = c - 9\/14. Factor -1\/2*g**4 + 0*g + m*g**2 + 0*g**3 + 0.\nAnswer: -g**2*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-54))\/(19*13\/2223)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1683089?\nAnswer: 1683089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 165286, 166991, 168696?\n\"Answer: 1705*l + 163581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3119*r = -2273*r - 1056*r + 257920 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 6*x + 147 - 150 + 2*x**3 + x**2. Let r be c(3). Let d be (-18)\/r*40\/(-12). What is the closest to 0 in -3, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/25, 4\/11, -4\/2205, 2.6, -0.3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*a + 14, 10 = 4*a + n - 1. Suppose a*w = 331 + 419. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -97. Suppose -7*d - w = -0*d. Let p(v) be the first derivative of -v**3\/3 - 9*v**2\/2 - 9*v + 1. Determine p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 104*f**3 - 19*f**2 - 19*f + 21. Let m(p) = -21*p**3 + 4*p**2 + 4*p - 4. Let k(b) = 2*c(b) + 11*m(b). Does 10 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 543 = 5*i, 0 = -3*i + 3*f + f + 335. Let m = -91 + i. What is the remainder when 87 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 7*z + 8. Determine c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8544 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2. Let k(q) = 21*q - 14 + 14 - 32*q. Determine k(m(o)).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 429 = k. Let o = 112 - k. Calculate the remainder when o is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyynl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2 + 2*v**2 + 20*v**2. Let m(j) = -4*j**2. Calculate s(m(y)).\nAnswer: 288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 28*f**2 + 20*f - 20. Let v be x(1). Suppose -6 = -t + 4*a, -t + v = 5*a - 5. What is the highest common divisor of t and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 41*k**2 - 3*k - 2. Let n be h(-4). What is the greatest common divisor of 148 and n?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415746 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -70562 + 19825511?\nAnswer: 19754949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3659?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + 0 + 1 + sqrt(3200) - (-6*(0 + sqrt(3200)) - (-2 + 1*sqrt(3200))**2)).\nAnswer: -3208 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*h - 5*h = 10, 5*u + 5*h - 15 = 0. Let l = -23 + 27. Calculate the greatest common divisor of u and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 8*c**2 + 4*c - 2. Does 28 divide v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 104*p**2 - 8 + p**3 + 3*p**3 - 90*p**2 + 35*p - 3*p**3. Let h be x(-11). Put 4, 2, h in decreasing order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x - 15. Suppose -17 = -2*n + d, 3*n + 4*d - 11 = 20. What is the remainder when q(-12) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67\/4? (a) -71\/2 (b) -4 (c) 0.1 (d) 5.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 4.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*y, 4*g - 180 = -2*y + 192. What is the third biggest value in g, 3, 5, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000737 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2250 is divided by 172.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 16. Suppose -37 - 2 = -3*u. Let j be b(u). What is the highest common divisor of j and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 73154, 73094, 73032, 72968, 72902, 72834, 72764?\n\"Answer: -q**2 - 57*q + 73212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Suppose 2*z = -5*r - 1 + 6, n*r - 4 = z. What is the derivative of j**3 - 2*j**3 + 3 - r wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030 + 1015 = 4*b + w, -4*b = -5*w + 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5319, -4092, -2869, -1650, -435?\n\"Answer: -2*l**2 + 1233*l - 6550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**3 + 20*q**3 + 11*q**2 - 12*q**2 as k + w*q + y*q**2 + r*q**3 and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4555849045 to the power of 1\/2, to the nearest integer?\nAnswer: 67497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 4*r**2 - 15*r + 27. Determine m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -28.6. Let t = -26.2 - -30.1. Let g = t + r. Which is the third biggest value? (a) g (b) -1\/2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + v + 3*v + 45*v + 57*v - 170*v + 11 - 11 + 4*v + (3*v + 3*v - 5*v)*(1 + 3 - 3) + 0*v - v + 2*v.\nAnswer: -63*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1020142 or -1020140?\nAnswer: -1020142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1*-18)\/(1430\/715).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-754)\/2262*(-6)\/(-17)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**17)*o**(-13) assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001288 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10796 divided by -4?\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2405255*d*n*q**2 - d*n*q - 58*d*n + 59*d*q + 2309*n*q - n - q wrt q?\nAnswer: 4810510*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/5 - 2358*i - 164668\/5 = 0.\nAnswer: -5881, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 - 69*m**2 - 30*m - 565. Calculate w(-23).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 12. Let k = -4.9 - g. Let n = 1.1 - k. Which is the nearest to 3? (a) -2\/7 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 461544 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157915 and 252664?\nAnswer: 1263320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/16)\/((-3)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 11*j**2 + 11*j - 17. Let y be c(-13). Let a = 504 + y. What are the prime factors of a?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from lllvlvlvvlvv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17232*k + 1 + 16878*k - 35084*k.\nAnswer: -974*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/21)\/((25\/30)\/(2220\/24))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - 23 + 131. Let i(n) = 1 - t*n - 1 + 13*n. Let l(u) = -u**2 + 18. What is l(i(s))?\nAnswer: -s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9230)\/(-24921) - (-4388)\/108?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 230 = 2*x, 0 = -2*x + 3*m + m + 260. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2374 and 2\/11153 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -108990922663 take away 0.06?\nAnswer: -108990922663.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 304\/(-48) - -1*8\/6. Is 5\/(l\/(-4268)) + (-24)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -70765 <= -70764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1510 (b) 0.4 (c) 4 (d) -5 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-132)*(-106)\/(-265)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1306 divided by -8989\nAnswer: 1306\/8989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 7*y**2 + 12*y + 7. Let j be f(4). Let v(l) = -l**3 + 7*l**2 + l + 3. Let t be v(j). Solve 5*z + t = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4779438cm to nanometers.\nAnswer: 4779438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/9 + -4 - 2540\/(-15). Let r = 168 - s. Solve v + 4*x + 10 = x, r = 2*v - 4*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 6. Calculate the smallest common multiple of 18 and l(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16*-0.4\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 divided by 9?\nAnswer: 1043\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**5\/120 - 2*t**4\/3 - 266*t**3\/3 + 251. Let x(f) be the third derivative of h(f). Let r(c) = c**2. Calculate x(r(p)).\nAnswer: p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 114.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16128)\/(-90)*30\/14*1610\/20 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x + 132. Let d be a(-10). Solve -y + 3*t + 11 = 0, -2*t - d = -2*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooc when four letters picked without replacement from {b: 1, c: 1, t: 4, o: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 154, 127, 80, 13?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 456 + -291. List the prime factors of u.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2 + s + 1. Let q be u(4). Let i = q + 45. Suppose 0*o + 4*o = -i*a + 28, 0 = -4*a + 16. What is the remainder when 21 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:11 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**5*k**3 - 5*i**5*k**2 + 28*i*k**3 + 2*i*k**2 wrt i.\nAnswer: 280*i**3*k**3 - 100*i**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than -18694\/2235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 20 = -2*u, 0 = -3*u + 4*t - 20. Suppose -3*n + 18 = -u*n. Factor -11*w - w**2 + 16 - 4*w + 4*w**2 + n*w**3 - 10.\nAnswer: 3*(w - 1)*(w + 2)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192209483 to the nearest integer?\nAnswer: 13864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(9\/2)*f))\/f*f**(-3\/11))\/(f\/(f\/(f*f**(-3\/8)))*f**(-11)\/f*f) assuming f is positive.\nAnswer: f**(405\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4238*b**4*l + 84*b**3 + 2*b**2*l + 427*b*l + 2*l + 1951 wrt b?\nAnswer: -50856*b**2*l + 504*b + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = 9. Suppose l*r = 9 - 0. Let t = 3 - 5. Which is the nearest to 1? (a) t (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228 + 86. Let w = b + 144. Solve c = 3*c + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -3\/5, 0.2, 0.3, -0.1 in increasing order.\nAnswer: -45, -3\/5, -0.1, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 10 + 37. Let m = y - -9. Calculate the least common multiple of m and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2375)\/1140 + 14\/6. Let h = -8 - 4. Let m = h - -6. Which is the second smallest value? (a) -1 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065142722 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 2092181.\nAnswer: 20921810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adgaghagdgha. Give prob of picking 1 d, 2 a, and 1 h.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -5, -11, -0.5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b - 24320 = -25121 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221497\/24 + 9235. Find the common denominator of c and -17\/147.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 16. Is ((-1657)\/4)\/((m\/20)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 6. Let n be q(5). Suppose 14 = v - p, -p - n*p = -v + 34. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(25\/(-350)). Let z(s) = s**3 + 4*s**2 - 23*s - 11. Let n be z(o). Solve -11 = -b + n*b - a, -11 = -3*b - 4*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1084933, -1, -4 in ascending order.\nAnswer: -4, -1, 1084933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*y - 315 = 198*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001452 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.81 + 0.11. Let x = -0.4 - s. Let c = -6 - -5.6. Sort c, x, -1 in descending order.\nAnswer: x, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-2 - (-5 + 3). Is (59\/(-2) - -2)*b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y. Let g(m) = 9*m. Let a(b) = -b**2 - 7*b - 4. Let r be a(-7). Let q(p) = r*g(p) + 7*k(p). Let w = 5 + -9. Let j(n) = 7*n. What is w*q(i) - j(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-80709)\/(-18621)) + -6 + (-152)\/(-24). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4011?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r*r**(-8))*r*r*(r\/(r\/r**3))\/r)\/((r\/(r**(-11)*r))\/((r*r\/(r**(-1\/5)*r))\/r)) assuming r is positive.\nAnswer: r**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + 94. Let q = b + -98. Let x be 4\/q + 154350018\/(-63). What is x rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6924033 and 5.\nAnswer: 34620165","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.15, -3, -2\/9?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -25. Suppose 7*y + 64 + d = 0. Find the common denominator of -107\/14 and ((-1)\/(-16))\/(y\/670).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 26. Let x(o) = -1. Let y(i) = q(i) + 2*x(i). Let j be 0\/(-1)*9\/(-18). What is the remainder when 93 is divided by y(j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199775 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1657, -1073, 0 in decreasing order.\nAnswer: 1657, 0, -4, -1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, -0.09, -8\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 15. Let t be ((-1)\/(-1))\/(w\/(-21)). Let l = t + -93. Round l to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -112?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26676, -26670, -26662, -26652?\nAnswer: -26640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + g**2 + 426*g - 426*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)\/q*q**(20\/3)*q)\/(q\/(q*q*q**11\/q*q)*q)**17 assuming q is positive.\nAnswer: q**(542\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 48 = -12*p. Suppose -14 = p*t - 54. What is the smallest value in 2\/5, -1\/6, t?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -88*y**5\/15 - 103*y**4\/6 - 173*y**2. Find the second derivative of z(q) wrt q.\nAnswer: -704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52191\/8 - 6524. Let h = 2 + -6. Put -9, d, h, -3 in ascending order.\nAnswer: -9, h, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -24 - 3. Suppose 0 = 4*o - n - 375. Is o a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13)*u*u\/u**0)\/(u\/(u*(u**11\/u)\/u*u*u))**(-15) assuming u is positive.\nAnswer: u**(-2117\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1))**(3\/7)\/(s**(-2\/5))**7 assuming s is positive.\nAnswer: s**(128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5176 = 2*s. Let x be s\/18 + (-4)\/18. Let h be 1\/(-3*3\/x). Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -822, -3, 1078 in decreasing order.\nAnswer: 1078, -3, -137, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4204*j**5 + 1058*j - 1262*j**2 + 638*j**2 + 2695*j + 624*j**2 wrt j.\nAnswer: 84080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**22\/n)\/n)**(-8\/13) assuming n is positive.\nAnswer: n**(-160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 9. Suppose 2*y + 10 = 4*t, 4*t + 39 - j = -3*y. Let l be 4\/(-6)*27\/2. Is y less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - 30. Suppose -51 + 15 = 4*f. Let m be f\/(-6) + 25\/s. Solve -m = z - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142815129 is divided by 1094?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*x**2 - x**2 + 2*x**2)*(6 - 5 - 2) - 3*x**2 + 6*x**2 + 5*x**2)*(-16939 + 16939 - 78*x) in the form z*x + l*x**3 + a + p*x**2 and give l.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 4*l - 3. Let s be c(5). What is the units digit of (18 - 3 - -1)*s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 196 = 0, 1001 = 7*w - 4*b + 1127 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 16 + 2. Solve -161 + 33*v + 11*v - n*v**2 - 81 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 1. Let h be c(-5). Let q(o) = -o**2 + 9*o - 6. Calculate q(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*m = 441*m - 2*v - 1, m - 54*v = 7*m - 49*v + 62 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - (61 + 18) - -76?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 19*a - 28*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299 or 2381\/8?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 26, -4, 0, -8, 1557, 4 in descending order.\nAnswer: 1557, 26, 4, 0, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42708, -80586, -113634, -141852?\n\"Answer: 2415*s**2 - 45123*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93409448 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17231 + 17331. Suppose 3*t = -t + 20. What is the highest common divisor of t and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 4:22 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 16*f**2 - 715*f + 39. Does 22 divide h(45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 320?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 1, o: 1, d: 2, j: 1, w: 1, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2135 = -4*r + 617. Is 43 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 - 1446*q**2 + 250182*q - 12692386 = 0 for q.\nAnswer: 113, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2371.5 - 2371. Let x = -0.1 - -3.1. Let p = -36 + 182\/5. What is the nearest to 1 in p, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 2*z + 105. Let s(t) = -18*t - 107. Calculate the remainder when s(z) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-33)*-1*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(209)*4 - sqrt(209))*4)\/(sqrt(396) + (sqrt(396) - (sqrt(396) - 2*sqrt(396)) - sqrt(396)) + 2*sqrt(1584)))**2.\nAnswer: 475\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 656. Suppose 16 = 2*d + 2*d, 64 = 4*r + 4*d. Is q\/r - (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 610*i + 11815.\nAnswer: -5*(i - 17)*(i + 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 72 + 69 - 23*q - 268 + 55 + 76. Let i(v) = 4*v. Determine i(j(l)).\nAnswer: -92*l + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = 0. Let n be (12\/56)\/((-30)\/(-14) - 3). What is the closest to -1\/2 in -0.5, 5, n, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 + 10*g - 10*g - 95*g**2.\nAnswer: -111*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74.976 + -75. Let z = 10.024 + o. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:51 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/7420 and -109\/40?\nAnswer: 14840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 - w**3 + 0*w**3 + 11*w**2 - 11*w**2 - 7*w**3 + (9 - w - 9)*(w**2 - 3*w**2 + w**2).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(sqrt(81)*-1))\/(sqrt(20)\/(sqrt(16)\/sqrt(4)*4)).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 + -394. Let j be 4\/10 + l\/(-80). Suppose -j*y = w - 2*y - 20, 4*w + 5*y = 79. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/17 + 18982*l**2\/17 + 38041710*l\/17 - 34412185494\/17 = 0.\nAnswer: -5079, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 + 7*w**3\/3 + 9*w**2\/2 + 2. Let m(d) = -d**2 + 10*d - 6. What is the remainder when m(7) is divided by b(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 0.3, -2, 3, -33, 29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.851 * 20.\nAnswer: 37.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 17*r - 58. Let l be m(-5). Let x be ((-6)\/4)\/(2\/(-4)). Calculate the highest common factor of l and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let v = -4 - -8. Let y(z) = -z**3 - z**2. Let x(b) = 4*b**3 + 4*b**2. Let m(d) = x(d) + 3*y(d). Let g(i) = v*o(i) + 2*m(i). Factor g(u).\nAnswer: 2*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((4\/(-9))\/(2\/(-9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**4\/9 + 170*d**3\/9 - 562*d**2\/3 + 3280*d\/9 + 928\/9 = 0. What is d?\nAnswer: -29, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -707*z**2. Let d(j) = j. What is d(b(l))?\nAnswer: -707*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 4*j - 8 - 6*j)*(-5 - 3*j**3 + 5).\nAnswer: -3*j**4 + 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 9 = -3*l + 31*d, 0 = 5*l - 3433*d + 3428*d - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390671 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -148\/2609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1224\/60 - 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*q - 2*q, -q + 6 = z. Solve 0 = 2*o + 3*h - 2*h + z, 2*o = 5*h - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1337041585553\nAnswer: -1337041585552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4561 at most -4559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*g - 73*g + 39*g as w*g + z and give w.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 2:57 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 220 = 209 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 23*g - 176. Suppose 0 = g*v - 9*v. Factor 9*m**3 + 351*m**2 + 2 - 339*m**2 + v - 11*m.\nAnswer: (m + 2)*(3*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3510 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 253838328 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10758545*d**2 + 5379244*d**2 + 5379303*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/((-4)\/(-1*8)). Let f = c - -1. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 6. Let a be n(5). Suppose -a*w - 30 = 3*z, 5 = -3*z - 1. What are the prime factors of 34*(-1 + (-9)\/w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 54*t - 4. Let b be h(7). Suppose 3*g - 329 = -5*y, 0 = -3*g + 2*y + 2*y + b. Let s = 409 - g. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215442 divided by -3?\nAnswer: -71814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a hour in minutes?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 + 7*t + 7. Let f(b) = -b**3 + 3*b + 3. Let r(w) = -w**2 + 5*w + 12. Let s be r(7). What is s*d(o) + 5*f(o)?\nAnswer: o**3 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 429 and 39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-3 - -7)) + 2 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 4\/(-6))*-12. Let m be 6 + 0*(-2)\/b. Let j = m + 9. Calculate the remainder when 59 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 7*p - 2*p)*(p**3 - 3*p**3 + 3*p**3) - 2*p**4 + 3*p**4 + 0*p**4.\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 2051?\nAnswer: 32816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*k - 11 = 0, k - 22 = 5*g - 172. Let w = 185\/6 - g. Is 0 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 72 + 36 = 0. Suppose -15 - 44 = -3*q + 5*b, 2*q - 41 = 5*b. Calculate the highest common factor of r and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3319\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z - 405 = 21*z + 7*z. Solve z*x - 30 - 78 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11024629 * -7\nAnswer: 77172403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460 - 412 - 460 + 2244 - 5*w - 456 - 456.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 318. Let n = -187 - a. What is the closest to 1 in -5.3, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*r - 240015, r = -0*r + 3. What is p rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 5 = -17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 3*x**5\/20 - x**3\/3 - 3*x**2. Differentiate w(z) wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1140, 2\/9, -1.5, 0.3 in decreasing order.\nAnswer: 1140, 0.3, 2\/9, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 44*r + 64. Determine s(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 48 = 3*m, -38*m + 2*v - 24 = 38*m - 72*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 11*m**2 - 2*m - 20. Calculate q(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 = 8. Let f be -1*1*r\/(-1). Let y = -43 + 47. Solve v - 4 = y*u, f*v = -4*u - 29 + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-7 + 33 - 5) - (-9 - 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -31, 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 1:18 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/520*1\/(1\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/17, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 - 214 = 15*f. Let o be 1 + -1 + 0\/(-2). Suppose 1012 = f*b - a + 2*a, o = 2*b - 5*a - 669. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*q - 5*q + 18, -i - 5*q - 27 = 0. Let x = i - -15. Factor u - 2*u**2 + x*u**2 + 0*u + 0*u**2.\nAnswer: u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a centimeter in micrometers?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/147572 and -139\/522?\nAnswer: 38516292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -14. Let u be (-94*(-3)\/s)\/(-1). What is the tens digit of 1 + -1 + u\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzl when three letters picked without replacement from {z: 1, l: 9, p: 1, u: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339136, 339060, 338854, 338452, 337788, 336796, 335410, 333564?\nAnswer: 331192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 40*h + 312.\nAnswer: -2*(h - 26)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(-1 + 3*sqrt(475) + sqrt(475)) + (3 + -1 + sqrt(475) + sqrt(475) + sqrt(475) + (sqrt(475) - (sqrt(475) + 0)*-2))**2.\nAnswer: 40*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5 + 2 + p**3 + 2*p - 14 - 6*p**2. Calculate the remainder when b(7) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*d - 9, 2*w - 3*d + 27 = 5*w. Suppose 3*g = b + 1, 3*b + 4 = -g - b. Suppose g = -7*f + w*f. Sort -4, 3, f in descending order.