diff --git "a/data/dm_maths/full_data_1/10868_11255.jsonl" "b/data/dm_maths/full_data_1/10868_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10868_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -w + 13 = -5*h, -h - 17 = -0*w - 2*w. Let r(o) = -w*o**2 + 8*o**2 + 10*o**2 - 2*o. Let f be r(2). Calculate the greatest common factor of 90 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/30*3)\/(7\/(-35)). Let s be (-1 - (2 + -3)) + -6. Let n = s - -13. Solve 2*k + x = 3, 3*k = -w*x - 1 + n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.072469 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:05 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39345\/21109 + 1\/3838. Find the common denominator of a and 57\/(-266)*(49\/6 + -2).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.7561l in millilitres?\nAnswer: 19756.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*t - 44. Calculate the remainder when (-501)\/(-15) - 2\/5 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 10\/3 (c) -55 (d) -0.18 (e) 3\/7 (f) 1 (g) -2.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 31*m + 26*m = 5, 0 = 5*x - 2*m - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in minutes?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 3, y: 1}. Give prob of sequence yvys.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let k = h + -4.02. Let o = -3.02 - k. Sort o, 5, 0.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 20, 16, 12?\n\"Answer: -4*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -2*v**2 - 1\/24*v**4 - 1\/6*v**3 + 0 + 1\/60*v**5 + 0*v. Let x be l(-3). Calculate the highest common factor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 6*v - 9 - v + (-23 - 1 + 7)*(-3 - 6*v + 3) to the form y*v + h and give y.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Suppose r + i - m = -0*r, -i = -2*r + 10. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:31 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*b = -119*b + 38 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 1. Let l(k) = k - 1. Let t(c) = -2*l(c) + 2*r(c). Let z(d) be the second derivative of 2*d**3\/3 - 7*d. What is t(z(y))?\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/7)*y)**(-19)\/(y**(-2)\/(y\/(y*y**(1\/2))))*((y**0\/y)\/y**(-1))**(1\/17) assuming y is positive.\nAnswer: y**(-435\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - h**3 + 2*h + 3*h**3 - 2*h**3 - 2*h**3 + (0*h + 2*h - 3*h)*(-3*h**2 + h**2 + 4*h**2) - 3*h**3 + 4*h**3 - 3*h**3 + 194*h**3 - 59*h**3 - 8*h**3.\nAnswer: 121*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by -28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*k, -3 = c - 5*c - k. Let q = 4 - c. Suppose -q*g - 55 = -3*g. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 2*l + 2. Let s be g(0). Calculate the smallest common multiple of 5\/(((-6)\/4)\/(-17 + s)) and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -71. Solve 8 = -2*o + z*d, -2*d = -3*o - 0*d - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 8*y - 12. Let m be r(-11). Let h be (-12)\/m + -3 + 3. Which is the second smallest value? (a) 1 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26023.\nAnswer: 53, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*a*n**3*s**2 - 5*a*s**3 + 2*a*s**2 + 1955*a*s - 917091*n**3*s**6 + 5*n**3*s**2 wrt s.\nAnswer: -30*a - 110050920*n**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*w - 9*p + 8, -p + 5 = 3*w. Suppose -r - w = z, 4*r - r + z = 1. What is the units digit of 4*9\/2 + r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5741, -11692, -17643, -23594, -29545?\n\"Answer: -5951*h + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) + (0 - (-205)\/20). Solve -24*w = -26*w - 2*s - h, w = s + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**2. Let k(v) = 10*v. Calculate r(k(m)).\nAnswer: 900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -7 - -1 - 23\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -305505 divided by 4185\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 690*f + 695.\nAnswer: -5*(f - 139)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5668 and 1290068?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 80, 122, 184, 278, 416, 610, 872?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690150 divided by -345075?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3094851959?\nAnswer: 83, 1327, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9454 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**7\/2520 + 11*q**6\/720 + q**4\/3 - 9*q. Let z(w) be the third derivative of v(w). Is 29 a factor of z(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 + 17*n\/2 + 55 = 0. Calculate n.\nAnswer: -5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w - 4. Let h(f) = 1. Suppose -679*r - 680*r = -1369*r - 40. Give r*h(a) - u(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 224. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 9*b - 35*b + 16*b - 1.\nAnswer: -12*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1590.\nAnswer: 4770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/8)\/(2\/(18 - 16)). Let j = 2.9 + 2.6. Let f = 5 - j. What is the nearest to 1 in 3\/4, p, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.049726.\nAnswer: 0.24863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - (-187)\/4)\/((-51)\/(-272))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) + (-190)\/(-40). Suppose -2*b + h*b = 0. Let s(l) = l + 25. Is s(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 4*z + z)*(4 + 3*z - 4*z - 5).\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(2) + 4 + sqrt(2) + sqrt(20)\/(sqrt(40)\/sqrt(4)) + (sqrt(240)\/sqrt(490))\/sqrt(12))*-3)**2*5.\nAnswer: 23760*sqrt(2)\/7 + 236520\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205*i**3*o**3 + i**3*o + 20*i**3 - 2*i**2*o**3 + 327*i**2*o - 2*i*o**3 wrt i.\nAnswer: 1230*o**3 + 6*o + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 4, -2, -6, -8, -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 486 + -4372\/9. Suppose b - 17 = 5*m, -m = -5*m - 16. Put k, b, -5 in decreasing order.\nAnswer: k, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005473 rounded to 5 dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18997\/3592 + -4\/1347. What is the common denominator of k and 2\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1250)\/500*(-29)\/(-10)*(-16)\/(-4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 238, 433, 628, 823?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xvxxvejsvvxjxjvevvx.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3743a5 (base 13) to base 5\nAnswer: 314320421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-987)\/(-9) - 4\/(-12). Let m = -75 + t. Calculate the highest common divisor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/265 + 30237\/3710. Suppose -5*l - 26 - 174 = 4*z, -4*l - 2*z - 160 = 0. Calculate the common denominator of l and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.3 + 8. Let h = g - 1.7. Which is the nearest to 1\/11? (a) 2 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.3791? (a) 1 (b) -1\/4 (c) -7 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u. Let l be 4*(u - 2\/(-4)). Suppose 742 = l*w - 2*v, -w - 2*v = w - 742. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.042 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -46.43.\nAnswer: -13.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arhh when four letters picked without replacement from rrrrrrharrchhacr.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + 6*sqrt(102)*-2 - sqrt(102)) + 3*sqrt(102)*-5)\/((sqrt(36)*-1 - sqrt(36))\/sqrt(6) - sqrt(66)\/(-3*sqrt(11)))*-6)**2.\nAnswer: 4015332\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 55. Determine c(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 28490.4.\nAnswer: -8547.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = 4*j, o + 8 = -5*j - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -30, -87, -196, -375, -642, -1015?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33667?\nAnswer: 131, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by -72?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119814\/8408)\/(38\/4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - c - 1. Let h(k) = -4*k**2 - k + 2. Let d(f) = -g(f) - h(f). Let t be d(1). Solve -p - t = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -166?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.058 + -0.158. Sort -1\/4, 1\/4, s, 23 in descending order.\nAnswer: 23, 1\/4, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1328\/33915 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**5 - n**4 - 2*n**2 - 2*n. Let k(f) = -2*f**5 + 3*f**4 + 5*f**2 + 5*f. Let i(g) = -2*k(g) - 5*t(g). Factor i(o).\nAnswer: -o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401 (base 7) in base 6?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124560 and 1640?\nAnswer: 5106960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csccpppccpccccpcc. Give prob of picking 3 p and 1 s.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from nppnnpnpnpnp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 96*s + 27. Suppose 15*i = 5*i + 70. Does 22 divide h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811975?\nAnswer: 3, 5, 37493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Suppose d*o = 4*i + 36, 3*o - 2*o = -i. Suppose 2*v + 0*v - o = 0. Solve v*z + 20 = 4*p, 0*z - 2*z = 4*p - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107548842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 1220 = 133*b - 2455 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11683000 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r. Let b(l) be the third derivative of l**5\/6 - l**4\/8 + 823*l**2. Give b(n(u)).\nAnswer: 90*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -15 - -5 - (-313 - -24). Solve -5*a + 289 = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**2 - 14*c + 60. Give t(-5).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10)**(-31) assuming j is positive.\nAnswer: j**(-310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22672*f**3 - 57049*f wrt f?\nAnswer: 136032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199*q**2 + 6*q - 32.\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32218 and -0.02227.\nAnswer: 717.49486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5004487825.\nAnswer: 5, 200179513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*b**4\/5 - 2184*b**3\/5 + 34453*b**2\/5 - 10591*b + 4290 = 0. What is b?\nAnswer: 5\/6, 26, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 826061 * -0.01\nAnswer: -8260.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = -3*y, -2*y + p - 1 = -0*y. Is 6 a factor of 3\/(6\/46)*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19963 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 3, t: 3, i: 4}. What is prob of picking 1 d and 2 i?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17050.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110001 (base 2) to base 16.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3312?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07469087 to 4 dps.\nAnswer: 1.0747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j - 4. Let d = 2 - 2.1. Let l = 283\/3 - 95. Which is the nearest to d? (a) -0.1 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 35 + 5 = 0. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417420342?\nAnswer: 2, 13, 54516167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26479 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3726982 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 909 (base 14) to base 11\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a21 (base 12) to base 4.\nAnswer: 1030321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.989 + -0.011. Let r = 17 + b. Let d = -6.0035 - r. Round d to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37932\/(-1635)*(((-21)\/35)\/(-1) + (-31)\/10)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 29*s + 152780 = 154034 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)*s**(1\/6)*(s\/s**(-9))\/s**(8\/7))**(2\/85) assuming s is positive.\nAnswer: s**(-167\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2474 divided by 1.\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5492 divided by 125\nAnswer: 5492\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y)\/y)**(-9\/4)\/(y**(1\/7)*y**0)*(y**1\/y**(-2))\/((y*y**(-5)*y)\/y**(-3\/4)) assuming y is positive.\nAnswer: y**(143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 45*o - 17*o - 11*o - 6*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 210074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17288622, -17288619, -17288616, -17288613, -17288610, -17288607?\n\"Answer: 3*h - 17288625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43189\/36 + -4767\/4. Find the common denominator of u and 49\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ed - -82b0?\nAnswer: 86ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1624 and 61\/9676?\nAnswer: 3928456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31797 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 80 = -2*m. Let b = 195 + -137. Calculate the remainder when b is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**0*s*s)\/s)\/s**(-5))\/(s**(5\/3)\/((s*s*s**(-1\/7))\/s*s)))\/(s**(-4)\/s*s*s*s**(-1\/5))**37 assuming s is positive.\nAnswer: s**(13082\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*w - 32*w - 16*w)*(1 + 3 - 1)*(-1 + 2 - 4).\nAnswer: 990*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.666 and -43134.\nAnswer: -28727.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 - 4*t**3 + 4*t**2)*(-2*t - 2*t + 8*t) + t**4 - 3*t**4 + 3*t**4 to the form n + y*t**3 + s*t**4 + w*t**2 + h*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, 3, 0.1, -284?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*p + 28. Let v = -9 - p. What is the derivative of v + 4 - f - 4 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1 - -3) + (18 - (21 + 35) - 44).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89 - 20) + (15 - -140)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5536751 - 19.6.\nAnswer: -5536770.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((4971682\/(-2))\/1)\/(16 + -17). Let z = -1645841 + o. Let j be z\/(-3 - 4\/(-1)). Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103722417.1 rounded to the nearest one thousand?\nAnswer: 103722000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056 is divided by (19\/(-7) + 42\/147)\/((-4)\/28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - 5\/(-15). Suppose g*l = -l + 6. Is l at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 113011043 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 457788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/77763 and -101\/1044.\nAnswer: 27061524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 3. Let m be r(-9). Suppose x + y - 48 - 19 = 0, x - 5*y = 61. What is the greatest common divisor of m and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -32, -4, -4349 in decreasing order.\nAnswer: -0.5, -4, -32, -4349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -257464, -257443, -257408, -257359, -257296, -257219?\n\"Answer: 7*r**2 - 257471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9623, -9402, -9181, -8960, -8739?\nAnswer: -8518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5701 + -4888. Is 821 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -34, -13, 1 in ascending order.\nAnswer: -34, -13, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (18 - (1 - -5)) - (10 - 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -536 >= -536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 22 = o, -3*o - 5*x + 279 = 295. What is the remainder when 1078 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1239 and 1308?\nAnswer: 540204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 62*u**2 + u - 28. Suppose 4*a + 5*i - 124 = 0, 5*a = 31*i - 32*i + 155. Let d be q(a). Solve p + 4*p + g - 4 = 0, 4*p + d*g = 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -657, -763, -865, -963, -1057?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(15) - -3*sqrt(960))\/(3*sqrt(15)\/sqrt(3)).\nAnswer: 125*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**5\/20 + 5*s**4\/12 + 2*s**3\/3 + 19*s - 2. Calculate c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*((sqrt(7) - (-1 + sqrt(7))) + -1 + sqrt(49)\/sqrt(7) + 1)*2.\nAnswer: -8*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 0.054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/1681*(-48)\/(-96).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8130.1 - -8130. Which is the smallest value? (a) u (b) -5 (c) 502\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 16. Suppose 7*h + 15768 = 25*h. Suppose -5*c + u = -h, -166 = -c - 2*u + 18. Calculate the greatest common divisor of c and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (6 - 4 - 10 - -14) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - -4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a - 155. Give m(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-6\/11)))\/k**5)**(-17\/3)*(k**(3\/2)*k*k\/(k*k**(-3\/4)*k))\/(k**(3\/7)*(k\/k**(-1\/7))\/k) assuming k is positive.\nAnswer: k**(24875\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 + 4*j + 2. Let l(s) = 3*s**2 + 7*s + 5. Let i(v) = 7*v**2 + 13*v + 9. Let g(d) = 3*i(d) - 5*l(d). Let w(r) = -5*g(r) + 4*u(r). Factor w(p).\nAnswer: -2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**11\/55440 + y**7\/840 + y**4\/4 + y. Let s(q) be the third derivative of z(q). What is the third derivative of s(i) wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250230235 to the power of 1\/3, to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3951 and 206330?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, 46, -0.3 in decreasing order.\nAnswer: 46, 1, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.968 + 0.032. Let c = -19.9 + h. Put c, 3, 5 in descending order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181235.3*-10\nAnswer: -1812353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = 0, 3*h - 3 = y. Let i(v) be the first derivative of 2\/3*v**3 + 0*v**2 + 2*v - h. What is the derivative of i(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*d - y - 92, 4*d + 3*y = 163. Suppose 17*h**2 + 24 - d*h**2 + 10*h**2 + 12*h**2 + 4*h = 0. What is h?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 2 + 109*d + 1\/3*d**3 + 1\/2*d**2. Is p(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -185935 and -71337.\nAnswer: -257272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -5171*h + 5163*h - 148 - 121 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 5*u + 1. Let b be i(6). Suppose -l = -q + 45, q - 5*l = 57 - 0. Let x = q - b. What is the greatest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533 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: Three letters picked without replacement from {y: 3, b: 13}. What is prob of sequence yyy?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7947 + 33863. Suppose 17*d - m - 34638 = 0. Calculate the common denominator of -111\/10 and d\/(-468) + (0 - -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/(-15))\/((-2)\/(-3)*1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 2*f = -4*r - 74, 4*f = -5*r + 78. Suppose 5*h = -q + 41, -r = 2*h + 4*q - 16. Let i = -16 - -26. Calculate the least common multiple of h and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1033?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 154, 216, 258, 274, 258, 204, 106?\n\"Answer: -y**3 - 4*y**2 + 81*y + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -0*d + 2*d + k, -5*d - 4*k = -60. Suppose -v - d = v. What is the tens digit of v\/((-12)\/75) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 48818*q**2 - 26*q + 1. What is the units digit of m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 121 = 8*b - 65, -5*t + 89 = -2*b + 123 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 394\/30 - (-4)\/(-30). Suppose f = 3*y - 2. Suppose y*n = n + 28. Calculate the remainder when 26 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p**0\/p)\/p)))**(2\/31))**(2\/15)\/((p*((p\/(((p*p\/(p**(-1)*p)*p)\/p)\/p))\/p)\/p)**13\/(p*p*p**0*p*p*p*p\/p**2)) assuming p is positive.\nAnswer: p**(7897\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a hour in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3952*p + 3951*p + 4 - 1 to r + u*p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:03 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -9 - (2 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990587*s - 34410 = 990217*s for s.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w**2 - 2*w + 3. Let h = -13 - -10. Let x be b(h). Suppose x = 2*g + 3*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41454 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1245\/2 - (-150)\/(-60). Round q to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/8 + 5193*p**2\/2 - 353943*p\/8 + 41646 = 0. What is p?\nAnswer: -6941, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741 = 208*m - 18603. Calculate the smallest common multiple of 93 and m.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40951.\nAnswer: 31, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 548 times 8458\nAnswer: 4634984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(7\/(-266)). Suppose -x*w = -23*w + 844. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Suppose h*d - 3*p = 16, -3*d + 0*p + 18 = -3*p. Let g(y) = -y**3 + 4*y**2 - 2*y + 3. Is g(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpjprsjhrppjpprjphj. Give prob of picking 1 p and 1 s.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**3 + 22*a**3 + a + 19*a**3 + 13 - 36*a**3 to n*a**3 + o*a + h + u*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 1076319.\nAnswer: -7\/358773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (57 - -49) - -5.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -894616, -1789171, -2683728, -3578287?\n\"Answer: -u**2 - 894552*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*z + 25*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-16)\/(-4))\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvgnagrvqrrgvnrgnn.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2539141 is divided by 924.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -451\/4 - -113. Let z = -0.04 + 0.34. Let r = z - -0.2. What is the second smallest value in i, r, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 1 (c) -2 (d) 3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 481056.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16624 plus 0.3?\nAnswer: -16623.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11204973, -22409854, -33614735, -44819616, -56024497, -67229378?\nAnswer: -78434259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 5*q - 4*q)*(1 - 2 + 0) + 3*q - 3*q + q + (4*q - q - 2*q)*(-2 + 6 - 2) + (0 + 1 - 3)*(-245 + 117*q + 245) as w + g*q and give g.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbrmrbmrrrgr. Give prob of picking 1 m, 1 r, and 1 g.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 35*f + 820. Let m(j) = -12*j - 274. Let g(k) = 11*m(k) + 4*p(k). Differentiate g(q) wrt q.\nAnswer: -16*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - -11100011010110011?\nAnswer: 11100011010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/7 - 25*q**2\/7 + 24*q - 144\/7.\nAnswer: (q - 12)**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 437.3741 millennia?\nAnswer: 4373.741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*t - 42 = 0, -20*t = -21*t - 3. Solve 5*j = -4*q - i, 4*q - 2*j = 3*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/((f**(4\/13)\/f)\/f))*f\/f**(-10) assuming f is positive.\nAnswer: f**(121\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440 (base 11) to base 2.\nAnswer: -1000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(91)*1 - sqrt(91)))\/(1*sqrt(448)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2913*j + 11 + 976*j - 11.\nAnswer: 3889*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -16. Let c be (1 - w)*(-36)\/28*-4. Suppose -14*i + 10*i + c = 0. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - a**2. Let n be h(-1). Let f be (-10)\/(-8)*4 - n. Solve -f*m + 1 = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 148 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -9. Let p(j) = -352 + 706 - 9*j - j**2 - 354. Let i be p(r). Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 6:09 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 20*w + 42. Calculate a(19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(29*r**4 + 29*r**4 - 40*r**4) + 1 - 1 - 2*r**4.\nAnswer: 34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2. Let a(r) = -4*r**2 + 227*r - 103. Give a(p(s)).\nAnswer: -144*s**4 + 1362*s**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let v be (6\/(-9))\/(s\/(-30)). Suppose -2*w - 13 = -5*l - 3, -4*w + 5*l = 0. Solve -v*f + 0 = -w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/7))**(5\/12)\/(d*d\/(d\/(d*d*d\/d**(-3)))*d**2\/d)*((d**(-2\/7)\/d)**16)**(-6\/35) assuming d is positive.\nAnswer: d**(-3859\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 814 + -815. What is the closest to -0.1 in l, 2, -0.3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.93 + 15.73. Let r = 2 - 3. Sort r, -7, u, 0 in ascending order.\nAnswer: -7, r, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 6*c - 6. Let a be m(6). Let y be -1 - a\/(2 - 0). Calculate the highest common divisor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2289.671 centimeters to kilometers.\nAnswer: 0.02289671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/3 - 757676*q\/3 + 71759115122\/3 = 0 for q.\nAnswer: 189419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.162, 5, -0.7 in decreasing order.\nAnswer: 5, 0.162, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3.24, 0.18, 0.3.\nAnswer: -3.24, 0.18, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 27 = 4*z + 4*h, 0 = -4*h + 20. Solve v = 2*a - 2*v + 4, -v + z = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3340.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 154 = -3*f - 2*t, 3*f = -4*t - 103. Let s = -71 + f. Let l be (-80)\/s - 4\/(-14). What is the highest common factor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20573 - -30609. What is the greatest common divisor of s and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = p - 4*p - 178, -7*p = -3*q - 463 + 863 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and 393.639518?\nAnswer: 403.639518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*3)\/(87\/290). Find the common denominator of -53\/18 and 108\/n*(-70)\/(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - f - 108 = 0, 2*i - f + 102 = 7*i. Suppose -b + 5 - i = 0. Let u be 1\/2 + (-216)\/b. Solve -4*a + u = 2*k, -6*a + 25 = -a + 5*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 2*t**2 + 2*t - 7. Let x be a(0). Does 7 divide x\/3 - 2\/3 - -94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5573 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*n**3 - 13*n**2 - 3*n - 41880?\nAnswer: -27*n**2 - 26*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 310*u - 124. Let b(v) = -2*v**2. What is k(b(t))?\nAnswer: -8*t**4 + 620*t**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, 0.2, 197661?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*a - 28, a + 5*n - 30 = -a. Suppose 0 = -a*m + 5*f + 15, 2*m = 4*m + 3*f - 26. Which is smaller: m or 9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 - (1 + 20 + -13 + -53).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -3, 9.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8279, 16562, 24845?\n\"Answer: 8283*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 873640 times -0.37?\nAnswer: -323246.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 2*q, -f = -0*f - 4*q - 16. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 239, 479, 957, 1751?\nAnswer: 2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 28 - 8 = 0. Let v(t) = -2*t - t**2 - 1 + b + 1. Let s be v(-3). Solve -s = -l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14112\/5*z + 3\/5*z**4 - 294\/5*z**3 + 7491\/5*z**2 + 6912\/5 = 0. What is z?\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + x - 2 + (-2 + 1 - 2)*(-7*x - 3*x + 3*x).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -143, -3203 in descending order.\nAnswer: 5, -8, -143, -3203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(17 - 13) - (-115)\/(-29). Is -187 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 624619 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -33*j**2 - 1118*j - 996. Determine b(-33).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(15\/280). Let b be (-14)\/4*(20\/u + -1). Let w(h) = -4 + b + 7 - h. Calculate w(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.01 (c) -0.29 (d) 0.2 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most 2\/2853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*n**6 - n**5 - 322*n**2 + 3*n**5 - 14*n**6 + 197*n**2 - 3*n wrt n?\nAnswer: 4920*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12643 and 32011?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(-1 + (sqrt(539) - (sqrt(539) - (sqrt(539) + -2)))*-2))**2.\nAnswer: -84*sqrt(11) + 2162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -7950\/119?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {r: 1, i: 1, f: 1, a: 5, z: 6}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.606 + -0.6018676. What is p rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13366 + -6?\nAnswer: -13405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - 40. Let y = g + 48.7. Let x = 4.1 - 4. Which is the smallest value? (a) 0 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274503 = -11*b + 21881. List the prime factors of b.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + b - 8. Let g(z) = z**2 + z - 2. Let a = 223 + -222. Let u(r) = a*q(r) - 4*g(r). Let n(t) = 3*t**2 + 2*t. What is -5*n(l) - 3*u(l)?\nAnswer: 3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -952 (base 13) in base 7?\nAnswer: -4426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) + 404\/(-10). Let d = 20 - x. Let p = d + -43. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9416*b + 6016838. Give t(-639).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324*k**4 - k**3*z**3 + 186*k**2 - z**3 wrt k?\nAnswer: -7776*k - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 48 = -3*d. Let a(h) = -7*h**3 + 3*h**2 + 32*h - 17. Let l(x) = 6*x**3 - 4*x**2 - 26*x + 16. Let v(i) = -5*a(i) - 6*l(i). What is v(d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 11*f**2 + 19*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.4 (b) 0.04 (c) 1 (d) -3014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 426*c + 429*c - 1286*c + c**2 + 432*c. Let o(s) = -15*s**3 + 6*s**2 + 5*s. Give -5*j(d) + o(d).\nAnswer: -15*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17*-1*(-770)\/935\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-176715)\/36)\/(-17))\/(9\/24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -h + 10, 2*h + 5 = 3*a + 15. Suppose 485 = h*g - 2635. What are the prime factors of g?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a week in hours?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m = -73*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -275 + 156. Let w be (-2335)\/(-7) - 51\/d. Let z = -175 + w. Is z a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246484848 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1810, -1811, -1812, -1813, -1814, -1815?\n\"Answer: -r - 1809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 110*j - 4. Let i(v) = 4*v**2 - 219*v - 10. Let n(r) = -2*i(r) + 5*y(r). Let z(u) = -u. Determine z(n(p)).\nAnswer: -2*p**2 + 112*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**5 + 1410*r**4 - 331318*r**3\/5 + 5186638*r**2\/5 + 212064*r\/5 - 3322336\/5 = 0. Calculate r.\nAnswer: -4\/5, 4\/5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 12. Let u(j) = -j**3 + 15*j - 14*j + 5 + 10*j**2 - 3 - 5. Let g be u(i). What is the greatest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.06953 + -22.138?\nAnswer: -26.20753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 t when four letters picked without replacement from bbwtbwbbwwbbbbtttwwb?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.063 and 528?\nAnswer: 33.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2. Let d(p) = -71*p**2. Give x(d(s)).\nAnswer: -45369*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x + 6. Is (5 + -7)*23\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3 - 240*s**2 + 1075*s = 0.\nAnswer: 0, 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = m - 19403, 0 = -20*m + 21*m + 1. Calculate the greatest common factor of j and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 2 + (-17)\/(-4). Suppose 10 = -196*g + 198*g. Let y = 3 + -3. Which is the nearest to y? (a) f (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 35, 12, -35, -112?\n\"Answer: -f**3 - 3*f**2 + 11*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 866 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s**4*x + 364*s**4 + 6*s**3*x + 6*s**3 + s**2*x + 2*s**2 - 7*s*x + 10*x - 3007 wrt s.\nAnswer: -240*s*x + 8736*s + 36*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 4:29 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least as big as -0.678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfnfppfnpppntn. Give prob of sequence fp.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, 0, 7, 14, 21, 28?\n\"Answer: 7*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-20))\/(24\/(-80)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091659503 a multiple of 2141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.18517 rounded to 1 dp?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 + -438 + (2 - -58)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -8. Let f(j) = -3*j - 4. Is f(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-18))\/((-3)\/9). Suppose 5*k = -w + 25, 0*w - 5*k + 10 = -2*w. Which is the closest to 1\/2? (a) w (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*l**2 - 6*l + 310*l**2 - 625*l**2.\nAnswer: 9*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 - b + 1\/6*b**3 + 5\/2*b**2. What is the units digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3792 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 - 3*h - 1. What is x(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/3))\/x**(-2\/15)*(x\/((x\/(x\/x**(-1\/4)))\/x))\/x**(1\/2)*(x*x**(-1\/2)*x\/x**0)**(-2\/77) assuming x is positive.\nAnswer: x**(5407\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3093, -4, 3449 in decreasing order.\nAnswer: 3449, 0, -4, -3093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 42*q + 339. Let h be b(-7). Suppose h*w - 6104 = -434. Is w a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 - (62 + -6)\/7. What is the highest common factor of 496 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f. Let d(h) = 2*h**2 + 449*h + 2. Determine d(z(j)).\nAnswer: 8*j**2 - 898*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus -0.57?\nAnswer: -6.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7) - (-96)\/189. Suppose 4*u = -3*h + 279, 0*h = -3*u - h + 203. Let d = -460\/7 + u. What is the closest to 2 in d, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 0*u**2 + 0*u**2 + u + 176*u**2 + 129*u**2 - 99*u**2 + (4*u**2 - 2*u**2 - u**2)*(0 - 4 + 1).\nAnswer: 200*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o. Suppose o = t - 2. Suppose p + t = 2*p. What is the lowest common multiple of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 8. Let s(i) = i + 9. Let y = 376 - 379. What is y*l(b) - 4*s(b)?\nAnswer: 2*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uouiruroborwor. Give prob of picking 1 i, 1 o, and 2 u.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 10 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (102\/(-4))\/((-1626)\/(-1084))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3 - 15*s**2\/2 + 16*s. What is the first derivative of r(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(6) - sqrt(30)\/sqrt(5) - sqrt(6)))\/((sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(9)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - l**2 + l**3 + 5*l**2 + 3*l**3 - 2*l**3 to the form b + h*l**2 + t*l + s*l**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 2*h**2 - 3*h**2 - 2*h**3 + 43361*h**4 - 43386*h**4 - 1 to the form x*h**3 + m*h + z + b*h**2 + s*h**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*f = -30, 2*f - 8 = 1695*q - 1698*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005533 to 5 dps.\nAnswer: -0.00553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 1, o: 1}. What is prob of picking 1 o and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (1 - -3))\/(-1). What is the nearest to 2\/5 in -4, l, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2 = x, -9*x + 4*x = -2*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = p + 48 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:21 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 + 3*t + 3. Let u be o(-2). Suppose 31 + 24 = u*h. Suppose 3*w + h = 4*w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3 (c) 2\/5 (d) 0.3 (e) 0.0414\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:00 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 266\/9, -6 in ascending order.\nAnswer: -6, 1\/6, 266\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -71914*h. Let y(b) = -15*b**2. Calculate y(w(i)).\nAnswer: -77574350940*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 235436641 + 3?\nAnswer: 235436644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*f = 14, 3*f = 5*t - 39 + 3. Suppose h = t*h + 65. What is the common denominator of -11\/2 and (1\/(-3))\/(3\/h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 907360 - 907363. Let w = -6 + 8. Let f = 0.27 + 0.03. What is the fourth biggest value in 5, f, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.5 (c) -1\/6 (d) -1.4 (e) 0.4 (f) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -642 + 639. Sort 57, 0, -4, x in increasing order.\nAnswer: -4, x, 0, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -47, 28.\nAnswer: -47, -4, -3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(4 + 2 - 3) + (13 - 12*t - 13)*(6 + 2 - 5).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c - 18 - 3 - 29. Calculate the remainder when a(-7) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from yooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36083697 is divided by 9020917?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (194\/(-2))\/((-10)\/(-5)) and -35\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.72 (b) -185 (c) -1\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132077246 and 532.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16782.3 + 16782. What is the nearest to -3\/5 in 2\/57, f, -15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 6*h + 30, -9 + 6 = h + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*j**6 - 3*j**5 - 6*j**3 + 86*j**2 - 65 wrt j.\nAnswer: 11880*j**3 - 180*j**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10) - (sqrt(1210) - sqrt(1210)*-1)))**2 + -3.\nAnswer: -1304\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -294 + 291. Let p = 7 + -3. Put p, 3, f in ascending order.\nAnswer: f, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 203 + -208. Calculate the remainder when 74 is divided by (-216)\/(-10)*1\/(-4)*a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njjjnjjjjnjj. What is prob of picking 2 j and 2 n?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + 1 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000 + -11101110?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100*-3.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) 5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 2*g. Let r(j) = j**3 + 2*j**2 + 14*j. Determine -r(m) - 4*w(m).\nAnswer: 3*m**3 - 2*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 801 = 7*v - 494. What is the remainder when 5001 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -541\/7 - -1217\/21. What is the common denominator of o and 32\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 p when three letters picked without replacement from ebepebppbbebbppbb.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1370, -1259, -1074, -815, -482, -75, 406?\n\"Answer: 37*n**2 - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -17. What is the second smallest value in v, -131, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 3. Let f be b(-2). Suppose 3 - f = -j. Suppose j = y - 0. Solve y*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -3 - 10 - 9) + -8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 3)**2 - sqrt(19) - (sqrt(19) - (sqrt(19) + sqrt(171)*1))**2)*-4.\nAnswer: -10296 - 284*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)\/sqrt(2) + sqrt(35))\/sqrt(5) + (-2 + (-2*sqrt(84))\/sqrt(12) + sqrt(7))**2.\nAnswer: 2*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 10, 22 + 47 = o - 5*p. List the prime factors of 3\/(92\/o + -2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/(h\/h**(-1\/26)*h*h) assuming h is positive.\nAnswer: h**(-235\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-eight fifths of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -782 - -793. Solve -4*r = l + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -418\/116315 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42834593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 9*q - 31. Calculate b(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1876724 (base 9) to base 2.\nAnswer: 100000001100000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 12*h + 14. Let f be b(-11). Let s(q) = -q**2 + 11*q - 10. Let z be s(10). Solve z*o = f*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*u = 7, -1042*u = 4*k - 1047*u + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*j*l - 12*j*x**3 + 33*l*x**3 + 7*l*x wrt j.\nAnswer: 42*l - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Suppose -2*i - 78 = 4*d, -999 = 4*d - 5*i - 900. Sort d, 2, k in decreasing order.\nAnswer: 2, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 192794146*c**2 + 4*c + 4. Let r be a(5). Let z = r - 24494496453445\/5082. Let j = z - -3\/847. Find the common denominator of -99\/8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 68764920\nAnswer: 27505968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -7*y**5\/60 + 5*y**4\/12 - 2*y**2. Let o(i) = 8*i**2 - 11*i. Let z = -3294 + 3287. Give z*p(s) - 6*o(s).\nAnswer: s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 10\/3*s**2 + 2\/3*s**3 + 14\/3*s = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 4*f + 16. Calculate the lowest common multiple of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 26*l = -4*r + 12, 4*r = l + 12. Solve -233*g + 234*g + 4 = l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 2, w: 11}. Give prob of picking 1 u and 1 w.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 411174 and 5603.\nAnswer: 5345262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**6 + 120*x**3 - 14*x**2 - 2*x.\nAnswer: -120*x**3 + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f**12*f))*f*f*f*f**2\/f*f)**(-43)*(((f*f**(1\/6))\/f*f)**(-9))**(1\/25) assuming f is positive.\nAnswer: f**(-40871\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 523431894.\nAnswer: 523431893.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19840687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 294176 to the nearest one thousand.