\nAnswer: 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by ((-38)\/5)\/(16\/(-40)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -595800.2 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 1}. Give prob of sequence dd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -56. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiiji. What is prob of picking 1 j and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/(-7) + -2 + 14. Let s(l) be the second derivative of -1\/3*l**g + 0 + 1\/6*l**3 - 6*l + 0*l**2. Find i such that s(i) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -32, 2, 4 in descending order.\nAnswer: 5, 4, 2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/5))**47\/(v*(v\/v**(8\/7))\/v*v)**(-30))**(3\/20) assuming v is positive.\nAnswer: v**(-312\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -275 or -9?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -160, -248, -258, -190, -44?\n\"Answer: 39*f**2 - 205*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3650*l - 6039 - 431961 = 0 for l.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 35 = 3*b, 5*v + 7 - 2 = 3*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 - u**5\/12 - 5*u**4\/24 - 2*u**3\/3 + u**2. What is the units digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -19*a + 1634. Let l be j(57). Calculate the greatest common factor of l and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/480*-5*7\/((-42)\/6)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 34336 and 4703961\/137 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -222*p + 75*p**2 + 222*p + (1 + p - 1)*(p + 2*p - p) + 2*p**2 - 11*p**2 - 4*p**2 + (3*p**2 - p**2 - p**2)*(3 + 0 - 4).\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 8*c. Let k be 0\/(12\/4 - 5). Let i(m) = c + k*m**2 - m**2 + 3*m + 3. What is i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3038732159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.61, 0, -5, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Suppose 0 = 4*q - l*w - 71 - 369, -5*q - 2*w + 529 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -374, -357, -334, -311, -294, -289, -302, -339?\n\"Answer: -t**3 + 9*t**2 - 3*t - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, -32, 1\/19, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uffiifffuifffifu. Give prob of picking 1 u and 2 f.\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(4*v + 15*v - 8*v)*(6 - 17 + 1).\nAnswer: 110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 2*w + 4*v - 22, -2*v + 26 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 20121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/240*20\/(1*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19318 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9126304 + -4003181.\nAnswer: 5123123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10001110111100001?\nAnswer: -10001110111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u - 66*u + 109*u + 160 = 0 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125465 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4554807.\nAnswer: 2\/4554807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:37 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t + q = -321, -2*t + 1822 = 3*q + 1825 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57851 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + -6 + (-339)\/36 and 1235\/420 + (-15)\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geeggeegggjjgejg. Give prob of sequence jg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-56)*-8 + (-94)\/(-14). Let a(q) = 3*q - g*q - 13*q. Let w(o) = 9*o**2. Determine w(a(d)).\nAnswer: 2601*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(42)\/sqrt(28)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643?\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.2. What is the closest to o in 0.4, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -209 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(500) - ((-2*sqrt(500)*-4 + sqrt(500))**2 - sqrt(500))) + 3)*-4.\nAnswer: -80*sqrt(5) + 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z - 65. Let m be l(16). Suppose -18 = -m*q + 12. Solve 3 = q*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14734325 is divided by 226680?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*i**2 + 1000*i - 1000*i + 287*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -99fd?\nAnswer: 99fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5251, 10090, 14953, 19852, 24799, 29806, 34885?\nAnswer: 40048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**12)\/((y*(y\/(y**13\/y*y))\/y*y*y)\/y*y))\/((y**(-15)\/y)\/(y*y**(1\/4))))**(-30\/13) assuming y is positive.\nAnswer: y**(-2415\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c = 0. Suppose -5*l + 20 + 115 = c. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.07796 + -2.8615.\nAnswer: 2.21646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 364*u**3 + u - 253 wrt u.\nAnswer: 2184*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12374 - -12376. Solve 2*v - 3 = -s, -v - 3*s = -d*s - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2093, -2085, -2077?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 198*j - 205*j + 182. Let c be j\/4*(-124)\/(-403). Suppose 2\/5*k + 2*k**c + 8\/5*k**3 + 0 = 0. What is k?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4001\/8 - -500. Let d = 16 + -30. Sort -2, d, b.\nAnswer: d, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/(6\/(-45)). Suppose p + 3 = x*m - 8, 3*m - 5 = -p. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050378 rounded to 3 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 41*z**2 + 266*z + 93. Let f be g(32). Which is smaller: -607 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110976 is divided by 358.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2276759 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000130529615 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 548747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p + 26498 - 26423 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -592310?\nAnswer: 592308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1647 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 43*w**3\/3 - w**2\/2 - 1. What is the tens digit of l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 3*g**2 - 2*g + 2. Let r be p(-2). Let d(m) = r*m - 2*m - 6*m. Let l(v) = -v**2 + 11 + 2*v**2 - 11. Give d(l(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 - 4*j**3 - 10*j**2\/3 + 4*j + 11\/3.\nAnswer: -(j - 1)*(j + 1)**2*(j + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734 = 2*q - 0*m + 2*m, m = 2*q - 722. Suppose 0 = 7*z + 183 + q. Let a = -20 - z. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 24 = -d + 3*d, 4*a = -5*d + 30. Let q = a - 8. What is the highest common divisor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -55.0000055. Round w to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 4*n**2 - 5*n - 1. Let c be g(5). Let r(b) = -b**3 + 6*b**3 - 4*b**3. Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -213*c - 87. Is m(-13) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)*-2*5)\/((sqrt(125)*-5 - sqrt(5))*5).\nAnswer: 6*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 11530?\nAnswer: -11534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13785 is divided by 305.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**4 - 21065*i**3 - 22693800*i**2 - 1062007380*i = 0. Calculate i.\nAnswer: -2082, -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2 - 5*r**2 - 2*r + 0 + 3 - r**3 + 3. Let q be u(-5). Is 23 a factor of (-4)\/q + (-1548)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26720665085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/3654 and 41\/59276.\nAnswer: 533484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let d be (90\/(-3))\/1 - x. Does 10 divide -2 + (-4)\/(-2) - d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b**2 + 9. Let k(v) = -8*v**2 - 4. Suppose -252 = 43*p - 15*p. Let n be -4 + 4 + -1 + -3. Determine n*x(y) + p*k(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1049*z - 1053*z + 2796 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*u - 4*u. Suppose -q + u = 14. Is 2 a factor of (-5)\/1*q\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.0828 to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39712032*p = 39712368*p - 32256 for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185117 is divided by 435.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + 13*g**2 + 8*g - 9. Suppose -2*n - 4*s = -1 + 9, -5*n = -4*s + 6. Let r(z) = -z**3 - 3*z**2 - 2*z + 2. Calculate n*d(b) - 9*r(b).\nAnswer: b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 - 18*a + 52. Let k be o(3). Solve k*y = 49*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h**2 - 4*h - 4. Let w(f) = -2*f**2 - 19*f + 3 - 14*f + 13*f**2 + 36*f. Determine -6*r(k) - 8*w(k).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6089, -562 in ascending order.\nAnswer: -6089, -562, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -291, 338, 3\/40, -1 in ascending order.\nAnswer: -291, -1, 3\/40, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*a + 1472 + 770*a**2 + 894 - 121*a**2 + 194*a**2 - 37*a with respect to a.\nAnswer: 1686*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 44\/8)*-26. Let j(b) = -b**3 + 14*b**2 - 10*b - 3. What is the remainder when 213 - 1\/(-2)*0 is divided by j(r)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + sqrt(704)*-2 + -3)**2.\nAnswer: 48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 100, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/4 and 2 - 8 - 6515\/(-1100).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 + 38*t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h - 171. Let k be t(36). Solve 2*a + 2*x - k = 3*x, 0 = 4*a - 3*x - 23 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/63 + 2\/(-9). Let h = 28 - 25. Which is the nearest to 1\/2? (a) d (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -12100120?\nAnswer: -12100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1652 = -2012*p + 2016*p. Calculate the remainder when p is divided by 70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 4. Suppose 3*i = -s + 45, m*i = -2*s + s + 30. Solve 5*w = 3*d + 2, 4*d + 5*w + 11 = -i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8197722 divided by -210198.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/41006 and 101\/116.\nAnswer: 82012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 1677825.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 739326 and 12?\nAnswer: 1478652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156.28 + 176.4. Round b to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7711 (base 8) to base 3\nAnswer: -12112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -5, 304, -1, 20 in descending order.\nAnswer: 304, 20, 4, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201 - 69. Calculate the remainder when (35\/2)\/(33\/t) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + 17 + (-5 - 6 - 8) - 56.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiua when four letters picked without replacement from {g: 5, b: 7, u: 3, i: 2, a: 1, j: 2}?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(4\/(-24)*13\/((-169)\/(-2))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 1, j: 3}. Give prob of sequence ne.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33389756 is divided by 174.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1681, 7611, 17473, 31249, 48921, 70471?\nAnswer: 95881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*c = -103687 - 31139, -5*t + 134827 = 3*c. Let a = t + 48177. Let k = a + -20143. Round k to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 2*a - 6, -5*x = 2*a + 1. Suppose a*n - 5*n = 0. Let v be 2 + 1 + 1*-3. Solve v*k + 4*k + 2*f = 6, -2*k + 2*f - 12 = n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(17) - sqrt(68)) - sqrt(153)\/sqrt(144))**2.\nAnswer: 4913\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5228452.1 rounded to the nearest 1000?\nAnswer: -5228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6206, -6212, -6220, -6230, -6242, -6256, -6272?\nAnswer: -6290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -ecd9e (base 15) in base 4?\nAnswer: -2313223010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2239.071l?\nAnswer: 2239071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Let s = 855 - 854.8. What is the closest to 0.1 in x, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -44817*l**2. Let c(i) = 2*i. Calculate c(u(h)).\nAnswer: -89634*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t + 16, -4*n + 17676 = -5*t. Which is bigger: 4425 or n?\nAnswer: 4425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81991, -90616, -99241, -107866?\nAnswer: -116491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l - 0. Let g be ((-6465)\/432)\/l + 3. Let v = -125\/2736 - g. Is v > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1349206291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -112\/5. What is the smallest value in j, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 176, 391, 692, 1079, 1552, 2111?\nAnswer: 2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.02 - -0.02. Let z = 7 - 2. Let t = z - 4.5. Which is the third biggest value? (a) t (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6b7 + 5?\nAnswer: a6bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3663 divided by 9?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -6*c - 33 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/15*(-27)\/(-12). Which is the second biggest value? (a) 0.4 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883*t = 661*t - 75656 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-22))\/(6420\/(-7062)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 222627.256923 + 0.141?\nAnswer: 222627.397923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 11825*v**2 - 7*v + 11782*v**2 - 5 - 2*v - 23608*v**2. Let w(o) = -o - 4. Let y be w(-5). Let n be 9*1\/(y - 2). Calculate g(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 141*h**3 + 2151*h**2 + 9855*h - 12150.\nAnswer: 3*(h - 1)*(h + 15)**2*(h + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-50) + 1\/2. Sort 1, j, 1\/9.\nAnswer: 1\/9, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/17757 or 1?\nAnswer: 8\/17757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 22*r**3\/3 - 19*r - 31. What is the first derivative of g(n) wrt n?\nAnswer: 44*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*5\/60 + 0. Sort 0.02, -1\/3, s in increasing order.\nAnswer: -1\/3, s, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n - 20 = k, -5*n - 20 = -2*k. Suppose k = x - 4*x - 12. What is the third smallest value in x, -1\/10, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2598 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 320 - 320.1. Let o be 2*5\/(-80) - 12\/160. What is the second biggest value in o, w, -0.3, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500120*n - 32184 = -500567*n for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2824 divide 69148464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - 4\/7. Let c(m) = -3*m**2 - 4*m + 4. Let x be c(-4). Let s = -27 - x. What is the nearest to 0 in s, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**4 - 12*g**3 - 33*g**2 - 12*g + 6. Let q(i) = 2*i**4 - 13*i**3 - 33*i**2 - 13*i + 5. Let a = 52 - 47. Let u(j) = a*b(j) - 6*q(j). Factor u(f).\nAnswer: 3*f*(f + 1)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -356*q - 24916. Calculate c(-70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 - 18*q**3 + 45*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 15*p + 9*p + 4*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + sqrt(704)*-4 + sqrt(704) - sqrt(44))\/sqrt(4).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35739*w*x**3 - 175*w*x**2 - 70*w - 2*x**2 wrt x.\nAnswer: -214434*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15184*j**3*t**3 + 194*j**3*t + j**3 - 98*j**2*t + 2*j*t**2 - j*t wrt t?\nAnswer: -91104*j**3*t + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -193089927?\nAnswer: 193089926.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 15*n**2 - 14*n + 2. Let s(t) = 3*t + 2. Let v be s(4). Let r be w(v). Let g(c) = 7*c**r + 3*c**2 - 4*c**2. Let l(a) = -2*a**2. Give g(l(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 12175*l**2 - 48640*l + 48620.\nAnswer: -5*(l - 2431)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 3*f**2 + 4*f - 4. Let l be z(-4). Find the common denominator of (159\/l)\/(18\/(-4)) and 2\/8 - (-455)\/175.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -49600. What is c rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**4 - 9*w**3 - 6*w**2 - w. Let v(k) = k**3 + k**2 + k. Let g(r) = 3*j(r) + 15*v(r). Factor g(l).\nAnswer: 3*l*(l - 4)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 428 and 18?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of -3*1*(-43076)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*u - 159 = 0, 0*f - 3*f = -3*u - 93. Let b = 92 - 46. Let w = b - f. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172407.\nAnswer: 3, 101, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4339.\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*z = -60*z - 13824 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88805?\nAnswer: 5, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 1503 = 5*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6f841b (base 16) in base 5?\nAnswer: 3332331230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581479*b**4\/4 - 5814789*b**3\/2 + 30236918*b**2 - 65125752*b + 224 = 0 for b.\nAnswer: -28, 2\/581479, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-4 + 3))\/(-13)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 10. Let k be (-126)\/(-4) + o\/(-12). Suppose u = 5*u - k. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 18040 = -46*v. What is the greatest common factor of v and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23111 (base 4) in base 2?\nAnswer: 1011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x)**(1\/5) assuming x is positive.\nAnswer: x**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-25))\/(-8) + 1133\/990 + -1\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/14*(-442)\/(-5). What is the greatest common factor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.981 - -0.069. Let z = n - 0.05. Which is the closest to 1? (a) 1\/3 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siq when three letters picked without replacement from {q: 1, i: 3, u: 1, e: 2, s: 3, t: 2}?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21573776 a multiple of 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + a**2 - 4*a**2)*(-3*a + a + 4*a + (0 + 4 - 3)*(2*a + 0*a - 3*a) + 0*a + 0*a + a + 0 + 0 + 3*a - 3 + 3 - a) - 7*a**3 + 0*a**3 + 6*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70238, 140513, 210788, 281063?\nAnswer: 351338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4997 + -0.4197. Which is the smallest value? (a) d (b) -0.7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -187, -198?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*m - 8 = 19 + 13 - 33, -3*k - 2*m - 17 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 643\/6, -3, 4, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q - 732. Let o be w(-61). Let d = -9 - -5. Let r(k) = -4*k - 1. Let p be r(d). Solve -2*n - 5 = -3*b, -p = -o*b - 5*b + 5*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + 5*(0 + sqrt(3)) + 1)**2.\nAnswer: -333 - 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58653 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 3, -2 in decreasing order.\nAnswer: 3, 0.17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 4*i + 16. Let h = -1 + 18. Let y = h + -17.4. Sort i, y, -3.\nAnswer: -3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -3\/10, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/23)\/p)\/p)\/p)**(1\/20)*((p*p**(-3\/7)*p)\/p)\/(p\/(p**(-1\/18)\/p)) assuming p is positive.\nAnswer: p**(-47483\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 1. Let d be x(4). Let a(q) = -q**2 - q - 1. Let v(s) = 2*s**2 + 4*s + 3. Let m(w) = d*a(w) - v(w). Let h(r) = r**2. What is 3*h(t) - m(t)?\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u + 50*u = 670. Let x = 123 + u. Sort 5, -5, x in increasing order.\nAnswer: x, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 77.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 7*x - 16*x + 28 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05458 + 10.\nAnswer: 9.94542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67967398?\nAnswer: 2, 33983699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/5, 3, 4, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7006, -7668, -8340, -9028, -9738?\n\"Answer: -x**3 + x**2 - 658*x - 6348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*b - 116. Let r = 20 - b. Let p be 111*((-33)\/r)\/1. Calculate the highest common divisor of 37 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 739, 1308, 1883, 2464?\nAnswer: 3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h + 2 + 19*h - 7*h**2 - 32*h.\nAnswer: -7*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 1430251.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5582\/9? (a) 4 (b) -2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -u*y = 2*y. Suppose p + 11 = 5*a - p, -4*a + 10 = -p. Solve 32 = -a*i - 5*f, f + 3 + 1 = y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -139a - -1?\nAnswer: -1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -46. Suppose 0 = 3*h - 0*h + m. Let d be h\/(-2)*2\/(-22)*1. Sort -2\/5, d, 0 in decreasing order.\nAnswer: 0, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - -10.3. Let v = -5.3 + 0.3. Let c = -118991 - -118990. What is the second smallest value in v, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t - 24*t + 50*t - 48*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 12. Let q(v) = 2*v**2 - 13*v + 9. Let y be q(6). Solve b = -4*n - 2*h, 14 = -y*n - 2*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 279 = 705. Let i be (b\/8)\/(13\/(-52)). What is the tens digit of 2\/4 - i\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 6. Let m be q(-5). Suppose 4*o + 0 = 4. Let d = o + m. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1412 = -4*a + 1328, 0 = 5*a + 105. Let n be 4\/13*(-1)\/(-2). Solve u - 2\/13*r**3 + 4\/13*r**2 - n*r = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h**5 + 6322*h**4 - 21830*h**3 + 4574*h**2 + 10920*h = 0. What is h?\nAnswer: -455, -4\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n**3\/7 + 17848*n**2\/7 = 0 for n.\nAnswer: -8924\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 47. Suppose 0 = q - 3*q + 6. Let u = m + q. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516294?\nAnswer: 2, 3, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 89472\/(-224) - 4\/7. Let g = s - -618. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:33 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3568 - (-12 - 12)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 6*i + 13. Determine z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 4. Let a be y(-3). Let u = -12 + a. Round u to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27250328 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**4)**(29\/2)\/(q**22\/(q\/(q\/(q*q*q**(2\/21)\/q)))))**(7\/2) assuming q is positive.\nAnswer: q**(2167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 5*d - 4. Suppose g + 4*g = 2*o + 2, -2*o + g - 10 = 0. Let x be j(o). Suppose -x*p = p - 24. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 17*p**2 + 17*p + 13. What is a(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.045574 grams in nanograms?\nAnswer: 2045574000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**3 + f**2. Let a be n(1). Let c = 13 - a. Suppose c*w + w = 15. Solve q = -5*l - q + 14, 3*l - 21 = w*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 1, y: 3, w: 3, n: 3, f: 1}. Give prob of picking 1 f, 1 y, 1 q, and 1 n.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 35.81595 tonnes?\nAnswer: 35815.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52533656.\nAnswer: 2, 7, 23, 40787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 26*(5 + 84\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180 (base 11) to base 12\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**7\/42 + p**6\/15 - 3*p**5\/5 - 7*p**4\/6 + 11*p**3\/6 + 6*p**2 - 4*p - 9. Determine m so that j(m) = 0.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-4 - sqrt(128)) + sqrt(128))**2*1.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 191*l**7\/3 + 62*l**4 - 2*l + 708. Find the third derivative of h(t) wrt t.\nAnswer: 160440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/4 + 9*k**2\/2 - k\/4 - 9\/2 = 0.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - n - 4*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50866\/7 or 7268?\nAnswer: 7268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26 from 0.75.\nAnswer: 26.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 148 = 2*t, -3*t + 6*b = b - 224. Let j = 151 - t. What is the remainder when j is divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m**2 + 9*m - 4. What is the remainder when 197 is divided by n(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/4 + 471050*l**2 - 887554294197*l\/4 + 887550525801\/2 = 0. Calculate l.\nAnswer: 2, 942099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:42 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006699 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 601, 625, 649, 673, 697, 721?\n\"Answer: 24*r + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 k when three letters picked without replacement from {x: 2, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*z, -11 = -2*z - 1. Suppose m + 2*m - 3 = 0. Suppose m - 9 = 4*w. Sort w, f, 3.\nAnswer: w, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvqqqzzzzk. What is prob of sequence vk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -84*j**3 - 5*j**2 - 6*j. Let u be (-84)\/15 - (-4)\/(-10). Let g be q(u). Suppose -l = l + g. Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1571992 - -1571992.0999987. Let t = -0.1 + h. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -0.3, -1\/4 in descending order.\nAnswer: 0.5, 0.4, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1478561 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = 2*t, -4*x - 22 = -3*x - 5*t. What is the tens digit of 2*((-281)\/x - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:22 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2471063\/90 - 27458. What is the common denominator of n and -31\/2961?\nAnswer: 29610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2262.4323 months to decades.\nAnswer: 18.8536025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18215 - -18232. Let b(c) = -20*c**2 + 5. Let i(h) = 7*h**2 - 2. Determine v*i(f) + 6*b(f).\nAnswer: -f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 771078, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3, -1331.\nAnswer: -1331, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (13\/(-10) + 0). Let f(m) = -m**3 + 46*m**2 + 50*m - 135. Let a be f(47). Let c be (2 + (-44)\/12)*a\/(-30). What is the closest to c in 3, 2\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 194.5896 decades?\nAnswer: 23350.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-1) - (6 + -5 - 2). Suppose 5*p + 195 = m, -k*m - 5*p + 915 = -3*m. What are the prime factors of m?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 14. Solve 0*g - g - 9 = t*p, 4*g - 24 = 3*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + 103. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 148, 126, 90, 40, -24, -102?\n\"Answer: -7*d**2 - d + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27128545?\nAnswer: 5, 5425709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6986 is divided by 1702.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 292407 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*i - 740553 = -343890 + 887433. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2. Suppose 3*d - 4*v = 9, v + 12 = -3*d - 2*v. Suppose 0 = -4*p - 65 + 85. Let i = d + p. Let a(g) = 4*g**2. Determine i*a(t) + 7*u(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 1, 1.4.\nAnswer: -1.5, 1, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-5 - -12) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 238*y - 240*y + 1.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.3.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d6e - -e?\nAnswer: 6d7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223 - -1112\/5. Let t = -0.3 - -0.29. Let s be 42\/11 - (-72)\/(-3 - 15). Which is the nearest to m? (a) s (b) 0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 29 = d - 20, 113 = 2*d + 5*n. Suppose -10*g + 7*g = -d. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22340 (base 7) to base 2.\nAnswer: 1011000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222012121 - -20122?\nAnswer: -221221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*h - 2*h, h = 4*n. Let u be ((-5)\/3)\/((-10)\/30). Solve 3*v = -m - n + 4, -u*v = -4*m - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29954, 29967, 30004, 30077, 30198, 30379, 30632?\n\"Answer: 2*s**3 - s + 29953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33b (base 12) to base 4\nAnswer: -13133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 + 600*l**2 + 604*l = 0.\nAnswer: -1, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(63)*2)\/sqrt(9)*-2)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -64. Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*u + 17*u**2 - 3*u**2 - 915*u**3 - 651*u**3 - 18*u wrt u?\nAnswer: -9396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 105*f**2 - 16*f**3 + 5 + 50*f**2 + 11*f**2 + 2*f + 45*f**2 in the form x*f**2 + m*f**3 + o*f + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 130 (b) -6 (c) 6 (d) 3 (e) 0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11737422 and 6084?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 8385080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212 is divided by 840?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1217*a + q - 67 = -1212*a, q = -5*a - 63 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, y: 1, n: 1, k: 3, b: 1, v: 5}. What is prob of sequence byvv?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2100 and 37\/39060.\nAnswer: 195300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, 10, 6, 0.1, -3 in descending order.\nAnswer: 10, 6, 0.1, -3, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (-10 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766351.\nAnswer: 31, 59, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363 less than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, z: 3}. What is prob of sequence zrrz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.170297 centuries?\nAnswer: 41.70297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = x + 9, -4*x + 17 = -5*w + 2. Suppose x = -30*q + 20 + 10. Sort -3, 10, q in descending order.\nAnswer: 10, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 5. What is the remainder when 1\/(-2*(-1)\/38) is divided by o(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9204*s**2 - 9*s + 4204. Let r(y) = -2299*y**2 + 2*y - 1051. Let n(t) = -9*r(t) - 2*w(t). Differentiate n(z) with respect to z.\nAnswer: 4566*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/189 and 163\/126.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(272)*-2 - sqrt(272)) + sqrt(272))**2 + sqrt(272).\nAnswer: 4*sqrt(17) + 1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1029 = 4*x, 2*x + 10*s = 6*s + 502. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u + 43 - 30 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 10:57 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8618049 - 8618049 + 422*i.\nAnswer: 422*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/4)\/((-21)\/56). Solve 3 = -3*s - k - c, 0 = -3*k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 21 = -12. Suppose 5*n + o - 45 = -2*o, o = 4*n - 19. Suppose -63 = 3*q - n*q. Calculate the remainder when q is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88\/171 - 14\/19. What is the smallest value in 3\/2, 0.5, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.1, -1609, -20\/83, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 252.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*b + 209, b - 3*n = 5*b - 286. Suppose -3*g + 2*r + 31 = 0, -20 = 5*g - 3*r - b. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -795660536 + 0.4.\nAnswer: -795660535.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004327355 to 5 decimal places.\nAnswer: 0.00433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20285 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 38. Suppose l = -2*d + 4*d. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32278 + 58110. What are the prime factors of z?\nAnswer: 2, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5565 = 2508 - 2277. What is the smallest common multiple of 635 and j?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 197.02359 hours?\nAnswer: 8.20931625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203.1321mg to tonnes.\nAnswer: 0.0000002031321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95439*o = 95646*o + 8901 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmyyyymmmmymm. Give prob of picking 1 m and 1 y.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/4 - 1\/(-4). Let m be (1\/(-2))\/((-1)\/k). Let h(f) = 1300 + 2*f - 1299 - 8*f - 5*f + 3*f. Determine h(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1, -4 in descending order.\nAnswer: 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*16\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = -4*i + 4*h, 0 = 4*i - 4*h + 28. Let d be (i + -1)*2\/2. What is the units digit of (-56)\/d - (-2)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*10*(-1)\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -344004*t**6 - 10*t**2 - 84*t + 35 wrt t.\nAnswer: -41280480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*t + 12, 3*l = -4*t - t - 22. Suppose -j = -4*k + 8 - l, -4*j = 4*k - 52. Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3361*i**2*v**3 + 838727*i**2 + 20883*i*v**2 - 45*i wrt v?\nAnswer: 10083*i**2*v**2 + 41766*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5259 in 0.06, 5, -3, 9\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -55636587 divided by -6181843\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.0314 - -0.0314. What is the closest to -0.4 in q, 4\/5, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - k**2. Let p(z) = -5*z**3 - 17*z**2 - 50*z + 22. Let t(v) = -2*n(v) + p(v). What is the units digit of t(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844668?\nAnswer: 2, 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2*n = -12, 135*n + 6 = 132*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6 and 31\/471780?\nAnswer: 471780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 25. Let n = 7 - k. Suppose 0 = 3*c - n*c. Sort c, -3, -2 in decreasing order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44975162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 3. Let k be z(-7). Let j be ((-9)\/3 - -2) + k. Let m = 1 + j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:20 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Let h(s) = -s**2 + s. Let z be 0 - 2\/(-10) - 196\/(-70). Let b(g) = 2*g**2 - 2*g. Let f(i) = c*b(i) + z*h(i). Factor f(t).\nAnswer: -t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17334749539 - 0.0008.\nAnswer: -17334749539.0008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*y - 17. Calculate the least common multiple of 4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5330 + -5335. Let z = 4.87 + 0.13. Let s be 1 + 0 + (-20)\/17. What is the third smallest value in s, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8.1, 4, -5 in descending order.\nAnswer: 8.1, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011010 (base 2) to base 13.\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*w**3 - 243*w**2 - 3*w + 4104153 wrt w.\nAnswer: 15*w**2 - 486*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w**3 + 111*w**2\/2 + 777*w\/2 - 435 = 0 for w.\nAnswer: -29\/6, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(24\/(-9) - -1). Let n(g) = g**2 - 6*g + 5. Let u be n(m). Solve -3*c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/1097 + -3221\/7679. Let r = -12.9 + 2.9. What is the third smallest value in r, q, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 15. Let h be w(9). Sort -1, 4, h in descending order.\nAnswer: 4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 742, 803, 886?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/1743*-6*1?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 475985923 divided by -3\nAnswer: -475985923\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -267836, -535537, -803238?\n\"Answer: -267701*b - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1092 - -7681\/7. Calculate the common denominator of 49 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.6873 + 0.0027. Let r = -0.11 - f. Let j = r - -3.8. Which is the smallest value? (a) -8 (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 3. Let m be d(0). Suppose 0 = 5*z - 19 + 4. Solve 0*l + m*l = z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -382?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -54\/3531269 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wweowyddwywwwwoee. Give prob of sequence yew.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 365 + 398. What is the smallest common multiple of 258 and o?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 2066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37917 and 2783?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492839769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + (-7 - -2) - -2895. What are the prime factors of (-1 + 3)\/(7\/q)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/r**(1\/2) assuming r is positive.\nAnswer: r**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -959e?\nAnswer: 9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 180*d - 2. Let r(h) = 12*h**2 + 900*h + 12. What is -11*o(x) - 2*r(x)?\nAnswer: -2*x**2 + 180*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -211*j**2. Let n(s) be the second derivative of -s**3\/6 - 1803*s. Calculate n(h(z)).\nAnswer: 211*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12)\/t*t*t)**27*(t**(-9))**(-6\/19) assuming t is positive.\nAnswer: t**(-5589\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 38850 - 472\nAnswer: 38378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19 and -1832.357.\nAnswer: -1851.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2592 times 1?\nAnswer: -2.2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4986*b - 504 = 5042*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 492533 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/6 + 5*d**2\/2 + d. Let m be (-7 + 5)*(0 - (-2 - 1)). Determine l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*q - 17*q - 13*q - 2 - 86*q**3 - 13*q to the form x + j*q**2 + w*q + b*q**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75164218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 4, h: 3, x: 5, q: 1, g: 1}. What is prob of sequence hkgx?\nAnswer: 3\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22693.07 - -22660. Is -2\/3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r + 5*r - 140 + 141. Let l(g) = 3*g**2. Calculate l(j(w)).\nAnswer: 588*w**2 + 84*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -6 - (-1 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 31 - 6*q + 29 + 0*q - 3*q**4 + q to z*q**2 + f*q + d + i*q**4 + v*q**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 + 1886*q + 9512. Calculate i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 14110 - 1163. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 992 divided by 248\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022000 - 102022112?\nAnswer: -112121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*u + 2880*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60552524569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 + -964. Let k = t - -948. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -1.11384\nAnswer: -1.21384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + -7 - (968 + -935)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 2*r**3\/3 - 23*r**2\/2 + 48*r. Let s(b) = 2*b - 11. Let x(n) = 9*s(n) - 4*t(n). Calculate x(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -303, -298, -281, -246, -187?\n\"Answer: j**3 - 2*j - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 15. Let f be (2 - 3) + t + 1. Let h = -4 + f. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21550 by 4310.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*g + 20 = 153, -176 = -4*n - 3*g. Let t = 304 + -211. What is the remainder when t is divided by n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391013737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00230797 to five decimal places.\nAnswer: -0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:30 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**4 + 44*f**2 - 2400*f. Let i(u) = u**4 + 2*u**2 - u. Let a(o) = -8*i(o) - v(o). What is the second derivative of a(p) wrt p?\nAnswer: -192*p**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(700) - (sqrt(700) + 5 + sqrt(700) + -2) - (-5 + sqrt(700)*-4 + 3))**2.\nAnswer: -140*sqrt(7) + 34301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/50*420\/(-378)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2934320?\nAnswer: 2, 5, 43, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-4))\/(r**(-1\/6)*r))\/(((r**8*r)\/r)\/r**9) assuming r is positive.\nAnswer: r**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4*20\/35)\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64279 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 - 11*q**3 + 20*q**3 + 2*q**3.\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**5\/20 + 5*u**4\/12 + 2*u**3\/3 - u**2 + 2*u. Let n be v(-2). What is i in i**2 - 1 + 3*i**2 - i**n - 2*i - 4*i**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2\/2 + s - 1. Let k(a) = -2. Suppose 0*f - 2*f = -5*d + 7, -19 = -5*d - f. Suppose 4*n = -d*n - 7. Give n*k(q) - r(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*y + y**3 - 17 - 48*y - 10 wrt y.\nAnswer: 3*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/13 + 1868*k\/13 + 688822\/13.\nAnswer: -2*(k - 1217)*(k + 283)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2\/7 + 234*x\/7 - 645 = 0. Calculate x.\nAnswer: 35, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 6. Let v = 26 - w. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 162\/6529901?\nAnswer: 162\/6529901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 5. Let x be w(2). Which is smaller: -2\/813 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 208*k**2 - 16*k + 17. Is o(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 10. Let q be m(13). Suppose h = 3 + 2, 4*o + q*h = 815. Suppose 0 = n - 5*c + c - 22, 5*n = 2*c + o. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from {p: 8, o: 3}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 466388?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + ((-11900)\/424)\/7. Let f = -656\/105 - -98\/15. Which is greater: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20730000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/7 + (-10)\/(-70))*54. Let z = u - 52. Solve -5*x + 2*j - 20 = 0, -3*j + 17 = -3*x + z*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/24*(-4)\/72*20.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 3*f + 12, 0 = 6*g - 2*g + 4*f - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 2, j: 1}. What is prob of sequence ghj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {s: 7, z: 4, w: 5}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-26) - ((-30)\/75)\/((-130)\/3625).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a645 (base 12) in base 10?\nAnswer: -80405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 4. Suppose 373*s = -1189 + 70. Let r be -1 - -2 - -1 - 0. Let p(d) = r + 3 + 2*d + 0. What is s*v(w) + 2*p(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 - 51. Suppose -4*g + q = -47. Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 - 1.8. Round p to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 2*a + 0*a + 2*a - a + a + (-a - 2*a + 4*a)*(0 - 3 + 2) - 1 - 2*a + 1 + (1 - 4 + 1)*(-45 + 101 - 35)*(-a + 4*a - 4*a) as d*a + h and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s - 2. Let o(c) = 4*c - 2. Let z(q) = -o(q) + v(q). Let k(d) = -3*d - 49. Calculate k(z(r)).\nAnswer: -6*r - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) - (-72)\/27. Which is smaller: 7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/12 - 24*c**2. Suppose 2*k - n - 27 = 4*n, k - 12 = 2*n. Let t(m) = -k*m + 3*m - 12*m. What is t(z(a))?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -39, 14, -1 in ascending order.\nAnswer: -39, -1, 0, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsksesekgeee. Give prob of sequence esg.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 65988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 60375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**3 - 22*l - 15*l - 4*l**2 + 34*l + 3. Let c(s) = -4*s**3 - 4*s**2 - 2*s + 2. What is 3*c(r) - 2*u(r)?\nAnswer: -2*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 2*m + 1. Let o be h(-3). Suppose 5*g + 5*s - 27 = 38, -o*g + 31 = -3*s. What is the least common multiple of 22 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2299363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*l - 1 - 340*l**2 + 71*l - 18*l + 30*l**2 - 18*l in the form i + j*l**2 + q*l and give j.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in -1\/4, 4, 2, 0.2, -3181?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4278 and 42.\nAnswer: 29946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1340.617255 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 810087468 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**2 + 4733*w + 42666. Calculate p(-9).\nAnswer: 1122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-43)\/(-6) + (-4)\/24. Let l(n) = 6*n**2 - 7*n - 3 - 5*n**2 + 1. Calculate l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2 - 6*r + 5. Determine j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13503 or -13502?\nAnswer: -13503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 1 (c) 4 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2082*k**4*u + k**4 + 65*k**2*u - 4623*k*u + 136*k + 3*u - 1 wrt k.\nAnswer: 24984*k**2*u + 12*k**2 + 130*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w = 42086 + 18546. List the prime factors of w.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22 + -3)*(-1 - 5). Let c = 165 - k. Let z = -16 + 36. Calculate the highest common factor of c and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21122101112 (base 3) to base 5\nAnswer: 14303313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/5, -3, -0.2, 11211.\nAnswer: -3, -2, -2\/5, -0.2, 11211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 409 + -1633\/4. Which is the closest to 0.19? (a) s (b) 15 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -38.4. Let y = u + -3.6. Let m = y - -2. Sort m, 0.1, 0.2 in ascending order.\nAnswer: m, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*q - 616*q + q**3 + 295*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -620403 minus -100.2?\nAnswer: -620302.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/120 + w**4\/24 + w**3\/6 - 2*w**2. Let v be p(2). Let y = -1.3 + 1.5. What is the second smallest value in y, 0.3, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.08746 microseconds to hours.\nAnswer: 0.00000006307985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39945 * 2.42.\nAnswer: -96666.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 88, 3, -38, -72, 2, -13 in ascending order.\nAnswer: -72, -38, -13, -3, 2, 3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 k, and 1 c when four letters picked without replacement from zhcckzhhcnzohczczkhh.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 8:04 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*h - 174722 = 0, 2*h + 9 = 3. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2\/7 (c) -19\/2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 24*m**2 + 525*m\/2 + 625.\nAnswer: (m - 25)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 377, 377, 379, 383, 389, 397, 407?\n\"Answer: n**2 - 3*n + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 0*w)*(-3*w**3 + 0*w**3 + 2*w**3 + 3*w**3 - 3*w**3 + 2*w**3 + (-2 + w + 2)*(2*w**2 + 3*w**2 - 3*w**2))*(9*w - 14 + 14).\nAnswer: -54*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*z = 5*z + 51, 2*z = -2*c + 14. Let i = c - 5. Suppose -i*q - 3*n + 271 = 0, 5*n - 340 = -6*q + q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/60 + k**4\/24 + k**3\/3 + 16*k**2. Let t(z) = -6*z**2 + 4*z + 11. What is -11*h(y) + 2*t(y)?\nAnswer: -y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27708 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2\/11, -2\/815, 0 in ascending order.\nAnswer: -2\/3, -2\/815, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42346746*x + 40931382 wrt x?\nAnswer: -42346746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*t**4*w**2 - 2917*t**4*w + 56024*w**2 wrt t?