\nAnswer: 294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*g + 1654 = 1674, -d = 2*g + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*n = -2408, 45*u - 44*u - 3*n - 475 = 0. Calculate the remainder when u is divided by 71.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 34*o + 6 - 176 + 4. Suppose -5*k + 55 = -0*k. Calculate the smallest common multiple of m(5) and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/18)*z)*z)**6*(z**(3\/4))**50)**2 assuming z is positive.\nAnswer: z**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000196456 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 138\/198 + 24\/(-66). Which is the closest to 3? (a) 2 (b) l (c) -1\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51101 - 433?\nAnswer: 50557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3063081601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 a when three letters picked without replacement from lfltfakekkea.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 n when four letters picked without replacement from jppppjpnjsnppjpp?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 2*d - 3*l - 546 = -471, 99*l + 144 = 5*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 498894 by -127.\nAnswer: -498894\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -1 - ((-12 + 25 - 24) + 17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 13. Let k be l(7). Let b be (-9)\/k - (-12)\/(-8). Suppose -7*q + 62 + 155 = b. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 485787205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5612 divided by 13755\nAnswer: -5612\/13755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*o**5 + 5*o**3 - 78287*o**2 - 66876286*o wrt o?\nAnswer: 240*o**3 + 30*o - 156574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/10 and -3\/314.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 5. Let b be y(0). Let o = b + -2. Is -1*(o - 2)*-53 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuubbbbb. What is prob of picking 2 b and 1 u?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + 248\/(-26) + 0\/10. Factor -2\/13*y**2 - 4\/13 - u*y.\nAnswer: -2*(y + 1)*(y + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-2)\/(-30))\/((-1)\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*w + 64 = -205*w - 202*w. Let r be 30*((-9)\/(-6) - 1). Sort r, 0, w, 5.\nAnswer: 0, w, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 63*w - 3100. Determine h(49).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.2? (a) 51 (b) -2 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 - 5*p - 3*p**3 + 10*p + 28*p**2 + 6*p**3.\nAnswer: 17*p**3 + 28*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01153153622 rounded to six decimal places?\nAnswer: -0.011532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-74)*(-23)\/(-46). Let o = 895 - 896. Is o at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/5*172*(-14)\/168.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 839521065 minus 187?\nAnswer: 839520878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1076 (b) -15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 646313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -1922*z**5\/5 - 8295*z**2\/2 - 4689. What is the second derivative of p(i) wrt i?\nAnswer: -23064*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5486 - 5483. Let y be 1\/4 + 182\/8. Suppose -y = -5*g + 2. Solve g*z = 4*m + 45, -2*z - l*m - 5 = -0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615010485 - 24522*q + 615010485 + 24520*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 21*l**2 + 15. Let f(k) = -4*k**2 + 3. Let t(c) = -c**2 + 1. Let v(i) = -2*f(i) + 7*t(i). Let a(m) = -q(m) + 15*v(m). Let j(w) = 2*w**2. Give j(a(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -118, -188, -260, -334, -410?\n\"Answer: -y**2 - 67*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4010968 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, c: 2, b: 3, k: 2}. Give prob of sequence bb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + (1 - 3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -65740000 to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 1)\/(6 + -7) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (8 + (-3)\/((-18)\/(-102))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = -90. Let a = 19 + i. Sort a, -1, 0.\nAnswer: -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = -4*n, 4*s - 3*n = 7*s. Let t = -152\/1581 - 2\/93. Let i = -4.128 + 0.128. What is the biggest value in i, t, s, 0.9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.83122314 to 4 dps.\nAnswer: -2.8312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-66)\/(-22))\/(-2*(-2)\/164)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 51*r + 233. Let c be y(46). Solve -5*s + 20 = 0, l + c*s + 1 - 11 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*u**4 + 546*u**3 - 9100*u**2 + 45552*u + 19712 = 0. What is u?\nAnswer: -2\/5, 11, 16, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15683 times -0.00416\nAnswer: 65.24128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1*1*-2). Suppose s + 3 = -3*c. Let f(j) = -4*j**3 - 6*j**2 - 4*j - 5. Let q(g) = -12*g**3 + 1 - 10*g + 11*g + 13*g**3 + g**2. Give c*f(w) - 6*q(w).\nAnswer: -2*w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -4131432?\nAnswer: 4131420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -2*r**5\/5 + r**2 - 3. Let j(z) = z**4 - z**3 + z**2 - z. Let g(o) = -3*j(o) - s(o). Factor g(p).\nAnswer: -p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 776850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -360*p**5 + 349*p**5 - 261*p**5 + (-p + 2*p + p)*(-p**3 + p**3 - p**4) - 2*p**2 + 2*p**2 - p**5.\nAnswer: -275*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*(1 + -3). Let b be 3 - (4 - 0) - i. Suppose z = -b*z + 15. Solve -12 = 3*j + z*w, -5*w - 3 = -j - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 6)*(-86 + 40 + 7)*(4 - 6 + 17)*(-2*q - 2*q**2 + 2*q) in the form r*q + b + a*q**2 and give a.\nAnswer: 5850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 13. Let k(x) = -x + 11. Is 6 a factor of k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 - (186 + -213 + (-4 - -43)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - k + 15. Suppose 0 = 3*p - 5*w + 15, w = -3*p + 10 - 7. What is a(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14250.941265 - -14251. What is r rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -752, -3\/4, -201, -0.5, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = d, -2*q + 3 + 3 = 2*d. Suppose 0 = -u + 1 + 1. Calculate the remainder when ((-2)\/(-4))\/(u\/28) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:52 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22895 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20525.04498 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/208 and 113\/538760.\nAnswer: 14007760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 0.2 (b) -4 (c) -5.2 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1850*f - 1833*f - 714. Solve 15*h = -33 - f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttf when three letters picked without replacement from tftt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67310318?\nAnswer: 2, 53, 635003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 2*n**7\/21 - 2*n**6\/5 - n**5\/5 + n**4 - 691*n - 2. Solve x(j) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -6) + -75 + (-26 - -52)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*x**2*z + 7096*x**2 - x + 96644*z - 3 wrt x.\nAnswer: -118*z + 14192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96135342.\nAnswer: 2, 3, 97, 165181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 1:52 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 443.8, -27002, 1\/7 in decreasing order.\nAnswer: 443.8, 1\/7, -27002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3 + 3*x + 0 + 3\/2*x**4 - 3\/2*x**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*u**3 - g*u + 5*g - 6*u - 23 with respect to u.\nAnswer: 6*g*u**2 - g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3450.93078 - -3451. Round z to 3 dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p + 10 = -5*f, 2*f = -3*p + 15. Let y be (p - (0 - -4))\/(-1). Are y and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/61 or 0?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34853136 divided by -8.\nAnswer: 4356642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*c - 2 = 3*f, 5*f + c = 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161660 divided by -40415.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2084 - -1657. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -2. Let h = -0.6 - -0.94. Let n = -0.04 + h. Which is the biggest value? (a) -0.4 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*l - 8 = 0, 5*y + 0*l - 12 = 4*l. Calculate the common denominator of (1\/(-8))\/(1\/(-83)) and 15\/150*(-146)\/y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**3 + 6219*a**2 + 339013*a?\nAnswer: -54*a + 12438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71086.96 centuries in millennia?\nAnswer: 7108.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:15 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 63928492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27150570 not equal to 27150569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzjzzjjjz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -16*(-3 + 4). Let j be (-1)\/(0 + 3\/(-6)). What is the highest common divisor of p and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 2*b**2 + b - 2. Give o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 510185013464 - 6.6\nAnswer: 510185013457.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-8))\/(i\/(i\/(i\/(i*i**(-17)\/i)))*i) assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1793.439*-6\nAnswer: 10760.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/12)\/(4\/192). Let w(z) = 6*z**2 + 25*z + 30. What are the prime factors of w(r)?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -159, -0.4, -98 in increasing order.\nAnswer: -159, -98, -0.4, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 36*x + 41*x - 10*x**2 + 3 + x**4 - 79*x + 3*x**2 to the form b*x**4 + p*x**3 + g*x + d*x**2 + l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.4535km in millimeters?\nAnswer: 196453500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by 8.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3114 and 107\/241236.\nAnswer: 41733828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 759854.1 * 0.4\nAnswer: 303941.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:09 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 3*a**2 + 3*a + 92 - a**3 + a - 7*a - 97 + 2*a**4 to o + m*a**2 + s*a + i*a**3 + k*a**4 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/63 - 17\/63. Put v, -23, -0.5, -2 in increasing order.\nAnswer: -23, -2, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -62.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 19*i = -3*m - 21, m + 11 = 2*i. Suppose -4*s - 3 = 3*z, 0 = 2*z + s + 2 - 5. Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4933934 or 4933932?\nAnswer: 4933934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 7 + 1 - 23*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 - 182*f - 5452\/15.\nAnswer: -2*(f + 2)*(f + 1363)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - -2. Suppose 0 = j*h - 4788 + 1834. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*h + 461 = 0, 3*h - 128 = r - 2*r. Calculate the greatest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2846*s + 2866*s + 6 to the form k + i*s and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -194 - -213 - 909\/48?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.664 * -37.54.\nAnswer: -1000.96656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-252)*6*(-7)\/(-15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6175 + 71655?\nAnswer: 63460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1 - 1 = -2*c, 4*c + 3*y = 4. Suppose 0 = -z + 3 - c. What is the first derivative of -8*k**2 - 8*k**4 + 5*k**z + 3*k**2 + 11 wrt k?\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 356984334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3, 4, 1.\nAnswer: -3, 1, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 23*l - 70521 = 24*l, -3*l = 5*f - 352581. List the prime factors of f.\nAnswer: 2, 3, 7, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-6 - (-6 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5 + 1 + 8*c + 4. Let o(m) = -48*m**2 - 46*m**2 + 101*m**2. Determine b(o(h)).\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + (-1)\/1*-5)\/(11\/112152700). What is s rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26393 is divided by 1827.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.0683 times 83337.9\nAnswer: 5691.97857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 5*(-4*(-1 + sqrt(11)) - (sqrt(704) - sqrt(704)*2))**2).\nAnswer: -961 - 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19750699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 3*q - 4*q)*(6 - 3 - 2)*(984*q + 3491*q + 736*q) as p*q + u + m*q**2 and give m.\nAnswer: 5211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169367 is divided by 873.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6421881?\nAnswer: 3, 2140627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 5*i - 72. What is the closest to 0.1 in i, -1\/2, 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 923, -3437 in ascending order.\nAnswer: -3437, -10, 923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31570 - -50020. List the prime factors of z.\nAnswer: 2, 5, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-2))\/1 - 867\/119.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-8))\/5*0. Suppose m = -165*q + 163*q + 58. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534101 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -11*g + 147. What is the greatest common divisor of g and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 + 3*l**2 + l - 3. Let q(t) = t**3 + t**2 - 1. Let g(o) = -3*q(o) + z(o). Let u(m) = 4*m**3 - 2*m**2 + 6*m - 1. Determine -6*g(k) + u(k).\nAnswer: -2*k**3 - 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 3. Let u(l) = 1. Let o(b) = -b**2 + 14*b - 10. Let y be o(13). Give y*u(d) + g(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -8*x**3 - 222*x + 7388*x**2 + 72 + 50*x**3 - 7505*x**2 = 0.\nAnswer: -3\/2, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Suppose -2*w + 15 = g*w. Suppose 0*n - w*r = 2*n + 2, 0 = -3*n + 2*r + 23. Solve 3*k = 5*k + n*x, 2*x = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-40) - 2\/4. Let h = 18.3 - 18. What is the third biggest value in 2, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -22*d**3\/21 - 174*d**2\/7 - 1040*d\/7 - 8609. Factor o(j).\nAnswer: -2*(j + 4)*(11*j + 130)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*n**2\/7 - 234*n\/7 - 4.\nAnswer: 2*(n - 7)*(17*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 24191125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 3*f = -13*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k + y - 8, -23 = -2*k - 5*y. What is the least common multiple of (-50)\/(-18) + 2\/9 and k\/4 + 13\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = -2*v, o + v = 4*o - 21. Let w = o - 4. Factor -7*k**4 + 2*k**4 - 2*k**5 + k**4 + 4*k**w + 2*k.\nAnswer: -2*k*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 82 = m + 87, 4 = 4*f + 4*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*h + 77 = 0, 9*u + 22*h - 19*h - 93 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2306 = 2327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6 - 7*s - 12 + 5. Let g(b) = 3*b. What is -5*g(m) - 2*r(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*p + 30652 = t + 94*p, -4*p = 12. What are the prime factors of t?\nAnswer: 5, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -805070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*q + 49 = 0, 0 = b - 2*q - 16 + 5 - 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4 + k**2 - 5 + 0*k**2. Let v(i) = i - 9. Let s be (21\/(-6))\/((-2)\/4). Let c be v(s). What is w(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 1085 + 19*v**2 - 1088 + 17*v + 0*v**3. Let c be x(-18). Solve 0 = 2*i - d - 4 - 1, 4*i - d - c = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y - 1011*y**2 - 2789*y**4 + 2763*y**4 - 25*y**3 + 1004*y**2 - 2*y**6 wrt y?\nAnswer: -240*y**3 - 624*y - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 22287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1024112541 and -1.24?\nAnswer: 1024112539.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-119)\/42)\/(-17) + 94\/12. Suppose -3*o = -a*o + 25. Find the third derivative of 29*u**3 + o*u**2 + 30*u - 30*u wrt u.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + sqrt(57)\/sqrt(108) + sqrt(19) + 3)*-1.\nAnswer: -19*sqrt(19)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -34. Suppose p - 5*q + 19 = -2*p, -35 = -5*p - 5*q. Factor 0*s - 4\/3*s**3 + 2\/3*s**p + 2\/3*s**r + 0.\nAnswer: 2*s**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9398*c**3*r - 4*c**2*r - c - 356 wrt c.\nAnswer: -56388*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 961260\/58455*(-9)\/(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11813760 and 4620?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91274?\nAnswer: 2, 47, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1282 - 510*a**2 - 564 + 1006*a**2 + 4073*a**3 - 496*a**2 wrt a.\nAnswer: 12219*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-1341) + 0)\/((-144)\/792 + (-51)\/22)?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5\/2, -1364, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-55992)\/(-16))\/(30\/20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 43*g - 1190. What is the highest common divisor of g and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29199 is divided by 471.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immiiiimmmiiimmimm. Give prob of sequence im.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + 8 - 13*q**2 + 25*q**2 - 7 - 15*q**2 to c + u*q**2 + a*q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1913 <= -1913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 + 193. Let r = b + -86. Suppose -125 = r*u - 525. Calculate the highest common factor of 25 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32500194 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 4, 2\/5, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9871 + 13.9871. What is the nearest to -1 in 8, z, -37?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a*t**4 + 44*a*t**3 - 26*a - 38*t**2 - 366 wrt t?\nAnswer: -16*a*t**3 + 132*a*t**2 - 76*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j - 20 = 0. Let h = j - -7. Solve -r + 0*r = 2*w + h, 4*r - 6 = -w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -273, -603, -1085, -1725, -2529?\nAnswer: -3503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 5*s**2 + 5*s**2 - 2*s**2 + s + s**2 - 37*s**2 + 0*s**2 + (3 - 1 + 0)*(3*s + 2*s**2 - 3*s).\nAnswer: -34*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {j: 9, h: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(2*u - 7*u - 9*u)*(-u**4 - u**4 - 3*u**4).\nAnswer: 140*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/9)\/(85\/(-51)). What is the third biggest value in c, -101, 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 3, -7, 0.1, -0.14, -0.16 in ascending order.\nAnswer: -7, -3\/4, -0.16, -0.14, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from akkeakekkakke.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*g - 63*g - 24*g.\nAnswer: -159*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*q**6 + 2*q**3*z**3 - 3*q**3*z - 5*q**2*z**3 - q**2 + 396*q*z**3 wrt q?\nAnswer: 1560*q**3 + 12*z**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -2. Suppose 0 = 3*z - 12, 0 = 5*g - 5*z - 0*z + 5. Suppose -7 - 26 = -g*j. Solve 2*v - a = q - 0*q, 3*v = -5*q - j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2623*x - 274*x = -18792 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 14. Let o be ((-8)\/(-10))\/(2\/(-5)). Let n = a - o. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c - 3. Let v be n(3). Solve 0 = -v*b - 1 + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 1064773?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 4. Let q = 1.1 + 5. Let b = 10.1 - q. What is the closest to b in -1\/2, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - k - 13 = -0*k, k = t + 13. Which is smaller: -16 or t?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-3)*(-1)\/(-4)*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/220 + -1\/44. Let h = 0 - -1. Suppose 5 = 3*a - h. What is the biggest value in a, s, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 1. Let s(p) = -p - 1. Give 4*s(h) + 5*u(h).\nAnswer: 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*p - 10 = -2*p, 2*k - 3*p - 1 = 0. Are k and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -40*m**2 + m + 1. Determine z(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 16 = -p. Let r = -6 - p. Let c = r - -3. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -91*o**8\/24 + 259*o**5\/30 - 1535*o**2. Find the third derivative of a(g) wrt g.\nAnswer: -76440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 + 1 = 0. Let s(d) = d**3 - d**2 + 7*d + 2. Let v be s(c). Factor -72*o**4 - 84*o**2 + v*o**2 + 38*o**2 + 20*o**5 + 48*o**3.\nAnswer: 4*o**2*(o - 2)**2*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 1909 - 1917 + 3826.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, 2\/13, 899233 in descending order.\nAnswer: 899233, 2, 2\/13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 101*y - 47. Let k = 79 + -59. Is p(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/11)\/a)\/a**7*((a*a*a**(-27\/4)*a*a)\/a)\/(a*a\/a**(3\/2)) assuming a is positive.\nAnswer: a**(-519\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 292 = 2*u + 2*i, -4*i - 116 = -u. What is the greatest common factor of u and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -9*o + 1\/3*o**3 + 5\/24*o**4 - 1\/60*o**5 + 1\/2*o**2 + 0. Let m(n) be the first derivative of i(n). Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/107?\nAnswer: 6\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.13232086 + 124905385.13232086. Let w = 124905372.5000126 - q. Let d = -10.5 - w. Round d to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186411, -372812, -559203, -745578, -931931, -1118256?\nAnswer: -1304547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95\/6 + 33\/2. Put -2, 4\/3, o, 1\/3 in increasing order.\nAnswer: -2, 1\/3, o, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -13*h - 462. List the prime factors of (-2)\/(8\/h)*2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 4)*3\/15. Let f = 0 - -0.2. Which is the closest to y? (a) f (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.8 + -37. Let x = 5 + o. Let y be 10\/6*2\/5. Which is the nearest to 0.1? (a) x (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5773900 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2439 + -2456. Let x(m) = -8*m**2 - 6*m + 6. Let p = 9 + -15. Let b(q) = 23*q**2 + 17*q - 17. Calculate o*x(k) + p*b(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3350791 and -15.\nAnswer: 50261865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 + 171.071. Let a = 0.07099967 - q. Round a to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/1*2. Suppose -2*q = -5*q + m. Let r(h) = -h**2 - 2*h. Calculate the remainder when r(-1) is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 2.5394311.\nAnswer: -2.7394311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 4*o**5\/5 + 6*o**4 - 116*o**3 - 992*o**2 + 2304*o + 2274. Let x(v) = 0. Calculate v.\nAnswer: -8, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -86*c. Let y(z) = -41*z. Calculate 6*d(v) - 13*y(v).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:08 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(160)*4 - sqrt(160))\/(sqrt(22)\/(sqrt(1331)*2)).\nAnswer: 616*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1354, -5404, -12180, -21712, -34030?\nAnswer: -49164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543719283?\nAnswer: 3, 409, 443129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 86 = 23*n, 2*h - 3 = 3*n + 3. Sort n, 5, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5553\/210883 + 4\/929. Put t, -4, -0.2 in ascending order.\nAnswer: -4, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 812 (b) -1\/6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1621.8144 months?\nAnswer: 0.1351512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-197*d - 29 + 29)*(4*d**2 + 34*d**3 - 4*d**2) as r*d**4 + v*d + x + m*d**2 + a*d**3 and give r.\nAnswer: -6698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwowowowwwowow. What is prob of picking 3 w and 1 o?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -8, -11, -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*q + 58, -5*n + 4*n + 6*q + 64 = 0. What is the greatest common factor of n and 10778?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -10416*w - 4\/5*w**4 + 716\/5*w**2 + 168\/5*w**3 - 76880 = 0.\nAnswer: -10, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkgggtkkggcgkkg. What is prob of sequence kkk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -68517 divided by -993\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*44\/143*(-390)\/(-60).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -126.5825 times 0.48\nAnswer: -60.7596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(6\/11)\/(m**(1\/9)\/m)*(m*m**15*m)\/m**(-15) assuming m is positive.\nAnswer: m**(3310\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 2. Let k be y(6). Let z(l) = -l**3 - 4*l**2 + 5*l - 552. Let a be z(-10). Put -5, a, -3, k in decreasing order.\nAnswer: k, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:28 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b - 28573 = -28607, 4*m - 65 = 17*b for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 504633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453 + 480. Suppose 26 = v - 4*f, -4*f + 34 = 5*v - 0*v. Calculate the remainder when z is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -36) + (6 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, x: 4}. What is prob of picking 1 m and 3 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -974.4\nAnswer: -97.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 + (-21)\/(-45)*3. Suppose 3*i - 7*i = -12. What is the units digit of i\/t - (-3 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71454 (base 8) to base 5.\nAnswer: 1420414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3722 and 5583?\nAnswer: 11166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/10*(-8)\/10. Let r(q) = 1 + 7*q**2 + 9*q**2 - q + 3*q - 15*q**n. Let t(g) = -2*g**2 - 5*g - 2. Give -5*r(v) - 2*t(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzjzebjjjzzzz. Give prob of picking 1 b, 1 e, and 1 z.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p**2 - 4*p + 2. Let r = 0 - 1. Let b be -3 - (-6)\/(-1)*r. Is 12 a factor of x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - 44?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760 and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54020 and 90?\nAnswer: 486180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 10, m: 2, x: 7}. What is prob of sequence xxz?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 4*y**2 - y**2 - 4*y + 4*y**2 + 3. Let x be p(-9). Solve 31 - 6 = -4*w + x*v, w - 2 = -2*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 10 = 23*t. Let w be 37\/(-13) + (-16)\/(-16) - t. Suppose w*d**4 + 0 + 10\/13*d**2 - 4\/13*d - 8\/13*d**3 = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 309 from 3214.926.\nAnswer: 2905.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 90, 130, 168, 204, 238, 270?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 49 + 9 = 46*k - 18*k - 2*y, 3*k - 9*y = -87 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 30 - 40. Let o be 16 + (-1 - 2) + 12 + d. Solve 0 = -5*j + o, -4*u - 6 = -6*u - 2*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1114.995376 + 1115. What is g rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3722863, 7445723, 11168583, 14891443, 18614303, 22337163?\nAnswer: 26060023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*n + 30 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxtot. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/120 + o**5\/12 - o**4\/4 + o**3\/3 - o**2. What is the units digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*h - 3271 = h, -3*w - 5*h = -9843. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*l**3 - 262*l**3 - 216*l**3)*(-4*l - l - l) as r*l**3 + u*l + x*l**4 + c*l**2 + p and give x.\nAnswer: 2922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+342496.5\nAnswer: 342496.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-16)*1 - (-1042)\/(-8). Let g = p + 85. Is (15\/g)\/(1\/(-69)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(475)*1 - sqrt(475))) + -1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -44*4*(-10)\/40. Let r(s) = -s + 5*s - 3*s + 1. Suppose -2*g - 14 = x, g = -4*x - 28 + 7. Let v(n) = -n**2 + 11*n + 11. What is p*r(k) + x*v(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/4)\/((-2)\/(-8)). Let t = 42 + -23. Let d = i + t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u - 100. Let q be j(8). Find the common denominator of q*(-2)\/(-448) + 12\/(-21) and -3\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -3, 11, 1, 2 in increasing order.\nAnswer: -64, -3, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -515, -976, -1373, -1706?\n\"Answer: 32*o**2 - 557*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/16 and -7\/246.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)*(8 + -3 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 11467978.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/3, -30, 10\/17, 0, 0.12, -45?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4756, 9333, 13732, 17953, 21996?\n\"Answer: -89*n**2 + 4844*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 30370*n**2 + 1087335*n - 2988810.\nAnswer: 5*(n - 6038)*(n - 33)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, -762\/133, 23, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -188, -377, -570, -767?\n\"Answer: -2*l**2 - 183*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -1\/2*x**2 - 1 - 1\/4*x**4 + 1\/3*x**3 + 0*x. Let c be f(0). Do -1\/4 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2468649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -387947361 and -16972.\nAnswer: -387964333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 359682.6 take away 0.0605?\nAnswer: 359682.5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2489085 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-12)*(-9)\/(-3). Which is greater: 30\/19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 6. Let z be q(0). Suppose 10 = u + 2*n, u + 4*n - z*n = -6. Let s be 1\/2*12\/1. Solve 3*f + 4 = -c, 3*f - c + u = s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/17 + -13\/34. Let f(w) = -63 - 70 + 2*w + 131. Let x be f(0). Is x smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2962904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*w - 4*w**2 + 352*w - 210*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qefpeqfqqqqe. Give prob of picking 1 p and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:44 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 0.3. Let u = 0.044 + -35.044. Let o = 31 + u. What is the third biggest value in 5, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 v when three letters picked without replacement from {v: 2, y: 1, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -7*p**8\/2 + 37*p**4\/12 - 10*p + 1. Find the third derivative of r(l) wrt l.\nAnswer: -23520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1)\/1 - (-4 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*m + 83*m**3 - 75*m)*(3*m + 0*m - 6*m + (2*m + 3*m + m)*(-3 + 1 + 4)).\nAnswer: 747*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:24 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 63. Suppose -3*w + r = 9*u - 4*u, -u + 15 = w. Let t(j) = 6*j - 132. What is the remainder when t(32) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*k = -86, y = -7*k + 2*k + 44. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0*c)\/(c*c\/((c*c*c*c**(-3\/5)*c)\/c)))\/(c**(-6)*c*c**(-1\/2)*c) assuming c is positive.\nAnswer: c**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -31 + (-5 - -1) - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1750 and 6198375.\nAnswer: 86777250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 3:56 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -19258.\nAnswer: -4\/9629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 44, 114, 212?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*-3*4 + sqrt(504) + sqrt(504) + (sqrt(504) - -4*sqrt(504)*2))\/(((sqrt(32) + 2*sqrt(32) + sqrt(32))*-2)\/(sqrt(4)*2*-4)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1373540 and 2646.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 3 + 0 - -4. Let j(t) = 1 - i + 0 - t + 6. Calculate j(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79483 is divided by 724.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 smaller than -20\/9569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/42 + 236591\/(-17304) - -14.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 7. Let v be u(6). Let h = 1 + 2. Let f = -3.1 + h. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 10*u - 13. Let v be c(2). Let b = 69 + -68.5. What is the nearest to 1 in -5, -7, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 1 - (109 + -117)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266858*v - 127940*v - 138927*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1377 and 86\/357?\nAnswer: 9639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59.74 + -175109648.\nAnswer: -175109707.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20854*c**4 - 353*c**2 + 23057*c**4 - 2714*c**2 wrt c?\nAnswer: 52872*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1963*s**3 + 34 - 9983*s**2 + 19941*s**2 - 10020*s**2 wrt s?\nAnswer: 11778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 22. Solve -t = 4*r - 0*r + j, 3 = -3*r + 3*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, g: 2, i: 5, t: 2, d: 7}. Give prob of picking 1 t and 3 x.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1851336668.\nAnswer: 2, 19, 4297, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11199 = -986*v - 13171 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2*4\/(-6). Calculate the common denominator of 1\/v - 183\/6 and 250\/200*(2 + 20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times 2067\nAnswer: 227.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c + 0*c + 0*c - c + 4*c - 4*c - 2*c + (-4*c - 2*c + 5*c)*(4 - 2 - 3) - 56 - 2*c + 56)*(-6*c + 3*c - 2*c).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + -37. Let t = d - -60. Let l(q) = 2*q**2 - 8*q**2 + q**t + 0*q**2. Let g(h) = 8*h**2. What is g(l(p))?\nAnswer: 200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 + 10179*i**2\/4 - 25867347*i\/4 - 181570543\/4.\nAnswer: -(i - 5093)**2*(i + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151470 and 324720?\nAnswer: 49682160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15048545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1350)\/(-108)*32\/240*1*-18?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1540, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 816557377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 10*v**2 + 9. Let z be y(10). Let i be z*1\/(-2)*340\/(-51). Are 31 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)*s)**29*(s**(-1\/2))**(-2\/105) assuming s is positive.\nAnswer: s**(2176\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -58?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*r*x**3 + 2*l*r*x**2 - 3*l*r*x + l*x**3 - 14829989*l + 16758*r*x**3 - 563*x**3 wrt x?\nAnswer: -6*l*r + 6*l + 100548*r - 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/9)\/w)\/w)\/w**7)\/(w**(-1))**7*(((w*w*w\/(w**1\/w))\/w)**(7\/13))**(8\/7) assuming w is positive.\nAnswer: w**(-116\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (-5*(sqrt(704)*1 + -5 + sqrt(704))*1*6)**2.\nAnswer: -144000*sqrt(11) + 2556902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 - 8877*q\/4 - 2198355\/2.\nAnswer: -3*(q + 629)*(q + 2330)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 3*o**2 - 2 - 4*o + o**5 - 3*o**2. What is the first derivative of c(j) wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -11. Let u(s) = 3*s + 7. Let d(z) = 3*z + 7. Let v(i) = b*d(i) + 4*u(i). What is the tens digit of v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -212692.99, 2\/9 in ascending order.\nAnswer: -212692.99, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144603447 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 229 + 54 - 25 + 0*z**2.\nAnswer: z**2 + 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide (-14712)\/4*(-3)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4568869*p - 9934068 with respect to p.\nAnswer: 4568869","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31)\/1612*(3 - (-15)\/(-3)). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 8. Suppose a*w - w = -20. Let i = w - -12. Solve -i = m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11\/(-6))\/11)\/(9 + -30 + (-1914)\/(-44))?\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 23*c**3\/3 + 119. Let l(g) = 2*g. What is k(l(q))?\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(32\/6)*-28. Let f = s + 21. Suppose f*q + 205 = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = -3*n + 2*t, 2*t = -4*n + 16. Solve n*w = 5*r + 9, -3*r - w - 27 = 2*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 248286 + -97?\nAnswer: 248189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/(-84)*(-320)\/(-4140)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/90*(-6)\/(-558)*-3?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -28*m**3 - m - 823. Let h(q) = 7*q**2. Give h(x(z)).\nAnswer: 197568*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 6. Suppose -21*g + 8 = -17*g. Let c(p) = 4*p - g + 3*p - 3*p - 5*p. Determine 17*c(x) - 6*k(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = -m - 1, 5*k = -4*m - 6. Is 11 a factor of 62 + (m + 1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 75*x + 187. What is the remainder when y(7) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12301332 (base 4) to base 9\nAnswer: -42080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 25*s. Let j(i) = i**2 - i - 899. What is j(a(d))?\nAnswer: 625*d**2 - 25*d - 899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -79256691 >= -79256692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddnddddnddd.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11995670 - -32529670. Round c to the nearest one hundred thousand.\nAnswer: 20500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6*y + 401 = 5*i, 0 = -2*i - 4*y + 170. Suppose 0 = -4*l + p + 39, 2*l + 0*l - 30 = 4*p. What is the greatest common divisor of l and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397 is divided by 173?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)\/q**(1\/3))**1*((q**(-2\/3))**(-12))**(-10) assuming q is positive.\nAnswer: q**(-247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 34. Determine c(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17199 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -902542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 2*p**2 + 5 - 4*p**2 + p. Let s(z) = 2*z**2. Give s(h(v)).\nAnswer: 72*v**4 - 120*v**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, m: 7}. What is prob of picking 3 m?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.7307 tonnes in micrograms?\nAnswer: 974730700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 450130213*n**3 + 240006866 wrt n.\nAnswer: 1350390639*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.05 (b) -4629.8 (c) -2 (d) -3\/7 (e) -2\/11 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewvpswvsvwsvvs. Give prob of picking 1 s and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10678 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -1 + 6. Suppose 5*j + 4*r - 11 = 0, -5*j + 1 + 11 = 3*r. Find t such that -6 - 2*t**3 + 2*t**j + 6*t**4 + 4 - 4*t**2 - 2*t**x + 6*t - 4*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 92*r + 11. Let m be n(3). Let k = 561 - m. Is k a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172078?\nAnswer: 2, 97, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76352330 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n. Let d(g) be the second derivative of -5*g**3 + 164*g + 1. What is d(y(w))?\nAnswer: -90*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158028 is divided by 158016.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*r + 3*r - 142, 5*r + 5*b - 160 = 0. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 940\/70 - 13 - (-2)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-16) + (-2)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -91, -99, -107, -115, -123?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -14a?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4284 by -44583.\nAnswer: -204\/2123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 + 7*h - 5. Let m(j) = -2*j**3 + 3*j - 2. Let g be 4\/22 + 175\/(-55). Let l be 2\/g*(2 - 5). What is l*r(x) - 5*m(x)?\nAnswer: 2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (243\/162)\/((-150)\/(-8))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lonpkplnll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44098 divided by 34?\nAnswer: -1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 31 = 11. Suppose 0 = z - a*f + 350, 5*z = 7*z - 4*f + 688. Round z to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1732*w + 1270*w = 42028 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4762312 and 608?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1739, 3482, 5227, 6974, 8723, 10474, 12227?\nAnswer: 13982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from eeeeeeefefee.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 l when four letters picked without replacement from chchmmlhmlhmcclmm?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.116 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3941, -7869, -11777, -15653, -19485, -23261, -26969?\n\"Answer: 2*q**3 - 2*q**2 - 3936*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 12, -l + 6*a = 2*a - 17. Suppose 2*c - 2*x - 44 = -2*c, -c + 4*x = -25. Calculate the remainder when l is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let u(f) be the third derivative of 7*f**5 - f**3\/3 - f**2 - 118. Determine k(u(n)).\nAnswer: 176400*n**4 - 1680*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181139*r**3 - 119938*r**2 wrt r?\nAnswer: -1086834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1145 - -1144.6. Sort m, 0.1, 0.2, 4\/7 in descending order.\nAnswer: 4\/7, 0.2, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.18. Let i = -4.32 + s. Let u = i - 0.7. Which is the third biggest value? (a) 0.4 (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - ((17 - 23) + -1 - -16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p**2. Let l(s) = s**2 - s. What is -i(w) + 2*l(w)?