\nAnswer: 28*t**3*w**2 - 11668*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -287*y. Let f(d) = d**2. Determine k(f(r)).\nAnswer: -287*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 16 = -8*b. Suppose p = 5*i - 251, -b*p - 2*p = -3*i + 137. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 32*u - 29*u + 12 = 0, -2*u - 8 = -5*y. Solve -3*t + 5*c = y, 0 = 2*t - c - 9 + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15 + 14*g**4 - 17*g + 5*g + 12*g wrt g?\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1 + 1 + 74*x. Let k(m) = 4128*m**2 - 2064*m**2 - 2065*m**2. Determine s(k(j)).\nAnswer: -74*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9952360*-66\nAnswer: 656855760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 443363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-14 - -22) - (7 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-306538)\/812 - (2 + -4). Let d = -751\/2 - x. Let b = d - -195\/812. What is the nearest to 2 in -4, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -v + 242 - 1037, 3*y + 3*v - 615 = 0. Suppose 1040 - y = 2*h. Does 38 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -37. Sort 0.1, 3\/7, n in descending order.\nAnswer: n, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - 6 - 0 - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2 - (-6)\/9. Let q(p) = -144 - 33*p - 22*p + 60*p. Let o be q(29). Which is the fourth biggest value? (a) f (b) -4 (c) 0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 4c091?\nAnswer: 4c08f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 86 = 5*p, 5*f - 110 = -p + 12. Let q(u) = 3*u**2 - 120*u + 643. What is the remainder when q(5) is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 2*y - 2. Let h be g(-2). Suppose 28*j - 144 = 108. What is the highest common factor of h and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33567?\nAnswer: 3, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let y(g) = -t*g**3 + 68 - g**3 + 16 - 2*g + 3*g**3. Let m be y(0). What is the highest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1300 - -897. Let w = 450 + z. Which is the biggest value? (a) 1\/2 (b) w (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2781 is divided by 770?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -386, 2, 4 in decreasing order.\nAnswer: 4, 2, -5, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q + 60 = 0. Let k(s) = s**2 + 7*s - 10. Let i be k(-9). What is the remainder when q is divided by ((-10)\/i - -3)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**7\/336 + 13*a**6\/240 - a**5\/80 - 13*a**4\/48 + a**3\/48 + 13*a**2\/16 + 86*a. Find c such that z(c) = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -44*a. Let d(m) = -3*m**2 + 1720*m + 80. Determine k(d(x)).\nAnswer: 132*x**2 - 75680*x - 3520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 15*o + 38. What is y(24)?\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Suppose -d + 52 + 46 = l. Let j = d + 8. Calculate the remainder when j is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11436 + -11435. Which is the nearest to 4\/5? (a) y (b) 2 (c) 0.02 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/62 and 58\/3.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -10*a - 7*a + 3*a - 7*a + 102 - 123. Calculate the remainder when p(-5) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*m - m**2 + 30 - 15 - 1652*m - 15 in the form o + c*m + x*m**2 and give c.\nAnswer: -1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/59 (b) 54\/31 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**15\/(k*k*k**(3\/5)) assuming k is positive.\nAnswer: k**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 206 = -y + k, -169 = -4*y + 5*k. Suppose -31 = -4*w + y. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-20)\/(-12))*6. Let a be (1\/3)\/(r\/6). Let -a + 0*z + 1\/2*z**2 = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8567\/5 + -25706\/15. Let s = 0.01 - 3.01. Which is the biggest value? (a) -0.1 (b) i (c) s (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1838267342 + 71.45?\nAnswer: -1838267270.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 33. Calculate the remainder when o is divided by (6\/10)\/((-3)\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and -61636.\nAnswer: -61636.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138 + 134. Sort 5, -2, n, 1 in decreasing order.\nAnswer: 5, 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:59 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 + 6. Let h(d) = -93*d + 8. Let u(a) = 2944*a - 253. Let g(i) = -253*h(i) - 8*u(i). Give g(p(v)).\nAnswer: -161*v**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 + -145. Which is the closest to 2? (a) z (b) -15 (c) -2\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 6*t - 2. Let o(u) = 16*u**2 + 31*u - 11. Let h(j) = 2*o(j) - 11*v(j). Let f be h(-4). Solve 5*g + 4*k - 19 = f, 1 = -g - 2*k + 6*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -20. Find the second derivative of -2*w**3 + 0*w**3 + j*w**3 + 3*w + 0*w wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8522, 17064, 25606?\n\"Answer: 8542*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/305 and -36\/475.\nAnswer: 28975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 - 1 - 2\/2. Let u(o) = -19*o - 247. Let m be u(-13). Solve m = -2*t + 4*t - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*b + 416348 - 46774. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-30 - -6)) + -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -64, 0 in increasing order.\nAnswer: -64, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 - 591 + 151)*(-5*f - f + 4*f) in the form i*f + x and give i.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 24*j + 220*j**2 + 0 - 224*j**2 - 10*j**5 wrt j.\nAnswer: -200*j**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*l - 4*w - 168, 483 = -4*l - w. Let f = l + 367\/3. Let v = 2 + -1.6. Sort 3, f, v in ascending order.\nAnswer: v, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-35)*w**(-7)*(w\/w**(-2\/7))\/w)\/((w**(-1))**30*(w**(-1))**(-2\/67)) assuming w is positive.\nAnswer: w**(-21923\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526*y**3 + 2072*y.\nAnswer: 3156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -681 and -682 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 166*d**3 - d**2 + d + 90872?\nAnswer: 498*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -16. Sort g, 0.4, 3 in decreasing order.\nAnswer: 3, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnru when four letters picked without replacement from {r: 1, x: 1, h: 1, u: 1, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 4*h**2 - 6*h - 7. Let v = 560 + -564. Let y be v*((-14)\/(-18) - (-14)\/63). Give r(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 - -127. Calculate the remainder when 228 is divided by x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25946377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/((-1)\/(-1) - (-4 - -3)). Let x(a) = 0*a**2 + 3 + 2*a - a**2 + 0. What is x(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83592 and 55212?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 57. Let q(m) = -3*m. Give y(q(f)).\nAnswer: 3*f + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258613685 is divided by 86204561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8351*v + 27 + 8337*v + 219)*(v + 3 - 3).\nAnswer: -14*v**2 + 246*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74006 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -707450 - -1559450. Suppose 0 = -4*a + 7*a - t. What is a rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 36 = -4*u, 2*w - 6 = 6*u - 8*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/120 - 2*p**5\/15 + p**4\/3 - 2*p**3\/3 - 3*p**2. Let m be i(-9). Solve -d + 4 = m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2. Let i(a) = -466*a - 435. Let r(k) = 621*k + 597. Let x(j) = -11*i(j) - 8*r(j). Calculate x(z(l)).\nAnswer: 316*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 0 (c) 1 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 934174438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 - -5) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 9:10 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 1 - 7*x - x**4 + 6*x + 6*x**2 in the form h + i*x**3 + s*x**2 + m*x**4 + t*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30570168 and -1.\nAnswer: -30570168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/((-42)\/(-42)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 2\/5 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18)\/r*r)\/(r*r\/(r*r**(-4\/5))))\/(r\/(r*r*r**(1\/37)*r)*r\/((r*r**1\/r)\/r)) assuming r is positive.\nAnswer: r**(-3473\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 62.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4253647 or -4253646?\nAnswer: -4253647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1209 + -1204. Solve o + w + 5 = h*w, 4*o - 4*w = 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z = 2*z - 6864. Suppose 2*r - 84 = -6. Calculate the remainder when z is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a (base 11) to base 13.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r**3 + 54*r**3 - 170*r**3 + 48*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00892099 rounded to two dps?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from {e: 1, n: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 + -145. Let z = 13645 + -13625. Calculate the remainder when n is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177681187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -360004046 - 4?\nAnswer: -360004052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 + -97.7. What is r rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of (-46872)\/(-45) + (-3)\/5 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -1)*(-100)\/(-40). Suppose 0 = j*a - 2*n - 773, a + 0*a - 3*n - 152 = 0. Calculate the remainder when a is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/18 (b) -58 (c) 3 (d) -2\/3 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + 0*r**3 - 3*r**3 - r - r**2. What are the prime factors of a(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**(-13\/2)\/(j**(-3)*j)**(10\/11) assuming j is positive.\nAnswer: j**(263\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 553, 1140, 1761, 2410, 3081, 3768?\n\"Answer: -b**3 + 23*b**2 + 525*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875 a factor of 421755919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3346 and 5325398?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.82454 to 1 dp.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -5*j**8\/56 + 23*j**5\/60 - 19*j**2. Find the third derivative of g(n) wrt n.\nAnswer: -1800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 221072738*b**2 + 532495843 with respect to b.\nAnswer: 442145476*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/2827 and 23\/19789.\nAnswer: 19789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 5*c)*(2*c**2 - 5*c**2 + 4*c**2) + 0*c**3 - c**3 - 11*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kffffffkktkfkfkfff. Give prob of picking 4 f.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -3*l**4\/4 + l**2 + 26*l. Let r(n) = 28*n**2 - 7. Let o(u) = 4*r(u) + 14*y(u). Let m(f) = 3*f**2. Determine m(o(s)).\nAnswer: 588*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18099 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + -5 + 365\/30 and 2\/6 - (-22)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18216, -35486, -52756, -70026?\nAnswer: -87296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/48 + 27\/936. Let a = 6 - 4. Sort k, 3\/5, a.\nAnswer: k, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 + 13*w**3\/6 - 3*w**2 + 3346*w. Give m(9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j - 33. Determine n(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23\/75 + -2\/75. Let l = 0.348 + 0.152. Which is the nearest to j? (a) l (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428891447 to the nearest integer?\nAnswer: 20710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43479657 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43779\/4810 + 4\/2405. Let c be -3 - -746*1\/14. Let y = 2735\/42 - c. Find the common denominator of y and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {r: 3, v: 1, m: 11}.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xix when three letters picked without replacement from nzzxzznzzzixz.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 2, r: 3, s: 1, y: 7}. What is prob of sequence zsqy?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*j - 2190*j + 3*j + 91*j - 189*j - 1440*j.\nAnswer: -3371*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -181*t - 2. What is the remainder when p(-1) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 63*l**2 + 247*l + 2. Determine f(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84493 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myfyff. What is prob of picking 2 f and 1 m?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-one fifths of a millennium?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*q**4 - 463*q**3 - 172117*q**2.\nAnswer: 2184*q - 2778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 292*y - 1. Let o(s) = 2*s. What is o(d(t))?\nAnswer: -4*t**2 - 584*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35470 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1669481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*x - x = -81, 2*x = i - 22. Solve 9*a = 4*a - i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, -0.5, -23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 35.01312 nanometers?\nAnswer: 0.03501312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 347 - a?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2659389261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-3)\/((-3)\/(-22)). Solve g = -5*o + b, 4*g + 0*o - 40 = -5*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -48\/5, -2\/75, -3\/2, 2\/29, 3?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3 - 15. Let y = p + -4. Suppose -14 = -y*g - 6. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d, -4*u + 2*d + 12 = 3*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 3*c - 2. Let y(l) = 10*l**2 - 9*l - 5. Let a(d) = -7*s(d) + 2*y(d). Let z be a(3). Suppose -78 = -z*k + k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 40\/(-12))*(-30)\/4. Suppose 5*o - u = 0, s = -s + 3*o + 51. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/268 or -1?\nAnswer: 15\/268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53444088.\nAnswer: 2, 3, 23, 59, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by 6?\nAnswer: 275\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7834172.\nAnswer: 2, 661, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = 0. Suppose 4*p = -x + 28. Let o be -5 - -2 - (0 - p). Solve o*y - 5 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.7726 to 1 decimal place.\nAnswer: -99.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 6*z**2 + 8. Let p be w(6). Solve 2*s + p = -4*l, -3*l + 6 = -2*s - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-12)\/(-4))*1. Suppose -4*i = -x + 13. Let w be (0 + 1\/i)*-30. What is the greatest common factor of 120 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 4*p - 2. Let f be u(5). Suppose 0 = -11*q + 15*q - 16. Sort f, q, -5 in ascending order.\nAnswer: -5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.247 + -32.553. Let d = g + -4.2. Let h = -36 - d. Is 4 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w - 181. Give l(26).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-5)\/(-7))*28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and ((-20)\/(-30))\/(1\/45)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(1\/5)))\/(u\/(u\/(((u**(-12)*u)\/u)\/u)*u*u)))**(3\/5) assuming u is positive.\nAnswer: u**(222\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -3, 4, 17, 1, -5.\nAnswer: -19, -5, -3, 1, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2931474 and -29\/78.\nAnswer: 2931474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 1 - r**4 + 3*r**3 + (-407 + 407 + 12*r)*(31*r**3 - 62 + 62) + 4*r - 3*r**4 - 4*r.\nAnswer: 368*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2\/5, -2\/1921, 19450?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = -f - 41 + 106, -4*a - 4*f = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -275 + 2482\/9. Find the common denominator of s and -64\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2 + 2*n - 4*n)*(-3*n**3 + 5*n**3 + 2*n**3).\nAnswer: -8*n**4 + 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6775 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - 151. Let o = a + 211.5. Let v = -1 - 0. What is the second smallest value in v, -1\/6, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 64. Let m = -1219 - -1329. Calculate the remainder when m is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20170741 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147399448 to the nearest integer?\nAnswer: 12141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -1372, -3631, -8012, -15223, -25972, -40967, -60916?\nAnswer: -86527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k. Let x(g) = -7*g. Let u(a) = 7*x(a) - 6*z(a). Let l(s) = s. Determine u(l(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2135 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3)**(-40)*n**(1\/26)*n*n\/n**(-2\/73) assuming n is positive.\nAnswer: n**(-223839\/1898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1552 - -1556. Which is the closest to 0.2? (a) 1.7 (b) -0.3 (c) -1\/3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -14. Let h = 3 - 2. Let g be (1 - v)\/(h\/(-3)). What is the highest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 - 27*y + 30. Let g be x(4). Suppose 7 = n + 2. Suppose 3*b = 6, -4*b + 11 = -n*h + 3. Solve 15 = -5*j - h*j + 2*p, g*p - 11 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 v when three letters picked without replacement from {j: 7, v: 2, u: 6}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6558, -2, 0.4 in decreasing order.\nAnswer: 6558, 2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18\/7 (b) -3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {p: 8, r: 7, o: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218706 a multiple of 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -16*c + 0*c**3 + 0*c**4 + 0 + 11\/2*c**2 + 0*c**5 - 2\/5*c**6. What is the derivative of t(v) wrt v?\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 1.5. Let q be (-18)\/((12\/32)\/((-5)\/140)). Is g greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/39))**(-12\/11) assuming j is positive.\nAnswer: j**(4\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 50 = -0*z. Let v = -8 - z. Solve j = v, 3*j + j = 4*k - 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-6)*(2 + (-78)\/30). Suppose -2*j + 2*z = -z - 302, -5*j - x*z = -755. What is the remainder when j is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/34745 + -81185164\/34745. Let o = 351617\/4 + -90246. Let j = o - t. Find the common denominator of j and 5\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-749)\/17 - ((-150)\/255)\/10.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + p + 284, 5*m + 3*p = 2*m + 264. Let c = 1 - -51. Let o = m - c. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.134619336539 + 0.1.\nAnswer: -0.034619336539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v + 2. Let a be s(-7). Calculate the greatest common factor of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1266965, -1266974, -1266989, -1267010, -1267037, -1267070, -1267109?\nAnswer: -1267154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-4)\/1)\/(38\/(-19)))*30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*q = 690, -o + 2*q + 65 = -115. Let g = 1258 + -1403. Let a = o + g. What is the highest common divisor of 75 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + 0*c - c + 0*c - c + 0*c + (3*c - 3*c - 2*c)*(5 + 1 - 3).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 129*r**2 - r**3 - 15*r + 117*r**2 + 23 + 3*r**3. Let w be u(-10). Which is smaller: -30 or w?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170838 (base 10) to base 4.\nAnswer: 221231112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 11. Let f = h + -30. Let u = 24 - f. Solve -4*x = 4*r - 4, u = x + 4*x + 4*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62944\/62309 or -1?\nAnswer: -62944\/62309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**3 + r**2 + 22*r + 2. Let w(c) = 5*c**3 - c**2 - 22*c - 2. Let b(v) = -3*m(v) - 2*w(v). Find the second derivative of b(h) wrt h.\nAnswer: 30*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*-1 - sqrt(187) - sqrt(187))\/(2*sqrt(176)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 464*y**3 + 40 + 2*y + 0*y**2 - 2*y**2 - 252*y**3 - 187*y**3 as r + v*y + x*y**3 + s*y**2 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 12121212?\nAnswer: -12122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 187189441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77\/5 + -241\/15. Let o = -1051041 - -3410628657\/3245. Let h = o + -2\/295. What is the second biggest value in m, h, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, -6\/11, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89c5 + -8?\nAnswer: -89cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8911903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -72 + -5 + 2. Let n be 3\/(54\/(-4)) - 520\/i. Suppose 3*k - 6 = 0, -n = b - 2*k - 3*k. Solve 25 = -f - 7*y + 2*y, 0 = 3*f - 3*y + b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -23 + 19. Let n be (-3)\/q - 3\/(-2). Suppose 327 = n*g - 1206. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Let o(j) = -4*j**2 - 3*j. Let h(b) = -5*b**2 + 31*b. Let y be h(6). Let c(v) = y*x(v) - 2*o(v). Let t(m) = -m**2 + 8*m. Determine t(c(n)).\nAnswer: -64*n**4 + 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159\/4 + 40. Let s = 7 - 12. Let w be 3\/s - 15\/(-25). Is w at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = u. Suppose u = -102*l + 100*l + 64. Calculate the lowest common multiple of 44 and l.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3559?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - 7*p + 7. Let y be o(1). What is the smallest common multiple of ((-692)\/80 - y\/5)*-12 and 5?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19729232 + -0.048.\nAnswer: 19729231.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 16. Let f be (-6040)\/(-12)*-3*r. What is f rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3531, 4, -5 in ascending order.\nAnswer: -5, -1, 1, 4, 3531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 7, -4, -5, 3452 in increasing order.\nAnswer: -5, -4, 7, 21, 3452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2755844.\nAnswer: 2, 7, 13, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**3\/3 - 11*w**2\/2 + 17*w - 3. Let t be g(-12). Let x(s) = -t + 0*s + 0*s**2 + 5*s**2 - 3*s**2 + 4*s. Give x(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153169, 153103, 153021, 152917, 152785, 152619, 152413, 152161?\nAnswer: 151857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 116 = 461. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1002 + 0.6002. Let d be 4 + (-3 - 1) + 3. Let y be (-261)\/81 - (-9)\/d. What is the nearest to y in -0.5, b, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25334, 48295, 71256, 94217, 117178?\nAnswer: 140139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003234 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(210)\/sqrt(6))\/(sqrt(7) + (2*sqrt(70) + sqrt(70))\/sqrt(10)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 + 6*p + 16*p**3 + 12 - 18*p**3 + 5*p**2. Let m be d(-4). Let t(g) = -3 + m*g - 4*g - 4*g. Let q(b) = -7*b - 5. Determine 3*q(l) - 5*t(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 5. Suppose -5*c = -0*c. Let x be k(c). Suppose -v - 3*w = -x*v + 19, 0 = -5*v + w + 21. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 14*u - 177. Let y be n(0). Let a = 237 + y. What is the lowest common multiple of a and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -646, 6185 in decreasing order.\nAnswer: 6185, 5, -646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 184 = -6*k - w, -4*w = -5*k + 251. Suppose -k = -4*j + 17. Solve 1 = -5*b + j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.6. Let s(f) = 4*f + 62. Let z(v) = -70*v - 1050. Let o(j) = -50*s(j) - 3*z(j). Let w be o(-5). Sort -0.1, w, t, -3.\nAnswer: -3, t, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (0 - (1 + -1 + -1)). Let q = 3 - 2. Let w be ((-3)\/5)\/(1\/(-5)). Solve w = t*s + q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -3*b + w + 2*w, 5*w = 2*b - 66. Let a be (-1)\/7*-19 - (-8)\/b. Let k be (a - 3\/1) + 2. Solve -8 = k*n + f - 1, -4*f = -n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 11444. Let x(f) = -2*f - 16. Give -b(t) - 2*x(t).\nAnswer: 2*t - 11412","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -335.9, 0.1, -15 in decreasing order.\nAnswer: 0.1, -15, -335.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*1.3.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/15 + 7502*r**2\/15 + 3002*r\/3 + 2502\/5 = 0.\nAnswer: -1, 3753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(60)\/sqrt(3))\/(sqrt(32)\/(sqrt(32)\/sqrt(4))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s - w, -w = -1 - 1. Let q be 0\/s + 14 + 0. Calculate the highest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 109. Let s(u) = 120*u + 2361. Let z be s(-20). Calculate g(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 10*a - 13. Let x be s(-9). Let m be (-6)\/(-1)*(-2)\/x. Suppose -17 - 4 = -m*o. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 = -d, -11 = -5*d + 2*x - 3. What is the first derivative of l**d + l**2 - l - 2 + l wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-1 - -290) - 2\/1 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 114\/(-4) + ((-1)\/(-2) - 1). Let w = h + 35. Find the first derivative of 9 + 1 + 2 - w*v - 17*v wrt v.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11340 and 233317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15690 divided by -6.\nAnswer: -2615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3930*y**2 + 3931*y**2 + 3 + 1 - 4.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3375 and 9315?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -63677, 4, 70, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*b + 24385 + 19568 + 9019 = -228*b for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1489792 (b) 5 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 323 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 6*b - 10. Suppose 43 = -5*x - 2. Let c be o(x). Solve -h + 5*a + 35 = 10, 5*h = -2*a + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -39*k**2 + 4*k - 1. Let r be a(1). Is r\/(-48) - 125092\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 39*z**2 + 17*z + 3. Is b(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94778*g**3*n**3 + 7557*g**2*n**2 + 11*g*n**3 wrt g.\nAnswer: -568668*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 2. Let s be q(1). Suppose m - s*l - 193 = 0, 4*m = -2*l + 251 + 549. What are the prime factors of m?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-45.1\nAnswer: 45.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, 23, -20, -107, -250?\n\"Answer: -2*l**3 - 4*l**2 + 15*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.52748l to millilitres.\nAnswer: 22527.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - ((1 - -1) + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -4 (c) 30 (d) -20083\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:21 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1*(5 - (-156)\/(-24)). Let y = -22 + 25. Let z be 2 + (-6)\/(y + -4). Which is the closest to -0.1? (a) m (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.008 - -0.238. Let g = v - -4.67. Is g < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 27 + 105. Let c be (-352)\/3*(-3)\/2. Calculate the highest common divisor of c and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 206 and 304425770?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, q: 1, k: 3}. What is prob of sequence qa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 4. Let a be z(7). Suppose o - 3 = -2*g, -3*o - 6 + a = -2*g. Factor -o*q**2 + 3*q - 5*q - 9*q**3 - 5*q**4 + 0*q**4 - q**5.\nAnswer: -q*(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oopg when four letters picked without replacement from {o: 2, s: 1, p: 7, g: 2}?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63648 by 17.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 54 = -15*j. Let l be (-34)\/(-70) - j\/63. Let f = -0.3 - -0.4. Which is the nearest to -0.1? (a) -4 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*b + 11 = 0, -25 = z + 4*z + 5*b. Let n be (-60)\/30 + 4 + (1 - 1). What are the prime factors of z*22\/(-2) + n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 102, 412, 914, 1596, 2446?\n\"Answer: -2*u**3 + 108*u**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/60 - (-264)\/32?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose k - 5 = z. Let j be (-11)\/15 - 6\/(-18). Which is the biggest value? (a) 0 (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 5250?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1303675*s**2 + 724980*s wrt s?\nAnswer: 2607350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2700 and 6600?\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 11:43 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w. Let k = -36577\/7 + 5224. Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5.5. Which is the nearest to -2\/7? (a) -1 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a. Let w(b) = -295*b**2 + 25*b. Let v(k) = 36*k**2 - 3*k. Let z(c) = -50*v(c) - 6*w(c). What is p(z(l))?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -7 - (-5 + 2) - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208876 is divided by 5645?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -35*o**2 - 5. Let l(x) = x**2 - 1. Give g(f) - 2*l(f).\nAnswer: -37*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003938561 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 396 - 515.9. Let h = l - -120. Is 0.83 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2036 = u - 2050, 4*s - 2*u + 32 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -12. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*l = -254*l - 220. Suppose -p - 2*p = -x - 42, 0 = 2*p - 2*x - 32. Differentiate -33 + 27*o**l - 3 - 26 + p with respect to o.\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(-6)\/(-5)*-10. Calculate the highest common factor of 102 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m - 89*m + 64*m.\nAnswer: -86*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 19*y = -30*y + 360 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c**3 + 1072*c - 1072*c)*(1330*c - 1117*c - 1 + 1) to the form i + b*c**3 + s*c**4 + f*c**2 + o*c and give s.\nAnswer: 1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -14 + 10. Suppose -5*q + 25 = -o*q. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let o(t) = 39*t + 2. What is -5*k(x) - o(x)?\nAnswer: -44*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04186 - -3.04186. What is the nearest to -1\/3 in 0.2, u, 0.07, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165\/2 + 84. Let z = 2 + -1. What is the second biggest value in -5, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 2*l**6\/75 - l**5\/25 - 8*l**4\/15 + 8*l**3\/5 - 35*l. Let t(p) = 0. Calculate p.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2098 - -224488\/107. Sort -0.2, h, 8\/3.\nAnswer: -0.2, h, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5409969 divided by -5409969.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1955862 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*k + 20, 3*k = 4*v - 47. Suppose 0 = -y - v*y + 9. Suppose -3*n + 3 = 0, 2 = 2*u - n - n. Solve -u*i + 3*i + y = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 4*h**5\/5 + 3*h**4 - 16*h**3\/3 - 24*h**2 - 14312. Factor m(j).\nAnswer: 4*j*(j - 2)*(j + 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 3.2. Let k = 0.5 - 0.2. Which is the second smallest value? (a) 1.2 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -12.2.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * 409971.\nAnswer: -11889159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 81 = 0. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -371, -530, -689, -848?\n\"Answer: -159*s - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l - l**2 - 3 - 3*l - 3*l**2 + 3*l**2. Let f be h(-3). What is the third derivative of 19*d**6 + 5*d**3 + 7*d**2 - 5*d**3 + 2*d**f wrt d?\nAnswer: 2520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 191*v - 35. Let c(d) = -13*d**2 + 764*d - 149. Give 17*b(i) - 4*c(i).\nAnswer: i**2 + 191*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m - 81. Give y(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615c (base 14) in base 2?\nAnswer: 10110110110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.36 rounded to 0 dps?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20695353 + -162\nAnswer: -20695515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, o: 6, a: 4}. Give prob of sequence kaaa.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -10*x + 5*i - 2455, -1989 = -4*x + i. Does 30 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -224670, -449350, -674030?\n\"Answer: -224680*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/90 and -97\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 - 101. Let i be -47 + 0 + (-4)\/s. Calculate the common denominator of 9\/44 and (-122)\/88 + (i\/(-6))\/15.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2870 + 2887. Solve 0 = -2*c + 8*v - 3*v + 20, 0 = -5*c - 4*v + w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756235735.\nAnswer: 5, 17, 8896891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhfhhhhhfhfhhf. Give prob of sequence fhf.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = -48. Let g be (q\/14)\/((-2)\/12). Suppose 16*l = 11*l - 25. Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39020 and 13460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/24 - u**3\/3 + 5*u**2\/2 + 4*u. Let m(c) be the first derivative of w(c). Let g be m(2). Which is bigger: g or -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*k - x + 5, -5*x + 45 = 4*k. Let c = k + 13. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - 10 - (-45 + 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - -62 - 208365\/2610?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2270200 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -182444 - -367944. Let b = f + -185499.199995. Let x = 0.8 - b. What is x rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 32, 56, 98, 164?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 5*z**2 - 7*z - 7. Let v be o(7). Let s be (7\/v)\/((-8)\/(-6)). Which is the third biggest value? (a) -1 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*p + 2 = 465*p - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 892771541?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17240\/3619 + 12\/329. What is the common denominator of 1\/42*22*9 and l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from mgmmmmmmmmmmmmgggm?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1442775, -2885554, -4328333?\nAnswer: -5771112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 1290. Let d = -1803\/7 + f. Let p = 0 + 0. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + 2*q + q + 3*q**2 + 0*q. Let k be t(3). Let a = k - -82. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 4511.9.\nAnswer: 4511.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/28 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.255 - -4.355. What is the closest to 0.1 in g, 2\/9, 108?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 3*p - 91 - 2*p + 91.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 927 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017.\nAnswer: 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 126, 288, 514, 804, 1158, 1576?\n\"Answer: 32*l**2 + 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22\/24 + 5\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o + 29. Let f be w(4). Solve 0 = -s + f*s - 5*n, -s - 5*n + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5163717 milliseconds in days?\nAnswer: 0.00000007542096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f - 2*f)*(1 - 2 - 1) - 2338 + 2338 + 8*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -3*k, -k + l + 1 = -1. Suppose 0*g = g + 5, 0 = 3*s - k*g + 3282. Is (s + 2)*(0 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -699816 rounded to the nearest 10000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q + q - 3*q in the form i + y*q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d + d = 0. Is 5\/54 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6645\/2*k**2 - 14718675\/2*k + 10867288375\/2 - 1\/2*k**3.\nAnswer: -(k - 2215)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5620, 3 in descending order.\nAnswer: 5, 3, -5620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 1, f: 1, x: 2, q: 1, t: 1}. What is prob of picking 1 f, 1 x, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 331265*t**4 + 2*t**2*x**2 + t*x**2 + 6*x**2 - 86833*x + 2 with respect to t.\nAnswer: 1325060*t**3 + 4*t*x**2 + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2830, 5628, 8436, 11260, 14106, 16980, 19888, 22836?\nAnswer: 25830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7221645 - -2?\nAnswer: 7221647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2880 at least as big as -12624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91 (base 12) to base 3.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - 20130013?\nAnswer: -20130202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 7?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 2. Let n(x) be the first derivative of -5*x**2\/2 - 5*x - 65. Does 7 divide n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**7\/35 - 5*k**4\/24 + 4*k**2. What is the second derivative of t(n) wrt n?\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -486456, -486442, -486428, -486414, -486400?\nAnswer: -486386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1012022020 (base 5) to base 16\nAnswer: 1f7e8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35427091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -250 - -264. 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 thousands digit of 22952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away 3.4?\nAnswer: -25.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-34)\/6 - (-120)\/(-180).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1980 and 700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**2\/2 + 13*u + 10. Let t be f(-10). Is (-12575)\/(-10) - t\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 272898.\nAnswer: -17\/90966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 9. Let y(p) = 3*p + 17. Let j(k) = -5*w(k) + 3*y(k). What is the remainder when 20 is divided by j(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 270.484 and -0.2.\nAnswer: -54.0968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s - 4. Let u(w) be the first derivative of -w + 2\/3*w**3 + 0*w**s - 2. What is the derivative of u(g) wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 1.948.\nAnswer: 10.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = -3*l + 5*v + 6, 5*v = 5*l + 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -140396655 and -1.125.\nAnswer: -140396656.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.41831mg in nanograms?\nAnswer: 17418310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12061799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282031 - 282028.69942. Let m = g - 2.3. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-4))\/(1\/(-2)))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16368\/582)\/4 - 7. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 113*v. Let l(j) = -7 + 13 + 46*j**2 - 8 - 1 - 44*j**2. Give p(l(g)).\nAnswer: 226*g**2 - 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 33 = -9. Let h(g) = -2*g + 1. Let l be h(-5). Let i = n - l. Calculate the highest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/(13125\/126)*20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 60. Let y be o(-16). Let a be 34\/(-2 + y) - -1. Solve 6 = -2*p, -3*j + p = -p - a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 43136226.778 and -14540.\nAnswer: 43121686.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3*6\/(-27).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 919796 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/14)\/((-2)\/7). Suppose -3*x + l = 2*x. Solve 5 + 1 = x*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 2*1\/(-4). Let r = 14.1 - 14. Which is the nearest to -1? (a) u (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3*(-27)\/(-3). Let i(u) = 2*u**2 - 3*u - 2. Does 3 divide i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, -0.2, 19\/8.\nAnswer: -0.5, -0.2, 19\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21330114443243 + -4?\nAnswer: 21330114443234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 240?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*v - 45*v - 1530. Suppose -3*n - 13 = -43. Calculate the greatest common divisor of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8129792 and -85\/22528.\nAnswer: 65038336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -7 - 3. Suppose 5*h + 0*g - 3*g - 57 = 0, -14 = -h - l*g. What is the units digit of 2\/8 - (-141)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 5) to base 16.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -270*s - 12. Let r(l) = -108*l - 5. What is -5*a(u) + 12*r(u)?\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjljljkjjrl. What is prob of sequence rll?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.1, 1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*y - 5*y**2 - 148*y + 0*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 72736.2 to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 57*v - 60. Let x(c) = 38*c - 40. Let n(a) = 5*o(a) - 7*x(a). What is the tens digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3402 is divided by 3384.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + v**2 + 3*v - 3 - 5 + 52*v**2 + 50*v**2 - 22*v**2 + (-5*v + v + 5*v)*(-5*v + 5*v - v))*(1 + 0 - 3) in the form y + f*v + n*v**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/10165 and 54\/209?\nAnswer: 111815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*g**3 + 5 - 854*g**2 - 5 + 852*g**2.\nAnswer: -53*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 306 - 66. Let k be (2\/5)\/(4\/v). Calculate the remainder when 25 is divided by (14\/k)\/(7\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222210201110 (base 3) to base 16\nAnswer: 1028d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + x - 4. What is the lowest common multiple of d(2) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -492683*g**2*h**3*q**2 + 7*g**2*h**3*q - 3281*g**2*q**2 - 17*g*h**2*q**2 - 6*g*h**2 wrt h.\nAnswer: -2956098*g**2*q**2 + 42*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/10)\/(5\/900*-1). Let w(q) = -2*q**3 + 0 - 4*q**2 + 0. Let t be w(-3). Calculate the highest common divisor of t and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*(-28)\/(-168))\/(-14) + (-1377)\/(-63)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1575 = 1566 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-28))\/(-3) + ((-36)\/350)\/(136\/(-340)).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 504 and 839468?\nAnswer: 15110424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/314565 and 91\/228490.\nAnswer: 45926490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -361 + 365. Sort -10, p, -2.\nAnswer: -10, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460 and 76398180?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2772)\/420*(-60)\/(-528)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1566390*m**4 + 123*m**3*z**3 - 673*m**2*z**2 + 5215*m*z**3 - m*z - 7*z**3 wrt m.\nAnswer: 37593360*m + 738*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3*t - 5)*(-4*t + 3*t + 2*t + (1 - 1 + 2)*(-6*t + 1 - 1) - t + 0*t + 3*t)*(0 - 2 + 0).\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u*u**(-2\/9))*u*u**25\/u assuming u is positive.\nAnswer: u**(236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/(-790)*(-40)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 17*f - 1. Let q be i(-1). Let y = -9 - q. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + (-10)\/(-6))*(2 + 1). Suppose 3*s = -z + 301, 5*z + f*s - 370 - 1200 = 0. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*z - 1196 + 401, -2*y + 343 = 3*z. What is the highest common factor of 20 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, 17302810 in descending order.\nAnswer: 17302810, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584 is divided by 364.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/571824 and -73\/3002076.\nAnswer: 12008304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x. Let y(t) = -35*t - 51. Determine 4*u(c) + y(c).\nAnswer: -11*c - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55781527, 55781528, 55781529?\n\"Answer: y + 55781526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 614.69 decades?\nAnswer: 6146.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - b61?\nAnswer: -b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1153017 * -1\nAnswer: -1153017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 161547 - 67?\nAnswer: 161480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-22) + (-960)\/1320. Which is greater: 6 or g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 37. Suppose 0 = -3*o + o + 2. Calculate the remainder when (-3)\/o - (-55 - -3) is divided by t(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + 3*f**2 + 3*f - 5. Let m = 110 + -112. Let a(g) = -g**3 - g**2 - g + 2. Determine m*j(c) - 5*a(c).\nAnswer: c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.02, -0.118, -12, -2 in increasing order.\nAnswer: -12, -3, -2, -0.118, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5 - 1602486\/(-635). What is the highest common factor of 174 and k?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171307902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(30)\/(sqrt(12)\/sqrt(2)))**2 + (1*(sqrt(5) + 0) + (sqrt(100)\/sqrt(2))\/sqrt(10))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338 - 337.8. What is the closest to k in 0, -1, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/22, -1, 1027?\nAnswer: 1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 118\/3*q**2 - 46\/3*q + 2\/3*q**4 + 46\/3*q**3 - 40 = 0.\nAnswer: -20, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:54 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1118 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 4. Suppose 4*f + 21 = f. What are the prime factors of r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/(z*z\/(z**6*z*z)*z)*(((z**5\/z)\/z)\/z)\/(z*z**(-1\/4)))\/((z*z*z**(2\/13)*z)\/z*z**(-1\/13))**(-26) assuming z is positive.\nAnswer: z**(715\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 + -6106?\nAnswer: -6204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -11*g**3\/3 - 89. Let j(x) be the third derivative of x**5\/30 + 6*x**2. What is j(m(y))?\nAnswer: 242*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -162. Let d be j\/10*39\/((-429)\/(-880)). What is the greatest common factor of d and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*k**4 + 290*k**3 - 17*k**2 - 5*k + 10614851 wrt k?\nAnswer: -32*k**3 + 870*k**2 - 34*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n + 9*n**2 - 6*n - 21*n**2 to the form c*n**2 + f + m*n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)\/((-786)\/(-3537)). Let p = 0.4 - 0.3. What is the second smallest value in p, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -0.23395363?\nAnswer: 0.0116976815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 12:21 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -775798, 3 in decreasing order.\nAnswer: 3, -5, -775798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2006 or 2010?\nAnswer: 2010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (370\/296)\/((-30)\/(-72)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 260?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n - 57 + 0*n**5 - 7\/3*n**3 - 5\/4*n**4 + 0*n**2 - 4\/7*n**7 + 0*n**6. Find the third derivative of o(j) wrt j.\nAnswer: -480*j**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -210.\nAnswer: -210, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 + (-4)\/1*(-2)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -775\/12 + 257\/4. Let y = 0.05 - 0.16. Let m = y + 0.01. Which is the closest to m? (a) 4 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167423935, -167423936, -167423941, -167423950, -167423963, -167423980, -167424001?\nAnswer: -167424026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 8 = 0. Let c(t) = 2*t**2 + 2*t**2 + t**l. Let v be c(-1). Solve -2*s - v = -s, 0 = -3*x - 4*s - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + 3\/((-12)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -3*k**7\/35 - k**5\/10 - 15*k**2\/2 - 31*k. Let a(y) be the first derivative of d(y). Find the third derivative of a(q) wrt q.