\nAnswer: -9*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/(x*x**20)*x*x**(-2) assuming x is positive.\nAnswer: x**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28792, -57605, -86432, -115273?\nAnswer: -144128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -4. Let y be 4\/(-14) + a\/14. Let w be 76\/6 - y\/(-3). Solve 2*o - d - 1 = -2*d, 4*d - w = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 11. Let i be p(9). Suppose -50 - 148 = 5*b - 2*n, -2*n = i. Let q be (-3)\/(-2)*b\/(-15). Solve j + q = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 151614 = 5*r - 151726, 2*c = -r + 10 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.63, -2\/7, -0.1, 3, -3\/2?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let y(l) = -5*l**2 + 8*l + 16. Let h(w) = 4*w**2 - 7*w - 14. Let o(k) = -8*h(k) - 7*y(k). Give o(f(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)\/(s\/(s**(-5)*s)))**(2\/81))**(-21) assuming s is positive.\nAnswer: s**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -60. Suppose -5*y = 0, y + 24 = n*g - 0*y. What is the smallest common multiple of g and 23?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213864714*j**4 - 396328595*j wrt j.\nAnswer: -2566376568*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3268 + 3268 - 3*a - 126*a.\nAnswer: -129*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/5? (a) -0.2 (b) 38 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 + 0*r**2)*((4 - 4 - 2*r)*(-5*r + 4*r + 0*r) + (-1 + 2 + 1)*(0*r**2 - r**2 - r**2)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*w - 33, -4*w - 3*s = -s - 24. Suppose 0*x = 5*x. Solve 0 = -3*p + 5*p + v + 6, x = w*p - 3*v + 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121022221102 (base 3) in base 11?\nAnswer: -532872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138957 <= 138957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 39. What is the smallest common multiple of 3 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 44*x**2 + 8*x + 5. Is o(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l**3 + 7*l**2 - 6*l. Let n(f) = 10*f**3 - 8*f**2 + 7*f. Calculate 5*n(b) + 6*o(b).\nAnswer: 2*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488971975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 21, 97, 247, 495, 865, 1381, 2067?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -6*j - 4, 4*j + 60412 = 3*q. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/62064 and 41\/2.\nAnswer: 62064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + (1 - 1)) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 7*d**2 + 3. Let f be w(-7). Find the common denominator of 53\/16 and f + (-4)\/(-64)*-17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 732\/7 + -104. Factor -4\/7*k**3 + 0 - z*k - 8\/7*k**2.\nAnswer: -4*k*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + 2*p**5 + p**5 + 3*p**5 - 3*p**5 - p**5 + (0*p + 0*p + 2*p**4)*(3*p + 4*p - 5*p) - p**5 + p**5 + 2*p**5 - 3*p**5 - p**5 + 2*p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 7:38 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u**4 + 5762*u**3 - 1432*u**2 - 5762*u + 1440 = 0. What is u?\nAnswer: -1, 1\/4, 1, 720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11812 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -45*l**5 + 710*l**4 + 1150*l**3 - 3740*l**2 + 1415*l + 510 = 0?\nAnswer: -3, -2\/9, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/154 + 1\/14. Let c = 2 - 1.97. Let x = c + -0.23. What is the second biggest value in g, 0.4, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((((sqrt(100) - (sqrt(100)*1 + sqrt(100))) + sqrt(100))*6)\/sqrt(4))\/(sqrt(40)\/((sqrt(80)*1)\/sqrt(10))) + 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110101110101111 - 1110?\nAnswer: -101110101110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6 - 13 + 1 + 15*g - 20 + 9*g**2. Let y be a(11). Suppose 5*r = -5*f + 1220, -6*r + y = -r + 3*f. Is 31 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -333 + 434 + -9 + -3 + (10 - 2).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86 and 5?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.3 (c) 1007\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 18. Let o = 24 - 14. List the prime factors of h(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2dd (base 16) to base 9\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3521484392 to the nearest integer?\nAnswer: 59342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 203*k + 32 = -198*k, 3*g + 4*k = -23 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1328 + 1344. Calculate the lowest common multiple of f and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -925.1784142 - 0.0595858. Let y = -926 - v. Round y to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6 + 4*v - 8*v + 5*v. Calculate a(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -653, -602?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114401\/16 - 7147. What is the common denominator of -37\/22 and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -542004116 - -2?\nAnswer: -542004114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -3)\/1 - 1. Suppose 0 = -2*y - f*y + 4. Let b be (2 - (1 + y))*-1. Is 2 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113435 - -4?\nAnswer: -113431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.822 and 0.2.\nAnswer: -2.1644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-27)*-42*(-2 + -13). Which is greater: i or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1940341088?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 94. Calculate n(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(10*(-1)\/1). Suppose 375 = 3*z - q, 11 = 4*q - 1. Let i be (-8)\/z + (-4)\/(-14). Which is the nearest to p? (a) 4 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*b**2 + b**2 + 24 - 2*b - 15 + (-4*b + 2*b + b)*(-1 + 1 - 5*b) - b + b + b**2 + 0*b**2 + 3*b**2 - b**2 to the form x*b**2 + v + d*b and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((198\/81)\/1)\/((-8)\/12). What is the second smallest value in k, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = -33*b - 883 + 2692 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8099 is divided by 88.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.17 (b) -0.3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 59*q + 37. Let k(y) = 20*y + 11. Let v(p) = 7*k(p) - 2*o(p). Let d(x) = x**2. Calculate v(d(c)).\nAnswer: 22*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 35 = -0*y + 5*y, -3*y + 5*v = 3. Suppose -y = -0*t - 2*t. What is the third derivative of t*c**2 + c + 3*c**3 - c wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/3, -4, -1, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 14*m**2 - 52*m - 16. Calculate the remainder when 310 is divided by y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1171825 + -21?\nAnswer: -20.8828175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4447726 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -715*a. Let w(u) be the first derivative of 65*u**2\/2 + 3707. Give -6*l(f) - 65*w(f).\nAnswer: 65*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19403 is divided by 346.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:03 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five halves of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:29 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133312 (base 7) to base 16.\nAnswer: -626b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9460 and 11365244?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29039*o + 6107 = 28842*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189.8 - 189.79999297. Round v to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1842 - 3639 = 24*o - 4329 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -725 (b) 0.2 (c) -0.3 (d) -1 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1216)*-1)**2*1 + (-5 + sqrt(1216) + 1)**2 + 0 + 2*sqrt(1216).\nAnswer: -48*sqrt(19) + 8528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:09 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/(p\/(p*p\/((((p*p*(p\/p**18)\/p)\/p)\/p)\/p))*p))\/((p\/p**(2\/21))\/((p**(1\/4)\/p)\/p*p)) assuming p is positive.\nAnswer: p**(359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 13. Let f be t(-7). Let v be 8\/f + (-3)\/(-9). Let l be -1*(-2*1 - 0). Put 3, l, v in descending order.\nAnswer: 3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**5*r + 3*g**2*r + g*r - 13*g - 2*r wrt g?\nAnswer: -120*g**3*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*x**4 + 288.\nAnswer: 124*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4, 3*y - 4*x - 39 - 8 = 0. Suppose -2*k = k + y. Let l(u) = -u + 6. Is 13 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26098191?\nAnswer: 3, 7, 19, 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124525 (base 6) to base 2.\nAnswer: -10110010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + 5 - (2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 158754707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (39 - 68) + 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 12, -4*m + 3*h - 36 = -0*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7591, -30403, -68415, -121621, -190015?\n\"Answer: n**3 - 7606*n**2 - n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atrt when four letters picked without replacement from tttraqa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 0*z**2 - 835*z + 772*z - 229. What is the thousands digit of u(48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54376 + -1673?\nAnswer: -56271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3212)\/(-16) + 3\/12. What is the highest common divisor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/((-35)\/2) + (-338)\/(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (21\/(-3) - -2). Let r(q) = q**3 + 5*q**2 + 8*q + 8. Determine r(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 16. Let v be a(4). Let z(g) = -2*g**2 + 3*g - 4. Give z(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235651954?\nAnswer: 2, 43, 2740139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(3 - 3 - c**3) - 2*c**3 - 3*c**3 + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - -10)\/(2\/4). Let s(o) = 2*o - 7. Let f(j) = 3*j - 14. Let a(r) = -2*f(r) + 5*s(r). What are the prime factors of a(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45943*(-2)\/(-2)*-1*(-3 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 129*l - 159. Let i(a) = -129*a + 165. Let h(m) = 4*d(m) + 3*i(m). Differentiate h(o) with respect to o.\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20 = -u + 17, -3*u + 3*o + 21 = 0. What is the tens digit of (u\/6)\/1*(-526)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45856171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 936\/260*((-250)\/(-105))\/5. Factor v*i**2 - 40\/7*i - 32\/7.\nAnswer: 4*(i - 4)*(3*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101211212010 (base 4) in base 8?\nAnswer: -21454604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001117935 to 6 dps.\nAnswer: 0.001118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*i - 29 + 2, -29 = -4*i - 5*m. Solve -r + 4 + i = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 11*g**2 - 21*g - 86. Let x = -192 + 179. What is the tens digit of q(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, d: 3, t: 5}. What is prob of sequence qddq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 154, 157, 160?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/6)*d*d*d)**(8\/7))**(-7\/6) assuming d is positive.\nAnswer: d**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 24*a - 4*a + 0*a**2 - 4*a - 14*a - 6*a**2 in the form x*a**2 + g*a + k and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) 3 (c) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26676 and 468.\nAnswer: 26676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 27?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -8. Solve r = -r - t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1738*t + 1742*t + 3*f + 36, f = t + 2 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/5*121\/((-373527)\/14).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 45 + 31. Let i(x) = -6*x**2 + 0*x - x**3 + 8*x - 7 - 4*x. What is the tens digit of i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 + -3. Let i = 8.8 - y. Let f = i - 14. Sort 1, 0.5, f in decreasing order.\nAnswer: 1, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53484360 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5898399*j*s**5 + 2029*j*s**2 - 24*j - 22*s**2 wrt s?\nAnswer: 353903940*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 + 16*s**4 - 76*s**3 + 56*s**2.\nAnswer: 4*s**2*(s - 2)*(s - 1)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3905 + 10666. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3843 less than -17.516?\nAnswer: -11.1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1780 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 7:16 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * -93.238\nAnswer: -363.6282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 501?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 20*s**2 + 8. Let t be k(-20). Let c(x) = t*x**2 + 5*x - 6*x**2 - 3*x**2 + 4 + 3*x**2. What is c(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let m(j) = -7*j**3 + 2*j + 2. Let l be m(-1). Let s be ((-2)\/(-4))\/(-3*l\/(-42)). Solve -5 = -f*v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010812 rounded to four decimal places?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -52*j**2. Let v be b(1). Let y = v + 39. Let o = y - -15. Solve 0 = 3*i + 4*d - o, 10 = -4*i + i + 2*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.141 + 0.399. What is h rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -50 + (28\/7 - -2). Which is the third biggest value? (a) t (b) 1 (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-204))\/((-2)\/20)*2\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**3 - 20*h**2 + 292*h - 170. Calculate o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 - 4 - (125 - -18).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t)**(1\/15))**18 assuming t is positive.\nAnswer: t**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 632 (b) 2\/13 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302.32 * 4.44.\nAnswer: -1342.3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 17. Let b(q) = -3*q**2 - q - 18. Determine 2*b(w) - 3*m(w).\nAnswer: -3*w**2 - 2*w + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 8, c: 5}. Give prob of picking 1 k and 2 e.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 65937584 divided by -2\nAnswer: -32968792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/9)\/((8\/24)\/(-1)). Are m and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57\/29 - 3833\/696. Find the common denominator of -103\/6 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/43))\/q*q**(-1\/10))\/(q*q*(q\/q**32)\/q*q*q\/((q*q**(-45))\/q)) assuming q is positive.\nAnswer: q**(-7343\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 38*l - 40*l + 233092, 3*l = -2*c + 349651. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 0*c + 0*c)*(0*c + 4*c - 3*c) + (3*c**3 + 0*c**3 - 2*c**3)*(-2 - c + 2) - c**2 + c**2 + 3*c**4.\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v = 26 + 52 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4615154532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 6695.\nAnswer: 669.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-21) - (-312970)\/(-12495). Is f >= -920\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-18)\/(-21))*3. Suppose -3*h - n = -31. Suppose -4*k = -4 - h. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 132\/106267?\nAnswer: 132\/106267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + r**2 + 2*r - 3. Suppose 4*f + 2*h = 12, 8 = -5*f - 3*h + 23. Let m = f - 6. List the prime factors of g(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/9 - 88358*u\/9 - 29453\/3.\nAnswer: (u - 88359)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 times -6179?\nAnswer: -3206901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*o = 79*o - 5*z + 8, -5*o = -2*z - 12. Solve -8 + 22 = -5*l - 2*f, -2*l - o*f = -4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0 + 10 = 0. Let q be 5\/z*(-48)\/(-30). What is the first derivative of -4*i**q - 6 - i**4 - i**4 wrt i?\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.56 - -0.66. Round d to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -510 + 1445. What is the remainder when 98 is divided by ((-4)\/(-10))\/(-2 + 1881\/f)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**10\/i**(-3\/4))\/(i*i\/i**(-2\/5))**(31\/3) assuming i is positive.\nAnswer: i**(-281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 - -0.5. Let y = -4 - w. Let l = y - -7. What is the second biggest value in -4, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from nnunyygiunnn?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by 324.\nAnswer: -43\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 0 + 1 - 2 + 13 + 9 - 29*n. Let q be x(-15). Solve 0 = -q*z + 2*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 1 + 187 + -174.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6937, -13840, -20743, -27646, -34549?\nAnswer: -41452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 29*z - 28. Let a be j(28). Suppose 5*y - 6*k + 3*k + 295 = a, -k - 51 = y. Which is bigger: -57 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -3\/4*f**4 + 0*f**3 + 0*f**2 + 5*f - 1. Find the first derivative of d(l) wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*j**2 + 3 - 300*j**4 - 3 + 314*j**4 - j**3 wrt j?\nAnswer: 336*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/44 - 8\/(-28)*(-35)\/(-55). Which is the closest to w? (a) -15 (b) -5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(-6)\/4. Solve p + 5 = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -67*h**3\/2 - 149*h**2 - 308*h. What is the first derivative of l(m) wrt m?\nAnswer: -201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 116*l + 88. Let r be v(13). Suppose -26*q = -7*q - r. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2375584 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*p - 3*z - 12, -2*p + z = -8. Suppose -3*i + p = 20. Let m = -0.22 + -1.78. Which is the nearest to 0.3? (a) i (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*g + 2456 = -1120. Solve -58 = -g*q - 34 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 1956735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 7, b: 3, j: 1}. Give prob of picking 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -0.085?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*t - 2*f, 4*f = -t - f - 6. Let b(d) = 3*d**2 + 5*d - 4. Let z be b(3). Let h = z + t. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s**2. Let k(y) = -17*y**2 - 5*y + 12. Let h(w) = w**2 - 2. Let l(a) = 6*h(a) + k(a). Determine l(d(b)).\nAnswer: -704*b**4 + 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-162)\/(-28)*48\/(-1224). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v + 85. Give u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -511 - -507. What is the smallest value in -311, l, -0.3?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 9:48 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u + 3. Suppose -5*j - 6 = 4*d, -3*d = 2*j + j + 6. Determine o(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8530 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2745)\/(-4575))\/((-6)\/(-160))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:33 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74605 is divided by 1589?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 8*c**2 + 7*c + 2. Let v be t(7). Let j be v\/(-10) - (-1272)\/(-40). Let l = -21 - j. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 306065 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*h, 2*w = -h - 1 + 7. Sort h, -3, 43, 0.\nAnswer: -3, 0, h, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11928\/112*5\/((-465)\/62)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s = -898 + 8 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -350633279 divided by 2559367?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/28 or 0.355?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 315*x**2 + 11*x - 191. Determine g(105).\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21151570, 21151575, 21151582, 21151591, 21151602?\nAnswer: 21151615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22800 = -5*k + 2*k. What is k rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from qmtddmmqm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -499720 rounded to the nearest 10000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19399*h + 2 - 3*h**4 + 19409*h - 3*h**3 - 2*h**2 + 3*h**3 to the form t*h**4 + n*h + q*h**2 + k*h**3 + y and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1285, -5108, -11485, -20422, -31925, -46000, -62653?\n\"Answer: -v**3 - 1271*v**2 - 3*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 11. Let q be u(-8). Let p be (-9)\/(-3) + q + 57. Suppose b + 4*b - p = 0. What is the remainder when 20 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3006 in 1\/2, 1\/5, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(sqrt(3) - (1 + sqrt(3))*4))**2 + (sqrt(42)\/sqrt(32))\/(sqrt(112)\/sqrt(4)).\nAnswer: 6913*sqrt(3)\/8 + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3\/7*r**2 + 1413\/7*r + 1416\/7 = 0?\nAnswer: -1, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8535, 8540, 8545, 8550, 8555?\n\"Answer: 5*i + 8530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-31)\/i)**35\/(i**0*i*i*i**(4\/11)) assuming i is positive.\nAnswer: i**(-11961\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11768 (base 13) to base 10.\nAnswer: 32027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 5*m**3\/3 - 20*m**2 + 80*m - 17. Factor q(c).\nAnswer: 5*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1466204 and 3082?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/92, 4\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + f - 3*f)*((3 - 7 - 3)*(2 + 4 + 4) + 0 + 3 + 1 + (3 - 2 - 2)*(-3 - 3 + 2)) to the form s*f + b and give b.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 22 = -5*d, 1689*r - 1685*r + d + 25 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrz when three letters picked without replacement from {q: 3, f: 3, r: 4, z: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-75))\/((48\/(-18))\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*sqrt(98) + 0 + -3 + -5 + sqrt(98)*2 + (1 + sqrt(98))*5)*3)**2*5.\nAnswer: -3780*sqrt(2) + 158805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, d: 3, z: 6, e: 3}. Give prob of picking 1 e and 1 d.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11063 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 2*m**4 + 3*m**4)*(3 - 5 - 1) - m + m - 4*m**4.\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310554 divided by 17253?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**8\/14 - f**4\/3 - 3*f - 3. Let l(i) be the first derivative of o(i). What is the third derivative of l(b) wrt b?\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/((2 - 0) + -3). Let b = -9 - k. Solve b*w = 2*l + 8, 7*w - 3*w = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21850303 and 502?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + -0.31. Let p = -6 + 5.6. Let j = p - d. Which is the smallest value? (a) j (b) -0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i**3)*(-7 + 60*i + 7)*(-3 + 3 - 3).\nAnswer: -180*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(-2)\/4. Let l = -4838\/63 + 536\/7. What is the smallest value in 2, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(31 + (-55 - -27))*(-2)\/(-18). Solve -8\/5*g**4 + 0 + 8\/5*g**2 - 2*g + 12\/5*g**3 - 2\/5*g**d = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 49 = -s, -5*s = 4*j - 3*j + 229. Let l(k) = k**2 + 40*k - 222. Let t be l(s). Solve 6 = t*w - 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007635 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123281 and 329?\nAnswer: 862967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -95*t**2 + 530*t - 11. Let a(o) = 235*o**2 - 1327*o + 27. What is 7*a(j) + 17*i(j)?\nAnswer: 30*j**2 - 279*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(272)*-1 + -3.\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x + 111. Let o be 59\/(-354) + (-1063)\/(-6). Suppose 0 = -53*v - o - 1837. Which is greater: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*x - 612, -3*x + 6*h - 439 = 5*h. Let u be (-90)\/1 - (4 - 3). Let b = x - u. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2. Let x(o) be the third derivative of -o**7\/360 + 7*o**5\/60 + 2*o**2 + 3*o. Let h(p) be the third derivative of x(p). Calculate h(r(k)).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 - 535*b**2 + 10*b - 136*b**2 - 92.\nAnswer: -671*b**2 + 10*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200)*-1)\/(sqrt(40)\/(sqrt(60)\/sqrt(6) + sqrt(10))) + (2*sqrt(864))\/(sqrt(2)*2*6 + sqrt(2) - sqrt(2)))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1098 divide 111224474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + 5*o**4 - 5*o**3 - 4198*o - 45 + 4196*o + 4*o**3 in the form g + x*o**3 + i*o**4 + n*o + p*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v = -4*o + 87*v + 19, 5*o - 31 = v for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2. Let w be (6\/5)\/((-15)\/(-50)). Let m(n) = n**2 + 5*n**2 - w*n**2. What is f(m(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4178662170 to the power of 1\/3, to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apogznao. Give prob of picking 1 z, 1 o, and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 12:15 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9582925373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + 8 - -3. Let q = -2 + v. Find the common denominator of 162\/q*(-5)\/4 and -75\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 21 = 3*c. Let u = 35 - 26. What is the remainder when u is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781315 is divided by 897.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.04 (b) -0.6 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 43, 92, 161, 256, 383, 548?\n\"Answer: j**3 + j**2 + 25*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/60 - d**2\/2 + 5*d. Let w(l) be the first derivative of g(l). Let n(k) = 2*k**2. Give w(n(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 110\/20*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 36 = -18*a. What is the second biggest value in 0, 111, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 9:59 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -32 + -24 + -2 + 147\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 2*n)*(3*n**3 - 5*n**3 + n**3) - 3*n**3 - 3974*n**2 + 9*n**4 + 3974*n**2.\nAnswer: 11*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112210 (base 4) in base 11?\nAnswer: 15521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -658 * -0.3\nAnswer: 197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-30))\/((-8)\/36)*-2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i**2 + 36*i**2 - 17*i**2)*(6 - 5 - 3)*(-5 - 1 + 2).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 14*j - 6. Let p(i) = -7*i + 4. Calculate -4*g(n) - 7*p(n).\nAnswer: -7*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10 - 4 - 2 - d - 3. Let y(r) = r - 2. Give 5*f(c) + 2*y(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24205666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -531723*m**2 - 79369446*m - 2961837723 = 0.\nAnswer: -31421\/421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/30 + t**4\/12 + 2*t**3\/3 + 7*t**2. Factor b(d).\nAnswer: -2*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + 7*t + 4. Let r(p) = p**3 - 2*p**2 - 7. Let z be r(0). Let m(h) = -h**2 - 2*h - 1. What is z*m(q) - 2*a(q)?\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -379900 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 8)*(-2*c + 0 + 0).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 390 in -4\/23, -0.1, 3\/4, 0, -14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:05 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 1 = -p, -789*p = 2*v - 794*p - 29 - 8 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 19. Let u be 30\/45 + (-14)\/(-6). Suppose 2 = 2*l, -4*x + u*x + 2*l = 1. Which is the third smallest value? (a) x (b) -14 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/21 - (-76)\/(-14). Let g(i) = -253*i + 133. What is the hundreds digit of g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -2 - (2 + -8 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 13*z - 5. Determine v(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -772*h + 19310. Calculate s(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Determine x(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 + 69*m**4 + 1302*m**3 - 1434*m**2 - 1299*m + 1365 = 0. What is m?\nAnswer: -13, -1, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 6647194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 532\/21*(-12)\/(-8). What is the units digit of (1 + -3*8)\/(u\/(-722))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -0.1. Let j be ((-13570)\/42 - -5) + (-20)\/35. Let l = -318 - j. Which is the smallest value? (a) 0.1 (b) -3 (c) l (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4002 and -19\/63.\nAnswer: 84042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -225250 rounded to the nearest 1000?\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92592 and 900.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -32. Let c = -22 - h. What is the lowest common multiple of 22 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f + 3*f - 4 - 3*f + 2*f. Let l(i) = 33*i - 23. Let r(p) = 12*p - 8. Let v(n) = 3*l(n) - 8*r(n). What is -4*j(m) + 3*v(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -226, -220, -204, -172, -118?\n\"Answer: f**3 - f**2 + 2*f - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10275041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 107?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 7*i**4 - 34116*i**3 + 330907*i**2 - 753870*i - 243200 = 0.\nAnswer: -2\/7, 5, 4864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v**3 + 19 - 19 - v**3 - v**3 + 5*v**3 - 5*v**3 + 2*v**3 + 2*v**3 + (v**2 - 2*v**2 - v**2)*(2 - 2 + v) + 2*v**2 + v**3 - 2*v**2)*(-3 + 3*v**2 + 3).\nAnswer: -33*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 7*k + 8. Let n be y(8). Suppose n = -10*h - 9 - 61. Let f be (12\/h)\/((-4)\/42). What is the greatest common factor of f and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3750.\nAnswer: 18750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 515867387 and 3934.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 289, 576, 863, 1150, 1437, 1724?\n\"Answer: 287*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -38, 2, 0, -5 in decreasing order.\nAnswer: 2, 0, -5, -38, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1\/328721) + -1. Let c = 8223 - 136943. Let u = m + c. Round u to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80568 (base 9) to base 16.\nAnswer: -cedb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142416, -142198, -141980, -141762, -141544, -141326?\nAnswer: -141108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - -117. Solve -d*f = -f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/2*(224 + -82)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635877.6 nanograms to grams.\nAnswer: 0.0006358776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85742 divided by -2.\nAnswer: 42871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11218363 to the nearest integer?\nAnswer: 3349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 - 61492*s**2 - 11*s + 5684 wrt s?\nAnswer: -12*s - 122984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + -3 + -1 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*((-5 + 5 - 1)*(-7*i**2 + i**2 + 2*i**2) - 3*i**2 + 3*i**2 - i**2).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33\/14, 19\/50, 2?\nAnswer: 19\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22962 is divided by 472.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409265?\nAnswer: 5, 81853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182221203.\nAnswer: 3, 23, 719, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-11\/6)*d\/(d*d*d\/((d**(2\/5)*d)\/d)*d)*(d**(-2\/3)*d)\/d assuming d is positive.\nAnswer: d**(-263\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1490 and -87\/148187354.\nAnswer: 740936770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c + 3 = 0. Let w(r) be the second derivative of 4*r - r**2 + 0 + 1\/2*r**3 + 1\/12*r**4. Give w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 324.7.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*q**3 + 3 + 0 - 2 + 769*q**3 - 1 - 614*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (45 - 78) - 38?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3188*-26\nAnswer: 82888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15437, 30876, 46315, 61754, 77193, 92632?\n\"Answer: 15439*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Suppose -2*b = k*h - 4*b - 2, -3*h = 3*b + 21. Put 5, 0, h in increasing order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*w, -5*o + w - 3*w + 18 = 0. Let v be 8 - (-3 + o) - -2. Let f = 7 + -3. Solve -f*l + v*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -5, -6, 1.23, 3, -22\/3 in decreasing order.\nAnswer: 3, 1.23, -0.01, -5, -6, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.32 - 0.02. Let s = r - -2.7. Which is the nearest to 1? (a) 5 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010 - -110101211212?\nAnswer: 110101200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 5*x = 218, 2*n - 73 = -0*n + x - 117 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97216492?\nAnswer: 2, 23, 47, 22483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718707926 to the power of 1\/2, to the nearest integer?\nAnswer: 41457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (-2 + sqrt(1216) + -1)) + 2*(sqrt(1216) + sqrt(1216)*2 - sqrt(1216)))**2.\nAnswer: 192*sqrt(19) + 19465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 - 51*g**2 + 37*g - 52. Is r(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.3 (c) 4 (d) 12492\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35312189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -2136, -823 in ascending order.\nAnswer: -2136, -823, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 - 13*s**3 + 40 - 37 + 2*s - 9*s**2 - s**2 to the form q + w*s**2 + k*s + n*s**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.7351955ms?\nAnswer: 0.0007351955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**4\/24 - 21*b**2. Let v(a) be the second derivative of 0 + 1\/3*a**3 + a + 0*a**2. Determine v(m(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 1083082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.52 - 97.12. Let m = n - -87. Let b(u) = -2*u**2 - 4*u - 4. Let k be b(-3). Sort k, m, -4, 3 in increasing order.\nAnswer: k, -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1972 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3517138213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -2 - 1596\/65. Let y be (-1)\/(-2) - 453\/1170. Let q = l - y. What is the common denominator of q and 55\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdb when three letters picked without replacement from btfdpbpd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-6) + -16)\/(8\/(-54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2030344443 (base 5) to base 9\nAnswer: 7730011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 31. Suppose 0 = -2*w - 0*w + 4*y + 2, s*w = -4*y - 22. What is the biggest value in -0.2, -0.3, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91038517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2525560682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/1347 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (9 - (3 - -11))) + -18\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12476\/5 - 99711\/40. Let g = 1828\/7 - 1039\/4. Calculate the common denominator of g and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2481316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, k: 1, r: 4, q: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. What is the units digit of -4*(0\/p - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.49 - -161.49. Let a = m - 221. Let w = 62.946 + a. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*j + 27*j = -187*j + 20625 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961545.8 micrograms to nanograms.\nAnswer: 961545800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*o**2 + 141558*o + 11297664 = 0. Calculate o.\nAnswer: -1344\/17, 8406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuussssyyn. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = -7. Let h be 6\/9 + (-7)\/k. Let n = 3.4 - 1.4. What is the biggest value in 0.5, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490546 >= 1490596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2)\/(u**(-3)\/u*u*u)*(u**(-1\/4))**(1\/24) assuming u is positive.\nAnswer: u**(-1\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 - 2*l**3 + 0*l**3 + 1 - 3*l**2 - 4*l**2 - l. Let x be a(-2). Calculate the greatest common divisor of 77 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 6184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/25)*l*l**(-13))**32)**(-34) assuming l is positive.\nAnswer: l**(324224\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -1, 4, 9, 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 2*f + f**5 + (17 - 17 - 9*f)*(-4*f**3 + 3*f**3 + 0*f**3)*(7 - 4 - 2 + 2*f).\nAnswer: 19*f**5 + 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b8 (base 15) in base 2?\nAnswer: 111110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*v - 37 + 42 + 146*v)*(0 - 3*v**3 + 0).\nAnswer: -3*v**4 - 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n + 8. Let s be (-3 - -5) + 7 + -3. What is the units digit of m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-15492)*(-5855570)\/1925. Let b = -4\/1291 - l. What is the common denominator of b and 107\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teehvthwtehvwiv. Give prob of sequence ti.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let j(a) be the first derivative of 0*a + 0*a**2 + 139 + 19\/3*a**3. Give v(j(i)).\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - m)*(-4 + 3 + 8) - 3*m - 3*m + 4*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:00 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1.68?\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9629.2 + 9629. What is the smallest value in m, 0.033, 0.21?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61031578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 333689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = -9918*k + 9909*k for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b8 (base 15) in base 13?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.1 (b) 0.2 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-2)\/sqrt(3)*-1)\/(sqrt(432) + (sqrt(432)*1 + sqrt(432))*4).\nAnswer: sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7151*t - 4048*t - 4615*t + (-3*t + 4*t - 3*t)*(-4 - 2 + 4) + 2 + t - 2 as h*t + o and give h.\nAnswer: -1507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21068 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-23)*k*k))**43*k**(2\/37)*k**(8\/3)\/k assuming k is positive.\nAnswer: k**(105197\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518 and 129241?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from wgsroywsr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332431 - -143154?\nAnswer: -145233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17548 (base 9) in base 14?\nAnswer: -45b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-16)\/(a**(-2\/7))**13 assuming a is positive.\nAnswer: a**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*d - 211, 4*n - 278 - 566 = d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8355 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and 55\/323.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 + 14 = 0, -2*t + 7 = -3*x. Let v(l) = 171*l**2 + 7*l - 9. Is v(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*u - 34 = 0, -3*v - 2*u + 6 = -14. Let n be v + (2 + -1 - 2). What is the derivative of 1 + n*r - 2*r - 2*r wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (-28 - (22 + -43))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*l + 106*l**2 - 66*l - 27*l wrt l.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 64*h**2 + 35*h + 2451. Determine o(-64).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 59\/3*t + 1\/3*t**4 + 0 + 61\/3*t**3 + 119\/3*t**2 = 0.\nAnswer: -59, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d66 - 0?\nAnswer: -4d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*207\/805*(-294)\/(-28).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 11*d - 11. Let q(r) = -276*r + 1383. Let w be q(5). Calculate y(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3 - 6, 0 = 4*g - 4*k - 24. Let f = -3 + g. Suppose f*h - 3*z = -5*h - 6, 2*h - 4*z = -8. Solve h = 2*d - 3*t + 9, 5*d + 6*t = 2*t + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let g(t) be the second derivative of -1\/3*t**3 + 0*t**2 + 0 + 2*t. Determine n(g(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 471 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:14 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28*x**2 + x - 1. Let k be n(-2). Suppose 5*a - 260 = 2*o + 3*o, -3*o - k = -2*a. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 10*a - a - 4498. Calculate the greatest common divisor of 923 and a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -637? (a) 1\/124 (b) 1\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 565137498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -28 (b) -0.5 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p**2 + 1. Let c be (-1 + 0)*(0 + 1). What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183964, 367936, 551930, 735958, 920032, 1104164, 1288366?\nAnswer: 1472650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**2\/2 - 4*p + 5. Let z(v) = 1. Calculate -2*k(h) - 6*z(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -5*o**7\/21 - 17*o**6\/6 - 33*o**5\/4 - 85*o**4\/12 + 35*o**3\/6 + 15*o**2 + 5*o + 12. What is q in l(q) = 0?\nAnswer: -6, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 25. Calculate the highest common factor of x and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -15. Let n be 46*3\/(-30) - y\/5. Put -3, n, 4, -2 in ascending order.\nAnswer: n, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**2 + 154 - 152 - u**2 + 2*u. Let h be ((-3)\/4)\/(2\/(-8)). Determine r(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + (-2)\/(-3 - -4). Let c = -1 + t. What is the lowest common multiple of c and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -13*h + 17*h + 412, 0 = -h - 2*t - 98. Let i be 2\/(0 - (h\/20 - -5)). Solve 20 = 5*q - 9*p + 14*p, -4*q + i*p = 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-1\/4)\/((b\/((b**1\/b)\/b))\/((b\/b**(-2\/3)*b)\/b*b))*(b**(1\/2)*b\/b**(-2\/15))**(1\/30) assuming b is positive.\nAnswer: b**(1073\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j = 8. Let f be 13\/(65\/50)*4574\/j. Let t = f + 320147\/28. Calculate the common denominator of 22 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -207 + 195 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/6)\/a**(-1\/3)*(a\/(a*a**(-1\/4)\/a))**16)**(1\/11) assuming a is positive.