\nAnswer: -432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 1, b: 1, y: 1, k: 2, x: 2}. Give prob of sequence cj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 3 + 602*m**3 - 3*m + 2*m - 13131*m**3. Let d be h(5). Let l = d - -926083. Round l to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -353*y. Let p(m) = 1701*m + 2. Determine w(p(a)).\nAnswer: -600453*a - 706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 24. Let v = t + -60.5. Suppose 97 - 7 = -10*d. What is the third biggest value in 4\/5, v, 1, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03334 * 0.4.\nAnswer: 0.013336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3685754 (base 10) to base 12.\nAnswer: -1298b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 3*w + 1. Let p be o(-4). Let i be (9\/27)\/((-2)\/(-18)) + p. Is 2\/49 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -696 + 6949\/10. Find the common denominator of r and 95\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 + 13 = 0. Let f = r + -9. Calculate the lowest common multiple of -16*(5 + -9 + 3) and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let w(z) = -4*z**2 + 43*z. Give w(y(u)).\nAnswer: -16*u**2 - 86*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-12))\/((-6)\/(-16)). Let b(c) = 3*c - 7. Let p be b(10). Solve 5*n = x + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3740\/(-2856) + 7\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 + (-4 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**3 + 138*j - 24 + 9*j**3 + 21 + 1.\nAnswer: -18*j**3 + 138*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 4*v + 6 - 40\/3*v**3 - 3*v**2. Factor g(u).\nAnswer: -2*(4*u - 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1376 - 23390\/17. Which is greater: -624 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84623 + 67176. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -10\/3505149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 0 + 1\/3*t**3 + 2*t + 1\/24*t**4 + 1\/2*t**2. Let f(r) be the first derivative of b(r). Differentiate f(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1005 divided by 3\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -331*i**2 - i. Let b(c) = -23*c. What is m(b(o))?\nAnswer: -175099*o**2 + 23*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -s - s + 10, 0 = -4*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2631 is divided by 154.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**3 + 8297 + 2*j - 16602 - 11*j**2 + 8307 + (20 - 7*j - 20)*(2*j**2 - 2*j**2 - 2*j**2) in the form z + b*j + p*j**3 + d*j**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -0.04 (b) -2 (c) -2.5 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 - 189 = 157*f - 275. Solve -u = -4*c, -4*c - 9 = f*u + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 44, 0.1 in decreasing order.\nAnswer: 44, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2096 - 760 = -7*i. Suppose 0 = 3*k - 3*t - 1629, -i = 4*k + 3*t - 2615. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 37 = 4*t, 4*i + t + t = 166. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + w)*(3*w**2 + 4*w**2 - w**2)*(54 + 443 + 14) to c*w**2 + z*w + x + t*w**3 and give t.\nAnswer: 3066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/60 and 16\/10 - (-4)\/(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7271?\nAnswer: 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 4*v**2 + 3*v + 1. Let n be ((-24)\/(-30))\/(6\/45). Calculate w(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 - 38\/(-100)*-5))*1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by 69.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -432, -648, -862, -1074, -1284?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123134941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4133 or 4136?\nAnswer: 4133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 71*f**2 + 328*f + 404. What is m(66)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -472*i**2 + 4724*i - 40.\nAnswer: -4*(i - 10)*(118*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5, -4\/13, -2\/3, 31, 2 in decreasing order.\nAnswer: 31, 5, 2, 1\/3, -4\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2461 is divided by 48.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*q - q. Solve p + 3*p - q = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:58 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 2*a + 1. Let v(z) = -z**2 - 18*z - 20. Let t be v(-17). Let x be s(t). Let q(l) = -l - 6. Let r(w) = 2*w + 13. Determine x*r(g) - 5*q(g).\nAnswer: g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 29. Which is the closest to q? (a) -0.4 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 27 = -2*p + 389, 0 = 2*p + 2*n - 368. Let c be 992\/p + 1\/(-3). Solve 3*y - 4*y + 2*h = c, 2*y - 10 = -h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 52*p + 438. Let b be h(0). What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5272.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 17. Let v be (((3 - 7) + 4)\/3)\/(-1). Suppose b = -5*l + 15, v*b - 16 = 2*l - 4*b. Calculate the least common multiple of s and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 27. Suppose -3*m + 4*s + 27 = 0, 4*m - 36*s = -40*s + 8. Let n(w) = -2*w - 28. What is m*k(l) - 4*n(l)?\nAnswer: -2*l - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9708 = -207*z + 2525 - 9170 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*q + 18 = 163, 158 = -2*r - 5*q. Which is the fourth smallest value? (a) r (b) 10 (c) 4 (d) 4\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, -4 in decreasing order.\nAnswer: 3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2\/59, 1, -8.\nAnswer: -8, -1\/5, 2\/59, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -66664.\nAnswer: -1\/66664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31807547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1251*o - 90707. Determine u(-71).\nAnswer: -1886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(98) + 1 + sqrt(98))*4 - ((sqrt(98) + 0)*1 - 6*1*sqrt(98)))*-6)**2.\nAnswer: 453600*sqrt(2) + 7158600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(85) + sqrt(85) + 1*sqrt(85)))\/(-3*sqrt(320))*-1)**2 + -1.\nAnswer: 137\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b4c + 2?\nAnswer: -7b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 1. Let v(w) = -w. Let k be (5\/(-10))\/((-2)\/12). Determine k*s(o) - v(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3494, 3492, 3490?\n\"Answer: -2*v + 3496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 - p - 10. Let d be x(4). Suppose 5*z - 2*u + 19 = 9, -u + 5 = -d*z. Which is the closest to z? (a) 1\/2 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 34. Let c be p(17). Suppose 3*i = 4*f + c, 0 = 5*i - 5*f - 21 - 4. Solve 3*s = 3*m + i, 5*m - 1 + 4 = 3*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/6 - 3*j**3\/2 - 4*j**2\/3.\nAnswer: -j**2*(j + 1)*(j + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*m + 1334*m + 14326 = 0 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*g**2)*(-5 + 2 - 4 - 3 + 5 - 4 + 0 + 1 - 2 + 1 - 2 + 3 + (2 - 5 + 1)*(1 - 4 + 2)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, l: 1, q: 3, e: 2}. Give prob of sequence qqj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38\/3 (b) 4 (c) -6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5933, -4\/19, -10 in descending order.\nAnswer: -4\/19, -10, -5933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1695876 by -121134.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 - 6 - (1 + -10) - 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2257*n**5 + 6*n**4 + 5*n**3 + 456*n**2 + 18*n + 2?\nAnswer: 135420*n**2 + 144*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3 + u**3 + 0*u + 4*u - 6*u. Let x be v(3). Suppose 0 = -5*l + x + 7. Put -4, l, 3 in descending order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -1 + -29 + -42 + 3?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1 + (-2 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y + 3. Let u be t(3). Calculate the remainder when (-11)\/(110\/12)*-15 is divided by (-3)\/(-2)*u\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6824, -6742, -6618, -6464, -6292?\nAnswer: -6114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 8*(-11)\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 4 = -6*q - s, q - 4*s = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + ((-5025)\/(-10) - (-5)\/(-10)). Let v = s + -496. Which is the biggest value? (a) v (b) 2\/17 (c) -1\/9 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 15*l + 4*f + 8 = 0, 3*l + 3*f - 21 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -2 + 2 - 1 + 2 - 2*w**2. Let j(n) = -85*n - 84*n + 169*n + 2*n**2. Give j(x(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*m**2 - 4 - m**3 + 43*m**2 - 22*m**2 in the form b*m**2 + o*m**3 + v*m + d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -880*y + 2239. What is the hundreds digit of r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, l: 9}. What is prob of sequence ls?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7566 - 7463. Calculate the remainder when q is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675100 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -61*a + 916. Let c be h(15). Let q = 5 + -2. What is the closest to c in q, -0.25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243571610*d*u**2 + d*u - 1814643*u + 9 wrt u.\nAnswer: -487143220*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/14 and -103\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2117*h**3 + 6424*h**2 - 2*h + 5986041.\nAnswer: -12702*h + 12848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -66. Let n = j + 21. Let m be -1 - -7 - (-1 - 4 - n). What is the highest common factor of m and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1274?\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477919909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -1\/5 (c) -14\/3 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 + -215. Solve x = 2*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10568c + 116?\nAnswer: -105576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 13\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 39 + (4 + -1 - 14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -112. Let x(y) = y + 23. Let w be x(4). Suppose -36*m + 216 = -w*m. What is the remainder when p is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 8 - ((-4 - 1) + (-34 - -29))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117137 or 108?\nAnswer: 117137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + s + 12. Let a be f(-6). Let c be (16\/10)\/(4 - 596\/a). What is the hundreds digit of (-3)\/(-30) + 7734\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (120\/(-28))\/((-2)\/14). Suppose -2*x - j = -7*x. What is the remainder when 22 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let i(d) = -d**3 + 6*d**2 - d - 14. Let h(r) = i(r) - 6*u(r). Let t be h(0). Let o = t + 23. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or 7?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 - -11. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*u + 2, -7 = 4*b - 7*b - u. Let t be (-2)\/6 + (-6364)\/(-12). Factor 4 - 266*s**2 - 262*s**b - 6*s + t*s**2.\nAnswer: 2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p = -25*p + t + 8, -6*t + 21 = -11*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 9)*(-421*p**2 - 8 + 2388*p**2 - 21 + 29).\nAnswer: 13769*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 18*y + 73. Let v be f(-4). Let k(b) = -b**3 - 16*b**2 - 17*b - 25. Let n be k(v). What is the biggest value in -0.2, 1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7425, 39255, 92303, 166569, 262053?\n\"Answer: 10609*x**2 + 3*x - 3187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from dccmccmcdcccc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -79\/4. Let t = -3.08 - -0.08. Which is the third biggest value? (a) w (b) t (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1050, -4, -2, 505 in descending order.\nAnswer: 1050, 505, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*p - 5 = 0, -5*p - 45 = k - 10*p. Suppose -u - 5*r - 9 = 0, 0 = 2*u - 0*u - r + 18. List the prime factors of u\/(-12) + (-765)\/k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2027.41 or 2\/3?\nAnswer: -2027.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1332 and 7602.\nAnswer: 1687644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*p**3 - p + 49*p**3 - 3*p wrt p.\nAnswer: -84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 105 - 27 = 0. What is the greatest common divisor of r and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + z + 70. Let u = -7 - -11. Suppose -4*i = u*v + 16, 2*i + v = -3*i - 4. Let w be y(i). What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 86691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -455, -514, -671, -974, -1471, -2210?\n\"Answer: -8*o**3 - o**2 - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24014 - 35059 = -87*a. What is the remainder when a is divided by 94?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 + 6.4. Let u = 2.0205 - 0.0205. Let y = -0.06 + 0.03. Which is the second smallest value? (a) y (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 6. Let y = -4 + 0. Which is the closest to 0.1? (a) -5 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(-1870)\/220?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 12273349515?\nAnswer: 12273349515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2)*p*p\/p**5*p*p\/(p\/p**(-14))*p*p\/(((((p\/(p\/(p*p*p**(1\/7))*p*p))\/p)\/p)\/p)\/p))**(1\/4) assuming p is positive.\nAnswer: p**(-135\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c = 88. Let h(v) = -v**2 + 5*v - 8. Let q be h(5). Let d = 10 + q. Calculate the greatest common factor of c and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00355310087 rounded to five decimal places?\nAnswer: 0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1249*a + 1802. What is the units digit of v(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456 - 220. Suppose -5*l + 2*z = -v, -2*l - 2*z = -3*z - 95. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 329*s + 336*s + 331*s - 996*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757 is divided by 400.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4 + (-4)\/8. Let t = 1 - a. Sort -3, t, -1 in decreasing order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40, 438, 842, 1252, 1668, 2090, 2518?\n\"Answer: 3*j**2 + 389*j - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 32016.79 to the nearest one hundred.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*8*2\/(-6). Suppose -4*p - 4*i = v, -5*i + 8 = -2*p - 7. Let j = 0.1 + -0.3. What is the nearest to 0.1 in -0.3, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38811 is divided by 19392.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15587 >= 0.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let k(o) be the second derivative of -5*o**4\/4 + 2*o. Calculate s(k(c)).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 75 = -5*c, 2*v + 5*c = v - 5. Let s be (1\/(-2))\/((-5)\/v). Suppose -t = -5*d - 15, 5*t + 3 = 5*d + 98. Solve s*z - 8 = -5*b - t, 5*z = b - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83645850 divided by -5\nAnswer: -16729170","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 3*s**2 + 0*s**2)*(3*s**3 - 2*s**3 + 0*s**3) + (3 + 2 - 3)*(2*s**5 + 5*s**5 - 6*s**5).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 170383697 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 201815663?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-1)\/2*17. Suppose 0*h = m - 4*h + d, -70 = 3*m - 4*h. What is the units digit of (2\/4)\/((-1)\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430452 is divided by 379.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7709424 and 42128.\nAnswer: 7709424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3461224 + -4?\nAnswer: -3461231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1232*i - 240. What is the hundreds digit of w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -329 - -329. Is b - (-2 + -2) - (-7289 + -34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-14) + 1416\/14 is divided by (8 - 32\/3)*39\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = w - 85 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 13 - (-13 + 4)) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvnxxnxxvvvvnnx. Give prob of sequence nv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49 and -0.177?\nAnswer: 48.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/18 and 2\/(-4)*((-174)\/(-27) - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 1, 3.\nAnswer: 5\/6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49393 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1154865*l**3*z**3 - 52*l**3*z**2 + 27797*l**2*z + 119*l*z**3 - 31*z**2 wrt l?\nAnswer: 6929190*z**3 - 312*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4*x + 200, 2*y = -3*y + 2*x + 238. Is 4 a factor of (-4)\/6 + y\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:12 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.09, 2.1, -0.1, -2\/29?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 6:03 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.700108 - -2.8\nAnswer: 4.500108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -22 + 6 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110011100 - -10011000?\nAnswer: -101100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 17*f**2 - 164*f - 13. Give z(7).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 - 116*q**3 + 1932*q**2 - 1564*q - 3608 = 0. What is q?\nAnswer: -41, -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + (55 - 49).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**7\/63 - k**5\/10 + k**4\/9 - 11*k. Factor p(x).\nAnswer: 2*x**2*(x - 1)**2*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32724*j + 100 = 3*u - 32719*j, 3*u - 2*j = -19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(2*r**2 + r**2 - r**2) - 2*r**2 + 3*r**2 - 4*r**2 - 10*r**2 + 5*r**2 + 6*r**2)*(-r**2 - 1 + 1).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 - 3*r**2 - 2*r. Suppose 30 = -7*h + 17*h. Let d(c) = -3*c + 28*c**2 - 5*c**h - 2*c**3 - 59*c**2 + 27*c**2. What is -4*d(s) + 5*g(s)?\nAnswer: -2*s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17507?\nAnswer: 7, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908148347.\nAnswer: 13, 31, 1319, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 128*h**3 - 9*h**2 + 109. Let n(a) = a**3 + 3*a**2 + 1. Let m(u) = 2*l(u) + 6*n(u). Differentiate m(r) with respect to r.\nAnswer: 786*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94924585.\nAnswer: 5, 7, 2712131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 6*((sqrt(72) - sqrt(2))**2 + 1).\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276321.121 + -276075. Let o = -246 + x. What is o rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/3*12*(5 + -6). Let c be (-1)\/8 - (6 - (-2742)\/w). Solve -49*i = -c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 18*n - 62. Let b be t(10). Sort b, 0, 0.4 in decreasing order.\nAnswer: b, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 8390300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 0.35059079.\nAnswer: 0.65059079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c - 4 + 21*c + 1 + 46*c.\nAnswer: 47*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 - 208892*i + 44254296 = 0.\nAnswer: -52434, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.2, -4\/3, -55, -1 in descending order.\nAnswer: 0.5, 0.2, -1, -4\/3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 31*s**2 + 215*s - 13. What is h(-6)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 89*c. Let q(i) be the second derivative of -i**5\/60 + 27*i**2 - 56*i. Let w(p) be the first derivative of q(p). Calculate w(u(m)).\nAnswer: -7921*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -164, -348, -558, -794, -1056, -1344?\n\"Answer: -13*k**2 - 145*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19777?\nAnswer: 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -239, 96, -5, 2, 1179 in descending order.\nAnswer: 1179, 96, 3, 2, -5, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1120 + 1668. Suppose -2*g = -5*j + n, 6*g + 1 = 7*g. Calculate the highest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -54. What is the remainder when 20 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -45*v**2 + 2002194 - 2002194. Let g(n) = -42*n. What is g(x(w))?\nAnswer: 1890*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3040 = 2*j + 3*j - 2*s, -4*j + 5*s = -2432. Calculate the greatest common factor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 176, 260, 346, 434, 524, 616?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 - 1330015204?\nAnswer: -1330015314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-14) + -3)*378\/(-108). Put -3, 6, b, 1 in decreasing order.\nAnswer: b, 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 - 3*l**2 - 8*l + 3. Let v(u) = 24*u**3 + 16*u**2 + 40*u - 16. Let s(o) = -3*v(o) - 16*y(o). What is the second derivative of s(h) wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 4:24 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, -10, -6 in ascending order.\nAnswer: -10, -6, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -732\nAnswer: -1\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 28. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -6\/13, 1\/2, -1.7, 14, -5.\nAnswer: -5, -1.7, -6\/13, 1\/2, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -652679679\/35932600 - 180\/179663. Let x = -151\/25 - z. What is the common denominator of 27\/(-15) - (-3)\/(-6) and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.97 - 11.87. Which is the smallest value? (a) -4 (b) 42\/5 (c) 2\/9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*d + 121 - 121)*(29*d + 7*d**2 - 29*d)*(-3 - 2*d + 3).\nAnswer: 294*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10024843334188 - -5459449481050511525\/544592. Let f = -2\/34037 - u. What is the common denominator of f and (-22)\/55*((-1334)\/24 - -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7625 - 7631) + (48 + -1 - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 19734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 10 (b) 1 (c) 2.9 (d) 4 (e) -1022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 15*j**2 + 23*j + 5. Calculate i(-13).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**6\/180 + 2*p**5\/45 + p**4\/36 - 4*p**3\/9 + 10*p**2. Factor s(a).\nAnswer: -2*(a - 4)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/13)\/b*b*b*b*b)\/b*b\/(b\/b**(4\/5))*(b\/(b\/(b**3\/b)))**(-1\/88))**45 assuming b is positive.\nAnswer: b**(101187\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25366, -50731, -76094, -101455?\nAnswer: -126814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + j - 10, 100 = 3*j + 85 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u - 3. Determine f(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 5, -2\/11, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 15*a**2 - 14*a - 1. Let o be u(-14). Let w = -90 + 130. Let f be (-36)\/w + 2\/5. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 60*x - 675 = 5*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 43*n + 29*n + 55*n + 29*n.\nAnswer: -n**2 + 70*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -4 (c) 6\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 45349 - 45349.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*a + 2695 = -2325 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2465168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - m**2 - 5*m + 36. Calculate the remainder when 358 is divided by q(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/(-44) - -88*(-31)\/341.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z - 10*z + 2*z)*(5 + 0 - 4 + z**4).\nAnswer: -32*z**5 - 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*y + 4*y - h, 3*y + 5*h = 215. Let c = y + -16. What is the highest common factor of c and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 81*m - 2. Let i be a(-1). Let l = -33 - i. Calculate the remainder when l is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 1, 3*l + 2*c = 35. Calculate the smallest common multiple of 0\/2 + (-1)\/(-1) and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 132 = 5*u. Find the second derivative of -u*w + w**5 + 4*w**5 + 4*w + 3*w wrt w.\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(288)\/(sqrt(1089)*3 + sqrt(1089) - sqrt(9)) - (1*4*sqrt(96))\/sqrt(3))**2.\nAnswer: 935712\/1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -6\/11, 96, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*1*5 - sqrt(495))\/(-2*(1*sqrt(539) + sqrt(539) - sqrt(539))).