\nAnswer: a**(39\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Suppose -35*m - 38 = -37*m. Let v(b) = 8 - 23 + 4 + 2 + 10 + m*b**2. What is -18*k(i) + 2*v(i)?\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i - 2346*i**2 + 7*i - i.\nAnswer: -2346*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 16. Let j be o(-12). Let h = j + 2. Suppose 0 = 3*s + 2*s - 55. Which is greater: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 35. Let z be 8 - (-100)\/(-12) - (-80)\/6. Let y be x(z). Let v = y - -99. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 37244?\nAnswer: 111732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-100)\/(-55) + 4\/6*-3. Which is the closest to 1? (a) -4\/17 (b) 1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6751?\nAnswer: 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18972137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y. Let l = 898 + -896. Let x(w) be the first derivative of 0*w**l + 0*w + 7\/3*w**3 - 4. What is x(k(r))?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcczzccmzzzzzz. Give prob of picking 3 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2893575 and 533?\nAnswer: 37616475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380111737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -31*o + 18*o + 14*o + 2 - 1. What is x(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2 + 0*q**4 + 1\/3*q**5 + 2 + 7\/3*q - 8\/3*q**3 = 0. Calculate q.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by -26710.\nAnswer: -157\/26710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 563 - 342. Suppose -a*h = -224*h + 429. Calculate the highest common divisor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 9585*p - 14222082 = 0.\nAnswer: -4298, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516724?\nAnswer: 2, 13, 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 22 = -2*m + 3*g, 0 = 5*g + 25. Let y(v) = -2 - 2 - 3 + v**2 + m*v + 11. Let t be 369\/(-54) + -3 + 85\/30. What is y(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*j - 97, -3*j + 3 = -0. Solve 6*l = 2*l - x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-327)\/(-4 + 110\/30) is divided by 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - x**2)*(759 - 759 - 977*x - 25*x) in the form j*x + g + h*x**3 + u*x**2 and give h.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9.7. Let t = 0.9 - y. Let l = -0.51 - -0.01. What is the second smallest value in t, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -526188*d**2*h**2 - 41*d*h**2 - 33*d*h - d + h**2 - 4*h wrt d?\nAnswer: -1052376*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/40*58430 - 14.\nAnswer: 29201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmpp when four letters picked without replacement from pmmhpmmpmppv?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8\/5 (b) -1\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 + 5*s**2 - 3*s**2)*(-15*s - 2 - 8 + 9) to j*s**3 + r*s**2 + f*s + n and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2402*r - 9577. Is i(-58) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 + 9 = 0. Let p = y + 7. Let a(c) = 3*c - 6. Let w be a(10). Solve p*v + w = -4*o, -2*o + 14 = -4*v - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q + 9. Let c be i(-6). Suppose -2*t - c*t = -20. Suppose -2*d = -2*v - 16, -4*d - t*v + 2*v = -56. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 2, c: 3, d: 2, a: 1, o: 4}. What is prob of picking 1 c and 1 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2288925ng to kilograms.\nAnswer: 0.0000000000002288925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 274.9099 tonnes?\nAnswer: 274909.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 652 - 334. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 40 = -3*o, -34*o - 2*v = -35*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 4*j**2 + 2*j**2 + 4*j**2 + (2 + 2*j**2 - 2)*(-3*j - 2*j + 7*j).\nAnswer: 5*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) 0.1 (c) -18\/71 (d) 3\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/60 - 25*u**4\/24 + 47*u**3\/6 - 27*u**2. Let c be a(-28). Let p = c + 42. Solve h - 2*h = p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3327)\/(-147497))\/((-3)\/(-57)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 136\/18 + 60\/135. Let d be h - 1 - (23 - 25). Solve -d*z = -8*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -691 - -680. What is the second smallest value in -0.04, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 281584, 1126379, 2534386, 4505611, 7040060, 10137739, 13798654, 18022811?\n\"Answer: p**3 + 281600*p**2 - 12*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-5)*(-60)\/8. Let m = -17 + p. Let g = 4 - m. 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: What is the seventh root of 229849109 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a - -68?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.6, -1.2, -5, 0.1, -177, 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*h + 4. Let t be (-6)\/h - 24\/(-10). Which is bigger: 2\/15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*j + 44*j + 3*j**3)*(3*j - 6*j + 2*j) + (-2*j**3 - 2*j**3 + 2*j**3)*(-4*j + 5*j + 0*j) in the form s*j**4 + v + q*j + o*j**3 + z*j**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11108 + 11196. What is the remainder when 1229 is divided by f?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 3*l - 5*k, 4*l + l - 153 = k. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 44 + (-308)\/31.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5170 (base 13) to base 5\nAnswer: -324440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + m - 273, -5*m + 178 = 2*o - 3*m. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 20*m**2 + 15*m - 40. Let z be k(15). Let w = -747 + z. List the prime factors of w.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -87319, -174627, -261927, -349213, -436479?\n\"Answer: w**3 - 2*w**2 - 87309*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 + 195. What is the nearest to 0 in 0.2, 6, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + b - 187 + 248 = 0, 0 = -g + 2*b + 10. Solve -4 = 4*k - w - 0*w, 4*w = 2*k + g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-5))\/((-3)\/(-15)). Let g be 118 - (4 - m - 4). Suppose -41 = -3*n + g. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 29*w**2 + 39*w + 332. Give o(-14).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - aa63b5?\nAnswer: -aa639f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8302 by 2.\nAnswer: -4151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1553, 2190, 2959, 3848, 4845?\nAnswer: 5938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31\/(88\/12 + -7). Let t = a - 90. Solve -17*v + 18*v = t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + x = -30, 5 = -4*n - 11*x + 14*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2072 - -2075. Which is the fourth smallest value? (a) 5\/6 (b) -5 (c) k (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**3 + q + 1. Let i be (-8)\/6*(-99)\/22. Suppose 5*g + 10 = 4*o, o - i*o = -5*g - 15. Let z(r) = r**2 - 3*r + 1. Let t be z(g). Give u(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/12711 and -40\/1338651.\nAnswer: 5671864287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24090, -5, -7\/4, 0.1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**3 - 79*g**2 + 136*g - 601. Determine u(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 191 = 42*f - 5*r, 3*f - 41*r + 13 = -42*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*6 + (sqrt(190) + (sqrt(190)*1 - sqrt(190)))*3)\/(((sqrt(70)*1 + sqrt(70))*-5)\/sqrt(7)).\nAnswer: 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-384)*(-14)\/455?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2.09 (b) 5\/12 (c) 0.14 (d) 4 (e) -3 (f) 1\/3 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 57. Put 0, t, 1 in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 7, k: 1, p: 9}. Give prob of picking 3 p.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i + 3 - 10*i**2 + 5*i**2 + 4*i**2. Let s be p(-9). Suppose 5*y = -4*f + 1, 2 = 2*y + s*f - 4. Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = d - 351, -w = 5*d + 67 - 229. What are the prime factors of w?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzurhzru. What is prob of picking 2 z and 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, c: 1, j: 4, m: 1}. What is prob of picking 2 j and 1 t?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*f + 104 - 80, 0 = w - 5*f - 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmqmyqugmgymuuq. What is prob of picking 1 g and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = 21. Calculate the remainder when 32 is divided by -1 + -1 + (f - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553850449 divided by 3?\nAnswer: 851283483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81109*f - 163822*f + 81356*f.\nAnswer: -1357*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-2 - -6) - 1. Let l(q) = -2*q**2 + 7*q - 2. Let y be l(a). Solve -y*v + 7 = -9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 4*j**2 - j**2 + (-2*j**2 + j**2 - j**2)*(0 + 4 + 1) - 2*j**2 - 3 + 3.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/(6\/15)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -265 - -0.97.\nAnswer: -264.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -41101?\nAnswer: 41111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -132 and -135 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.321 + -0.121. Let j = -8.2 + g. Which is the closest to 1? (a) 1 (b) j (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 7*g + 2. Give k(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*n**2 + 1 - 9*n**2 - 15*n**2 + 26*n**2 + 22*n wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -210.033?\nAnswer: 210.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, -5, -29, 8.\nAnswer: -29, -15, -5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, n: 1}. Give prob of sequence bdn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 344261689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -212*o**5 - 65 + 257 - 96*o**3 + 16*o**4 + 617*o**5 - 368*o - 208*o**5 - 198*o**5 + 272*o**2 = 0.\nAnswer: 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 1, h: 1}. Give prob of sequence hqd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 8, -3, 3\/8, 11\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 81, 2, -4, 4.\nAnswer: -4, 2, 4, 81, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3104509 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*a - 4 = -77 - 247 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*z + 258*z**2 - 55*z**2 - 41*z**2 - 369*z**2 in the form o*z + m*z**2 + k and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3422525, -3422514, -3422503, -3422492, -3422481, -3422470?\nAnswer: -3422459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 + 100.2. Let h = u - -22.8. What is the second biggest value in h, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 21*z.\nAnswer: 3*z*(z - 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 2\/5, -25\/2, 25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119883 and 1875141?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -1, -24, 83, 2 in decreasing order.\nAnswer: 83, 2, 1, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14938755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2 - 6*r + r - 11*r + 15*r. Let z be j(1). Which is smaller: z or 5\/106?\nAnswer: 5\/106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 591 = 4*m, 5*b - 616 = -4*m + b. Suppose -a = -z - 41, -8*z = -5*z - 12. Let c = -7 + a. What is the remainder when m is divided by c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191952, -194451, -196950, -199449?\nAnswer: -201948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2639 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 - 381. Find the common denominator of h\/(-12) - 1\/1 and -99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2099.7 - 303.7. Let w = l + -1794.246. Let d = -1.8 + w. What is d rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*l**2 - 1 - 141*l**2 + 4853*l + 3*l**4 - 4850*l to the form f + u*l**2 + a*l**4 + d*l + c*l**3 and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -559\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/711, 4\/5, 0.5, 17316, 1?\nAnswer: 2\/711","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(7\/2)*(s*s**(-5\/6)\/s)\/((s*s\/(s\/(s*s\/(s\/(s\/(s*s*s**(-7)))))))\/s) assuming s is positive.\nAnswer: s**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y + 13. Let o be v(2). Let r be -1 - (2 - (2 + -1)). Sort o, -4, r in descending order.\nAnswer: r, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15002541502 + -1?\nAnswer: 15002541501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/45*-3 - 0. Let x = 24.953 + 0.047. Let k = x + -26. Sort p, 2\/19, k.\nAnswer: k, 2\/19, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4032) + (sqrt(4032)*2 + sqrt(4032))*-6)*1)\/(sqrt(576)\/sqrt(4) + (sqrt(4) - (sqrt(4) - sqrt(108)\/sqrt(3)))))**2.\nAnswer: 32368\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 203031534 (base 6) to base 3\nAnswer: 20120222220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/92 and 47\/3759764?\nAnswer: 3759764","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 14112 + -14111. Suppose -4*g = 0, h + g = 1 - 0. Let d be (-25)\/34 + h\/2. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 5, e: 2, i: 8}. Give prob of sequence ii.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*q + 3*q + 3, -3*q + 9 = -c. Solve h + q*h + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25.1, 663\/2, -1\/8 in decreasing order.\nAnswer: 663\/2, -1\/8, -25.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m + 5*k = 0, -23 = 3*m - 2*k. Let i = m + 3. Let p = i + 5. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -63 - (-7 + 5 - -19)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -218 + 918. What is the remainder when b is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 32*n - 3. Let t(a) = a**2 + 11*a - 1. Let p(m) = -8*t(m) + 3*x(m). List the prime factors of p(8).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u + 102*u = -70 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Suppose -2*i + 0*i = 0, -5*i = -3*d + 6. Suppose 3 + 5 = 4*q. Let b(l) = 2*l**2 - 4*l**2 + l**q + d*l**2. Calculate b(c(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 714*c**3 + 85*c**2 + 85*c - 85. Let q(p) = -17*p**3 - 2*p**2 - 2*p + 2. Calculate -2*m(u) - 85*q(u).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6\/7 (b) -11 (c) 6\/7 (d) 62 (e) 6 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 2540 = -5*z + 7*r, 5*r - 1502 = 3*z. Let s = 534 + z. Solve -7*h = -s - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, 370.\nAnswer: -5, -3, 0, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7*1.8\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1688 and 825258136.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 - b - 1. Let r be a(-2). Let x = r - -46. Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u**2 - u. Let c(x) = -x + 5. Let w be c(0). Let z = -7 + w. Let b(l) = 2*l**2. Let d(g) = z*a(g) + 18*b(g). Suppose d(v) = 0. What is v?\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2729 - -2768. What is the smallest common multiple of y and 104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -2*g. Suppose g*c + 4 = 2*c, -3*b - 3*c = 24. Let u be b\/(-2) + 0\/(-2). Solve u + 1 = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/16 of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 2. Let w be k(3). Suppose -11 - w = -2*f. What is the second derivative of -8 + 6*g + f + 3*g**5 wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 91*w**4\/12 + 127*w**2\/2 - 154*w. Differentiate i(y) wrt y.\nAnswer: 182*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 209, -2 in ascending order.\nAnswer: -2, -0.3, 1, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.82735 millilitres to litres.\nAnswer: 0.01582735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/30 - i**4\/12 - i**3\/6 + 4*i**2. Suppose -5*j - 5*y = -5, 2*y - 3 = -5*j + 8. Calculate n(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Suppose 0 = -z*g + 22 + 10. Suppose 3*k = g*k - 20. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3245, 3281, 3317, 3353?\nAnswer: 3389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 833 - 119 = 0. Let y = -120 + r. List the prime factors of (-1)\/((-328)\/324 - y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:48 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*p*z**2 - 9*p + z**2 + 458 wrt p?\nAnswer: 16*z**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-24)*414\/115?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1461, -1464, -1467?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 22*w - 4. Calculate n(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -33*u + 36*u. Calculate the remainder when 52 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = s + 10, 13*s - 40 = 17*s. Factor 6\/7*v**4 - 2\/7 + k*v + 12\/7*v**2 - 16\/7*v**3.\nAnswer: 2*(v - 1)**3*(3*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121858.526 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -14 - 10) + 1 - -35\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + sqrt(209)\/(sqrt(33)\/sqrt(3) + sqrt(11)))) + 4 + sqrt(19) + 1 - sqrt(209)\/(3*sqrt(891) + sqrt(891)).\nAnswer: 17*sqrt(19)\/36 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1114 - 119200\/107. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -89*d - 709. Let g = 32 + -20. What is the remainder when g is divided by m(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p. Let x be (28\/((-24)\/(-6)))\/(1\/(-43)). Let t = -298 - x. Let k(a) = -a**2 + 4*a. Give t*k(b) - 4*q(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 7. Let d be b(-2). What is the common denominator of (-32)\/18 - d\/6 and 19\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*21\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:31 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 2357 and 2377 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1879.2 and 3.729.\nAnswer: 1882.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -12\/13, 4, 5, 63.3, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -267, -2\/35, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*(-10 - (-1 + -3)). Let z(k) = 2*k**2 + 2*k. What is z(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*g - 57, -2*g = -3*k - 8 + 87. Let w be (-6 - 0) + 180\/k. Which is the third smallest value? (a) 5 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.031 + -0.031. Let w = -1 - -2. What is the nearest to w in i, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 5*x + 6. Let u be k(-3). Let p = u + 4. Find the second derivative of 81*o**2 + 2*o**p - 81*o**2 + 15*o + 3*o**4 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324552 - 3?\nAnswer: -324555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4205, 8531, 12877, 17255, 21677?\nAnswer: 26155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1059559 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 1\/7, -2\/19, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -878*d**4 + 2*d**3 + 11*d + 37581?\nAnswer: -3512*d**3 + 6*d**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**3 + 3 - 3)*(-1 + 2 - 4)*(1 + 1 - 8) in the form a + s*v**3 + d*v**2 + u*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5357 = -2*d - 717, -7704 = 5*x + 4*d. Let p = 12944 + x. What is p rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0*g - 2*g)*(45121 - 22531 - 22542 - 71*g)*(0 - 1 + 2).\nAnswer: -71*g**2 + 48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 5.5. Let s = l + -5.4. Which is the smallest value? (a) 1\/6 (b) s (c) 3\/8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 + 2*o + 4. Let t(s) = -s**3 - s - 1. Let x(z) = -d(z) - 3*t(z). Let y(r) = 4*r**4 + 3*r**3 - 3*r - 9. Let g(c) = 5*x(c) - y(c). Factor g(u).\nAnswer: -4*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3246 and 462.\nAnswer: 249942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646 (base 14) in base 10?\nAnswer: -3982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*t + 19 = 0, 5*w - 2*t + 0*t = -4. Let d be 4\/6*(1 - w). Solve -2*g - 8 = 3*b, -g + 6 = d*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -12. Let n be (-4)\/f + 5\/4. Find l, given that -7\/2*l - n*l**2 - 1 + 5\/2*l**4 + 7\/2*l**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109.3395946 - 3743.\nAnswer: -3633.6604054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 10*c**2 - 2*c + 30*c**2. Let y(v) = 2*v. Give y(w(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 less than -5?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -60, 0.1.\nAnswer: -60, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2550, 4988, 7398, 9762, 12062, 14280, 16398?\nAnswer: 18398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 + 3)*(9*z - 2*z + 0*z)*(7 - 7 - z) to r*z**2 + g*z + j and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758489 a multiple of 417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.078, -5 in decreasing order.\nAnswer: 1, 0.078, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 10*h**2 + 31*h - 61. Calculate b(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 0 + 105\/4*c**2 - 27\/2*c - 3\/4*c**4 - 12*c**3 = 0.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684826 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12229505 or 12229501?\nAnswer: 12229505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**4 - 9033*d**3 + 170754*d**2 - 628320*d = 0?\nAnswer: 0, 5, 14, 2992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427412 divided by 3?\nAnswer: 475804","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 10020302?\nAnswer: -10020233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 47*y**2 + y. Let v be w(1). Suppose k - v = -c, 0*c - 2*c + 108 = 5*k. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9714*l - 11528*l + 76188 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/44*169*352\/(-832)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 21947*z**2\/2.\nAnswer: z**2*(z + 21947)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -80.01. Let x = 0.084 + 0.016. What is the closest to z in x, -0.3, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -303 - -429. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*f*i**3 + 31225*f*i**2 - 121*f + 279802*i**4 wrt i.\nAnswer: -564*f + 6715248*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/16094 - -48277\/80470. Let v be (6\/3)\/(-2) + -2. What is the biggest value in v, -2\/15, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 1:36 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 9*k + 35. Let j be h(12). Let t = 0.2 + -0.2. Put j, 1, t in decreasing order.\nAnswer: 1, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8191837 plus -2?\nAnswer: 8191835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -287 + 174. Is 1 - k - (-20)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -2*q + 357. Suppose 0 = -7*b + 2*b + o + 7, 4*b + 3*o - 17 = 0. Suppose a - q = -b*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 11*t**2 + t + 15. Suppose 5*k + 29 = -4*d, 4*k = -0*d - 4*d - 24. Let w be (k - -3)*33\/6. Let b be u(w). Put b, -1, 10 in descending order.\nAnswer: 10, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4062317 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*j + 2*d + 2 - 0, 14824*j = 14819*j + 3*d - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 + -37. Let p be (-8)\/(-4) - 252\/t. Let n be 6\/40 + (-8)\/20. Which is bigger: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 - 2*k - 3. Let o(x) = -3*x**2 - 2*x - 2. Let j be (-1)\/1*10\/2. Determine j*o(c) + 4*g(c).\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313 + 300 + (-16 - 6).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g - 8. Let i be m(-12). Suppose k = -2*p - 8 - 2, 2*k + 2*p + 10 = 0. Suppose 4*o = 2*y + 8, 4*o = -i*y - k - 4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:07 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/3771011?\nAnswer: 7\/3771011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*h - 1513 + 1318. Sort 113, -6, h.\nAnswer: -6, h, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 3*q - 96 = 0, -5*q - 82 = -4*r. Find the common denominator of (222\/6)\/(r\/(-4)) and 2\/10*(-825)\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 2*r**2 + 8*r - 6. What is j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035748513?\nAnswer: 3539, 292667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - -48. Suppose 0 = -5*m - 0*m + t. Let g be (10\/4)\/(3\/m). Solve x = -4*x + g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-208)*6*(-108)\/(-81)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233312820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**2 - 22*z + 26*z - 9*z**2 wrt z?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let o(f) = t - f**2 - 1. Let r(w) = -13*w. Let n(k) = 6*k. Let z(b) = -9*n(b) - 4*r(b). What is z(o(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1049626 and 2552.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 6. Calculate the remainder when 62 is divided by u*(-4 + 3 + -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -4\/5, 89, 2, 16.1, -0.4.\nAnswer: -4\/5, -0.4, 2, 16.1, 50, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*r - 42. Suppose o = -2*o, 3*u = 3*o - r. Let f be (-1 - (-9)\/3) + u. Sort -1, f, 0 in ascending order.\nAnswer: f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10595 and 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107781618?\nAnswer: 2, 3, 7, 2566229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -4\/9 (c) -0.2 (d) 0.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -12*s - 90, 0*s - 4*s + 5*v = 44 - 19 + 32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(167 - 14*c - 167) - 1 + 1 + 2*c + (1 - 1 + c)*(0 + 0 + 2).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272279122 to the nearest integer?\nAnswer: 16501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1798\/15 - -30661\/255. What is the common denominator of -77\/255 and k?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k = 5*y - 25, -3*y + 15 = 0. Let 0*i**2 + 1\/4*i**3 + 0*i + 0 + k*i**4 - 1\/4*i**5 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20a1 (base 12) in base 7?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/5)*w**(-2\/19)\/w)\/((w*w\/(((w**(-2\/17)\/w)\/w)\/w))\/(((w*w\/(w*w\/(w\/(w*w\/(w\/(w*w**4))))*w))\/w*w)\/w)))**(-28) assuming w is positive.\nAnswer: w**(561764\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 13. Suppose 3*z + 2 = 5*u, -z - 2 = 6*u - 7*u. Let b be (0 - 1) + -1 - 0\/z. Let r be b\/4 + 2 + 63\/(-6). Let m(q) = -3. Give r*m(p) + 2*a(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 108*n**2 + 731*n + 5389. Let v = -481 + 693. What is the remainder when v is divided by d(-114)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.93 + -0.07. What is the second smallest value in 5\/3, s, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:26 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(-2\/17)*b)*b**2 assuming b is positive.\nAnswer: b**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 38*i**3 - 43*i**3 + 6*i**4 - 4*i**4 + 3*i as o*i**3 + m*i**4 + x*i**2 + j*i + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5362 = 635*g + 1976 + 3801 - 2884 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3300*i**6 + 3*i**5 - i**4 + 18642*i**2?\nAnswer: 396000*i**3 + 180*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 27*z - 34*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163*-90457.\nAnswer: 14744491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 (base 6) in base 16?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 22. Let k be m(-15). Suppose 5*u - k = -12. Solve -2*z = 3*z - u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006.8284 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 116 - 26. Let x = 81 - v. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52170107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 153*o**2 + 14987*o - 680. Calculate w(-98).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylyh when four letters picked without replacement from hlyyh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 710 and 75930.\nAnswer: 5391030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4, 1, -0.2, -133754?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -1\/26 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 55.2. Which is the third smallest value? (a) -0.5 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13739)\/(-33))\/(1\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*q - 21 = 0, 4*b - 40 = -0*b + 5*q. Suppose -4*s + 28 = 4*a, b*s - a - 9 + 4 = 0. What is the smallest common multiple of 27 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(512\/(-456)))\/((-195)\/325*(-10)\/16).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17872 is divided by 1996.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15187630 (base 9) to base 2\nAnswer: 11100110101000011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112032332 (base 4) in base 16?\nAnswer: 163be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-4))\/h*h*h**(-14)*(h**(3\/5))**38)**(-30))**(-40) assuming h is positive.\nAnswer: h**8160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 1. Let r be z(14). Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggiiiqsvqiqg. Give prob of sequence qiii.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2180339 centuries?\nAnswer: 2.180339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*k - 10*k + 20*k)*(2 - 2 - 1)*(2 - 1 + k**3 + 0).\nAnswer: -30*k**4 - 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 5*s**2 - s. Let v be r(-5). Suppose d - 24 = -2*t - 3, 120 = 5*d + v*t. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**6*t)\/t)\/t*t*(t*t\/(t**2*t))\/t)\/((t*t**0*t)\/t**11) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 34, 57, 100, 169, 270, 409, 592?\n\"Answer: j**3 + j**2 - j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppisppsi. Give prob of picking 2 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -251, -0.2, -1\/2, -53, -3 in decreasing order.\nAnswer: -0.2, -1\/2, -3, -53, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -13. Which is the nearest to f? (a) 3\/5 (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 864.5923 centuries?\nAnswer: 86.45923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217659274 a multiple of 1214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3930 and 36?\nAnswer: 23580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117636.\nAnswer: 2, 13, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -55. Suppose -118 = 5*x - 2*q, -2*x - q - 43 = -6*q. Let n = x - j. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 + 391. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8610346853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 727? (a) -0.1 (b) 90\/11 (c) 0.2 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/3 + c**2 + 3*c + 5\/3 = 0. Calculate c.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/99954 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 2*f**6\/15 + 12*f**5\/5 + 7*f**4 - 196*f**3\/3 - 177*f + 8. Factor j(k).\nAnswer: 4*k*(k - 2)*(k + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3140*u - 31. Let o(l) = 2093*l + 21. Let a(w) = -7*o(w) - 5*y(w). Let c be a(8). What is c rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 299 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 273, 251, 221, 189, 161, 143, 141?\n\"Answer: b**3 - 10*b**2 + b + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 24.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740548?\nAnswer: 2, 7, 103, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1732844 and 11560?\nAnswer: 17328440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 15 = 7*w + 4*w, 503 = m - 5*w + 508 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72648, -72652, -72654, -72654?\nAnswer: -72652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(720\/(-27)))\/(14\/10).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -155? (a) 2\/17 (b) 247 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 110 = 385. Solve 3*m - q + 39 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00179702 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313*c + 611*c + 658*c = -4268 for c.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-392)\/(-630))\/(-4) + 87\/27 + -3.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/(-30) + 874\/(-115) + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -70. Let u(r) = r**3 - 2*r**2 + 4*r - 20. Let m be u(z). Suppose 0 = -4*l, -3*c - 3*l + m = l. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95409 is divided by 2166?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115.037 - -0.037. Let m = -18.88 - -19.18. Which is the smallest value? (a) 3 (b) 0 (c) m (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 207*h - 2339. Is n(27) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 115 = -10*n. Let g(o) = -o**3 + 15*o**2 - 13*o - 18. Let f be g(n). Let l be f\/6 + ((-165)\/36)\/(-11). Which is greater: l or -9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(15\/(-3)))\/1. Let h be 3\/(-6)*(a + -28). Let i(m) = -6*m**2. Let s(j) = 2*j**2. Determine h*s(q) + 4*i(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -10\/11 (b) -1\/4 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -158, -541, -1178, -2069?\n\"Answer: -127*q**2 - 2*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 5093*s - 3681870.\nAnswer: (s - 5735)*(s + 642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 18 = 10*r - 28*r. Let v(h) = -4*h**3 + 8*h**2 - 6*h + 4. Let z be v(6). Let k = 10339\/17 + z. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - 3*l + 3. Let b be c(-4). Sort b, 6, 2 in decreasing order.\nAnswer: 6, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 7. Let q(p) = 20 - 9 - 6 + 3*p. Give -7*q(w) + 5*v(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 16 - 3 + 45*p - 47*p. Let m = -2087 + 2096. What is u(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + 185977?\nAnswer: 185996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614 + 644 = -10*y. Sort -128, y, 0, 3 in descending order.\nAnswer: 3, 0, y, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1983 + 2007 + (-90 - 5)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**5\/4 + 79*f**4\/4 - 81*f**3\/4 - 79*f**2\/4 + 20*f = 0.\nAnswer: -80, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40802 + 34202 = 17*r. What are the prime factors of r?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, -19, -52, -85?\n\"Answer: -33*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 12*p**2 + 57*p + 51. Determine c(15).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-129)\/(-9) - (-2)\/3. Let s(t) = t**2 + 11*t + 13. Suppose 5*q + 51 = 1. Let f be s(q). Solve a + 0 = -f*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28257 + -14707. Calculate the highest common divisor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -1. Suppose i - 5*x - 305 = 0, 460 = i + 4*x + 137. Let g = -2831\/9 + i. Which is the third smallest value? (a) 1 (b) g (c) f (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - k**2 + 419*k - 462*k to the form b + x*k + r*k**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 20*d**2 + 0*d**3 - 43*d**2 + (-4*d + 0*d + 2*d)*(1 - 2*d**2 - 1).\nAnswer: 2*d**3 - 23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3) + 3 + (15 - 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.211922815 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.68056+-2089\nAnswer: -2089.68056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -18606049\nAnswer: -3\/18606049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18129\/4 - -4532. What is the biggest value in -3, -18\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 1 - 2*w - w)*(4 + 2 + 4).\nAnswer: -20*w + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:08 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11022 divided by -5139\nAnswer: -3674\/1713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/(-20) - -3) + (-280)\/5376*24.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x + x + (-18 + 12 + 9)*(4 + 2*x - 4) + 18 - 18 - x)*(-6*x**4 + x - x**2 + 3*x**2 + 5*x**4).\nAnswer: -7*x**5 + 14*x**3 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*c - 27*c - 96. Calculate the highest common divisor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -647 - -1463. Suppose 0 = -3*o + z + 747. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:57 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(190) - (sqrt(190) + ((sqrt(190) + 1*sqrt(190))*-3 - sqrt(190) - sqrt(190)) + sqrt(190)) - 6*-1*sqrt(190))\/(sqrt(20)\/(-3*sqrt(2)*2))*-6.\nAnswer: 1404*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + -1 - sqrt(20)*-3.\nAnswer: -5 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3501459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231110230 (base 6) to base 7.\nAnswer: -51110556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 815 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -715 + 719. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5340)\/(-39160)*(-22)\/(-10)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.2 (c) -4 (d) 753 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 45453870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 + 315. Let b = 15582 + -15532. What is the remainder when f is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*o + 226 - 226)*(-3 + 4 - 2)*(11*o**3 - 13*o**3 - 6*o + o).\nAnswer: -46*o**4 - 115*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 7565?\nAnswer: -60520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*v - 9812 + 161629, -37916 = -h + 5*v. What are the prime factors of h?\nAnswer: 7, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025106716 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23737 + 771?\nAnswer: 24508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 8*u**2 + 4*u**2)*(-4*u + 4*u - 3*u**2).\nAnswer: -39*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -11.\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5176530 divided by -18?\nAnswer: 287585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*k*q**3 + 5*k*q - 2*k - 42 wrt q.\nAnswer: 9*k*q**2 + 5*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 7173936?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 11:42 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*m - 16 + 16 + 769*m - 3*m**5 + m**4 + 12*m**5 wrt m?\nAnswer: 180*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111121221222 (base 3) to base 12\nAnswer: -326945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t - d + 52 = 0, -5*t + 4*d = 82. Let g be (4\/(-3))\/((-12)\/t). Let y be ((-4)\/(-3))\/((-2)\/(-6)). Put 2, y, g in descending order.\nAnswer: y, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10923 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -15) + -14 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8*-2)\/(38\/(-76)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/17 = 174173\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-12\/7)*g*g*g)**(-27\/5) assuming g is positive.\nAnswer: g**(-432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415512 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-11))\/i*(i*(i**(-9\/5)\/i)\/i)\/i)\/((i**1*i)\/i**(-1\/2)) assuming i is positive.\nAnswer: i**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4277977 litres?\nAnswer: 427.7977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18313*h - 36558*h + 394*h**2 - 73*h**2 + 18245*h.\nAnswer: 321*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*p + 23. Let n(v) = -9 + v**3 - p + 15 + 7*v**2 - 3*v. What is the units digit of n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 19*k**2 + 28*k + 26. Let p be x(17). What is the units digit of 209\/p*1\/((-1)\/148)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (26 + 10 + -22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4\/5 (c) -13782555\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5763 - -1.\nAnswer: -5762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24804 is divided by 3178?\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-2)*(-1043)\/14.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 99145*m - 49574*m - 49572*m. Let f(n) be the third derivative of -5*n**4\/6 - n**2. Determine f(l(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 33 = 2*s - 6*s, g + 30 = 3*s. Suppose -6*c = -5*j - s*c + 4898, 5*j - 4894 = -4*c. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 2485 - 2498 + 4962. Give t(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*c*q**3 - 265*q**3 with respect to c.\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 times -3200?\nAnswer: 1936000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23951 + 411991185?\nAnswer: 412015136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 1 - l + 3*l)*(301*l - 794*l + 316*l).\nAnswer: -354*l**2 + 1770*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.271 + -3.271. Let i = 1 + -1. Let d = 1.2 + -0.2. What is the nearest to i in t, d, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/(2\/6). Suppose 0 = z + y*z - 6. Suppose -w + 5 = -3*g - z, 3 = -5*w - 4*g. What is the highest common factor of w and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*r + 69, -r + 9 = -2*p - 6*r. Let h = 1024 + -9260\/9. Calculate the common denominator of h and ((-2)\/p)\/(2\/(-154)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 539 and 190729.\nAnswer: 1335103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 7*r**3\/6 + r**2\/2 + 2*r. Let l be q(1). Suppose l + 14 = 2*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5445835, -10891670, -16337505, -21783340, -27229175?\n\"Answer: -5445835*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/((-3)\/2 - 0). What is the least common multiple of (-3 - -1)\/((-2)\/8) and g\/9 - 20\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1564 divide 33228526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 819442949 a multiple of 3828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 8 = 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 + 5*x**3\/3 + 2*x**2 - 21. Factor y(s).\nAnswer: s*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 2*d**2 - 2*d**2)*(0 + 0 + d) + (-4 - 1 - 52*d**2 + 48*d**2)*(0*d + 0*d - 2*d).\nAnswer: 6*d**3 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3 - 2433*g**2 + 104010*g - 459600 = 0. What is g?\nAnswer: 5, 40, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1563777671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/13))**17\/((l**(2\/41)\/l)\/(l*l**(1\/8))) assuming l is positive.\nAnswer: l**(92493\/4264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 y when three letters picked without replacement from {t: 4, j: 3, y: 2, p: 9}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22299 (base 10) to base 7.\nAnswer: 122004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147*-6.\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*f - 5*v - 5, -6 = -2*f + 2*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10839586?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13508246, -13508245, -13508244, -13508243, -13508242, -13508241?\n\"Answer: d - 13508247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**2 + 54*r - 2*r**2 - 106*r + 52*r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k\/(k**(-2\/13)\/k*k))*k**(-9))**(-38)\/((k*k**(7\/3)\/k*k)\/(k**(-1\/4)*k)*(k\/((k**3\/k)\/k*k))\/k**(-3\/5)) assuming k is positive.\nAnswer: k**(328897\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/k**(-5\/6)*k))*k)**(-33)*(k**(2\/3))**(12\/11))**(-44) assuming k is positive.\nAnswer: k**5534","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 0. Suppose 2*n - y = 3. What is the third derivative of -2*j**3 - 4*j**5 + 4*j**2 + 0*j**3 + 2*j**n wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1172)\/(-52) + -23 + -2*(-738490)\/52.\nAnswer: 28403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12\/r**(2\/5))\/(r*r**7*r**9) assuming r is positive.\nAnswer: r**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 498226342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230*s - 31 - 121*s - 112*s)*(17*s - 20*s - 34*s).\nAnswer: 111*s**2 + 1147*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/13202718 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-2)\/14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 604. Let k(a) = -6*a**2. What is k(j(z))?\nAnswer: -24*z**2 + 14496*z - 2188896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 76. Suppose z = f - 205. Calculate the highest common factor of f and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343442315.\nAnswer: 5, 68688463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 7*k + 5. Let j be b(-7). Suppose 3050012 = j*a + 3*y, 5*a + y - 3050004 = -0*y. Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 10*o**2 - 9*o - 1. Let q be y(9). Let u = 11 + q. Solve -z + 3*b = 0, 0*z - u = -2*z - 4*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4998 or -5000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.922123259 + 0.194456531. Let l = -1.1165 + s. What is l rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 234, 860, 2062, 4032?\nAnswer: 6962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -65707\nAnswer: -591363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 0)*15\/6 + (-1657 - -1657). Let w = 13 - 4. Sort h, -1, w, -4 in descending order.\nAnswer: w, -1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/(1\/(-4)). Solve 4*u + n*h - h + 4 = 0, -h + 5 = -5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.4156 to zero dps.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose s = -t*s. Let a = 3538 + -3533. Solve -10 = -a*z - s*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. What is m in 2*m**5 + 4*m**2 - m**4 - 2*m**a + 0*m**2 - 3*m**2 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-134890)\/(-175) + (-1)\/(-5)?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1944 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380) - -4*sqrt(380)*-1)\/(sqrt(490) + (sqrt(490) - sqrt(490)*2) + sqrt(490) - sqrt(10)))\/((sqrt(2) + sqrt(10)\/sqrt(5))*-6*5*5).\nAnswer: sqrt(19)\/600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 3) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 242 + 72 = -3*y, -3*f - 95 = -2*y. Calculate the greatest common factor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8576706*i**3*u**2 + i**3*u + 3*i**3 + 4*i**2*u - 9*i*u + 2*u**4 - 209 wrt u?\nAnswer: -17153412*i**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133962 by 22327.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 107 - 109 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1392 (base 10) to base 15.\nAnswer: 62c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3940862, 3940865, 3940856, 3940829, 3940778, 3940697, 3940580?\n\"Answer: -g**3 + 10*g + 3940853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 = 9. Let y = -4 + 7. Let w be (-5 + y - -3) + 1. Solve 3*d + 6 = -h*p, 3*p = -w*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1907416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309\/6*(-7 - -9) is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 + 1865*v**4 - 31490*v**3 - 916880*v**2 + 4050720*v = 0. Calculate v.\nAnswer: -388, -18, 0, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75944 is divided by 101.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**6\/300 - b**5\/200 + b**4\/60 - 5*b - 54. Let q(c) be the first derivative of t(c). Factor q(a).\nAnswer: -a**2*(a - 1)*(a + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = u + 5, -3*a + 63*u = 68*u - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + i**5 + (0*i**3 - 2*i**3 + 3*i**3)*(11*i**2 + 3*i**2 - 3*i**2) + (9*i**4 + 14*i**4 + 7*i**4)*(0*i - 4*i + 0*i).\nAnswer: -108*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 3 - 3\/2*m**2 - 5*m. Let g(w) = -w**2 - 4*w - 4. Let j be g(-4). Determine p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 3:57 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 153?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106724749 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333243 - 114?\nAnswer: 333124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -249, 11\/4?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 2136?\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 6*t + 33 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -369 + 368. Sort 53, i, -3.\nAnswer: -3, i, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14977?\nAnswer: 17, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 15*p**2 + 21. Let w be b(15). Let y = w + -19. Suppose 113 = y*m - 0*m + k, 2*m - 3*k - 109 = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 2581.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/3 - 3*r**2 + r - 1. Let y be h(-6). Is 2 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4 - 5*y**2 - 4 - 3*y - y**3 + 0. What are the prime factors of p(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2*a**3 + 5\/2*a**2 + 6*a - 5\/4*a**4 - 26. Find the second derivative of k(c) wrt c.\nAnswer: -30*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 5 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 15?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38709*d - 3*f - 45 = 38693*d, -d + 3*f = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36206, -72444, -108622, -144740, -180798, -216796, -252734?\nAnswer: -288612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - b + 0 = 7, -j = 5*b - 20. Suppose -d - 14 = -j*o, -5*o - 3*d + 9 = -3*o. Suppose -o*m = -7*m. Solve c = -3 - m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578761?\nAnswer: 449, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 0) + (-6)\/(12 + -6). Let k be 5\/33 - 2\/j. Which is the nearest to 4? (a) 1\/3 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 151 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2, k: 2, v: 1, i: 1}. Give prob of sequence kk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23029 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7197 <= 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 442 divided by 3?\nAnswer: 442\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 - 11*c**2 + 2*c - 7. Let i(o) = -o**3 + o**2 + o - 1. Let k(d) = 2*i(d) + u(d). Is 11 a factor of k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2 - 8. Suppose u*s = -4*s + 120. Calculate the highest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 137199.\nAnswer: 4\/137199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 71, 154, 279, 452, 679?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -131436 + -240?\nAnswer: -131676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*i - 5. Let a(g) = -g**2 + 4*g - 1. Let q be a(i). Is 20 a factor of -56*3\/(-9)*q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9654 and 1394?\nAnswer: 6728838","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/175*15*(-2)\/(-2))\/(168\/(-30))?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 5*f - 4. Suppose -3*j = 2*j + 15. What is the units digit of q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10475140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = t, 4*t - 4 = -0*t - 2*w. Suppose -3*i = -93 + 21. Calculate the remainder when i is divided by 2\/t*26\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28685 is divided by 3187.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose 4 = o*y - 4. Suppose 4*l - l - 9 = 0. Solve -l*s + 2 = 2*i, y*i - s + 2*s = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979 is divided by 982.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, -1\/8, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3727 = 2521. Let t = g + 842. Is 21 a factor of 2 - (t\/5 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.1, 1\/2, -14, -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + (-537966)\/(-37620) + ((-4)\/14 - 3\/210). Let k = -27 - -47. Calculate the highest common divisor of i and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330770489?\nAnswer: 7, 47252927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 754 + -727. What are the prime factors of ((-9)\/p)\/(1\/(-2139))?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 - 1561*q - 2. Let t(u) = 2284*u. Calculate p(t(a)).\nAnswer: 10433312*a**2 - 3565324*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 + p. Let s = -2 - -2. Let k be y(s). Suppose j + 1 = -2, 3*a + 4*j = k. Sort 5, 0, a.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8736 and -1621240.\nAnswer: -1621239.1264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33205, -33208, -33211, -33214, -33217?\n\"Answer: -3*p - 33202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4224*m - 387 + 467 + 2226 + 1260*m + 4907 with respect to m.\nAnswer: -2964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3576*u**4 + 668*u + 40551555 wrt u?\nAnswer: 14304*u**3 + 668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20904.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4766.52g?\nAnswer: 0.00476652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 235.86 - 236. Sort g, -1, 1 in ascending order.\nAnswer: -1, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1721384 by 245912.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*h*v**2 + 80*h*v + h + 3*v - 1097 wrt v.\nAnswer: 10*h*v + 80*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -33*y**2\/2 - 21*y + 5. Let c(x) = -8*x - 5. Let i(s) = 21*c(s) - 5*t(s). Let p(j) = -13*j - 3. Determine i(p(w)).\nAnswer: 39*w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5) - (-8 - 767\/(-65))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/6 (b) 1\/14 (c) 1\/3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 337 = -h, -73*h + 68*h = 2*z - 1697. Calculate the remainder when h is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*d**2 - 795*d**2 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(8\/(-6)*6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4013 - -5.4013. Which is the second biggest value? (a) v (b) 4\/5 (c) -1\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/120 + i**5\/15 + i**4\/3 + 2*i**3\/3 - 74*i**2 - 2*i. Give v(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 5246515168.\nAnswer: 5246515168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -135, -118, -99, -78, -55, -30, -3?\n\"Answer: m**2 + 14*m - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d = -10*d - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 35*a**3 + a**2 - a. Suppose -73 + 61 = -3*g. Suppose w - 4 - 3 = -2*j, -g*w = 2*j - 10. Is r(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6055.116 micrograms?\nAnswer: 6.055116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 8 - 2. Let b be 5 - k - 0\/1. Suppose 6*j - b*j = 6. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - -189. Let n = i + 48. What are the prime factors of n?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4 + 8.3. Let y = -5 + b. Let u = 3 - 8. Which is greater: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from shsdsdhshs?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -3*y + 8640. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240316 divided by 356?\nAnswer: 11911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 1:48 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.44 + -0.4. Sort 0, l, 0.3 in decreasing order.\nAnswer: 0.3, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -101, -167, -231, -293?\n\"Answer: w**2 - 71*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1993*l = 2690*l + 1268*l - 119020 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*d - 5 - 2, 2*u + 5*d = 26. Suppose -1 = n - f - 50, -15 = u*f. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 1115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-15)\/(-5))*4. Let x(t) = -6*t**2 - 6*t + 2. Let m(s) = 11*s**2 + 11*s - 4. Calculate d*m(q) + 7*x(q).\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4654 and 4852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g + 2*g**2 + 13 - 1 - 3. Let l be s(6). What is the greatest common factor of l and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -69. Let v(a) = a**3 + 9*a**2 + 2*a - 24. Let g be v(q). What is the highest common divisor of g and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Suppose r = 5*l - 3, i*l = 2*l - 5*r - 15. What is the nearest to l in -1, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-5)\/(-20)) + 19. What is the highest common divisor of 23 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578304 divided by 289152?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16908 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8088423.\nAnswer: 3, 7, 283, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16.092*-0.24\nAnswer: -3.86208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*k - 1128 - 642, -2*k = -4*n + 1404. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*l - 13, 354*w = 181*w + 177*w + 10*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 11. Let z be 2\/h*12\/(-10). What is the smallest value in -1, 5, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-9) + 112\/(-1008). Let g(p) = -p**2 + p + 14. Let f(z) = -3*z**2 + 4*z + 41. Determine u*f(j) - 7*g(j).\nAnswer: j**2 + j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15834 (base 10) to base 7.\nAnswer: -64110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715, 5660, 19065, 45154, 88151, 152280?\nAnswer: 241765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113 is divided by 1329?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-90)*3)\/(1\/231). Let b = z - -241. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/29 in 66.66, 2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5))*-6 + sqrt(720) + 0.\nAnswer: 12 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -47*o + 4. Let i(a) = 238233*a - 3 - 119078*a - 119109*a. Give -4*f(m) - 5*i(m).\nAnswer: -42*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 45 + 55*g + 31 + 38 - 114. Let d(p) = -5*p. Determine r(d(m)).\nAnswer: -275*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 0*p + 4*p)*(-p - p + p) + 3*p**2 - 3*p**2 + 2*p**2 + (2 - p - 2)*(-2*p - p + 4*p + (-10 - 37 + 4)*(2*p - 3*p - p)).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a minute in seconds?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f**5 + 2*f**3 + 7303*f**2 - 197621*f wrt f.\nAnswer: -160*f**3 + 12*f + 14606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*r**2 - 32*r**2 + 38*r**2)*(-2*r + 4*r - 3*r)*(-2 + 1 - 2 + (-2 - 1 + 1)*(-5 + 2 + 4))*(-1 + 0 - 2)*(1 - 2 + 0).\nAnswer: 1170*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28406, 37, -3 in decreasing order.\nAnswer: 28406, 37, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -38. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6279750 is divided by 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32206 is divided by 358.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 7) to base 3.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*x + 27. Find the third derivative of -x*a**3 - a**2 - 3*a**3 + 2*a**2 wrt a.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9 = 16, -5*r = 5*s - 45. Suppose -s*b + 4 = -4*w, 4*b + 5*w = b + 27. What are the prime factors of 4 + 78 - b\/1?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j - 2*j - 5 + 2 + j. Let v be k(-6). Let r(y) = 2*y - 1. Calculate r(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 46*t**4 - 4*t**3\/3 + 11*t**2\/2 + 7. Find the third derivative of a(z) wrt z.\nAnswer: 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14022*b**5*z - 67*b*z + 2*b - 2 wrt b.\nAnswer: -280440*b**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 28 - (11267 + -11202).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.15 to 0 decimal places.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202027*v**3 + 143740*v**2 + 2 wrt v?\nAnswer: 1212162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:48 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1242*x - 1262. Determine z(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 18*w**2 - 12*w + 42. Let k be u(-17). Suppose 2*v - 180 = -2*v. Let f = k + v. Solve 15 = -4*x + 4*i - 9, x - f = -i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2478*i - 2234*i - 1801*i + 7867*i - 2831*i.\nAnswer: -1477*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*z - 122666 = -89*z + 28*z - 141722 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 209 - (-1 + 139) - 16\/2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 + 33 = -20*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 443335?\nAnswer: -443338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 3*q**2 + 3*q + 1. Let a be p(-3). Let i be a\/10 + 2\/5. Suppose -2*b + 2*v = -2*v - 14, -2*v = -4*b + 10. Are i and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - 2*d**2 + 2*d - 1. Suppose -1 = 5*w - 6*w. Let c be r(w). What is the derivative of 17*p**2 - 5*p**2 - 7*p**c + 20 wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1*(-1 + 0). Let l be -1 + (-22)\/(-8) + p. Sort -2\/3, 5, l in ascending order.\nAnswer: -2\/3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 29. Calculate the greatest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3673 (base 13) to base 7\nAnswer: -31306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 3 (b) -3 (c) 5 (d) 7 (e) 67\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5470 - -5465. What is the second biggest value in -3173, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/42)\/((324\/(-63))\/3).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 760?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2)*d*d**(-19))**5 assuming d is positive.\nAnswer: d**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 4:32 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5720175l?\nAnswer: 572.0175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 2. Let v be (0 - 0) + (-3 - -5). Let j be o(v). Let b(a) = 2 + 3*a - 3*a - 2*a. Calculate b(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 90, -0.3, 41, -3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.14 + 12.\nAnswer: 10.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (5 + -1 - 0). Suppose -3*d - 5*i + 166 = k, -d - 4*i = -6*d + 289. Is 56 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*w - 30, -4*y + 20 = -2*y - w. Let p = 0 + 1. Let g = p - 0. What is the smallest common multiple of g and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -46427 divided by -9571\nAnswer: 2731\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v**2 - 11*v - 2. Calculate w(-4).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -8 (c) -1\/3 (d) -4 (e) 2 (f) 3194\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeec when four letters picked without replacement from {h: 6, e: 1, c: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55922946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 3 = v. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 80 + 180. Suppose -15 + 5 - 4*s**4 + n*s**2 - 2*s**4 - 2*s**5 + 4*s**3 - 4*s**4 - 2*s = 0. Calculate s.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.396354 rounded to two dps?\nAnswer: -172.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/12 - 5*b**4\/24 + 7*b**2. Solve h(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 9*t**2 - 3 - 11)*(-22 - 47 - 8).\nAnswer: -693*t**2 - 385","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56\/10 + 1 + -7\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 699*w**5\/10 + 569*w**3\/3 + 48*w - 2. What is the second derivative of n(a) wrt a?\nAnswer: 8388*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + 2*n**2 + 11*n. Let m be o(0). Which is the nearest to -0.06? (a) m (b) 3\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*o - 1113 - 356 = -63*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18439*u**4 + 2*u**3 + 12*u**2 + 35*u - 12535 wrt u?\nAnswer: -221268*u**2 + 12*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c + 525. What is j(-48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 15 - 31 = 0. What is the greatest common divisor of z and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1229552*k + 1056. Let x be r(-47). What is x rounded to the nearest 1000000?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77\/70097697 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121794154.\nAnswer: 2, 17, 23, 155747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1))\/i)**5\/(i\/(i\/(i\/i**(-2\/7)*i*i))*i*(i*i**(-2\/11)*i)\/i))\/((i\/(i\/(i**(-1\/2)*i)))**(-12\/19))**43 assuming i is positive.\nAnswer: i**(5084\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 650922619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (234\/208)\/((-2)\/(560\/(-15)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*144\/540*(-3)\/(-9)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 + -11507?\nAnswer: -11433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + 1 + -1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1986*a**3 - 121*a**2 + 2*a wrt a.\nAnswer: 11916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*(-123)\/82?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trtt when four letters picked without replacement from {r: 12, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5 + 15235*x**4 + 30430*x**3 - 60910*x**2 - 30435*x + 45675 = 0. Calculate x.\nAnswer: -3045, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 352*h**5 - 2*h**3 + 1079*h**2 wrt h?\nAnswer: 21120*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:55 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/5 - 15378*h**4 - 3167940*h**3 - 70127456*h**2 - 545280768*h - 7165495296\/5 = 0. What is h?\nAnswer: -38238, -183, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*j + 887, -j + 549 = 3*a - 343. List the prime factors of a.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 410 = 5*z, 4*r - 2*r - 212 = z. Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149696631?\nAnswer: 3, 7, 43, 55259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - u**4 - u**4)*(1 - 6 + 1)*(1 - 1 - u) + (-u**4 - 3*u**4 + 8*u**4 + (u**2 - 3*u**2 + u**2)*(-3*u**2 + u**2 + u**2))*(46 + 5*u - 46).\nAnswer: 21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1. Let h(x) = 2*x**2 - 2*x - 6. Let p(q) = h(q) + 2*j(q). What are the prime factors of p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5*u**39*u*u*u**(1\/17)*u*u**(-29) assuming u is positive.\nAnswer: u**(307\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128 (base 9) to base 15.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -443465 bigger than -443464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20746091*t**3*x**3 + 3*t**3*x + 159*t**3 + 2*t**2*x + 36*t - 17*x wrt x.\nAnswer: 124476546*t**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 5*l = -2 + 4, 3*l - 18 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -129.\nAnswer: 4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40307580 and -1263?\nAnswer: 40306317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -457956*n + 4. Let g be v(-10). Let c = g + 470436. Round c to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8)*(-376442)\/(-31812).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 2, u: 2, a: 6}. Give prob of sequence ja.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8*f. Suppose 2*p = -f*p. Solve p = -0*i + 3*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3152*i**2*z**3 - 4642305*i**2*z + 296*i*z**3 wrt z?\nAnswer: 18912*i**2*z + 1776*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - k = 16, -f + 2*k + 8 - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -2, -112 in ascending order.\nAnswer: -112, -7, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 - 2*b**3 + 4*b**3 + (-3 + 2 + 3)*(2*b**2 - 2*b**3 - 2*b**2))*(-1 + 1 - 6*b**2).\nAnswer: 42*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(1792))**2 + -2*(sqrt(1792) + 2) - (-3*sqrt(1792)*1*3 + 1).\nAnswer: -7189 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dssdddsddddssd. What is prob of picking 1 s and 3 d?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*x - 289, -2*x = 6*j - 5*j - 113. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -615475 + 2050?\nAnswer: -613425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:20 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(77)\/(sqrt(22)\/sqrt(2) + sqrt(11))*5.\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13223372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 139393782?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 3 (c) 0.95 (d) -40\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 13*y - 6. Calculate u(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 11*u**2 - 6*u + 411. What is d(-14)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.32467 + 4.92797. Let j = -2.3 - 2.3. Let y = a + j. What is y rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1276 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.98 and 212.4864.\nAnswer: -208.236672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 1\/5, 2, -7 in descending order.\nAnswer: 2, 1\/5, -1\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183 - 1701?\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f. Let r be 4 + f + 2 + -4. Suppose -19 = -r*x + 73. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186 - -334. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18*w + 23. Is g(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.44, 0.47, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*f - 204*f = 97*f + 16250 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3608.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 8.76.\nAnswer: -315.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7375982 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3132111 (base 6) to base 16\nAnswer: -2522b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*i - 2. Let x be 64000\/(-6)*(-300)\/i. What is x rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 1 = x. Let v = x + -9. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-1080)*-4*174?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by -8273\nAnswer: -184\/8273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/5*1392\/48. Which is the closest to 3? (a) 0.4 (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 13, -80420, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -2*s**2 - 2. Let v be (-2)\/(-8) + (-4)\/16. Let j(w) = 2*w**2 + v + 0. Calculate j(d(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*r + 3*r. Let z(c) = c**3 + 5*c**2 - 7*c - 6. Let f be z(-6). Suppose 2*m + 5*x - 2 = f, -r*m + 4*x + 6 = 1. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*y + 186*y + 220*y + 9 = 3*i, 26 = -5*y + 4*i for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169194 and 6019362.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 4 = 9, 0 = -c - a + 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leellqilerleeie. What is prob of picking 1 q and 1 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 32 - 32 - 50*b**2 + 6*b**2.\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/((84\/70)\/((-3)\/15))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 54. Suppose y - 139 = -m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -56.4, -0.01, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o + 10 - 48. Let q(m) = -2*m**2 + m**3 - 3*m - 1 + 2*m**2 + 4*m**o. Give q(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -41)\/(-6) + 4\/(-2). Suppose -6*m + m - 298 = -n, -r*n + 1156 = -2*m. Let u = n - 103. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f - 155*f = 96*f + 4592 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 6*f + 161. Suppose 2 = t + 2*c, 0 = -0*t + 2*t + 5*c - 2. Suppose t = z + z. What is the least common multiple of z and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 7\/6 (c) 3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*d + 1 = 0, -2*a + 38 = -3*d + 15. Suppose -2*y = 2*m, -2*y = 5*m - a*m + 4. Solve 4 = 3*v - m*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 9:22 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, 12, 1\/5, -0.409?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 - 712 = 114*t + 286 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -700731*r + 2102169. Calculate v(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = -2357*c + 2342*c - m, -3*c - m = -47 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/3)\/1)\/((-1352)\/(-78) + -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/(-10))\/(-13)*2*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 + (-4)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f - 1. Let s be t(-1). What is the smallest common multiple of (-1)\/(-3) + (-51)\/(-9) and (1 + -2)\/(2\/s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 30 = 2*x, 4*k + 4 = 37*x - 146*x + 49*x + 58*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -57523374+-120438\nAnswer: -57643812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeekelieilkeleieeeee. What is prob of sequence kk?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977895617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10577356?\nAnswer: 2, 2644339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3311 (base 4) to base 12.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31845*n**2 + 24889*n**2 + 4982*n - 64526*n**2 wrt n?\nAnswer: -15584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3, -703, 4.\nAnswer: -703, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*66524542\nAnswer: 19957362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 5*t**4\/24 - 13*t**3\/3 - t**2 - 4*t. Suppose 0 = 2*s - 81 - 201. What is the remainder when s is divided by z(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110*b**2 + 67*b - 17793.\nAnswer: 220*b + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + h + 3*h - 58*h + 3 - 9 + 4 + 2*h - 2*h + 2*h + 3*h - 4*h + 0*h + (2*h + 1 - 1)*(1 + 1 - 1) + 4*h + h - 4*h to the form g + x*h and give x.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14784 - -5?\nAnswer: 14789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -12112?\nAnswer: -12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**2 + u + 16. Let b be f(-8). Is -17 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(650\/2020) - 4\/(-10). Are -64 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:34 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 210 = 2*u. Let g = u + -30. Suppose 131 = 5*w - r + 4*r, w - 4*r - 40 = g. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n + 39. Let p be u(-19). Let f be (-112)\/64*(-8)\/1. Calculate the highest common divisor of p and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -0.1, -0.04, 2.\nAnswer: -0.1, -0.04, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + k + 13 - 8 as y*k + v and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 362489785.4 rounded to the nearest 1000000?\nAnswer: 362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 11*r**2 - 10*r + 3. Let g be d(-10). Suppose -2*q - g*w - 6 = 5, -13 = q + 3*w. Is (-1 + (-138)\/(-4))*q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17614 and 16?\nAnswer: 140912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:28 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4320)\/675 + 3*2. Which is the fourth smallest value? (a) 2\/13 (b) 0.1 (c) 4 (d) k (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17627*j + 773800 = -7027*j for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -31, -40, -35, -10, 41, 124?\n\"Answer: x**3 - 2*x**2 - 18*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3826170 = -3826160, 5*z - 3*k = 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - 3. Suppose 2*z = r + 2 + 2, y*z + 5*r = 40. Suppose 2*l + 12 = 5*l. Solve 0*m + 5*k + l = m, m + 5*k - z = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 - 3*n - 17. What is q(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211202 - -12?\nAnswer: 1211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 1. Let k be (1 + 6\/(-10))*(-540)\/(-72). Suppose -11 = -t - 2*u, u - 3 = -k*t + 15. Let y(q) = -2*q - 5. Determine t*j(w) + y(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y - 20*y - 16 + 3*y + 8*y. Let l be (3*-4)\/(6\/(-4)). List the prime factors of j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00808498 to four decimal places.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -792947\/338 - -2346. Let b = n + 8439\/3718. What is the common denominator of b and 19\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64106890*p**3 + 32053461*p**3 + 32053487*p**3.\nAnswer: 58*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxfqqxxqxxxqfj. Give prob of sequence jf.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*w + 5*g + 26, 5*g + 59 = -13*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8684 + 0.2316. What is the smallest value in -3, y, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 944*i - 77078. Calculate t(-71).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 - 34. Solve -t = -3*x - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 1. Let t be 1 + (-655)\/16 - 2. Let v = t - k. Which is the second biggest value? (a) 5 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-874)\/76 + (-51)\/102?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let x(d) = -d**2 + 9*d + 2. Let b = -14 - -23. Let v be x(b). Let a(t) = -v*t - t - t + 2*t. Calculate a(o(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 206005.1um in centimeters?\nAnswer: 20.60051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -4)\/(-32) - 29\/(-4) - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y + 2. Let w(k) = 6*k + 15. Let m(b) = -11*b - 45. Let g(z) = 15*z + 61. Let u(f) = -3*g(f) - 4*m(f). Give y*w(d) - 11*u(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739379?\nAnswer: 3, 31, 59, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7889119633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*n = -744, 14*k - 18*k + 1537 = 3*n. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353 is divided by 327.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-62)\/(-8) - 4) + -4. Is 1.3 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3 + (sqrt(4050) + 0 - sqrt(4050)) - ((sqrt(4050) - (sqrt(4050) + sqrt(4050) + (sqrt(4050) - sqrt(4050)*3))) + -2 + sqrt(4050))))**2*6 + 0.\nAnswer: -4320*sqrt(2) + 97296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*i = -3*k + 603*i - 4, 5*k - 5*i - 40 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 + 153*k**2\/7 - 1404*k\/7 + 2028\/7 = 0?\nAnswer: -13, 2, 26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4754300 to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(243) - (-3*sqrt(243) + sqrt(243))))**2 - (sqrt(243) + -1 + 5).\nAnswer: -9*sqrt(3) + 54671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72170897 to the nearest integer?\nAnswer: 8495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13.9, -3, 29, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 13. Let s be d(18). Solve 0 = 3*u - 10 - s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439, -2381, -3943, -6119, -8903, -12289, -16271?\nAnswer: -20843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 3\/7, 0.065, -4, -0.1, -136?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 123?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 16*z**2 - 57*z - 2. Let m be s(19). Is -35\/32 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -31 - 30 + 4*w + 97 + 7*w - 31. Let k(n) = -3*n**2. What is d(k(l))?\nAnswer: -33*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5)*-2*-5)**2 + -1 - 6*(-4 + (sqrt(5) - sqrt(15)\/sqrt(3))))*3.\nAnswer: -4707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 7 - 13 + 41 + (-2 + 1 - 1)*(-u + 4*u - 2*u))*(u + u + 0*u)*(6*u - 5*u - 3*u).\nAnswer: 16*u**3 - 84*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 419*s**2 - 1258*s + 4. Calculate v(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*u = -627, 0 = -r - 5*u + 108 + 118. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88.8 - 47.7. Let w = 41 - u. Which is the fourth smallest value? (a) -0.4 (b) -0.2 (c) w (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2024 and 35144?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/37 (b) -7715 (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + 0 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8525 + -8495. Let q = -1 - -1. Suppose -2*m - f + 19 + 67 = q, 0 = -m + 4*f + 61. Calculate the greatest common factor of j and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2545 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/4 - 2*y**3\/3 - 288*y - 2. Let n(b) = 2*b**2 + 3*b. Give -5*f(h) - 6*n(h).\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.4 + -7.5. Sort g, -0.06, 2\/9 in decreasing order.\nAnswer: 2\/9, -0.06, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**43*s**(-29)*s*s*s\/s**(-2) assuming s is positive.\nAnswer: s**(-139\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 2*w - 24, 2*q - 4 = -5*w + 8. Let p(g) = -g**3 + 7*g**2 - 6*g + 3. Calculate the remainder when 11 is divided by p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baz when three letters picked without replacement from ztakbbar?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2201 - -2200.9. What is the nearest to m in 2\/15, -4, 4, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -759245 divided by -85?\nAnswer: 151849\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1648807 to 3 decimal places.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1 - -2) - -2. Let n(d) = -j*d + 29*d**2 + 4*d - 2*d. What are the prime factors of n(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*j = 38, 221*d - 64 = 218*d + 5*j. Let z = 6 - 1. Let v = 1 + 1. What is the second smallest value in z, -12, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3213122756 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s - s = -5*s - 31255. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -8) + (8 - 22).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k + 90. Let b be c(7). Suppose -13*y + b = -12*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28d (base 14) to base 9\nAnswer: -634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((157 + 104)\/(-261))\/(((-2)\/174)\/(1\/(-1)))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*p - 33, 5*p - 7*i = -11*i + 57. What is the smallest common multiple of p and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1824 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -352 and -352 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11*u + 240 = 0. Calculate the remainder when 168 is divided by 302\/u + (-41)\/(-328).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 678 and 651558?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {r: 1, h: 1, v: 13, c: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-6)*j*j)\/j*j\/j**(1\/4))\/(j**(-1))**(-7\/2))**(-5\/4) assuming j is positive.\nAnswer: j**(155\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 3*x + 88 = -5*m, -408 = -4*m + 2*x. Suppose 2*v + 3*d = m, -4*d = -3*v - d + 120. Calculate the remainder when v is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1165*g**2 + 26*g - 76. Is j(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 + y - 2. Let p be v(-3). Suppose -3*j - 5*a + 25 = 0, 3*j + 0*j = 2*a - 10. Suppose j = k - p*k. Sort -5, k, 5 in ascending order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/3, 2\/5, 0.3, -0.04.\nAnswer: -4\/3, -0.4, -0.04, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56, 198, 432, 764, 1200, 1746, 2408?\n\"Answer: h**3 + 40*h**2 + 15*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*5\/5)\/(216\/12)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/120 and -59\/13926576.\nAnswer: 69632880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*t + 2*r, -3*t - 35 = -0*r + r. Let v = 58 - t. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 706 or 691?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23376417.25 rounded to the nearest one hundred thousand?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 + 5. Let r(i) = -20*i**2 + 24. What is -24*h(d) + 5*r(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2516582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmiiwwimimwmi. Give prob of picking 3 w.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -6, -3\/5, -52, 8\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**2 + 0*i**3 - 1\/60*i**5 + 0*i**4 + 0 + 0*i. Let t(n) = 6*n + 6*n + n. Give t(w(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 4*c - 28. Let y(f) = f**3 + 6*f**2 - 7*f + 4. Does 2 divide y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (18 + -50 + 19) - 34?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 53*j + 1260 - 181 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.58 - 8.8. What is h rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101879, -101878, -101877?\nAnswer: -101876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 110 = 319 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.77321 millennia in decades?\nAnswer: 5177.321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 53, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 7*b + 66. Determine m(9).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a week in hours?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39107*v**2 - 129 + 4913*v**2 + 129 + 45254*v**2.\nAnswer: 89274*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)\/(b\/b**(-5)))\/((b\/((b\/(b\/(b\/((b\/(b\/(b*b\/((((b\/((b\/(b*b**(1\/2)))\/b))\/b*b)\/b*b)\/b))*b))\/b*b))))\/b))\/(b*b**(3\/7)*b)) assuming b is positive.\nAnswer: b**(-93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = -4. Suppose -n = v - 13. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 7*w + 650. Let m = 95 - w. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**3 - 23*q**3 + 53*q**3 - 42*q**3.\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -690*y + 937.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4110 - 1?\nAnswer: 410c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a factor of 272907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1 - 0) + -1. Let c be (-27)\/81*1*-3. Sort -2, a, c in descending order.\nAnswer: c, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 + (-41 + -6 - -55) + 22?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8239478?\nAnswer: 2, 13, 316903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 64. Suppose 8*j = 20 + u. Solve -j*p + 3*p = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*q = 18, 20 = 28*n - 25*n - 5*q. Solve -9*i = -2*a - 8*i - 15, -2*a + n = 4*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, u: 7, l: 1}. What is prob of sequence ulzz?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.0801 - 9211.9199. Let d = -9166.81 - i. Round d to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10264288086.06 + 3.1?\nAnswer: -10264288082.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-440)*-4*965\/579?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2 - 1. Let p(z) be the second derivative of z**3\/6 + 11*z. Determine q(p(o)).