\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4022 (base 6) to base 2.\nAnswer: -1101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k. Let t(x) = -8*x. Let u = -2 - -7. Let c(d) = u*z(d) + 6*t(d). Let o(q) = -2*q - 11 + 11. Calculate c(o(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 6*w + 6, 0 = -2*w - 4*o + 774 - 378 - 382 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2\/7 - 36\/7 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hln when three letters picked without replacement from {l: 5, m: 5, h: 1, n: 5}.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -2, 4*j + 25 = m. Let b be (4\/6)\/(j\/(-45)). Suppose -4*u - 5*d = 33, -19 = -u - 2*u + b*d. What is the second biggest value in 2\/5, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (173 - 158) - (0 + 1 + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -119911.\nAnswer: 57\/119911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20200 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 6, s: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 - 6*h + 6. Let n be d(5). Is (8\/24)\/(n\/39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:03 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 505?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdvvvvvvvdvvvvvvdvv. What is prob of picking 2 v?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*g + 3*g - 528, 3*x = -2*g + 391. Let r = -126 + x. What is the first derivative of 13 + r - 20*o + 12 wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/7 - -213\/35. Solve -1\/5 + a*m**2 - 3\/5*m = 0 for m.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3606 - 39684\/11. What is the nearest to 1.4 in z, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l - 4*l - 20*l - 9*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 6*t**3 - 7*t**3 + t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-12)\/(-36)*12. Solve v*d + 28 = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32568 and 690?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.395 + 4.395. What is the closest to 0 in w, 0, -1.916?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475 is divided by 93?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 3*i + 2. Suppose h + 3*q + 54 = 197, -q - 419 = -3*h. Let o = h + -144. Let n(z) = -3 + 0*z**2 - 4*z - z**2 - z**2. Give o*m(c) - 3*n(c).\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 28. Suppose 5*j - 10*j + 4 = 4*h, 2*j + 4*h = y. Solve j = 5*x - x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 2*m + 1. Suppose 92*a = 96*a - 96. Calculate the lowest common multiple of i(-2) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -312*n**3 + 2 + 226*n**3 + 85*n**3 - 4*n**2. Let l(y) be the second derivative of -1\/2*y**2 + 0*y**3 + 0 + 2*y + 1\/12*y**4. Give -4*l(s) - m(s).\nAnswer: s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the third biggest value in -0.1, 3\/2, -4\/7, -17, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 8.1. Let h = j - 2.1. Let k = 1 - 6. Which is the second biggest value? (a) k (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -17. Let h(u) = -u**2 - u + 17. Let y be h(0). Let w = 5 + y. Calculate the remainder when w is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2*3\/2. Suppose 5*u - z - 107 = 0, m*u - 4*z - 32 = u. Calculate the lowest common multiple of 27\/2 - 2\/(-4) and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 577 - 579. Let u be (l\/4)\/((-10)\/260). Calculate the highest common factor of 143 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/4, 272 in ascending order.\nAnswer: 1\/4, 6, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 3*b**2 - 2*b + 8. Let y be d(-4). Suppose 4*m + 119 - 13 = u, -4*u - m + 509 = y. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-21) - (-37)\/7. Suppose -c = -t - 3*c + 4, -q*t + 2*c = 4. Suppose t = -2*i + 12 + 16. What is the greatest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3381 and -73\/166796.\nAnswer: 500388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -1\/24*l**4 + 0 + l**2 - 27*l - 3*l**3 + 0*l**5 + 11\/40*l**6. Find the second derivative of j(q) wrt q.\nAnswer: 198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from ajarjvukr.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3\/5))\/(k\/(k**(-3\/5)\/k)))\/(k**(3\/2)\/(k**(2\/17)*k*k*k*k))*((k\/(k*k\/(k*k**(1\/3))))\/k)**(2\/15)*k**(2\/9)*k\/(k**(2\/13)\/k) assuming k is positive.\nAnswer: k**(15893\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171588, 686388, 1544398, 2745624, 4290072?\nAnswer: 6177748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1018 * 2\nAnswer: -2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -18*u. Let w = 187\/1014 + -3\/169. Let c(t) be the second derivative of 0*t**3 + 0*t**2 + 0 - w*t**4 - 2*t. What is p(c(m))?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**3 + 771*n + 1064 wrt n.\nAnswer: -3*n**2 + 771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - -1*-2*sqrt(132)) + -6*sqrt(132)*1)*2)\/(-1*sqrt(1452)*5*4).\nAnswer: 7*sqrt(11)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 129. Let w = z - 44. Let l = 0.136 - 5.136. Which is the second biggest value? (a) w (b) -1 (c) 0 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let i(c) = c. Let t(f) = 5*a(f) - 6*i(f). Let p(m) = -5*m + 5. Calculate p(t(w)).\nAnswer: 5*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8387.\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1786.216 + 1782. Round k to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 14*b + 3*b. What is the highest common divisor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 104 = -17*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33667999 is divided by 886.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1349756, 1349751, 1349746, 1349741, 1349736, 1349731?\nAnswer: 1349726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11409 - -11434. Solve -c = 1211*s - 1206*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from lacahapqhq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/48)\/((-2)\/11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 4*n + 48. Let h = -41 - n. Let j = -359 + 374. Calculate the remainder when j is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/20)\/((-6)\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4 + 10*j**3 - 144*j**2 + 486*j - 513 = 0?\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:57 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*a. Let j(r) = r**3 + 8*r**2 - 9*r + 2. Let n be j(-9). Solve 0*t + 4 = a*z - 2*t, n = -4*z + 2*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 7:20 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 631888 (base 9) to base 16\nAnswer: 5ba8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*a = -7*a - 4*a - 2585. What is the greatest common divisor of 6105 and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/10*(-1560)\/312?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 88*m = 5*n + 45*m + 31 + 54, -3*n + m + 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.7 - -4.7. Let g = -113 - -87. Let d = f - g. What is the nearest to 0 in -3\/5, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.1 (b) -4 (c) 1.5 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-154)\/2)\/(320\/(-180160)) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i - 28. Let p(j) = j**2 - 9*j + 2. What is p(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(204) - sqrt(204))*-4 - (sqrt(204) + -4*(sqrt(204) + (sqrt(204)*2 - sqrt(204) - sqrt(204)) - sqrt(204))))\/(sqrt(108)*-4*-4) + -1.\nAnswer: -1 + 7*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.1 + 2.1. Let v = k + 11. Suppose q + 10*q = -2*q + 65. Sort v, -1\/17, q in increasing order.\nAnswer: v, -1\/17, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1525932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1206\/804*(-28)\/3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/21555 and 71\/40?\nAnswer: 172440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.2043ug in milligrams?\nAnswer: 0.5962043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.662766.\nAnswer: -2.651064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = -5. Suppose -m = g*m. Let k = 31 + -19. Solve m = -4*r + 16, -c + 5*r = 11 + k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 7. Let p be b(8). Let m(n) = 12*n**3 + 1. Is m(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*a - 1846*a + 927*a + 1.\nAnswer: -21*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 3:44 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44727 divided by -2631.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - s**4 - 12 - 9*s**3 + 355*s**2 - 201*s**2 + 3*s**4 - 152*s**2 as g + b*s + d*s**3 + k*s**4 + o*s**2 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 11022?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.1, -1\/13, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6815*a = 6802*a - 26. Let k(r) = -r**3 - 6*r**2 - 8*r + 1. What is k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5 - (-1 + 1 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5\/3*j + 14\/3 - 1\/3*j**2 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 2*r**5\/15 - 7*r**4\/8 - 5*r**2. What is the second derivative of i(t) wrt t?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:11 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, -1, 2, 0 in increasing order.\nAnswer: -3, -1, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**14*a\/((a**(-2\/51)*a)\/a) assuming a is positive.\nAnswer: a**(767\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28032131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 2:59 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29472320?\nAnswer: 2, 5, 31, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23*s**3 + 3*s**2 - 3*s - 3. Let i(m) = m**2 - m - 1. Let l = 6787 - 6790. Determine l*i(a) + k(a).\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 6*v**2 + 8*v + 8. Let m be d(-7). Let r be m + -3 + (-3)\/1. Let j = 7 + r. Calculate the lowest common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18200, 73476, 165826, 295250?\n\"Answer: 18537*n**2 - 335*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*m + 7121849 + 493483 = 7*m. What are the prime factors of m?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (2 - (-1 + 5))) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/j*j\/j**4)\/(j*j*j*j**1\/j)**(-1\/13)*((j*j\/j**11)\/j**(-8))**(-23) assuming j is positive.\nAnswer: j**(315\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from ecyfcccccoecoycec.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 19. Let q be y(12). Suppose -10*j - q*j + 150 = 0. Calculate the smallest common multiple of j and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*j = -20, -617*n + 615*n + 2*j + 8 = 0. Sort -5, -39, 5, n, -6.\nAnswer: -39, -6, -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1018 (base 10) to base 13.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 395*u + 222*u - 592*u.\nAnswer: -765*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 3, 4\/3, 1\/4, -23, 0.045, 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = -4. What is the remainder when 96 is divided by (1 + 132\/(-20))*5\/p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/87, -2\/7, -1\/5, -4\/5, 11, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 863, -1, 59 in decreasing order.\nAnswer: 863, 59, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 209334*k - 1. Let b(i) = -3*i**2. Determine y(b(p)).\nAnswer: -628002*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 450*l**2 + 15935*l + 16380.\nAnswer: -5*(l - 28)*(l + 1)*(l + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 34. Suppose b = -3*v + 4*q - 7*q - 117, -5*q - 15 = 0. Calculate the remainder when ((-261)\/v)\/((-1)\/(-4)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -140? (a) -1\/7 (b) 5 (c) 20 (d) -12 (e) -8 (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 4*z + 30. What is b(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -17019?\nAnswer: -17019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, u: 3}. What is prob of picking 3 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*m + 377 = 26*m - 1668 - 671 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/1155)\/(24\/(-176))*(3 + (-1089)\/(-12))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63035913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/((-170)\/(-425) + (-14)\/10). Put 0, -1, -5, d in decreasing order.\nAnswer: 0, -1, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15481 divided by 15481.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5.917, 30?\nAnswer: 5.917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 12*z + 3. Let n be f(0). Suppose -3*j + 5*j = 104. Suppose n*t + 858 = 5*l + j, -l + t + 160 = 0. List the prime factors of l.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -714, -1541, -2678, -4119, -5858, -7889, -10206?\nAnswer: -12803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004834723 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 9384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.94 - 2. Let u = -393.06 - -397. Let l = u - r. Which is the second smallest value? (a) -5 (b) l (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 0)*(5*g - g + 4*g) - 2*g - 3*g - 1 + 0*g as d*g + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Let p(q) = 7*q**2 - 4*q - 3*q**2 + 1 - 3*q**2 + 5*q. Is p(m) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 + 3*c**4 - 39 + (4*c - 2*c - 4*c)*(0*c**3 - c**3 - 2*c**3) to the form o*c**2 + v + f*c + l*c**4 + g*c**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4241 + 5?\nAnswer: 4246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10202134 - 20?\nAnswer: 10202114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 4*u**2 - 4*u. Let y be l(-3). List the prime factors of (-6)\/y - 820\/(-28).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 2251. Let f(o) = -2*o**2. Determine z(f(u)).\nAnswer: 6*u**2 - 2251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 209085257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-1 - -26) - (-456)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8725 - 3477 = -263*k + 948 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*2*sqrt(2448) + sqrt(2448) + 1 + sqrt(2448) + sqrt(2448) + 5 - (3 + -1*sqrt(2448) + -1*sqrt(2448)*3)))**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v**2 - 71*v + 72. Let c(x) = 61*x**2 - 355*x + 360. Let r(w) = 33*a(w) - 6*c(w). Factor r(k).\nAnswer: -3*(k - 1)*(k + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**13\/f)\/f)\/f**(-6\/5) assuming f is positive.\nAnswer: f**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2008554 months?\nAnswer: 0.001673795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-11 - -12)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -107*t + 42. Let l be c(14). Let x = l + 756. Find the common denominator of -10\/9 and -3 + (-5)\/(x\/695).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 11*v - 4. Let l be z(11). Let y be (6\/l)\/(-3)*-2. Suppose 4*a - 1 = -3*n + 5, 0 = -4*a. Put -3, y, n in ascending order.\nAnswer: -3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -8522\/3*k**2 - 105*k**3 - 1596*k + 49\/3*k**4 - 680\/3 = 0.\nAnswer: -10, -2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95610089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3391, 7200, 11009, 14818, 18627?\nAnswer: 22436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/45 + 3)\/2*84\/((-3192)\/38).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 + 5?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14588215951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*m = -355*m + 340 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrc when three letters picked without replacement from {g: 1, c: 2, w: 3, r: 1, j: 1, n: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*m - 0*z + 1101, 0 = m + 4*z - 382. Let q be (7\/(-2))\/((-5)\/m). Let o = -185 + q. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 12.8. Let z = k - 5.79999954. What is z rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d = -113 + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 + 2*i + 4. What is o(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(1*(-10)\/5))\/((1734\/4114)\/(-17)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 33\/73 (b) 28 (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17806916 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-7\/4)*(d*d**42)\/d)**(-30))**(-17) assuming d is positive.\nAnswer: d**(45645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*h + c, 21*h = 23*h - 3*c + 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105.9675912 + -6.9678852. Let o = 99 - q. Round o to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwieowq. What is prob of picking 1 e and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-8) - (-2)\/8. Let r(o) = -2*o**2 - 1 + 0 - v*o + o**2. Let w be r(-3). Is w greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-2)\/(-6) - -3. Let r(i) = i - 7 + i**2 + 3*i + 4*i + p. Suppose 2*n + 3*v + 13 = 0, 30 = 22*n - 26*n - 2*v. Determine r(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjff when four letters picked without replacement from fttjftjjjjjjfjjjjjj.\nAnswer: 13\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-1\/2))*j*j)**(-33)*(j**2\/j)\/j**(-1\/10)*(j*j**(-9)*j**(1\/2))**43 assuming j is positive.\nAnswer: j**(-4369\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 6*c + c**2 + 6*c. Let k be (-5)\/(-10) - 3\/(-2). Let y = k - 7. Give p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 49*r**2 - 109*r - 95. Let x be b(-46). Let w = -2254 + -94. Let n = x - w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 276851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -6*s + 2*s + 18, 3*r = 3*s. Suppose 2*q - 5*k = -30, -2*q + r*k = k + 14. Let c = 31 + q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 5*s - 19. Let v be q(-8). Suppose 2*f - 4*n + 676 = 0, -1363 - 294 = v*f + n. Let i = 565 + f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 2757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiirirbiirbrbrb. Give prob of picking 2 i and 1 b.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 1159, 10\/11?\nAnswer: 1159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5163504 divided by -12.\nAnswer: -430292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (2 - 1))*(-18 - -21). Let v = q - -19. Let b = 105 - v. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 7*t - 7. Let d(l) be the first derivative of 4*l**3\/3 + 3*l**2 - 6*l - 241. Calculate -7*d(h) + 6*n(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*v + 4*v = 0, 4*n - v - 13 = 0. Suppose -n*l = 3*m - 16, -4*m = 2*l + l - 19. Is -2\/9 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*18.5\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035973 is divided by 84332.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -3125*y**6\/6 - 1781*y**3\/3 - 4*y + 11403. What is the third derivative of j(b) wrt b?\nAnswer: -187500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -104\/84975 and -191\/21780.\nAnswer: 11216700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**2*r**4 + 226180*j**2*r**2 + 104465*j*r**4 + 4*r**2 wrt r?\nAnswer: 24*j**2*r + 2507160*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)*(-9)\/(-18). Suppose -2*y = -2*x - 8, t = 28*x - 24*x - 3*y + 11. Is x >= 5\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 214834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-2 - -2)\/3. Let x be n + (5 - 3) + 1. Let d = 4 - x. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 13*o**2 + 7*o - 10. Let j be l(4). Let f = -85 - -1613\/19. Let w = -251 + 255. Put f, -3, j, w in increasing order.\nAnswer: -3, f, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 4*p + 11 = -5*u, -4*p = -u - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3)**(5\/6)\/((p*p*p**(-2\/39))\/(p\/p**(-11))))**19 assuming p is positive.\nAnswer: p**(3306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 16 = -16*k. Find the third derivative of 67*q**k + 10*q**2 + 28*q**5 - 67*q**4 wrt q.\nAnswer: 1680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -104452, -104956, -105462, -105970, -106480?\n\"Answer: -d**2 - 501*d - 103950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10449 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374, -1471, -3282, -5801, -9022, -12939, -17546, -22837?\nAnswer: -28806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. Which is the closest to 0? (a) y (b) 1\/8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6549, 13491, 20419, 27327, 34209, 41059, 47871, 54639?\n\"Answer: -s**3 - s**2 + 6952*s - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 2*t - 5. Let g(h) = 2*h**2 - 4*h + 9. Let x(o) = -6*g(o) - 11*n(o). Suppose 0 = 12*y + 27 - 3. What is x(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11*p + 36 = -67, -12*y - 3*p - 50 + 76 = 112 + 73 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:01 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0348458 to 4 dps.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 3*y + 3. Let v = 5 + -5. Suppose 3*x + 3*m + 10 = -14, v = -2*x - 3*m - 21. What is q(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -214735403, -214735404, -214735405, -214735406, -214735407?\n\"Answer: -r - 214735402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 110, 2, 21, -4, 0 in ascending order.\nAnswer: -4, -3, 0, 1, 2, 21, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/12*(-9)\/(-40). Let g = 42 - 46. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:20 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 1. List the prime factors of 4\/1*t*136\/(-24).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2560 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from bmhb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -2. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzznnynnzznnzzn. Give prob of picking 3 n and 1 y.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 625272407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b*b**(1\/16)*b*(b**(-22))**8)**43 assuming b is positive.\nAnswer: b**(-114165\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542*p - 3 + 11 - 7 + 549*p + 0.\nAnswer: 7*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 1, c: 3, u: 2}. What is prob of sequence uc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007301489 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - d + 0*d + 5 = 0, 10 = 4*r + 2*d. Suppose 4*u - 4*k = 24, r*k + 64 = 4*u + 4*k. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from mmwwmmmm.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35*168\/(-215600))\/(((-3)\/(-6))\/(10\/4))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344565 and 179075?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-10))\/(6\/30). Is 16\/225 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81406078 to the nearest integer?\nAnswer: 9023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2648*p + 39732 = -8002 + 975 - 67105 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*v**2 + 106*v**4 - v**3 + 90*v**2)*(3227 - 137*v - 3227).\nAnswer: -14522*v**5 + 137*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(288)*2)\/sqrt(9) - sqrt(4)\/(-5*sqrt(2)*-1 + sqrt(2)))**2.\nAnswer: 2119\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*g*x**2 - 3*g*x - 5566*g + 6*x**2 + 4*x - 4 wrt x.\nAnswer: 108*g*x - 3*g + 12*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**3 - 2*d**2 + d - 1. Calculate the remainder when i(-2) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 68008112.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*o - 175, 289 = 5*j - 4*o + 6*o. What are the prime factors of (-6)\/j + (-4)\/((-380)\/9795)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1007.6 * -4544\nAnswer: -4578534.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 500*q**2. Let u(v) = 2*v. Give u(o(k)).\nAnswer: 1000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3379319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 330*c**2 - 661*c - 1460. Give a(-163).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7\/2, 2\/11, -8, -0.9.\nAnswer: -8, -4, -7\/2, -0.9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (258\/645)\/((25\/5)\/(-650)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 629?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5465 and 746759460?\nAnswer: 5465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9522.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12173 and -52.\nAnswer: 632996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(21)\/sqrt(3))**2*-3 + 5) + ((sqrt(21)*-1)\/sqrt(3)*2 - ((sqrt(49) + sqrt(441))\/sqrt(7) + 5)).\nAnswer: -6*sqrt(7) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -1 - 41. Suppose 12*n = h*n - 14. Calculate the least common multiple of n and ((-30)\/(-4))\/(3\/4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 212 = 5*p + 190, 3*o - 4 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/(-34))\/((-2)\/240). What is the units digit of ((624\/d)\/(-13))\/((-2)\/(-1585))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1416433, 2832873, 4249313?\n\"Answer: 1416440*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 575861403 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 17*v - 20. Suppose -5*u + 5*f + 120 = 0, -4 = -3*f + 4*f. Calculate the remainder when 317 is divided by y(u).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1292)\/171)\/(46\/207)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = d - a + 97, -4*d - d - 170*a - 1180 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 67135.2nm?\nAnswer: 0.00671352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - j + 5*j)*(0*j - j + 4*j)*(-2*j**3 - j + j).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014232 (base 6) to base 14.\nAnswer: -26b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, w: 1, d: 2, x: 4, o: 7}. Give prob of sequence ow.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 + 2*v**2 + 10*v + 6. Calculate the least common multiple of d(-4) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45229955 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:04 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3 and (0 - 0) + (-5 - 1626\/(-234)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19699*y**3*z**3 - 2*y**3*z**2 + 10*y**2*z + 2*y*z**3 + 6*z**3 - 543*z wrt z?\nAnswer: 118194*y**3 + 12*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(b + 2 - 2) - 10522*b - 180*b**2 - 47*b**2 + 229*b**2.\nAnswer: b**2 - 10522*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326 - 273. Suppose q*a = 17*a + 1260. Calculate the greatest common divisor of 35 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 25. Let o(p) = -2*p**3 - 6*p + 132*p**2 + 6*p**v + 4 - 134*p**2. List the prime factors of o(4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -542, -5, -1, -1790, -2 in descending order.\nAnswer: 0, -1, -2, -3, -5, -542, -1790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4342*v**2 - 1315621*v + 1515.\nAnswer: -(v + 303)*(4342*v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i - 2. Let f be (10\/(-4))\/(-4*5\/40). Let s be c(f). Solve s*x + 15 = 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/15*(2 + 1). Let p(x) be the third derivative of 1\/6*x**3 + 2*x**2 - 1\/12*x**4 + 1\/80*x**l + 0*x + 0. Solve p(o) = 0 for o.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 809 + -545. What is the lowest common multiple of 72 and 2\/((-1050)\/r - -4)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/14)\/(y**35*y)*y*y**(-11)*y**(1\/34) assuming y is positive.\nAnswer: y**(-5445\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - q - 4*q - 122 = 0, 5*b = -4*q + 465. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**3\/6 - b**2\/2 - 5*b. Let j(x) = 14 - 7 - 5 - 6*x**2 - 2*x. Give j(g) + 2*l(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91239?\nAnswer: 3, 17, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 91026509 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15930 times 4?\nAnswer: -63720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2) + -1)*-4. Let a = -18 - -21. Suppose a = -y - b. Sort 2, y, 0 in ascending order.\nAnswer: y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 176, 574, 1188, 2012, 3040, 4266?\n\"Answer: -n**3 + 114*n**2 + 63*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 65*l**3 + 66*l**3 - 7*l)*(-198 + 155 - 195 - 139).\nAnswer: -377*l**3 + 2262*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4945?\nAnswer: 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z**2 + 11. Let q = 533 - 535. Let t(n) = -7*n**2 + 5. Let u(a) = 6*a**2 - 4. Let c(r) = -5*t(r) - 6*u(r). What is q*y(x) - 22*c(x)?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 424303?\nAnswer: 424300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*1*3)\/(sqrt(10) + (sqrt(100)*-2)\/sqrt(10)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 0*x - x. Let p = 19 - 30. Let c = p - -12. What is q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185195160?\nAnswer: 2, 5, 233, 234463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0641 - 0.1641. Let f be (6\/4)\/((-9)\/(-24)). What is the nearest to 1 in -6\/11, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1218 + -1223.842. What is q rounded to 1 decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33925193.9121075478 + -2004.0880064522. Let t = b - -33927126. Let k = 72 + t. What is k rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 3. Let m = y + 7. Let q be ((-9)\/6)\/((-30)\/(-8)). Put m, 4, q in ascending order.\nAnswer: q, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.05 (c) -4 (d) -11\/5 (e) -1\/5 (f) -78 (g) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) -4\/3 (b) 112\/13385 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151097\/8 + (-110)\/880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*b**2*k**3 - 2*b**2*k*q - 4*b*k**3 - 190220*b*k**2*q + k**3*q + 2*k**3 + k**2 wrt k?\nAnswer: -162*b**2 - 24*b + 6*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2 - 10*r + 72 = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h + 20 = -4*y, 15 = 3*h - 3*y. Suppose h = -3*c + 3*m + 255, 6*m = 4*c + 9*m - 312. What is the highest common divisor of c and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159\/(-212)*(-4)\/(-15)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -16. List the prime factors of 98\/j + 2\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 = -g - 4*g, 0 = -4*l + 3*g + 6. Let d = -1874 - -1974. Suppose 7*z = l*z + d. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1871.200735 to one decimal place.\nAnswer: 1871.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/s)**(2\/19) assuming s is positive.\nAnswer: s**(12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 51 = -5*c, -71*c + 67*c - 59 = -3*m. Solve 2*z = -4*f + 14, 3*z - 2*f = -0*z + m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 11*r**2 + 23. Calculate o(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27585380 to the power of 1\/2, to the nearest integer?\nAnswer: 5252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2 + 1. Suppose -2*g + 1 = -p. What is the second derivative of 2*t - 3*t**2 + g*t**2 - 2*t**3 + t**2 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 83?\nAnswer: 59760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/4))**(-28)\/(l**0\/l*l*l**(-5)\/l*l) assuming l is positive.\nAnswer: l**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 8 - 20. Suppose -23*d + 84*d - 109 - 989 = 0. Suppose 2*o - 3*t - 8 = d, -j*o + 64 = -3*t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21102121222 (base 3) to base 12.\nAnswer: 70782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -4715*u**4\/24 + 7*u**3\/3 - 86*u**2 - u. Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3*(-21)\/(-14). Let s = 32 + -45. Let t = -8 - s. Solve -t*z = -3*h - 16, 4*z = h + 1 + y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 800 by 2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 40 = 30*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**5*v + 29*q**3*v - 3808*q**3 - 282816*q*v wrt q.\nAnswer: 20*q**3*v + 174*q*v - 22848*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k - 10 + 35*k - 11*k. Suppose 0 = 6*x - 2*x - 12. Is j(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1508, 3903, 6298, 8693, 11088?\nAnswer: 13483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbnnbbhxbbnnbbhnb. What is prob of picking 1 x, 1 h, and 1 j?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3529, -1491, 547, 2585, 4623?\nAnswer: 6661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-24)*(36\/6)\/(-6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 787973293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 1. Let h be p(-2). Let k be h + 10\/(-6)*-3. Solve -k*y = -3*y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/3, 0, 3, 15 in decreasing order.\nAnswer: 15, 4, 3, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 35\/11) + 18 + (-29 - -14)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**2 - p + 0 + 0*p**3 - 1\/6*p**4. Let r(v) = -5*v**2. Let h(f) = -11*f**2. Let i(o) = 2*h(o) - 5*r(o). Determine i(k(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16487 - 16487. Let g(s) = s**3 + s**2 + 26. Let i be g(0). Suppose 0 = -4*p - 6 + i. Solve h = m - p*f + 9 - 28, -m - 4*f = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23300.0712 milliseconds to days.\nAnswer: 0.00026967675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.81024 millennia to years.\nAnswer: 91810.24","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -75. Suppose 2*a = z + j, -6 = -4*a - 3*z + 35. Suppose 0 = -a*t + 4*t + 720. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123555647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43065.6 and -104.235282.\nAnswer: 42961.364718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1123 + -2 + 1 + -1. Let a = 710 + c. Is a\/(-4) - (-12)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 + 2*k - 5. Give w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d**(-1\/4)*d)\/d)\/d))**(-3\/37)*d**(1\/5)*d**(2\/7))\/((d**(-1\/8)\/(d*d**(-1\/7)))\/(d**(2\/7)*d)**(-23)) assuming d is positive.\nAnswer: d**(-293043\/10360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 324 = -4*t, 39 = v - t - 36. Let r = v - 46. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*8\/(-30))\/(180\/(-150))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -6)*2\/2. Let x(q) = -q**2 - 5*q - 4. Let k be x(f). Suppose -k*o = o - 108. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1415660*b**2*y**4 + 687*b**2*y**2 - 167*b**2*y + 347*b*y**3 - 16*y**2 wrt y?\nAnswer: -33975840*b**2*y + 2082*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.515157 litres to millilitres.\nAnswer: 7515.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose -123 = -3*r - 3*m, -16 = -m - 3*m. Suppose 4*b = -0*b - p + 73, 0 = q*b + p - r. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 times -9511.68?\nAnswer: 475584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052202239 to the power of 1\/3, to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -67, 0.5, -0.41, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from eetthxddhexdhdhpdhd.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Suppose -y - 2*b + 4 = 0, 0*b = 4*y - 2*b + g. Solve 2*w = -y*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034333000 rounded to the nearest 1000000?\nAnswer: -1034000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 4 + 8*r + 2*r**3 - 4 + 3*r**3 + 1. Is g(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laa when three letters picked without replacement from {m: 1, l: 11, a: 2}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((2\/5)\/((-2)\/30)). What is the closest to 1\/4 in -5, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/4)*d)**49)**(-11) assuming d is positive.\nAnswer: d**(539\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6924 - 6924.1. What is the closest to 33 in -1, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let d(t) = 5 + 0 - 4 - t. Let s(z) be the second derivative of -2*z**3\/3 - 1488*z. Let j(y) = -3*d(y) + s(y). What is -4*j(q) + 5*w(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(p + 5*p - 2*p) + 0 + 0 - 2*p - 2.\nAnswer: 10*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 1, t: 1, u: 1, i: 1, l: 1}. Give prob of sequence sim.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 6 - 4)*(-u - 57 + 58 - 3*u + (-2 + 2 + 1)*(u + 0 + 0)) to the form j*u + o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-35 - -26) - -25) + -43 + 0 + 2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000096762532 to 7 decimal places.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*y + 6*y - 4*i, -4*i - 16 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17888 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 14\/(-7)) + (3 - -5674) - 7. Calculate the greatest common factor of 25 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 24 = 2*h. Let g be h\/(-2)*5\/(-20). Suppose -d - 14 = -3*d - 4*r, -g*d + 2*r + 61 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 218. Let y = 177 - o. Factor -y - n**3 + 2*n + 3\/2*n**2 - 1\/2*n**4.\nAnswer: -(n - 1)**2*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p + 4. Calculate the remainder when ((-213)\/(-9))\/(1\/3) is divided by j(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27.96 times -0.253\nAnswer: -7.07388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 0*l. Let n = -2 + 1.98. Let w = n + 0.12. What is the nearest to w in l, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heheehtthheheh. Give prob of picking 1 t and 2 h.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - f)*(0 + 2 + 0)*(4 - 1 - 5)*(460 - 1259 + 619).\nAnswer: 2160*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4059, 2 in ascending order.\nAnswer: -4059, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 6:26 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -51*x + 41*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 5*b**3 - b**3)*(2 + 2 - 5)*(2*b - 4*b + 2*b**2 + 4*b) - 27 - 5*b**5 + 27.\nAnswer: -15*b**5 - 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0414 + -0.8?\nAnswer: -0.8414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 2*m - 4. Let z be l(-5). Let u = z + -16. Suppose -h + 3*d = -171, 0 = 3*h - 7*d + 10*d - 549. What is the highest common factor of u and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**3 - 7473016*l**2 + 7473022*l - 1868256 = 0. What is l?\nAnswer: -934128, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161.18 + -183.222. Let l = 0.042 + b. Let j = l - -18.7. What is j rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-100))\/((-1)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998142?\nAnswer: 2, 83, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 2*k**3 + 2*k**4 - k + 2*k**2 + 2*k**2 + 3*k**2 - 3*k**2 to f*k + v*k**3 + b*k**2 + r*k**4 + a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9)*(-46 - (-17 - -1)). Solve -3*z = -3*l + 6, -2*z - 6*l + m = -2*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8101*y - 99769 with respect to y.\nAnswer: -8101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 917\/25 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 992 + 17779. Suppose 7536 = 5*l + g. Let k = l + 40409\/18. What is the common denominator of -31\/8 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f + 977 - 307 = 38*f - 36*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 9*l + 180. Suppose -4*j - 152 = -6*j. Let i = j - l. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*i + 12. Let v(b) = -b**2 + 6*b - 4. Determine v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 5*t - 3*t)*(2 - t**4 - 2) + t - 2*t**5 - t + 0*t**5 + 2*t**5 - t**5.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(90\/(-1260))\/(4\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 31*w + 56. Determine y(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.002 - 0.002. Which is smaller: d or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52937513 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -11, -0.4, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65 + (-4 - -5 - 0). Let m = 3889 - 3845. What is the greatest common divisor of m and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 17*z - 10. Let f be h(-16). Solve 4 = 2*l - f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2. Let w = -1 + 3. Let p(r) = 2*r - r - r + 5*r**w. Calculate p(h(v)).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0, -5, -29 in increasing order.\nAnswer: -29, -5, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1094*p**4 + 9226*p**2.\nAnswer: -26256*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 5?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 2*k**2 + 155 - 460 - 7*k**3 + 122.\nAnswer: -7*k**3 - 2*k**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 + 15567*b**3 - 124383*b**2 + 202077*b - 93258 = 0. What is b?\nAnswer: 1, 6, 5181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 6\/17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-74)\/3)\/(12\/(-18)). Let q = -23 - r. Let o = -20 - q. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19328, 19322, 19314, 19304?\n\"Answer: -d**2 - 3*d + 19332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.3 (b) 7 (c) 4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -40. Let i be (6\/2 - 128\/48)\/(4\/3300). Calculate the highest common divisor of i and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1 - 13) - (-9)\/36. Let u(w) be the first derivative of -1\/6*w**4 - d*w**2 + 0*w - 3 + 4\/9*w**3. What is c in u(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 39. Let d(s) be the first derivative of 501625*s - 76 - 501625*s - s**2. What is j(d(z))?\nAnswer: -6*z - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 - 2*z**3 - 4*z**2 - 10*z\/3 - 1.\nAnswer: -(z + 1)**3*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 29*y - 111. Let o(d) = -14*d + 55. Give 2*c(k) + 5*o(k).\nAnswer: -12*k + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6) - (-34)\/51. Suppose v*x + 490 = 518. Calculate the remainder when x is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 - -165. Sort a, 22, -1\/5 in decreasing order.\nAnswer: 22, a, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 457349 + 2\nAnswer: 457351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(275))*5.\nAnswer: -5 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1904049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79175158*l**2 + 32296141.\nAnswer: -158350316*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*d = 426*d - 34202. Calculate the remainder when d is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(180) - -1*sqrt(180)*2 - sqrt(180))\/sqrt(9))\/(-1*sqrt(484)*3).\nAnswer: -2 - 2*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639882720 and 2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 20*r. Let p(m) be the third derivative of 0*m**3 + 0*m + 0 - m**2 - 1\/24*m**4. Let u(b) = 16*p(b) + x(b). Let j(s) = -s. What is j(u(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 5*d = 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 o when four letters picked without replacement from {o: 3, i: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:54 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(35\/10 - 3). Suppose 0 = -2*n - 2*p - 48, -n - 5*p - 3 = c. Let w = n - -29. Solve -3*j - 1 - 2 = w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.06, 4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35\/14 - 1)\/(238\/(-28) - -4). What is the nearest to 2\/23 in 22, 2\/5, -5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 335601*q*x**2*z**2 + q*x**2 - q*x*z - 7414*q*z - 5*q + x**2*z + x*z**2 - 17*x*z - 20*z**2 wrt z.\nAnswer: 671202*q*x**2 + 2*x - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000201667618 rounded to 6 decimal places?\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-284)\/2)\/(-4 - -6). Let j = 73 + x. Suppose -q + 0 = -4*f + 4, 3*q = j*f + 28. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - s = -0*d + 51, 0 = 5*d + s + 123. Let f = -11 - d. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-7) - (-2)\/7. Let o = 6 - p. Solve 5*s = o + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 + 7 - 5*s**3 + s - 2 - 1. Suppose 3*w - 11 = -38. Let z = 12 + w. Let h(u) = -4*u**3 - 4*u**2 + u + 3. Give z*a(i) - 4*h(i).\nAnswer: i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 14*g + 3. Let w(f) = 82*f. Let r(k) = 195*k. Let x(t) = -4*r(t) + 11*w(t). What is d(x(n))?\nAnswer: 1708*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2990*z**2 + 2325*z + 9. Let s(n) = 747*n**2 + 583*n + 2. Let u(f) = 2*b(f) - 9*s(f). Find the second derivative of u(a) wrt a.\nAnswer: -1486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22572220 and 592.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 11) to base 7.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.7. Sort l, -2, 3, 2\/19.\nAnswer: -2, 2\/19, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*l = -157*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 270. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8708740 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 m(u) = u**3 + 8*u**2 - 4*u + 2. Let r be 53*(-11)\/77 + 6\/(-14). Give m(r).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14944 (base 12) to base 10\nAnswer: 28996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j + 35. Calculate m(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 30*k + 4*s - 38, -4*k + s = -19. Suppose 3*g - k*z = -4*z + 19, -3*g - 2*z - 1 = 0. Solve g*h + 4*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f**(-1)*f)\/f)))**(-10\/17)\/((f**1*f)\/f)**(-6\/11)*((f*f*f**2*f*f*f)\/(f**(-1\/4)*f))\/((f\/(f**(2\/11)*f))\/f*f**(8\/7)) assuming f is positive.\nAnswer: f**(38865\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7640207*v**4 - 17693559 wrt v.\nAnswer: -30560828*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4278.1 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 46688*j - 373527. Determine b(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/18 + 1)*-1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83 + -111683?\nAnswer: -111600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 36 = -u, -4*u - 2*f = -65 - 59. Let z be -108*(-4)\/(u\/1124). Let t = z + -8174. Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -92. Let k be (-1 + 6)\/(-1 + 2). Let w(u) = u**3 - 4*u**2 - 4*u - 6. Let p be w(k). Are v and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*((2 + 0 + sqrt(275) - -6*sqrt(275)*-2) + 0)**2 + -2.\nAnswer: -332792 + 2200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {j: 4, h: 2, w: 7, u: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 34*d - 252. Calculate the remainder when o(9) is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027993541 rounded to 6 decimal places?\nAnswer: 0.002799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a (base 15) in base 2?\nAnswer: -1111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143 (base 9) to base 6.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m - r + 4, -3 = -3*m + 5*r. Let c be (2 - m) + -1 - -2. What is the third derivative of f**c + 6*f**4 + 0*f + 5*f**2 + 0*f wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71808?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7406 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -82, -71, -60, -49, -38?\n\"Answer: 11*q - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 25. Let z = p + -22. Suppose 4*l - 4*t = 60, t - z = -l - 2*t. Calculate the highest common factor of l and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**4 - 432*m**3 + 10752*m**2 + 50176*m = 0.\nAnswer: -4, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2609296783.\nAnswer: 179, 727, 20051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1. Let v(r) = 1. Let p(b) = a(b) - 3*v(b). Let g be p(4). Suppose 5*u = g*u + 12. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 120.33, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:52 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 1, 297 in increasing order.\nAnswer: -46, 1, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2)*4\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*h**3 - 1089*h**3 + 544*h**3 + 0*h + 0*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206 + 24. Is o + -4 + (3 - 1) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 49899\/5*z**3 + 93702\/5*z**2 + 3\/5*z**5 - 199644\/5*z - 387096\/5 + 768\/5*z**4 = 0.\nAnswer: -127, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 16*h + 15 = -3*f, 2*h + 2 = -2*f. Let z = 15\/2 + f. What is the third biggest value in 5\/2, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.02, -21, -11237?\nAnswer: -11237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.59536l to millilitres.\nAnswer: 47595.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -13600.\nAnswer: -13599.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -4843\/256?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -33*z + 14*z + 17*z - 1 + 5. Let p = -2 + 5. Calculate n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3306 - 59*n**2 + 3306.\nAnswer: -59*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + u - 1. Let s(k) = -k**2 + k - 1. Let j(w) = -2*f(w) + 3*s(w). Let y be j(2). Suppose 0*r + 5*l - 21 = -r, y = 5*l. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/132 and 131\/220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 22. Is 3 a factor of 1*h - (-36)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2153 - -3985. List the prime factors of l.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}