\nAnswer: -9*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50097.938 + -50145. Let a = -0.062 - g. Let s = 46.9852 - a. Round s to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 18 + -23 + 32 + 27?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -25. Let j = -13 + l. Let g = 8 + j. Which is the nearest to g? (a) -0.4 (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556233.\nAnswer: 3, 31, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 874538083 to the power of 1\/2, to the nearest integer?\nAnswer: 29573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 33, 36?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 551261.8 minus -44605?\nAnswer: 595866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -12. Let n(z) = z**2 + 5*z + 1. Let y(q) = 2*q**2 + 9*q + 2. Let t(p) = -7*n(p) + 3*y(p). Let i be t(-7). Is b != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14560 - -15298. Calculate the remainder when 747 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -223*r**2. Let t(i) = -26*i**2. What is t(k(b))?\nAnswer: -1292954*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 1007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1534917 times 0.1?\nAnswer: -153491.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34381*c*n + 25407*c wrt n?\nAnswer: -34381*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -189881 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.93314958 to the nearest integer.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 - 320. Let g be (m\/3)\/((-1)\/(-3)). Let d = -542\/3 - g. What is the common denominator of d and 3\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3708, 5, -0.1, 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2177.42.\nAnswer: -653.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z**2 + z - 12. Suppose 3*b - 37 = -3*m - 2*b, -2*b = -5*m + 41. Let w = m + -9. What is o(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 227, 329, 431?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -2)\/(5\/(-10)). Let w = 17 - s. Solve -h + w = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 90422.09 kilograms?\nAnswer: 90422090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c + 2 + 1 + 0.\nAnswer: 28*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 26*g**2 + 27*g + 72. Calculate c(-25).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*-14*(-167)\/((-32732)\/2016)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.857*-0.98\nAnswer: -0.83986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 9:34 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 - 43 + 2*w**2 + 11 - 25 in the form s*w**2 + v + d*w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Suppose w = y*w - 5. Let h(k) = k - 11. Determine h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -422, -2\/11, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from hshhhsshhssss?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(30\/(-4))\/5. Suppose 2 = 5*l - d. Is -1 + (l - -1) + 118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 114?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10541*g**3*y - 12451*g**3 wrt y.\nAnswer: -10541*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4682, -7361, -10046, -12737, -15434, -18137?\nAnswer: -20846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104547, 210302, 316057, 421812, 527567?\n\"Answer: 105755*g - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10928735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266043320 divided by 74.\nAnswer: 3595180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 30*f + 110. Let b be a(-2). Let q be (b\/10 - 5)*(0 + 1). Sort 126, q, -2 in increasing order.\nAnswer: -2, q, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416100\/43 at most 9678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 1 + 1 + (t - 2*t + 2*t)*(-2*t**2 + 0*t**2 + 4*t**2) - 21*t + 21*t + 6*t**3)*(-75*t**2 + 21*t**2 - 10*t**2).\nAnswer: -640*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o + 8. Let s be n(3). Let a be (7 + -17)*6\/s. Suppose -5*r + 4 = -a*r. What is the second biggest value in 0.5, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/((-55)\/(-66)) + (-1*12)\/2. Solve n = u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18620.55 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(600) + (sqrt(128)*5)**2.\nAnswer: sqrt(2)\/10 + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let m(g) = -g**3 - 3*g**2 + g + 2. Let f be m(-2). Let v(j) = 3*j. Let q(s) = f*v(s) - 11*b(s). Let y(o) = 2*o. Calculate y(q(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = -15. Let s be 0 + 0 - (r + -87). Let u be ((-18)\/(-5))\/(6\/15). Calculate the highest common factor of u and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -w + 13, u + 9 = 6*w - 5*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**2 - 3*m + 5\/6*m**3 + 0. Let q(f) = 34*f - 22. Let g(z) = 12*z - 8. Let l(t) = 11*g(t) - 4*q(t). Give 2*b(p) + 3*l(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*a + 118, -2*r + 295 = 5*a + r. Let j = -19 + a. What is the smallest common multiple of j and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**4\/24 - 7*j**3\/6 + 4*j**2. Calculate f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-93 - 0)\/(-7 + 6). Let f = u + -12. Let p = -21 + f. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.4 (b) -0.5 (c) -0.1704 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 287306459 to the power of 1\/2, to the nearest integer?\nAnswer: 16950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1522.9974604 - -1523. Round b to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -4. Let x = c - -2. Suppose x = -4*z + z + 21. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((490\/(-15))\/7)\/((-2)\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 12. Suppose -o = j*o - 40. Suppose 5*f + q - 35 = 0, 2*f + f = 2*q + o. Calculate the remainder when 11 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3 + -1) - -2. Let r be (w - -54)\/((-120)\/25 + 5). What is the highest common divisor of 25 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311 by -249.\nAnswer: -311\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 2755?\nAnswer: 22040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 1. Let q be 0 + (-1)\/((-2)\/(-6)). Let x be u(q). Let s = 1445\/8 - 181. Which is the closest to -1\/3? (a) 5 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 2*l**3 + 207*l**2 - 880*l - 1088.\nAnswer: -(l - 8)**2*(l + 1)*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 10012100012?\nAnswer: -10012100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5972 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121\/2 - -61. What is the closest to 1\/3 in 5, k, -90?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/2 of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1696, -1618, -1492, -1318, -1096?\n\"Answer: 24*c**2 + 6*c - 1726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 297061 = 0. Suppose -4*q = -3*f + 477175, 3*f + q + 318120 = 5*f. Let o = h + f. What is o rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + z**3 - 2 + (-z**2 + z**2 - 2*z**3)*(-2 - 1 + 4) + 3*z - 52 - 19 - 2*z**3 - 3.\nAnswer: -3*z**3 + 3*z - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.0485, 0.01, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226 + 90 - 514)*(-w**3 + 3*w - 3*w)*((2 + 6 - 2)*(w - 2*w - w) - 3 + 3 - 4*w).\nAnswer: -3168*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-22)*40\/(-15)*(-297)\/(-110)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 292 and 0.3.\nAnswer: 87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.41 - -0.09. Sort -1\/6, 1, k, 2\/13.\nAnswer: -1\/6, 2\/13, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.8, -2\/5, 5 in decreasing order.\nAnswer: 5, 2\/17, -2\/5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m = 45. Let g be 21 - 8 - 4\/1. What is the greatest common factor of g and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:19 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*w - 2*w. Suppose -j + 5*d = -w, 2*d = j + 4*j - 50. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 34858\/(-116)*4\/(-6). Let k = g - 199. Factor -4\/3 - 1\/3*d**2 + k*d.\nAnswer: -(d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1024 (base 5) to base 16.\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*1\/15*79290\/(-52860)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 946 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x. Let h(p) = -1538*p - 156. Give a(h(i)).\nAnswer: 3076*i + 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 82*3 - (3 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 11*n**2 + 11*n - 40. Calculate z(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -2.33?\nAnswer: 16.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + (1*sqrt(76)*-1 - sqrt(76)) + -5)*-3)**2.\nAnswer: -13680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505844 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -311225*h**2 - 8*h - 12. Let u be l(-14). Round u to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Suppose -q - q = -18. Let p be 114\/(-8)*8\/(-6). Let f(r) = -q*r + p*r - 12*r. What is f(y(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 17. Let u = 28435 - 28435. Calculate a(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01094564 to 5 dps.\nAnswer: -0.01095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0722 or 1\/3?\nAnswer: -0.0722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 4*n**2 + 2. Let b(f) = 4*f**3 + 5*f**2 + 2. Let q = 1014 - 1012. Determine q*b(r) - 3*d(r).\nAnswer: -r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 14*l**2 + 1370*l - 10289. Determine w(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0369 + 0.0353. Let t = 0.0017116 + s. Round t to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2961727ng in grams?\nAnswer: 0.0000000002961727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = p. Suppose 4*n = -l + p*l + 4424890, -l - 2212444 = -2*n. Let j = n + -2346223. Round j to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -68 (b) -3 (c) -5\/23 (d) 2 (e) 43 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 131*s**2 - 62*s + 201. Let x be g(-65). Solve -5*n = -2*n - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 p when four letters picked without replacement from ppupqqpqpppquppppqp?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 6*i + 5. Let c be y(0). Let l(w) be the first derivative of 0*w + 2\/3*w**6 - 1 + 11\/5*w**c + 9\/4*w**4 - 1\/2*w**2 + 1\/3*w**3. Factor l(x).\nAnswer: x*(x + 1)**3*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*1.5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 1. Let j = 0.7539 - 2.7539. Put d, j, 0.03 in descending order.\nAnswer: 0.03, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = g + 3*s - 11, 0 = 3*g + 4*s - 28. Let q = 6 - 13. Let c = g + q. Is c > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15051664 and 6.\nAnswer: 45154992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjuhuv. What is prob of picking 1 h and 2 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*s + 265 - 24, -3*j = -2*s + 249. What is the remainder when s is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 2 = f. What is the remainder when 69 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1930885 is divided by 643596?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -0.4. Sort -6, 2, j in descending order.\nAnswer: 2, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1355\/9 - -151. Let w = p + 2\/9. Let n = 5.05 - 0.05. Which is the second biggest value? (a) w (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**3 - 8*a + 1. Let c(t) = 9*t**3 - 9*t + 1. Let z = -9 + 16. Determine z*y(x) - 6*c(x).\nAnswer: 2*x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 241 + 115 + 145 - 38*r.\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1350 = 2*i + 4*i. Let h be 4 + 12\/9*i\/(-74). Which is bigger: h or -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9869 (base 10) to base 11\nAnswer: -7462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3550615 months in centuries?\nAnswer: 0.00196255125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 155\/10 + (-1)\/2. Let x = 2 - -2. Suppose 0*o + 4*q - c = o, -5*o + 21 = x*q. Calculate the greatest common divisor of o and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -79*g**3 - g**2 - g. Let o be 3\/(-5) + (-2)\/5. Is v(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3 + 2*z - 5 - 4. Let l be q(4). Suppose 14 = g - l*h - h, -5*g - 2*h = -36. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 19*s**2 - 2*s - 15. What is r(-19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(44)\/sqrt(4) - sqrt(44)\/sqrt(4)*-4) + 1)**2 + 6*(6*(-2*(-3 + sqrt(11)) + sqrt(11)))**2.\nAnswer: -2574*sqrt(11) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 528*w + 15660 = 0. Calculate w.\nAnswer: 45, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and -0.00638.\nAnswer: 0.1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -i - 29, 2*j = 3*j - 5. Let t = 0.2 + -0.5. What is the closest to -2\/5 in 2\/15, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1604 = 9*z - 32*z + 1351 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 543*k - 1127. List the prime factors of z(9).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30984\/48)\/((-2)\/(-1844)). Let q = j + -1028151. What is q rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = 3*w, -g + 0 = 2. Solve -w*v = -v - 5*f - 16, 5*v - 16 = 3*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 20, -0.5, -61.4, 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutucwb. What is prob of sequence tu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 1\/3, 3\/5, -0.05?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - -8. Let c = 48 - l. Let s(a) = 5*a - 3. Let r(j) = 18*j - 6*j - 8 + 2*j. Calculate c*s(y) - 3*r(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -5*w - 16, -w = -3*j - 2. Sort w, -2, 5 in decreasing order.\nAnswer: 5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**3 - 3*r**2 - 9. Let a(h) = -h**3 - h**2 - 1. Let u(f) = 18*a(f) - 2*x(f). What is the third derivative of u(v) wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 16*d + 46. List the prime factors of t(-22).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 3*d**7\/70 - 3*d**5\/20 + 10*d**2. Find the third derivative of t(k) wrt k.\nAnswer: 216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 155480 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 12*d - 42*d**2 - 18 - 12*d - 40*d**2.\nAnswer: -82*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/7 - 1. Let h = 0.429 + -0.059. Let k = -0.07 + h. Which is the smallest value? (a) k (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47700 by 212.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -39432.\nAnswer: 39427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6047\/1275, -0.5, 4, -2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/85 + 461029\/67371.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -84*m + 629. Determine i(8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/6 + 7*n**3\/3 - 6*n**2 + 16*n - 2. Factor v(c).\nAnswer: -2*(c - 6)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -1 - 3. Let t(p) = 9*p - 6*p**3 + 5*p**3 + 3 - 5*p**2 + k*p**2 - 5*p. What is the units digit of t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579258 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/12 - 71\/60. Which is the second smallest value? (a) 1\/7 (b) -1\/2 (c) 2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2464 and 3850?\nAnswer: 61600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1883\/11 + 171. Let d = 28 + -28.5. Which is the third biggest value? (a) d (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654 + 993 + 665 - 2312 - 19*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7642390 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 410516 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/96 - (-43 + 5225\/(-150) + 77)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 28589 - 28574 = 5*i - 9*i, -5*i + 2*q = 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 35 = -5*q. Solve 2 + 1 = -b - 2*o, -4*b - 3*o = q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 366?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -45, -19, 7, 33?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 2*g**2)*(8 - 3*g - 8)*(-2*g**2 + 0 + 0 + (-5*g**2 + 4*g**2 + 0*g**2)*(-14 + 12 - 18)).\nAnswer: -54*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 greater than 117351\/218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 56, 4, 1\/5 in increasing order.\nAnswer: 0, 1\/5, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 7 + 17 = -2*i, z = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.5, 0.0364, 136, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**23\/((w\/w**13*w)\/w*w**(-1\/12)*w) assuming w is positive.\nAnswer: w**(-1523\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1504 divided by 2\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*n - w, -6*n + 9*n + 3*w - 9 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/111414 and -103\/408518.\nAnswer: 1225554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 10. Let b be h\/(2\/3*3). Let n be (b - -1)*1*-1. Solve -v = v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, 4, 1123, 3 in ascending order.\nAnswer: -1, 1, 3, 4, 5, 1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*(-4 - -2). Suppose t*d = -0*d. Suppose d = -n + 34 - 3. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*10\/(-3))\/(-5 - -7). Solve -2*z + x = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-425))\/((-57)\/(-380))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 211904 divided by -4816\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r - 12. Suppose -b - r = -4*b. Suppose -b*g = g - 12. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g + 43 = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -327995\nAnswer: 1\/65599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-165770)\/(-10846) - 15) + 6\/87. Put 3, 0.3, z, 12, 0.1 in decreasing order.\nAnswer: 12, 3, z, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 880873747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895.33544 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 10 = -4*g - 0, 5*g = -15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3750*p**2*s + 498*p**2 + 6*p*s + 6776056*s wrt p?\nAnswer: -7500*s + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20, 32, 68, 140, 260, 440?\n\"Answer: 2*g**3 - 2*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -2, 2\/3.\nAnswer: -2, -0.1, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 2*h**2 + 2*h**2 + (h + 3*h - 5*h)*(18*h - 10*h + 18*h) + (3*h - 3*h - 2*h)*(3*h - h - 3*h) to the form b*h**2 + v*h + f and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11220)\/10659 + (-2)\/(-7) + 3 + 96\/(-42)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3239.\nAnswer: 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 986416?\nAnswer: 2, 61651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 - 820*b**3 + 4 + 4*b**2 + 815*b**3.\nAnswer: -5*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -136. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213522 and 5997346.\nAnswer: 3746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, z: 1, j: 2, x: 2, c: 4, n: 2}. What is prob of picking 1 j, 1 x, and 2 c?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138863 by 48.\nAnswer: -138863\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 100*l + 155. Let d be v(-28). Round d to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a28 (base 12) to base 16.\nAnswer: -5c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02883 + 1540.3500517?\nAnswer: 1540.3788817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**2 + 106617*p - 2133540 = 0.\nAnswer: -35559, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-17 + 9 + 57 + -13).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3141, 5770, 8399, 11028, 13657?\nAnswer: 16286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 2*j + 26. Let i be c(-6). Suppose -17*x = -21*x - 4, 3*x = i*v - 18857. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/((-585)\/20)*(-28)\/((-2352)\/5103).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 29*g**2. Let y(q) = 7*q**2. Let n(o) = -2*b(o) + 9*y(o). Let z(m) = -32*m**2 + 95*m**2 - 34*m**2 - 25*m**2. Calculate z(n(d)).\nAnswer: 100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 15 + 9\/5*m**5 + 0*m**3 + 0*m + 0*m**4 - 6*m**2. Find the second derivative of z(a) wrt a.\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2072 = -25*x + 178. Does 33 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 319*k**4 + 3*k**2 + 2971 wrt k.\nAnswer: 1276*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -596*f**2 + 14298*f + 182. Calculate y(24).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712056, -712068, -712092, -712128, -712176, -712236, -712308?\nAnswer: -712392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 + -81. Let j be 0\/(-4 + 0 + 3). Suppose j = -4*l - 541 + 617. What is the greatest common factor of l and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 184765.7280868.\nAnswer: 184765.2280868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + n = 2*h - 169, n = -h + 55. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = 926 - 250 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.915 - -1.33.\nAnswer: -2.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -631 - -2c9c?\nAnswer: 266b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**3*k)**(-2\/3)\/(k**4)**(-41) assuming k is positive.\nAnswer: k**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/3)*z)**19)**(4\/3))**(-3\/23) assuming z is positive.\nAnswer: z**(-304\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 0 + -1 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/25)\/a)\/a**(-4)*a**(3\/10)*a*a**(2\/37))**(2\/17) assuming a is positive.\nAnswer: a**(7907\/15725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/45 - 3\/(90\/4). Suppose 4*i - 2*j + c = 2, 0 = -3*j + 15. Put -5, i, 9 in decreasing order.\nAnswer: 9, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -44*n**2 - 6. Let t(u) = 21*u**2 + 3. Calculate -3*l(b) - 5*t(b).\nAnswer: 27*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7455981*w - 1717947 wrt w.\nAnswer: 7455981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r + 83 - 83 to the form q*r + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*d**5\/4 - 238731*d**4\/4 - 12267318*d**3 + 23968753*d**2 - 14384016*d + 2742336 = 0 for d.\nAnswer: -414, 8\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 66 + 35 + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37054 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 18. Let v be j(-16). Solve 0*x = -x - w - 1, 0 = v*x + w + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 9*k + 14. Suppose 5*g - 43 = 3*x - x, 4*g - x - 32 = 0. Let i be s(g). Solve 2*a + 6 = i, 0 = -2*f + 4*f - 2*a + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 1, u: 5, y: 1, r: 1, h: 3}. Give prob of sequence crc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibiiiiiiiiiib. What is prob of picking 3 i?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1eaa19 (base 15) to base 16.\nAnswer: -16f395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -251590 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394 = 4*q - 3*g, -4*q - 2*g - 3*g - 410 = 0. Let d = q + 119. Find the second derivative of 36*p - 3*p + d*p**3 - p**3 wrt p.\nAnswer: 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 4. Let y = 13 + -9. Let j(n) = 5*n - n**3 - y + 9*n**2 + 11*n + 6*n**2. Let u be j(16). Calculate g(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320522 divided by -19?\nAnswer: 320522\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128)*4 - (-5*sqrt(128)*3 - sqrt(128)))**2.\nAnswer: 51200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 23 - 21 = 0. What is the greatest common divisor of r and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3767880 (base 9) to base 7.\nAnswer: -23310000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38259 is divided by 1905.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 2*o**2 + 2*o**2)*(0*o - o + 0*o) + (-113*o + 113*o + 104*o**2)*(-7*o + 32*o + 9*o) as x*o + i*o**3 + u*o**2 + b and give i.\nAnswer: 3534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 24883?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*v - 133*v - 109*v - 104*v + 480*v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12736 + 12646 + (-1 - (1 - 4 - 2)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/(928\/240 + (-5 - -1)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 10*x**2 + 12*x + 13. Let u be m(-11). Solve 4*a = 3*f - 28, -3*a + 5*a + u*f = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:54 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0.3. Let l = -1 + y. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k - 92. Let b be w(12). Let f(h) be the second derivative of 0 + h - 1\/6*h**b + 1\/2*h**3 + 0*h**2. Find the second derivative of f(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u + 4*u + u + (-3*u + u - u)*(3 - 1 + 0) + u - 4*u + u + (5*u + 0*u - 3*u)*(-4 + 5 + 1) + 3*u + u - 6*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -1017.7.\nAnswer: -20354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.6 + 16. Let m = -4.79 + -0.21. What is the biggest value in 34, m, c?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6112*d - 1359*d = -8660*d - 1220583 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 7*f + 11*f)*(-17*f**3 - 64*f**3 + 27*f**3) as z*f**4 + n*f**2 + h + t*f + x*f**3 and give z.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 70. Let v = 83 - c. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102607*u - 102582*u + 205190*u - 140.\nAnswer: u - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.1. Let h = 4 - 4. Let d = -0.4 - h. Which is the second smallest value? (a) 0.2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 257 = 107. Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 10*m + 7. Let v(d) = -19*d**2 + 8. Let a(y) = -23*y**2 - y + 9. Let k(w) = 5*a(w) - 6*v(w). What is 7*k(t) + 3*s(t)?\nAnswer: -4*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (11 + -51 + 16)) + -18?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(243) - sqrt(243)*-4) + 1*(sqrt(243)*4 + sqrt(243)))**2 + -1)*5.\nAnswer: 121495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -156*n**3 - 13*n + 14. Let m be t(1). Which is smaller: m or -931\/6?\nAnswer: -931\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.2 - 5.8. Which is smaller: 1\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + q + 2. Let n be r(0). Suppose -n*y + 0*y + 4 = 0. Sort 3, y, 4 in decreasing order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 35*c = -q + 57, 0 = c - 3*q + 27. Suppose -5*n + 5*f + 1 = 2*f, 5*n + 2 = 4*f. Suppose -72 = 3*r - y - 4*y, n*r + 35 = -y. Is c <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 16*v + 4. Let b(h) = -5*h**2 - 15*h - 5. Let k(d) = -7*b(d) - 6*o(d). Is k(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90081067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*p - 12 - 29 = -405. Let x(t) = -4*t**2 - 4*t + 2. Let w(v) = 4*v**2 + v - 1 + 4*v - 2*v. What is p*w(z) + 3*x(z)?\nAnswer: 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6*k = k - 15, 3*u - 3*k = -15 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224915941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w - 2*w)*(2*w**3 - 2*w**2 + 2*w**2) + 0 + 2*w**4 + 0 + w**4 + w**3 - w**3 + (-14 + 14 + 23*w)*(-4*w**3 + 4*w**3 - 5*w**3).\nAnswer: -116*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -5340.\nAnswer: 3738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -577\/3 - -192. What is the nearest to 0.14 in -1, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -46 + 2*a**2 + 46. Let c(t) = 28*t**2. Give o(c(i)).\nAnswer: 1568*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -725*c**2. Let a(y) = 8*y**2. Give a(o(i)).\nAnswer: 4205000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j - 3*j**5 + 5*j + (2*j**5 - 3*j**4 + 3*j**4)*(4 - 6 + 3 + (-5 + 3 - 3)*(1 - 1 + 10)).\nAnswer: -101*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 242*j**2 - 81*j - 121. Calculate y(-81).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/1*-1*(-55)\/22. Solve a = -3*b + 8, -4*a + 0*b = -b + v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2583*o**3 + 257*o**2.\nAnswer: -15498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359610585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11970 is divided by 543?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + 0 - (-6 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-26)*k*k**0*(k**19)**(-3\/23) assuming k is positive.\nAnswer: k**(-632\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(80)\/sqrt(5)))\/(sqrt(36)\/(2*sqrt(4)) + sqrt(9) + (sqrt(252)\/sqrt(4))\/sqrt(7) + sqrt(9)))**2.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 82 - (4 + -9) - 94\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*i + 4 = 0, 5*i - 10 = 87*o - 84*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5409*c**3 - 2*c**2 + 3163*c + 4?\nAnswer: 32454*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/98 - -1\/98. Let i = 5285\/4 - 1321. Which is the second biggest value? (a) i (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10162 times 580?\nAnswer: -5893960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 779, 5, -4, 2, -2.\nAnswer: -4, -2, 2, 5, 21, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t - 42*t + 140*t + 341 - 57*t.\nAnswer: -2*t + 341","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24681842131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 219826 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 23.3, -0.3, -1, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/(-1320)*(-4)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 94818*y**2. Let g(s) = -3*s. Calculate g(l(z)).\nAnswer: -284454*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 19*q - 70. Let m be z(4). Suppose 2*a - m*a = -48. Solve 4 - a = 2*c, 0 = x - 2*c - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888a83 (base 11) in base 4?\nAnswer: 30022210312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 285707077 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 19 = 3*a, -4 = -4*w - 20. Suppose z + 33 = 4*t, t - 6*t - 3*z + 37 = 0. What is the least common multiple of t and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1245*p**6 - 1375*p**2?\nAnswer: -149400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465 (base 9) to base 2.\nAnswer: -101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-2 + -3)\/5. Let i(w) be the first derivative of o + 4\/5*w**5 + 0*w**4 - 4\/3*w**3 + 0*w + 0*w**2. Find the third derivative of i(a) wrt a.\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m + 21. Let p = -15 - m. Solve -12 = -n + p*x - 2*x, 5*n = -3*x + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 112272?\nAnswer: 5\/56136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3057853.6 and 7.0073.\nAnswer: 3057860.6073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26358, 105740, 238052, 423300, 661490, 952628, 1296720, 1693772?\n\"Answer: g**3 + 26459*g**2 - 2*g - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:26 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 1)*(1 - 1 + 1)*(3*n - 2*n + n)*(0 - 3 + 5) to the form u*n + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2088738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -205 (b) -136.7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213181969*d**5 - 238189939*d**2 wrt d.\nAnswer: 12790918140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2719 + -707. What are the prime factors of d?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 720.11 and -196.\nAnswer: 524.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -4758.6, 7\/19 in descending order.\nAnswer: 3\/4, 7\/19, -4758.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h + 91*h - 29*h to t*h + q and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b - l = -175, 0 = -2*b + 2*l + 358. What is the remainder when b is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 222, 236, 262, 306, 374, 472?\n\"Answer: t**3 + 7*t + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16127081 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + -0.0165\nAnswer: 0.0735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-l - 1 - l - 5*l).\nAnswer: -7*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 11}. Give prob of picking 1 b and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 763*c - 1908\/5.\nAnswer: (c - 1908)*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + 12*r - 25\/12*r**4. Let y(b) be the first derivative of -b**2 - 52. What is y(u(t))?\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 12:48 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 28*p**2 + 8*p - 66. Let o be l(12). Calculate the remainder when 134 is divided by (-376)\/(-13) - 42\/o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 222 - 217. Suppose -280 = -j*s - 2*g, -257 = -4*s - 0*g + 5*g. Calculate the remainder when s is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.5 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 1\/4*v**4 + 24*v - 11\/3*v**3 - 7*v**2 - 19. Give t(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t**2 + 14*t - 13. Let y be (-2 + 19)\/(-1 + (1 - -1)). Let m be n(y). Is 2 - m - (-2 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 540 = -2*v. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20154*f + 20158*f + 8 = -4*i, -f + 5*i = 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/210 + 53*h**6\/120 - h**5\/4 - h**4\/3 - 688*h**2. What is the third derivative of k(y) wrt y?\nAnswer: 24*y + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5143?\nAnswer: 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*z + 18 = 0, 4*n + n + 5*z - 70 = 0. Let p = 24 - n. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12690423 by -12690423.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggpggggggggp. What is prob of sequence ggpp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 45. Let x be r(12). Let a(l) = l**2 + l - 1. Let q(d) = -12*d**2 - 3*d + 3. Give x*a(v) + q(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -25. Let p(v) = -4*v**2 - 194*v + 5. Let g(d) = -7*d**2 - 324*d + 11. Let s(k) = 3*g(k) - 5*p(k). What is s(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-12)*6\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 36. Find the third derivative of 3*w**6 - g*w**4 - 6*w**2 + 31*w**4 - 14*w**4 wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1875.66 (b) -2 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - 0.25. What is the biggest value in l, -2\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48336 times 8?\nAnswer: -386688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 18 + -4 + (2 - 27 - (-27 + 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -109? (a) 1 (b) 3 (c) 9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 20 + 4*i + 10 in the form n*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20952527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**4\/12 + l**3\/6 + 13*l**2\/2 + 10*l. Let h be x(4). Let t(p) = -1. Let i(g) = 2*g**2 - 2. Give h*i(s) - 2*t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(0 + sqrt(7)*-1 - (sqrt(448) - (-1 + sqrt(448) + sqrt(448))))**2*-1 + -2.\nAnswer: -2071 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqppxppqx. Give prob of picking 2 x, 1 q, and 1 p.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52 and 0.07675.\nAnswer: -51.92325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 13 in increasing order.\nAnswer: 2, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*n + 351, 0*k - 935 = -5*n + k. Is n a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 4. Let v(a) = -a - 1. Let o(w) = -f(w) - 4*v(w). Let h(m) = -280*m. Give o(h(n)).\nAnswer: -560*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2312452*w - 3057282.\nAnswer: 2312452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 30*v + 96 = 0. Let q(y) be the third derivative of 0 + y**2 + 0*y**3 + 3\/8*y**v + 0*y + 1\/5*y**5. What is the second derivative of q(s) wrt s?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -4003?\nAnswer: -4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 976. Let f be b(0). Suppose 0 = 4*d + 5*z - z + f, 0 = 4*z. Let y = d + 403. Does 53 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c - 11\/3*c**3 + 0 - 1\/12*c**4 - 2*c**2. Let q be w(-9). Put -0.1, q, -6 in descending order.\nAnswer: -0.1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:13 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -21*a**2 - 53*a + 147. Calculate y(3).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15374, 12648, 9920, 7190, 4458, 1724?\n\"Answer: -b**2 - 2723*b + 18098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*v + v + 716 = 0, 0 = 2*v + 4. Let q = f - 108. Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*f = 15, -3*y - 4 = -3*f + 11. Suppose l = -6*l - 91. Let h = l - -21. Solve -4*k + 21 = d, y = -d - 3*k + h*k - 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 6*t + 16. Let k be l(-5). Let p = -37 - k. Solve -y = -f - p*f - 6, f - 3 = 2*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/138 and 62\/862305?\nAnswer: 39666030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - z, -5*v - 25 = -2*z. Let w = 6 - 16. Is w smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379118371 to the power of 1\/2, to the nearest integer?\nAnswer: 19471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 7*z + 2. Let i = 35 - 14. Suppose -f - 2*f - i = 0. What is the units digit of l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o + 1533*o**2 - 14*o - 5*o - 1530*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 5*q - 9*q. Suppose -5*o = 5*i - 164 + 19, -o + 5*i + q = 0. Calculate the remainder when 107 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384652 is divided by 211.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 324614.2 millennia in centuries?\nAnswer: 3246142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-826)\/(-28))\/((-6)\/4) and (532\/175)\/(22\/(-55)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**6\/30 + k**5\/4 - 11*k**4\/4 + 9*k**3\/2 + 1410*k. Determine w, given that r(w) = 0.\nAnswer: -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010101111111010111 + 1011010?\nAnswer: -1000010101111101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -84*y**3 + 30*y + 133. List the prime factors of b(-4).\nAnswer: 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 7. Let a = -5 + 5.2. Let x = 14 - 14. Put a, -3, f, x in decreasing order.\nAnswer: f, a, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-56))\/(6 - 6*(-66)\/(-48))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*c + 5465 = -735 + 2341 - 13697 for c.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 733 + -714?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0554*-33.0123.\nAnswer: -1.82888142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r - 30 + 30.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 115, 107, 97, 85, 71?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 18*z - 247. Let s be n(14). Let d = -286 + 291. Solve s = -p, -d*x = -x - 3*p - 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295 by -566.\nAnswer: -295\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 37*u**2 - 6*u + 30. Give h(-2).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 1620609*y**2 - 218865271209*y + 218863650603.\nAnswer: -3*(y - 270101)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1846226 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvcxxxoxxy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35007\/1302 - 27)*4*((-13)\/(-7) + -2).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put together -128.02133 and -0.034.\nAnswer: -128.05533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 301649 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97846, 195688, 293524, 391354?\n\"Answer: -3*b**2 + 97851*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -38146+2.673612237\nAnswer: -38143.326387763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6 - (-242)\/66. What is the third biggest value in p, 4, 0.6, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/348 and 143\/696?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 20 + 4. Let j = 4 + i. Suppose -3*s + 36 = 9. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(17)) + -4.\nAnswer: -13 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 3 (b) 2.3483 (c) -0.3 (d) -0.2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 3*v**3 - 2\/3*v**2 - 24 - 1\/3*v**4 = 0 for v.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6 = 7*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 = 4*n, 10*b - 10 = 5*b - 5*n. Suppose k - 29 = -4*h, -2*k - b*k - 7 = h. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5094141 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*m + m + 174 - 51 + 59 wrt m.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 3*p)*(1 - 1 + 1) + 4*p - 341*p - 98*p.\nAnswer: -432*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 498\/14651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -4*g + 43 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x = 61*x - 25195. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008091 rounded to 6 decimal places?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-35)*((-2)\/(-44))\/((-650)\/(-10725)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 4.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 0.5. Put 0.2, -0.03, p in decreasing order.\nAnswer: p, 0.2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*j*p**2 - 179*g*j - 2400*g*p**3 + 2*g - 103*j*p**3 + 42*p**3 + 3*p wrt j?\nAnswer: -g*p**2 - 179*g - 103*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3288 and 13470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 + 200. Suppose 9*z - 96 = s. Calculate the greatest common divisor of z and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*h - 13, 4*h + 21 = -5*f + h. Let g be (6 - 4) + 25 + f. What is the greatest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(216\/(-792))\/(2\/(-44)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -730791 from -0.05.\nAnswer: 730790.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-14)*17\/(1020\/140).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3772 = -26795*a + 13429*a + 13530*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4886 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2368 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 739 = 4*f + w, 233 = 2*f - 2*w - 139. Suppose -z + 6*z = f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -313653.1 to the nearest 1000.\nAnswer: -314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + 913 + (-3)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:50 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37673 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37191303 is divided by 1547?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*r - 28, 4*r - 92 = -0*b + 4*b. Solve 5*k + r = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 333 - 4ea?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 25587*z**2 - 22 + 25835*z**2.\nAnswer: 51422*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*k + 105 = 0, 3*x - 32 = 5*k + 63. Suppose 0 = -y - 0*y - 5*s + 217, 0 = s + 1. Calculate the remainder when y is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let m(l) = 538 - 1072 + 534 + 2357*l. Give r(m(d)).\nAnswer: -4714*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2155, 3565, 5917, 9211, 13447, 18625, 24745?\n\"Answer: 471*p**2 - 3*p + 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 2\/5, -11.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98735007 rounded to the nearest one hundred thousand?\nAnswer: -98700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2404384678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 129893 = 130663 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119 - 99) + (-1 - 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24069212 by 4.\nAnswer: -6017303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41407\/10 or -4141?\nAnswer: -4141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*x = -4*b + 1383*x - 692*x + 60, -3*b + 2*x + 68 = -8*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 3*k**2 - 6*k**2)*(-11*k**2 + 0*k**2 - 11*k**2).\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2831284 + 0.1168732. Let j = o - 1.4. Let k = j + 0. What is k rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -18. Determine n so that 2\/7*n**3 - 2\/7*n - 8\/7*n**a + 0 + 8\/7*n**2 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + -4 - (-3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 14*r**2 - r + 2. Let b be m(-14). Solve 0 = 4*d - 3*k - 0*k - b, 5*d + 5*k = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clu when three letters picked without replacement from phclyuc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 11. Suppose -5*a + x = -34, 4*a = -4*x + 13 + 19. Calculate the remainder when a is divided by b(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d - 1. Let c(x) = -x**2 - 4*x - 4. Let o(t) = 2*t**2 + 5*t + 5. Let y(v) = 4*c(v) + 3*o(v). Let s be y(d). Which is smaller: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f - 1733 + 1803 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 6 = 19*d. Suppose -4*b - 4 = d*o, 4*b + 6 = -6*o + 5*o. What is the second derivative of -155*y**o + 66*y**2 + 63*y**2 + 57*y**2 + 33*y wrt y?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1644)\/(-10) + 4\/(-10). Let w be m\/1 + -2 - 2. Suppose 2*l = -3*l + w. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 1 - 2)*(2 - 4 + 0) - 6 - 2 + 0)*(-5131 + 5131 + 2367*s) in the form h + r*s and give r.\nAnswer: -28404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*d + 210 - 187, 0 = -d - 5*t + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 8233\nAnswer: -24699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 35.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 6:44 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.078 - 0.422. What is the closest to -2\/9 in i, 0, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-78)\/(-16) + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 342234352 + -5?\nAnswer: 342234343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, -2, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(62 - 60). Let h(r) = r**2 - 5*r - 2. Let n be h(6). Solve d = 2*t + 4*s - 0*s, n*s = 4*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226.445 - 227. Let g = f + 0.355. Sort 8, -2\/7, g, 1\/5 in decreasing order.\nAnswer: 8, 1\/5, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 401313?\nAnswer: 3210504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4333 = 6*f - 9*f - 4*i, 3*f - 4*i = 4325. What is the highest common factor of f and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82 + 82. Is (n - 62065\/(-65)) + (-2)\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4883 = -231*w - 31679 for w.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 36*a**2. Let c be b(-1). Let p = c + -20. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2253\/5 + 450. Let h = 7 + -9.8. Let v = h + 2.3. Put 0.5, i, 5, v in increasing order.\nAnswer: i, v, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21896*p**3 + 5*p**2 + 4*p - 29.\nAnswer: 131376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 4) + (4 - 4) + -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let b = -2.1 + -1.3. Let h = x - b. What is h rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {i: 1, k: 1, x: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m + m)*(-2*m + 0*m + m) + 0*m**2 - 3*m**2 + 2*m**2 + 0*m**2 - m**2 - 2*m**2 - 2*m - 138 - 2*m**2 + 6*m + 140.\nAnswer: -7*m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97194638 to the power of 1\/2, to the nearest integer?\nAnswer: 9859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 24*t**3 - 7 - 8*t**2 + 14*t - 11*t**3 + 0*t - 12*t**3. Let g be j(6). Let r(z) = 6*z - z**2 - 5 + 2 + 1 + 0*z. Determine r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/10)\/((-6)\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3558 by -17.\nAnswer: -3558\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 946226052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11354 or 11232?\nAnswer: 11354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 210702079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = h + 19, -11*h + 7*h + 5*p = -9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 6*y**2 - 45*y - 48. Let w be t(5). Let i(p) be the second derivative of 1\/2*p**3 + 0*p**w + 0*p**4 + 26*p - 3\/20*p**5 + 0. Solve i(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1, 17, 59, 139, 269?\n\"Answer: 2*n**3 + n**2 - n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -113927, -113930, -113933, -113936?\n\"Answer: -3*g - 113924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6*(-18)\/96. What is the nearest to 2\/7 in 2\/7, d, 1\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 1548 + 894 = 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226\/(-339)*6\/(-34)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 + 2*m - 3. Let s be p(2). Let a(l) = 4*l - 12. Let v be a(5). Calculate the highest common factor of s and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 0*f**2 + 0*f**2 + (75*f**2 + 0*f**2 - 346*f**2)*(-6*f**2 + 5 - 5) as h*f**2 + g*f**4 + j*f + x + y*f**3 and give g.\nAnswer: 1628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**5 - 382*t**4 - 600*t**3 + 6799411*t**2 wrt t?\nAnswer: 60*t**2 - 9168*t - 3600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f + 64. Determine a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12527 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.1, -12, 0.3, -0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6\/17)*d*d**(-14\/9))**(-21))**(-13) assuming d is positive.\nAnswer: d**(-12649\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 5. Let t be f(6). Let w(d) = d + 3. Let m(p) = p + 5. Let q(j) = -4*m(j) + 7*w(j). Determine q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**4\/8 + 2*m**2. Let d be k(-2). What is the highest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*x = 24, 0*h + 20 = 2*h - 3*x. Suppose -36 = -y + 3*c, -3*y = -h*c - 133 + 20. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**4 + 14290453*n**3 - 4*n**2 + 1239484*n wrt n?\nAnswer: -36*n**2 + 85742718*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1707132*s**2 - 3414223*s**2 + 1707100*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69917 is divided by 34942.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -844 or -2644?\nAnswer: -2644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.047895l to millilitres.\nAnswer: 7047.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -87*k. Let b(w) = -15*w + 25. Calculate o(b(v)).\nAnswer: 1305*v - 2175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2684989 minus 0.033?\nAnswer: -2684989.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18819*v**6 + 264*v**4 + 39012086*v**2.\nAnswer: 2258280*v**3 + 6336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9453.\nAnswer: 3, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -2319?\nAnswer: 2318.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -252*y - 18899. What is n(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 695 + 1.\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80519582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c - 35. Let w be h(0). Let z = 56 + w. What is the highest common factor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 98 = -u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 7214648*a - 3253196610244.\nAnswer: -4*(a - 901831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*sqrt(270)\/(sqrt(36)\/sqrt(4)))\/(-4*(sqrt(10) + sqrt(40)\/sqrt(4))*-3))**2.\nAnswer: -3*sqrt(3)\/4 + 579\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vlvlnxnvvvv.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339415413.\nAnswer: 3, 349, 324179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -14*j - 5565. Let q(g) = g. Determine q(f(c)).\nAnswer: -14*c - 5565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 9*l**2 - 9*l - 4. Let o be k(-8). Suppose -2*y + 5*y - 2*z = -o, y + 3 = -z. What is the nearest to y in 0, -3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 - 5*c - 3. Let b = -37 - -43. Let z(g) = -b - 11*g**2 - 4*g - 9*g + 4*g - g. Let n(w) = -9*p(w) + 4*z(w). Give n(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 4:04 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + 109. Let v be 44\/(-2) + (3 - m\/1). Let u = 128 + v. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = s - 4, -3*p - 5*s + 8 - 5 = 0. Let v = -0.011 - 4.589. Let f = v + 0.6. Sort 5, 0.1, p, f in ascending order.\nAnswer: f, 0.1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/76*(-10469)\/58. Solve -12*p - 98 = -d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9)*(-36)\/(-3). Solve -24 = -j - 5*x, 2*j - 8 = v*j - 4*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 32026 - 50160 = -2*r, 3*r = 15. Does 107 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s**6)\/(s**0)**(-1\/12))\/((s*s*(s*s*s*s*s\/s**(-2\/13)*s)\/s*s*s)\/((((s*s*s**6)\/s)\/s)\/s)*(s\/(s**(2\/7)*s))**10) assuming s is positive.\nAnswer: s**(-664\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63569557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -78, -171, -300, -465?\n\"Answer: -18*h**2 - 3*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -3)*2\/(1*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*u - 5 + 22, -u - 7 = -2*o. Suppose 3*t - 5*t = -o. Solve -5*p = 3*q - 6, p + q = 1 + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 633880 and 78016.\nAnswer: 5071040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.107 - -1.07. What is the biggest value in -2\/9, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 - w. Suppose 3*m - 269 = i, -2*i + 3*i = -2. Let l(f) = 86*f**2 + 2*f - 3*f - m*f**2. Let r(s) = 2*g(s) - 3*l(s). Factor r(h).\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/41690 and 11\/3790.\nAnswer: 41690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15144 and 40?\nAnswer: 75720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 19*b + 1 - 32*b as g + r*b and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/(-200)*8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 97*o**2\/2 - o\/2.\nAnswer: o*(97*o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -62, -123, -174, -209, -222, -207, -158?\n\"Answer: y**3 - y**2 - 65*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 + -230. Let y = -121\/5 + 23. Let a = -7 + 4. What is the nearest to j in 0.5, y, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 18 = -3*j - v, -2*v - 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**4\/24 - 2*m**2. Let c be z(10). Let p be (5\/c)\/((-3)\/8). Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j + 1. Let i(p) = 7*p. Calculate -3*h(l) + 2*i(l).\nAnswer: -4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01974265 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25901199 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - 6*y**4 - 16*y**4)*(215 + 221 - 436 + 175*y).\nAnswer: -3675*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2*q**3\/3 - 2. Let c(j) be the third derivative of -47*j**5\/60 + 623*j**2. Determine x(c(d)).\nAnswer: -4418*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 2\/11, -2\/9 in descending order.\nAnswer: 20, 2\/11, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 259*q + 227. Let y be k(-15). Let t = 9851 + y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -8*u + 1938. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 507469822 - 507469822.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d - d)*(-5*d**4 - 4*d**2 + 3*d**4 + d**4).\nAnswer: -4*d**5 - 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-6)\/(-3))*1. Let i be (-3)\/6 - p\/2. Let v(k) = -k**2 - k. Let a(u) = 55*u**2 - 109*u**2 + 52*u**2 + 5 + u - 4. What is i*a(b) + v(b)?\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 21 (c) -33 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2254*l + 43497 + 50835 = -34381 + 43061 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 + 17\/3. Suppose 2*q + 2*n - 5 - 3 = 0, 5*q = f*n + 60. What is the second derivative of -11 - o**2 + q - 4*o + 3 wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 4*y - 18, y = k + 1. Let j be -1 - -1 - (-6 - y). Suppose 0 = f + 2*u - 8, 0*f - u = 3*f - j. What is the greatest common factor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(6\/7)\/(j**(-1))**(-12\/11) assuming j is positive.\nAnswer: j**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33668 by 2.\nAnswer: -16834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) 0.07 (d) -4 (e) 2433\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11115 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113032223 (base 5) to base 6.\nAnswer: 15033141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -151156 divided by -100\nAnswer: 37789\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27\/20 + -1047\/820. Let d = -3019 + 3019. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, 138, 2.6, 245?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 14*j = 0. Suppose -2*f - 4*w + 44 = j, 2 = -w - 1. Does 28 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from fccafffc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 27.31.\nAnswer: 22.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038273 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20831 is divided by 904?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 2 + 0 + 0 + u**2. Let t be b(5). Let c(s) = 7*s**2 + 18*s - 21. Let i be c(1). Put t, -4, i in increasing order.\nAnswer: -4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/98133817 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 greater than 946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 979*t**2 - 981*t**2 + 0 + 1 + 10*t + 11.\nAnswer: -2*(t - 6)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334713 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 27*v**2 - 28*v - 2. Suppose -78*h = -39*h - 1092. Determine f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3696 and 6153.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 812 divided by 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 3*2\/6. Let s = -6 + 6. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445772914.\nAnswer: 2, 41, 331, 53267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0781 - -0.0981. Put r, -1, 3\/7, 0.5 in ascending order.\nAnswer: -1, r, 3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -o - 0*f + 11, o - 2 = f. Suppose 3*t - 18 = 3*k, -2*k = -t + 3*k + 6. Solve -t - 4 = -o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -73486*v**2 - 440914*v + 12. Give y(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474753.3mg in grams?\nAnswer: 474.7533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 58 (b) -18 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o - 4*a + 164 = 0, 5*o + 5*a = 160. Let b be (-16)\/90 - 8\/o. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from nnnnnznnznnnzz.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 472887 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 - 83*r + 16. Let g be l(12). Calculate the highest common divisor of 119 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109828236\/13 or -8448326?\nAnswer: -109828236\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260203326 is divided by 308.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*o - 3, 1955*o + 2*s + 42 = 1989*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -m - 110, -2*o + 27 = 4*m + 247. Let p = o + 762\/7. What is the common denominator of -95\/6 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 85*a**3 - 2*a**2 + 3*a - 2. Does 12 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*z = -0*f, -32*z = -4*f - 35*z - 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1482*n - 16272. Let k be f(11). Solve 21*u + k - 114 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 13*v**2 + 12*v - 13. Let c(k) = -27*k + 1. Let y be c(-1). Suppose 3*p = p - y. Calculate the remainder when 58 is divided by s(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 582*t - 18. Let c(u) = -594*u + 22. Calculate -4*c(y) - 5*w(y).\nAnswer: -534*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18193 (base 10) to base 2\nAnswer: 100011100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*w = -1, -1887518*t - w + 90 = -1887427*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -198*m + 31*m + 3340 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20169 and 10043.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 5 - 1 = 0, 3*c - 14*v + 4 = -45 - 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 6:24 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 28, 0.03, -521, 44 in ascending order.\nAnswer: -521, -12, 0.03, 28, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 1310*c**2\/3 + 429025*c\/3.\nAnswer: c*(c + 655)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*n - 186023 = 229031. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -269*g**3 + 278*g**2 + 2*g + 2. Let p(m) = m**3 - 3*m**2 - m - 1. Let i(r) = -2*p(r) - s(r). Find the third derivative of i(j) wrt j.\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, 0.3 in descending order.\nAnswer: 3, 0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02133 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4808954, -4808933, -4808886, -4808801, -4808666?\nAnswer: -4808469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*x - 244 = 0, -3*x - 153 = 15*d - 18*d. Solve 0 = -39*q - 17 + d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27101 - 27112 - (1 + (-122)\/9).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67621292?\nAnswer: 2, 31, 443, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) 0 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 350400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*-3*(-4)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 174 = 17*u. Sort 4, 2, u in descending order.\nAnswer: 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53004 by 17668.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5442 + 1d0?\nAnswer: -5272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c25b - -5?\nAnswer: 3c261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 3:46 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = l + 2 + 18, -2*l = -5*c - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*m = -2 + 22, 3*q - 11 = -5*m. Calculate the highest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1000 = -0*s. Let l = 237 - s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1298 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291 + o - 291.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-18576)\/(-224))*(-12)\/8*1?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7743, -9846, -11949?\n\"Answer: -2103*y - 5640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7.6. Let z = 0.3 + u. Let b = 0 - 2. Put z, b, -5 in ascending order.\nAnswer: -5, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. Let v be (-228374)\/(-40) - (-2 + z). Let w = v - 5714. What is the common denominator of w and -111\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24286459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:22 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2761, -3016, -3271, -3526, -3781?\n\"Answer: -255*g - 2506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 29486 = -59*d. What is the remainder when d is divided by 311?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 * -0.95\nAnswer: 4.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177 and 24.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*s - 26 = -1, -w + 3*s - 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiaa. Give prob of picking 1 i and 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8\/7)\/h)\/(h*h\/h**8*h)*h**(2\/9)\/h*h*h*h\/h**(2\/11)*h*h*h*h*h assuming h is positive.\nAnswer: h**(6859\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1296\/288 + (-10)\/4 + 0. Solve 0 = z + r*s - 5*s + 22, 24 = 4*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 5*n - 5*k + 21, 7216*n + 36 = 7212*n + 4*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 2. Let i be d(-2). Let p(y) = -2*y**2 + 5*y - 3. Let z be p(i). What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3 (c) -1\/12 (d) -10 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 0 (c) 5\/1349 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 4. Let t be y(5). Suppose -43 = 3*r + t. What is the units digit of (276\/r)\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/99393 <= -1.55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 15*v. Let x be y(1). Let t be 6\/x - 3\/(-5). Suppose -11*l - 42 = -53. Calculate the highest common factor of l and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 + 593093*s**4 + s**3 + 6441508*s**2 wrt s?\nAnswer: 120*s**2 + 14234232*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 13*l + 19. Let y(w) = 3*w**2 + 19*w - 28. Let c(i) = 7*j(i) + 5*y(i). Is c(-13) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 7*m**2\/3 + 7*m\/3 + 5.\nAnswer: (m - 5)*(m - 3)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 25*o - 372. What is the remainder when 85 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.876312 decades?\nAnswer: 105.15744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/384 - 366\/(-72). Let u(t) = t**3 - 3*t**2 - 8*t + 6. Calculate u(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2456\/3213 - -6\/119. Find the common denominator of p and (-1778)\/(-294) + -3*1.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2979.\nAnswer: 1\/2979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 22*b**2 + 85*b\/2 + 21.\nAnswer: (b + 1)**2*(b + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*g + 16 = 0, 0 = 4*g - 3 - 13. Solve 0 = k*v - 2*v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 631074, 631071, 631066, 631059, 631050, 631039, 631026?\n\"Answer: -w**2 + 631075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40092565 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 b(s) = -2031*s + 41. Let c be b(-3). Let m = -135011\/22 + c. What is the common denominator of m and -5\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644121, -1288237, -1932351, -2576463, -3220573?\nAnswer: -3864681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(0 - -4) + -5. Suppose -5*a - 3*h + 14 + 44 = 0, -4*h = -j*a + 18. Calculate the greatest common factor of a and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 e when three letters picked without replacement from ighhefgfgghhghhhhh.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.73 take away -5.2?\nAnswer: -5.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.03 - 1082.\nAnswer: -1129.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 12*x**2 - 9*x - 31. Determine m(-11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35495123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -262*j - 510*j - 795*j - j**3 to s*j**3 + c*j**2 + t*j + a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -310 + 1127. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 1. Is 4\/r*190 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240408\/8019 + 20 - 50.\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 103 - 78 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3 - 4) + 2)\/((-3)\/(-3)). Let r = -34.7 - -35. Sort -1\/7, l, r, 0.5 in descending order.\nAnswer: l, 0.5, r, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134143 (base 5) in base 9?\nAnswer: 7544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 8907*u**2 - 6039405*u - 866490075.\nAnswer: -3*(u - 1545)**2*(u + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2\/l*l*l)**18*(l\/l**(-5))\/(l**(-4\/11)*l))**(-9\/7) assuming l is positive.\nAnswer: l**(-7659\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4374*t**3 - 30*t - 28*t + 122*t - 33*t - 31*t + (-t - t + 0*t)*(-3*t**2 - 4*t**2 + 5*t**2).\nAnswer: 4378*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4) - 55\/22\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/20 and 79\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41356802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/2369 + -177419\/75808. What is the common denominator of (-1)\/(-4) - (-287)\/616 and f?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 7*w**2 + 7*w + 8. Let s be k(-6). Find the second derivative of 0*y**5 + y + 2*y**4 - s*y**4 - 3*y**5 wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 22*m - 5. Let q(w) = -1. Give i(y) - 5*q(y).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/14 and 99\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*3397498\nAnswer: 1562849.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 + 3 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = -9. Let k(c) = -5*c - 8. Let n be k(-6). Suppose n - 7 = 5*j. Put 5, j, a in increasing order.\nAnswer: a, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16*x - 87. Let d(t) = t + 1. Let r(f) = -4*d(f) - w(f). Let v be r(4). Solve 2*m = -u, 0 = v*m - 2*u + 3*u + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5660*h = 5687*h - 243. Solve -a + h*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 389 = 189. Let f = p - 37. Let z be (1 + -1)\/((-6)\/(-3)). Solve x - f*x = z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 m when four letters picked without replacement from zmzmmzzzzmmmzzmmzmmm.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17630 + 17630 + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7311 - -5587?\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6003.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 6) in base 8?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27528.\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from ywvvoyvuvuvwywvuuob.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 - 230. Calculate the highest common divisor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1096560114?\nAnswer: 2, 3, 13, 43, 326941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*a - 18*a + 2 + 181*a + 5*a.\nAnswer: 285*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 7)*(-62*z - 3 - 30 - 1 + 64*z).\nAnswer: -4*z + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.3, -3\/2, -2\/5, -6, 35\/248, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 1 + 7, -3*t - 2*b + 24 = 2*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 308\/445?\nAnswer: 308\/445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/4 + (-1)\/(-4)*2. Solve -3*u = 3*w - l, 0*w + 4*w = -3*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -27*n + 72. Calculate the highest common factor of 214 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.6592 + -0.2508. Let s = n - -14. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11477410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 138479, 138484, 138489, 138494, 138499?\n\"Answer: 5*q + 138474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 2. Let g(m) = 62*m**2 - 6*m - 4. Let h(f) = -g(f) + 2*z(f). Let p(n) = -58*n**2 - 2*n. Calculate p(h(j)).\nAnswer: -222952*j**4 + 124*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -758*h**4 - 191*h**2 - h.\nAnswer: -18192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -93, -192, -295, -402, -513, -628?\n\"Answer: -2*f**2 - 93*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.389494 litres?\nAnswer: 5389.494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/736250 and -137\/6000.\nAnswer: 17670000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(220)\/(-1*sqrt(160) - sqrt(160)))\/((sqrt(539) - 2*sqrt(539)*5 - sqrt(539))*2).\nAnswer: 3*sqrt(2)\/1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1105, -1242, -1465, -1768, -2145, -2590, -3097, -3660?\nAnswer: -4273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1695033641 to the nearest integer?\nAnswer: 41171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1. Let m(i) = -2*i**2 + 2*i + 4. Calculate m(y) - 3*w(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -19 (b) 759 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 97116 + 97130 = 0, -5*g = 7*y + 49 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-195)\/(-50) + -4 - (-21)\/980*-7. Which is the second smallest value? (a) 2 (b) 0.1 (c) 1 (d) q (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/32 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14218696.8us to weeks.\nAnswer: 0.00002350975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 14 = -12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 7*c + 4*f = 24, 8 = c + 2*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -685*d**3 + 685*d**3 - 21*d**2 - 5*d**5 wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209, -194, -177, -158, -137?\n\"Answer: w**2 + 12*w - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-25)\/d)\/d)\/d**5*(d\/(d**(-2\/19)\/d))**(-2\/19) assuming d is positive.\nAnswer: d**(-11632\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u - 6, 5*y + 422 = -u. Let h = -82 - y. Let c be (-11)\/(-3) - 2\/(-6). Solve -h*b = 2*b + c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -0.08. Suppose -6 = 2*a - 0. What is the second biggest value in -2, a, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/3*(0 + -3). Let v = 0.322 + -6.822. Let d = 6.2 + v. Which is the second biggest value? (a) j (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 781 (b) -3 (c) 0 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5\/3, 33.2, -3\/4 in decreasing order.\nAnswer: 33.2, -0.3, -3\/4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16912 times 5.9\nAnswer: -99780.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581475947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 279*a\/2 - 277.\nAnswer: -(a - 277)*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*(-2*sqrt(156) - sqrt(156)) + sqrt(156))\/sqrt(12) - -4*(sqrt(52) + sqrt(5200) + 2*sqrt(5200))\/sqrt(4))**2 + 4.\nAnswer: 269572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r - 61385 + 59181 = 0 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 1 = d, -d - 17*o = -22*o - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 5*u - 2. Let x = -1 + 4. Let o be i(x). Is 7\/2 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24582*a - 12256*a - 12311*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115581, 230077, 344573, 459069, 573565?\nAnswer: 688061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2240 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12384 and 567558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -2253.68.\nAnswer: -2253.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhnhnhhhhnhhhh. Give prob of picking 2 h.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 185\/35 + (-4)\/14. Let c be ((-7)\/(-3))\/((-1)\/(-3)). What is the third derivative of c*u**2 - 3*u**a - u**5 - 10*u**2 + u**5 wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -30. Factor -o*g - 8 - 21*g**2 - 20*g + 8*g**3 - g**4 + 58*g.\nAnswer: -(g - 4)*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118\/11 + 247\/22. Let f = -9 - -13. What is the closest to m in f, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 1013, 2317, 4151, 6521, 9433, 12893, 16907?\nAnswer: 21481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 4. Let t be (4\/(-3))\/((-262)\/393). Let p be z(t). Solve 5*i + p*h = 14, i + 7*h - 6 = 3*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2\/5, -18?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) + -1 - sqrt(180))*-5 - sqrt(180)) + sqrt(180)*1 + 3)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*r**2 + 25*r**3 - 4*r**3 - 54*r**3 wrt r.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 30329?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y - 12*y**2 + 11\/12*y**4 + 17\/20*y**5 - 1\/6*y**3 + 0. What is the second derivative of a(n) wrt n?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 10*u - 11. Let r be t(-11). Let h = r + -3. Let n be h\/(-6) - 14\/(-4). Solve 2*m = n - 2, -2*c = 5*m - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 507685.\nAnswer: 50768.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -3.67596.\nAnswer: -47.78748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/((-14)\/51000))\/(15\/200). What is t rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 501. Let v(r) = -r**2 + 4*r + 1488. Calculate -7*u(b) + 2*v(b).\nAnswer: -2*b**2 + b - 531","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 12:32 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/61 and 30\/13.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1242 + 26*z - 1242.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 7) in base 8?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13422, 26850, 40282, 53718?\n\"Answer: 2*y**2 + 13422*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(sqrt(19) - (sqrt(19) + -1)) + -1 + sqrt(19) + -1).\nAnswer: -6*sqrt(19) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -917010 rounded to the nearest 1000?\nAnswer: -917000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 17*y**4\/12 - 149*y**3\/6 - 2*y**2 + 80*y. What is the derivative of q(x) wrt x?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:29 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 3*l + 4. Let z be q(-3). Let g = 233 + -233.131. Let r = -0.869 + g. Which is the closest to r? (a) 2 (b) z (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.051 and 1329816.3?\nAnswer: 1329816.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. Let g(p) = 6*p + 1. Let k be g(n). Does 19 divide (-1 - -2)\/(1\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*z + 141, -7*z = -5*l - 4*z + 235. Calculate the remainder when l is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-16)*-18*(-1012)\/138 - -8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10459, -10522, -10585, -10648, -10711?\n\"Answer: -63*g - 10396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1017*l + 2*m + 4 = 1012*l, 0 = 5*l + m - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50096 - -4208117\/84. Let u = k - -1\/28. Which is the nearest to 0.2? (a) -15 (b) 1\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -78, -0.1, -0.79?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:14 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let f = z - 0.5. Let j = 148 + -147. Which is the smallest value? (a) j (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 82\/9?\nAnswer: 82\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*k**2 - 25\/2 - 30*k - 1\/2*k**4 - 6*k**3.\nAnswer: -(k + 1)**2*(k + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**8\/1344 + k**6\/480 - 55*k**2\/2 - k + 25. Let m(p) be the first derivative of s(p). Factor m(a).\nAnswer: -a**3*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8\/7 + 22\/21. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -298 - -298. Sort j, 3, -5, -1.\nAnswer: -5, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1))\/(x**31*x)*(x**(11\/2))**(-2\/5) assuming x is positive.\nAnswer: x**(-171\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5894 and 2002?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p - 2. Let c(s) = -7*s - 1. Suppose 0 = 2*o - 17 + 5. Let h(n) = o*c(n) - 5*l(n). What is the units digit of h(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, u: 7, c: 6}. Give prob of sequence cu.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*q**3\/5 - 1202*q**2\/5 - 56*q\/5.\nAnswer: q*(q - 28)*(43*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19214*m**6 + 856*m**4*w + m**3*w - 33*m**2*w + 308*m**2 - m*w + 24*m - 23*w wrt m.\nAnswer: 2305680*m**3 + 20544*m*w + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/2 (c) 0.1 (d) 2\/45 (e) -17 (f) 3.5 (g) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.08 - 5. Let x = 0.02 + p. Let r be (-16)\/18*9\/(-12). Which is the closest to x? (a) 1\/2 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - 27. Let y = p - -95. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -156*v - 37. What is the units digit of m(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325212247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1745796 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i + 15. Let j be s(2). Let d(o) = -o**3 - 9*o**2 - 11*o - 9. What is d(j)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -568483*u. Let t(a) = 11*a**2. What is t(f(c))?\nAnswer: 3554902134179*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944227947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - a + 1. Let b(d) = -2*d**3 + 3*d**2 + 4*d - 5. Calculate -b(l) - 2*r(l).\nAnswer: 2*l**3 - l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*q - 28 = 0, 4*q = -3*d + 35 - 1. Let b = d + -4. Suppose 0 = -b*p + j + 1, 2*p = 4*j - 19 + 5. Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1742006 and 1742006.\nAnswer: 1742006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 15*c)*(2*c**2 + 2*c**2 - 5*c**2) + (-6*c + 2*c + 3*c)*(-5*c**2 + 4*c**2 + 2*c**2).\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -289310.935 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 694\/15 + -46. Suppose 7*x = 1 + 6. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.2 - -6.13. Let p = -101\/3 + 34. What is the third smallest value in z, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46145889 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -826, -389, 356, 1421, 2818, 4559, 6656, 9121?\n\"Answer: 2*h**3 + 142*h**2 - 3*h - 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 15, 18, 21?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -8, -2\/13, -0.09?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 13) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(786\/(-655))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3196 and 15\/658?\nAnswer: 22372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (4 - 11) + 498 + -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let b(x) be the second derivative of x**4\/4 + 10*x. Give q(b(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 4:41 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2483.95, -1936\/3, 4.\nAnswer: -1936\/3, 4, 2483.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5967291 months to millennia.\nAnswer: 0.000049727425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-2\/23))\/a**(3\/14) assuming a is positive.\nAnswer: a**(603\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*c - 37 = -2*c, 0 = 2*h - 5*c - 11. Suppose -h*k = -67 - 53. What are the prime factors of 5\/(k\/228) - 0?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -5 + 7 + (-27 - -13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -30*p**2 - 11*p - 3. Let g(k) = -10*k**2 - 4*k - 1. Let x(o) = -8*g(o) + 3*j(o). Suppose 5*i - 5 = 0, -5*m + 1 = 3*i + 3. Give x(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -47*l**3\/6 + 9*l**2\/2 - 4*l + 4. Let n(c) = 23*c - 4. Calculate -4*f(a) - 9*n(a).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*s + 15*x - 18*x, -1 = s + 2*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = 5*k + 398. Are k and 7\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 40*u**3\/3 + u + 29. Let p(c) = c. Give m(p(s)).\nAnswer: 40*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-16)*(48 - 44)*-26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f + 14*f - 2 + 2 in the form w*f + m and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 3*j - 70, -5*j + z = -120. Let g = j + -25. Solve 2*m - l + 11 = g, -2*m - m - 3*l = 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89466401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/10)\/(-4))\/((-26)\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2256 and 705?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 3\/790387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3+314468200402149\nAnswer: 314468200402146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x*x)**16*(x\/x**(-1\/8))\/(x**(-1\/6)*x*x) assuming x is positive.\nAnswer: x**(2671\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let l(o) = 78*o - 5. Let i be (219*(-6)\/(-45))\/(2\/(-10)). Let q(a) = 2263*a - 146. Let k(x) = i*l(x) + 5*q(x). Give k(z(w)).\nAnswer: 146*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2 + 40*r - 28. Let c be (0 - 4)*(-9)\/(-2). Let p be t(c). Sort 1, p, 0.\nAnswer: 0, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h + 2. Let p = -43 + 50. Let g(b) = -13*b - 5. Give p*k(m) + 3*g(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 49933481.\nAnswer: -2496674.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61270700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -163*h + 161*h - 2602 + 2602. Let j(t) = t + 2. Let f(l) = -2*l - 3. Let w(b) = 2*f(b) + 3*j(b). What is w(k(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h - 40. Let v be h\/(6 + -2) - 4. Let d = -1261\/2085 - -2\/417. Sort 1, v, d.\nAnswer: v, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 751.000733 - 751. What is o rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*x - 4, 3*j + 3*x = 13 + 11. Let o be ((-75)\/50)\/((-2)\/72). What is the units digit of 1 + o + 48\/j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6343303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 368*x**2 - 192*x**2 - 185*x**2. Let p(t) be the first derivative of -6*t**2 + 134. What is v(p(r))?\nAnswer: -1296*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/10 (b) 4 (c) -223 (d) -2\/11 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -l + 8, 0 = 2*l + 4*t - 3 - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1641 - -2737. Suppose 4*s - 2428 = -4*d, -5*d + 731 + j = 3*s. Calculate the remainder when s is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dnn when three letters picked without replacement from {n: 4, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.47 (b) 0.03 (c) -3\/26 (d) 38 (e) 0.3 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 + -4.4. Let x = 0.2 + -0.2. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.41 and -0.19592367973.\nAnswer: -0.60592367973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632, 648, 664, 680, 696?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*m**2*o**2 + 425655*m**2*p**2 - m*o**2*p**2 + 2*m*o*p**2 - 2*m*p + 3*m + 3*o*p**2 + 137*o*p - 1248 wrt m?\nAnswer: -680*o**2 + 851310*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 - 115*o**2 - 84*o - 16. What is x(-28)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 1306\/3, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -8, -55\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000027438 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110183907.\nAnswer: 3, 19, 79, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n - 24 = 72*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*b + 5*h + 45 = 7*b + 97*b, -12*b - 2*h = -94 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -13*q - 2. Suppose 34*x + 487 = 88*x + 55. Let a(j) = 38*j + 6. What is x*u(g) + 3*a(g)?\nAnswer: 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 481998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 - 5*f - 18*f**3 - 5 + 6*f to the form c + k*f**2 + z*f**3 + w*f and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870760.\nAnswer: 2, 5, 46769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:08 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -25 (b) -1\/3 (c) -2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32023, -32020, -32017, -32014?\n\"Answer: 3*s - 32026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*f**4*j - 2*a*f**4 + 5*a*f**2*j + 2*a*f*j - 77*f**5 - 19*f**2*j wrt f.\nAnswer: -72*a*f*j - 48*a*f - 4620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 14. Let k = h - 24.9872. Round k to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/3*77\/99?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3494 - 6*k + 3486 - 6986)*(-3*k**3 + 0*k**3 + 4*k**3).\nAnswer: -6*k**4 - 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -264.8 + 262.647. Let f = 0.047 - n. Let m = 4\/3 + -11\/6. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2970\/198*106\/(-36) + 43?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15693 - -3499547\/223. Find the common denominator of 3\/7 and o.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + 1*sqrt(11)) - ((1*sqrt(55)*-1)\/sqrt(5))**2.\nAnswer: -15 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 855048, 1710131, 2565214, 3420297, 4275380?\nAnswer: 5130463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - 1)\/(3\/(-96)). Let s = -28415\/74 + z. Let m = 79\/370 - s. What is the second smallest value in m, -5, 1.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 2, k: 1, l: 2, w: 1}. What is prob of sequence hk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -295*s**2 + 157*s + 296*s**2 - 157*s + 107. Let n(o) = 3*o**2 + 11*o. Let y(p) = -p**2 - 4*p. Let g(z) = -4*n(z) - 11*y(z). What is g(q(l))?\nAnswer: -l**4 - 214*l**2 - 11449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15.83 * 5.477\nAnswer: -86.70091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-2 + 656\/214). Let h = p + -9811\/2140. Let a = h + 22\/5. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3864 = 162*b - 1158 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 9, w: 4, b: 6}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 21.2. Let c = -1.8 + w. What is the smallest value in -4, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i. Suppose i*t - 64 = -2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrstessssr. What is prob of picking 3 r and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 27)\/(-1) - -1. Suppose -2*o = -4*g - 2, -5*o + 3*g = 2*g - c. Solve 2*a - o*z + 20 = -3*z, -4*z + 20 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171148865 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39\/2 - -20. Suppose -4*q - 11 = -3. What is the biggest value in m, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*k = 2382. Suppose -3*h + 1046 = -k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/32 and 2\/9 + -5257*3\/(-16632).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 33.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -3) + (0 - -10) + 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 6 - 279\/90*-10\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m**(-11))\/((m*m*m**(-2\/11)*m)\/m**(4\/3)) assuming m is positive.\nAnswer: m**(-511\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 10*c - 77. What is the remainder when 20 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/312486294 and -9\/22?\nAnswer: 3437349234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34937 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -114.34 - -12.04. Let k = j + 149.2. Let g = k + -47. Is 5\/8 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(304) - sqrt(304)) + sqrt(304))**2 + 3 + (sqrt(19) + sqrt(19) + sqrt(19)*-1 - sqrt(19)) + -4.\nAnswer: 10943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, 594, 892, 1190?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -4 (c) 1\/38 (d) 0.5 (e) -3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13012131321 + -1123?\nAnswer: 13012130132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, t: 1, n: 6, i: 5, q: 2}. Give prob of picking 1 t and 2 i.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -348, -698, -1188?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p + p - 108 - 92 = 0. Put p, 7, -21 in ascending order.\nAnswer: -21, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100 (base 2) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -10.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*s + 6*s - 53, -34 = -4*r + s. Are 11 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192412?\nAnswer: 2, 11, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*w = 26 - 16, 2 = -3*v + 5*w. Calculate the greatest common factor of 96 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 + 92*i**4 - 35*i**3 - 3310*i**2 - 8336*i - 5152 = 0. What is i?\nAnswer: -92, -4, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 15, 71, 183, 369?\n\"Answer: 3*t**3 + t**2 - 6*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000101100010010 + -100?\nAnswer: -10000000101100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 22*i**3\/3 - 27*i**2 - 44. What is the second derivative of y(q) wrt q?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -76 (b) 4 (c) 7 (d) -0.1 (e) -1\/2 (f) -283\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.23219 rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15497771 is divided by 5165906.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*k + 453 = 138, -3*t = 2*k - 460. Is 50 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*x = 3*d + 19, d = -x - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2 - 4. Suppose 5*b = 20, y*p - 3*p - b = -5. Is p equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 10}. Give prob of sequence ppss.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132131849.\nAnswer: 23, 5744863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -62, -79, -96, -113?\n\"Answer: -17*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {v: 4, p: 2, x: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 86305.102 to the nearest ten.\nAnswer: 86310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16402747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03985 - 239140205?\nAnswer: -239140205.03985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34207170 is divided by 82626.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 plus 0.5?\nAnswer: -66.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285986 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-15))\/(a*a**16*a))\/(a\/(a**24*a)*a)**28)**6 assuming a is positive.\nAnswer: a**3672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (-4432)\/(-6))\/((-214)\/2568)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*v + 843*v + 144540 = -46*v for v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**2 - 3*y - 2. Let q(z) = z**2 + z + 1. What is -4*q(h) - v(h)?\nAnswer: -13*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**9\/18 - 2*m**5\/5 + 22*m**2. What is the third derivative of h(u) wrt u?\nAnswer: 3360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, 4, -7, -168, 15 in ascending order.\nAnswer: -168, -7, -5, -4, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0047 and -6.899?\nAnswer: 6.8943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5898456 + -206467561\/35. Let v = -617 - q. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 + 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108283 and 434.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkakkkmmtymatmakkkk. Give prob of picking 1 t, 2 a, and 1 k.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g*g**(-2)))\/g*g\/g**0)\/(g**(-1))**(-15) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -110 - y - 7*y + 97. What is the tens digit of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**4 - 524015*y**3 - 1397645*y**2 + 5764655*y - 1746850 = 0. What is y?\nAnswer: -5, 1\/3, 2, 34937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(19516\/61285)*(-8)\/(-20).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(-6)*(-8)\/24\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84510346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 12*b**2 + 8*b + 42. What is the units digit of h(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2919 = -148*w - 332*w + 63*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519*y - 151183 = 446*y. Is 35 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/10)\/(567\/(-35) + 16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 2*i + 2. Let x(s) = 52*s**2 - 4*s - 3. What is the remainder when x(-1) is divided by u(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*i + 370 = -84 - 126, -719 = -9*v + 3*v + i for v.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*h + 1 - 14, 0 = 2*h - 4*v + 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.2, -1\/5, -54.\nAnswer: -54, -5, -1\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -386072*h**5 - 1888504*h wrt h?\nAnswer: -7721440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 405*h**4 + 1520?\nAnswer: 1620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-63) - 2\/3. Let o = -15.5 + 3.7. Let d = 12 + o. Which is the nearest to d? (a) -0.5 (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 4, 1\/2, 3, -896.82?\nAnswer: -896.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 20 + 112)*(2*n**2 + n**2 + 0*n**2) to the form b + p*n**2 + c*n and give p.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1443 + 1523. What is the smallest common multiple of 24 and j?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -17, -3, 26, -2 in descending order.\nAnswer: 26, -2, -3, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -354620 divided by -177310\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 53. Let d(w) = -8*w**2 + w**2 + 9*w**2 - 4*w**2. Calculate u(d(v)).\nAnswer: 4*v**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2425 + -2418. Suppose 0 = 10*s - 79 - 71. What is the smallest common multiple of s and o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*u - 0*u + 30, 4*l - u - 24 = 0. Suppose 16 = w - l. What is the lowest common multiple of w and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**4 - t**3 + 1714383*t**2 + 9610644 wrt t?\nAnswer: -8*t**3 - 3*t**2 + 3428766*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**3 + 7*x. Let q(n) = -3*n**3 - 4*n. Determine 4*g(y) + 7*q(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q = 42*q + 258. Suppose 19*m = 16*m + 642. What is the remainder when m is divided by q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 9*x**2 + 37*x - 1. Let p be r(-4). Let k = 198 + p. List the prime factors of k.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6441697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 24*k - 10. Let g be b(9). Let a be (1 + 0)*(g\/(-21) + 4). What is the nearest to 0.1 in a, -4\/7, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 167579 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j + 81 = 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11669.\nAnswer: 7, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*v + 6. Let s = 4 + v. Let w = 148 - 145. Solve 4 = w*o - s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091967397.\nAnswer: 593, 1841429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -3.2092219, -3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4222, 8441, 12658, 16873, 21086, 25297?\nAnswer: 29506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 1, -5, -66, -22 in decreasing order.\nAnswer: 127, 1, -5, -22, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010001 - 11?\nAnswer: 10010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4579*s - 509. Is j(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/9 (b) 51 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) - sqrt(143)*1)*6) + 6*(sqrt(143) + sqrt(143) + -2*sqrt(143)))\/((6*1*sqrt(121))\/sqrt(11)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 + 297512*t**2 + 2*t - 148754*t**2 + 202 - 3*t**3 - 148758*t**2 to the form d*t**2 + k*t**3 + z*t + y and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 11*n**2 + 17*n + 23. What is r(-10)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -679*d**2*t**3 + d**2*t**2 + 2*d**2*t - 597*t**2 wrt t?\nAnswer: -4074*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11479499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, e: 16}. Give prob of sequence eeie.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 391, 60, -4, -0.5.\nAnswer: -4, -0.5, 3, 60, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -155\/6? (a) -0.3 (b) -5 (c) 0.5 (d) -94811\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/26 and -31\/256.\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2 (c) 102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72820 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y = 2. Let w = -4 + 6. Let t = w - y. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -9, 2\/15, 0.1, 3.6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:36 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -423*a**3*d**2 + 21*a**3 - 2*a**2*d - a**2 + 86*a*d**2 + a + 508 with respect to d.\nAnswer: -846*a**3*d - 2*a**2 + 172*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/9)*d)\/(d*d**(-4\/7)))\/((d\/(((d*d**(-2)\/d*d)\/d)\/d))\/d)**29 assuming d is positive.\nAnswer: d**(-5452\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 397443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*v + 95, 3*h + 29 = v + 8*h. Let c = 42 + -34. Solve -2*t + 5*l = v, 3*t - l + c = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 1, -6\/5, 4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302\/7 + 43. Let p = 791 + -788. Which is the fourth smallest value? (a) 0.2 (b) -8\/7 (c) p (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.2 (c) -53 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.30104+269.23329\nAnswer: 273.53433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 q when three letters picked without replacement from {c: 1, m: 1, q: 1, d: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 2. Let j(z) = -z + 1. Let l be j(2). Let k be -1*(l - 4) - 1. Let x(u) = u - 3. Determine k*x(y) - 5*o(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u - 11. Suppose 4*s - 766 = r, 0 = 4*s + u*r - 541 - 215. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 u when four letters picked without replacement from {s: 3, a: 7, u: 4, n: 1, i: 4}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 703*f + 1540. Give r(-232).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10270\/9165)\/79)\/(((-10)\/9)\/(-5))?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + 2*i - 65. Does 12 divide (-843)\/i + (-42)\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w - 5*g = 44, 88 = -4*w - 3*g. Let x = -18 - w. What is the nearest to -0.1 in 9, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1882824 and 608?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 7) + -13 + (0 - 6) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3155136 and 696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309323453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-18) + (-36)\/27.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*s + 5*w, -s - w = -5 - 1. Suppose -5*h - 75 = -y - s*y, -3*h + 6 = 0. Calculate the greatest common factor of 136 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 32. Let n = -2\/83 - -93\/415. Which is the third smallest value? (a) 2\/7 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -14.9. Let o be (-2 + 1)*(1 + -2). Put m, 0.5, o in descending order.\nAnswer: o, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 309 - 242. What is the common denominator of p\/988*-58 + (-40)\/(-10) and -55\/12?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 31\/15?\nAnswer: 31\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/22)\/(2587\/(-4378)))\/(2\/169).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**6\/5 - g**5\/10 - g**4\/3 + 5*g**3\/6 - 226*g. Find the third derivative of n(d) wrt d.\nAnswer: -144*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 781601*s**4 + 799309?\nAnswer: 3126404*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384, 381, 368, 339, 288, 209, 96?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 2. Let i be k(-8). Solve 9*c - i = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 886 = -104. Find the second derivative of -95*o**2 + 47*o**2 + 77*o**4 - 186*o - n*o**4 + 48*o**2 wrt o.\nAnswer: -1452*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3921 (base 10) to base 16\nAnswer: -f51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 2822987328?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2684456189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-69)*(-184)\/(-128)*-40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, y: 2, x: 9}. Give prob of sequence yxyn.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:39 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*p - 6*p. Let o = -4 - p. Let k(i) = -i**o + 2*i**2 + i**2. Let c(b) = -5*b**2. Give c(k(r)).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77448\/5 + -15419. Let r = d + -321\/5. What is the common denominator of r and (-1106)\/12*(-7)\/(-49)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r + 14 = 27*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 1 + 1)*(4*g**2 - g**2 - g**2) in the form s*g + y*g**2 + t + o*g**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5424, 5526, 5632, 5742?\n\"Answer: 2*f**2 + 96*f + 5326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12564817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a9b77 (base 15) in base 7?\nAnswer: 14015653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-6)*(10 + -2 + -11). Let l be (-3 + 2\/4)*d\/(-5). Solve 5*c - t - 4 = l*t, -2*c = 5*t + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1442712?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:58 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - u - 4*u. Let b(q) = -q**2 + 3*q + 15. Calculate the remainder when 26 is divided by b(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {z: 6, e: 11, p: 1}.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17050030)\/(20\/4) + 6. Round y to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*u - 8 = 0, 0 = -9*j + 4*j + 3*u + 20. Solve r - j = -1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 847.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7575 (b) 4 (c) -1100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21553 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 2, -16, -48, -94, -154, -228?\n\"Answer: -7*y**2 + 17*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/2 + 15*b**4 - 313*b**3\/2 + 660*b**2 - 968*b.\nAnswer: -b*(b - 11)**2*(b - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31\/(-10) - 2\/5. Suppose 12*z - 2*h = 13*z + 12, 0 = 3*z - h + 8. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-16 + (-13 - -16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/144 and -7\/408.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oph when three letters picked without replacement from phxpoppooxoooopopp?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18 - (-5)\/20*-12. Calculate the greatest common divisor of m and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**5 - 5*v**5 + 2*v**5 + (2*v**3 + v**2 - v**2)*(-v**2 + 3*v**2 - 4*v**2) - 3*v + 3*v - v**5 + (95*v**4 + 39*v**2 - 39*v**2)*(2*v + 0*v + v).\nAnswer: 284*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 18*o = -15*o + 5, p + o + 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - -2)*(-2 - 22\/(-8)). Let u(l) = -53*l + 13. Let n(a) = 13*a - 3. Let g(o) = h*n(o) - 2*u(o). Does 22 divide g(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163333 * -0.09.\nAnswer: 14699.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65411724 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = j, 0 = -2*w + j + 13. Suppose 0 = w*y - 3579 - 19837. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from hncnpkknnnvkvnhhpc.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**5 + 297*o**2 + 12*o + 37 wrt o?\nAnswer: -40*o**3 + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16 = u, u = 5882*n - 5886*n - 34 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**3 - 8*k**2 + 12*k - 1 wrt k?\nAnswer: 30*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 16*b + 38400. Round b to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 16*w + 11*w + 9700, 0 = -4*l + w + 38716. Solve l*s**3 + 6600*s**2 + 70 + 32*s + 154*s + 283*s + 10 - 6655*s**4 + 811*s = 0.\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 + 182. Suppose v - 4*d = 30, o = 3*v + 3*d - 6 - 9. Solve -v = -2*f, -7*l + 3*l - 2*f = -22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4690 - 4688. Which is the nearest to -2\/7? (a) r (b) 0.2 (c) 162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 41*h - 3*h)*(17*h + 13*h - 19*h).\nAnswer: 374*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -22 - (-6 + (3 + 7 - 9)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 5*p - 8, -13*p + 17*p + 11 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 69 = -834. What is the derivative of k + 101*j**3 - 6 + 28 wrt j?\nAnswer: 303*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61268 divided by 3604.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 822 + 27*d + 30*d - 56*d - 3*d**2 + (0*d - d + 0*d)*(d - 3*d - 2*d) to t*d + m*d**2 + p and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3456) - sqrt(3456) - sqrt(3456) - sqrt(24))\/(-6*sqrt(192) + sqrt(12)).\nAnswer: sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.22 (b) 44 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*t + 8, 2*u + t + 13 = 4*t. Let r be -2 + 1 + 35 - u. Calculate the greatest common divisor of 204 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5063580*l - 10015554 wrt l?\nAnswer: 5063580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106732657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38 + 31*g - 19*g + 3*g**3 - 14*g wrt g.\nAnswer: 9*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + f**2 + 2*f + 2. Let g be k(3). Let p be 5 - ((-8)\/20)\/(2\/g). Solve -p*s = -7*s - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 24 + -13 - (-1 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1*k*k*k\/(k\/k**(-15)))\/(k**(-37))**(-14) assuming k is positive.\nAnswer: k**(-531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/24*(-2 + -46). Suppose 349 = 7*p - l. Calculate the greatest common divisor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - (-5 + 16\/8))\/(1 - 2). Solve 3*k + 3*z + 9 = 0, 2*z = -6*k + 10*k - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -521 + 604.2. What is i rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Let x = 20 - 13. Let m(f) = -5*f**2 + x*f - 7*f. Calculate h(m(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1 - (8 + -10). Suppose -3*d - 4 + 37 = s. Suppose -1 + d = p. Calculate the least common multiple of p and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 8, 33, 70, 119, 180, 253?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11\/4)*p)\/p**(-8\/3))**37 assuming p is positive.\nAnswer: p**(407\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 418*x**3 + x**2 + 832*x**3 + 26 - 407*x**3 - 2*x**2 as w*x + s*x**3 + t + z*x**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2\/2 - 53988*c - 105281901\/2 = 0.\nAnswer: -34989, -1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -419, -628, -837, -1046, -1255?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135 - 207?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**4 - 3272*a**3 + 41964*a**2 - 83560*a - 128800 = 0.\nAnswer: -1, 4, 10, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 430*l**2 - 6020*l + 13720.\nAnswer: 5*(l - 98)*(l - 2)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.93 - 10. Let x = 0.37 + z. Let j be (-4675)\/(-11781) + (0 + -2)*(-2)\/(-14). What is the fourth biggest value in j, 1, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*(16\/(-20) - 2). Suppose -5*t = -b + q, -5*b + 270 = -0*b + 5*t. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - t - 73, 5*t - 55 = -v - 2*v. Let p = 17 - v. Solve -5*h + p = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1302*h**4 - 769 wrt h?\nAnswer: 5208*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1013 + -2?\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2 = 6*r + 2*f, 2 = -r - f. Let i(v) = -10 + 8 - r*v + 6. Suppose 10*b - 9*b - 6 = 0. Give i(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323414 is divided by 661535.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 - -1 - 4\/2. Let h = 21 + n. Let s = h + -4. Which is the second biggest value? (a) 2 (b) -3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95\/58, 0, 3, -3\/7 in descending order.\nAnswer: 3, 0, -3\/7, -95\/58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131 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: Divide 145 by -5.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + q + 84 = 13*k - 4*k, q + 3*k + 60 = 0 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.43 + 0.43. Sort 2, -5, -0.3, k in increasing order.\nAnswer: -5, k, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -1\/8, -4\/7, 15.253 in increasing order.\nAnswer: -71, -4\/7, -1\/8, 15.253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.4. Let i = -7 - -7. What is the second biggest value in v, -1, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0 (c) 19 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2 + 2*a + 3. Let i(z) = z**2 - z - 1. Let r(t) = -4*i(t) - w(t). Let b be r(-3). Let x(g) = g**3 - 3*g**2 - g - 2. Give x(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 19\/(-5) - (-2)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, -2, -23, 52\/7, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1 = -5*q - 9, 4 = -5*q - 2*k. Let o be (4 - 4)\/(0 - (-2 + q)). Suppose -5*s + 18 + 22 = o. Solve 3*t - s + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1385070407304+-46\nAnswer: -45.8614929592696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*j - 21*j - 432 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*z = 1525, 1527 = 4*a - 19*z + 20*z. List the prime factors of a.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8954 is divided by 2153.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 3*j**2 + 4*j - 3. Suppose 2*s - 4 = -2*z, 2*z - 3*s + 3 = 7. Let n be p(z). Suppose -1 + 6*v - 5*v + v**2 + n = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 31, 0.3, -1\/11, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74775079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 12. Let w(p) = -295*p - 25. Give -2*d(a) + w(a).\nAnswer: -293*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 3*j + 2. Let l be a(-3). Suppose 37 = l*p - 35. Suppose 5*r + 1 = v - p, 2*v = 3*r + 53. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o + 24. Let d(m) = m - 679. What is d(v(g))?\nAnswer: 4*g - 655","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/9 - 84790*f\/9 = 0 for f.\nAnswer: 0, 42395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 189215037.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16362962*v**3 + 16326*v**2 + 860.\nAnswer: 98177772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 25*o. Suppose -4*f + 33 = -f. Let s be z(f). Let g = -22 + s. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 9*x**2 - 17*x - 60. Let g be m(-8). Suppose 0 = -5*y + 5*d - 10, -g = 5*y - y - 5*d. Suppose 3\/5*w**y + 0*w + 0 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a - 31. List the prime factors of i(42).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10191876 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -15 - 14 - -23) + 4 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(24\/4))\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154 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: Two letters picked without replacement from {g: 3, v: 5, k: 2, u: 7}. Give prob of sequence vv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -226013, -225987, -225961, -225935?\n\"Answer: 26*u - 226039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -243800 divided by -2438\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from hlbhhhhhhlbhhbhvhhh.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265 by -215.\nAnswer: -53\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-8))\/(5\/(-20)). Let t be v*(-4 + -1)\/(-5). Suppose -3*k - t*k = -480. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.1 - 4. Let o = 4575.6 - 4576. What is the closest to c in 1.8, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**6 - 2*r**5 - 3146*r**3 - 47676*r**2?\nAnswer: 480*r**3 - 120*r**2 - 18876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 6*i**2 + 11*i. Let b be w(-9). Suppose 4*z = 4*s - b, -5*s + z + z + 180 = 0. What is the remainder when s is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*j*y**4 - 110*j*y + j + 6*y**5 + 3*y wrt y?\nAnswer: -108*j*y**2 + 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d. Suppose d = -3*m - 2*m + 100. Suppose -2*w = -0*w - m. What is the highest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.191 (b) -1\/7 (c) -686\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9208.14m in millimeters?\nAnswer: 9208140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k**2 - k**2)*(28 + 32*k + 64 - 31*k).\nAnswer: -3*k**3 - 276*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -2 - (-4)\/(-2). Let c be a\/(-3)*(-1 - -4). Find the second derivative of t**3 + t - c*t**2 + 4*t**2 + 0*t wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*w + 48*w = -8. Suppose 3*j - 71 = -3*m - w, 5*m = 3*j - 95. Let q = 68 + 4. What is the remainder when q is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192 - -426. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 24. Let d = -164 + 205. Sort q, d, -2 in increasing order.\nAnswer: -2, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g**2 - 40*g**3 - 21*g**2 + 41*g**3.\nAnswer: g**3 + 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 262, 475, 856, 1453?\nAnswer: 2314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 7:30 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t - 19 - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 324791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 5*x**2 + 6*x - 8. Let r be t(4). Suppose -4*f = z - 70, 5*z = 4*f - r*z - 58. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -812990, -1625983, -2438976, -3251969, -4064962, -4877955?\n\"Answer: -812993*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 2 - 2)*(-2 + 2 + k)*(-1354 + 32*k + 1354) + (3 + 1 - 2)*(56*k**3 - 26*k**3 - 42*k**3) to b*k**2 + m*k + p + j*k**3 and give j.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4810284705?\nAnswer: 3, 5, 320685647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6189, 24765, 55727, 99075, 154809?\n\"Answer: 6193*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.4 - 8. Let z = 1.97 - -0.03. Let y = -0.3 + 0.2. Which is the nearest to z? (a) y (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*r - 25 - 11, -51 = -5*r - f. Suppose -2*o + 14 + 20 = 0. Let n = o - -15. What is the remainder when n is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 0*h**2 - h**2 - 5*h + 6 + 0*h**2. Let c be (1272\/(-1060))\/(2\/10). What is q(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 + 154. What is the third derivative of 2*k**4 - 42*k**2 - 13*k**2 - 28*k**2 + y*k**2 + 3*k**6 wrt k?\nAnswer: 360*k**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3471 - -5864. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Suppose 24 = 3*z - z. Is (z - 6\/(-3)) + j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + t + 44*w = 4*t - 86, -2*t - 8 = 3*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1276338, 1276323, 1276308, 1276293?\nAnswer: 1276278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -140 + 14688?\nAnswer: 14548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let u(b) = 3*b**2 - 2*b + 3. Let n(f) = f**3 + 8*f**2 - 5*f + 6. Let t(m) = -n(m) + 4*u(m). Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 0*u**2 - u**2)*(8 + 4 - 15)*((-8*u + 5*u - 4*u)*(u - u - 2*u**2) + 4*u**3 - 2*u**3 - 4*u**3).\nAnswer: -72*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -117 - -116.9. What is z rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 3*t**3 - 11*t.\nAnswer: -3*t**3 - 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 9\/(-2))\/((-3)\/36). What is the tens digit of ((-1)\/(3\/w))\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -27753*i. Let j(a) = -a. Determine j(v(m)).\nAnswer: 27753*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/612305 and -1\/122461?\nAnswer: 612305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 293?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/240 + 7*n**4\/48 + n**3 - 22*n**2 - 17*n. Let i(r) be the first derivative of w(r). Let i(p) = 0. Calculate p.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000283321991 to six decimal places.\nAnswer: 0.000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d - 2620. Let v(a) = 8*a + 2622. Calculate 3*q(t) + 2*v(t).\nAnswer: t - 2616","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*k - 5*g - 20, 5*k - 15 = 4*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbb when four letters picked without replacement from bbblbbllbb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06779819 - -31.\nAnswer: 31.06779819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/((-1)\/3). Let b be ((-22)\/t + 2)*-2. Suppose -2 - 14 + 6 = -2*f. Solve -5*s = 3*k - b, -4*s + f*k + 9 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m + 4 + 10 + m**2 - 6 + 2. Let x be z(8). Suppose -6 - x = -3*n - r, 2*n + 4*r - 14 = 0. Solve 0 = -n*g + 2 - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/246 and -55\/18?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001060231094 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 3*p**2 + 3*p + 2. Let n(q) = 4*q**3 - 5*q**2 - 5*q - 3. Suppose 22*i + 654 = 2172. Let s = 74 - i. Calculate s*u(g) + 3*n(g).\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -10. Suppose 4*c = -0*u - p*u + 88, 5*u + c = 220. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 8. Let f be (r + 3)\/(4\/6). What is the highest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -201\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = -3*k + 6*k, -3*k + 4*p = -11. Solve -3*d + k*h - 2*h = 9, -d + 6 = 2*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/21*(-1485)\/(-275)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(3\/4)))\/(g\/(g*g\/(g\/(g**(-2\/9)\/g))*g))*(g**(-2\/17))**(-34))**(-31\/4) assuming g is positive.\nAnswer: g**(-5053\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 379 + -379.1. Which is smaller: q or 0.0981?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 6*t**2 - 2. Suppose -4*l - 6 = -3*l. What is w(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (-3*((sqrt(242) - (-1 + 2*sqrt(242) - sqrt(242)) - (1*sqrt(242)*-2 - sqrt(242))) + 1))**2.\nAnswer: 1188*sqrt(2) + 19641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, l: 4, d: 2}. Give prob of sequence luuu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1553.\nAnswer: -2\/1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 30 = 4*l. Let r(n) = 2*n**3 + 16*n**2 - 4*n - 27. What is the remainder when r(l) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, j: 4, f: 4, w: 2, q: 2}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3344 and 22000.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15*4)\/(70\/30*(-9)\/315).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6299, 6301, 6305, 6311, 6319, 6329?\n\"Answer: w**2 - w + 6299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -5. Let u = 8 + t. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 11. Let j be (-64)\/(-11) - p\/22. Let d be 2\/j*2*3. Solve -d*n - 4*a = -4*n, 5*n - 5*a = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116570 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -2084\/577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (51125955 - (-2)\/1)*(-2)\/28. Let b = 3644647 + m. Let y = b + 7213. Find the common denominator of y and 43\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 3*l + 3. Let f(a) = -a**3 + 4*a + 4. Let o(n) = 3*n**3 - n - 1. Let s be o(-1). Give s*f(b) + 4*q(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*s**3 + 5 - 4 + 21*s**3.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2040 = 12*f + 5*f. Let y be f\/(-72)*12\/10. Suppose i = 2*i. Solve -y*s + 2 = -s, -l - s - 1 = i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1437*c - 24*c**3 + 829*c + 608*c.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 116.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28318848 minus -496.78?\nAnswer: -28318351.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254 and 82804.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 3160384.\nAnswer: 15801920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61386543*g - 46623234 wrt g?\nAnswer: 61386543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -102*q + 97*q + 18, 0 = 2*u + q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:02 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 27. Let g be h(-12). Suppose 3*i + 20 = -43. Let t = g + i. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392a (base 16) to base 2.\nAnswer: 11100100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1387597.\nAnswer: 1387597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19532818?\nAnswer: 2, 37, 263957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**7\/840 + j**4\/24 + j**3 - 5. Let x(h) be the third derivative of f(h). Let z be x(-1). Solve 2*l + 0 + 6 = z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 234? (a) 0.3 (b) -1\/5068 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/42)\/(((-2)\/(-1))\/12)*2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1624, 1649, 1690, 1747, 1820, 1909?\n\"Answer: 8*v**2 + v + 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(7\/((-7)\/1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-105))\/(10*(-3)\/42)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110 - -11011001011001011110?\nAnswer: 11011001010111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*d**2*r**4 + d**2*r**3 - 39*d**2 + 3*d*r**2 - 2*d - 2*r**4 wrt r.\nAnswer: 456*d**2*r + 6*d**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 971798, 41, -4?\nAnswer: 971798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 1113?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1701 is divided by 157.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -49277 bigger than -49277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253 and 7315357?\nAnswer: 80468927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t + 1. Let c = -8 - -3. Is 22 a factor of j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y + 13*y + 6*y - 2*y. Let k(s) = 2*s**2. What is j(k(d))?\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-38)\/(-133))\/(15\/294). Factor o*b**2 - 17\/5*b + 4\/5 + 8\/5*b**4 - 22\/5*b**3 - 1\/5*b**5.\nAnswer: -(b - 4)*(b - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 32 - 3 = 0. Which is greater: w or -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 935 divided by -94.\nAnswer: -935\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/11 + 68876*j\/11 - 592987922\/11 = 0. What is j?\nAnswer: 17219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 6*m + 15. Let w(i) = i**3 - 3*i**2 + 5*i - 1. Let s(l) = -l. Let z(f) = m*s(f) + 3*w(f). Factor z(n).\nAnswer: 3*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30308090 rounded to the nearest 100000?\nAnswer: 30300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/30 + m**4\/24 - m**3\/6 + 1230*m**2. What is u(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (80\/(-24))\/(-10) + 202624\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -31*q**7\/6 - q**4\/6 - 2045*q**3\/6 + q**2\/2 + 53*q + 26. What is the second derivative of y(s) wrt s?\nAnswer: -4340*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cvccvxvcvcc?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 499, -2\/11 in ascending order.\nAnswer: -0.5, -2\/11, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 3. What is the smallest common multiple of 3*3*((-20)\/(-5) + -3) and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.067 - 950.633. Round u to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40449734, -40449636, -40449536, -40449434, -40449330, -40449224, -40449116?\nAnswer: -40449006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 3. Let h be c(-6). Let m = h + -15. Let p be (m\/12)\/((-1)\/6). Solve -3*b + p = 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 313, 2708, 9281, 22126, 43337, 75008, 119233?\n\"Answer: 349*b**3 - 5*b**2 - 33*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1108, -1139, -1196, -1279?\nAnswer: -1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 + u - u**3 - 14 - 3*u**4 + 32 to the form z*u**3 + d*u**2 + p + g*u + j*u**4 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (722\/(-10))\/((-11)\/55). Suppose -u*p = -364*p + 27. Solve -4 = -p*l + 41 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3*z - 4)*(0*z + 4*z + 6*z)*(z**2 + 2*z**2 - 2*z**2) in the form u*z**3 + m*z + p*z**2 + l + w*z**4 and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 0.0703?\nAnswer: 0.2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/3 + 2)*(1475 - -32). Suppose -x = 3*y - 5581. List the prime factors of y.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*p + 24, 9 = b + 4*p - 4. Let u be b\/2 - 18\/(-4). Let r(v) = v**2 - 6*v + 3. Give r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115920928 to the power of 1\/3, to the nearest integer?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.0357.\nAnswer: -0.01071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/100 and -73\/2950800.\nAnswer: 2950800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*j**2 + 5*j**2 - 2*j**2 - 18*j - 17*j**2 - 1 - 22*j in the form w + t*j**2 + r*j and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**2 - 3*p**2 - 2*p**2)*(0 + 2 - 4) - 20*p + 20*p + 11*p**2 + (12*p + 0*p - 2*p)*(-4*p - 7*p - 6*p) to the form m*p**2 + s + n*p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-111) + (-886)\/74?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 29. Let f be g(-12). Suppose 3*k + 12 = 0, 4*k = q - 0*k - f. Suppose q = 5*c - 9, -8 = -3*n - 4*c. Is n less than or equal to 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -173.08 from -304592335.\nAnswer: -304592161.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -6330\/851?\nAnswer: -6330\/851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*r + 3*y - 49, -5*y = 4*r - 19. What is the closest to r in -5\/3, 5, -1\/2, -37?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10790, -43656, -98426, -175094, -273654?\nAnswer: -394100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717415.2*0.3.\nAnswer: -215224.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 4*l**3 - 3*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.55398643 - -14.554. What is i rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.6 + -25. Let r = 0.1 + 0.3. What is the biggest value in n, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2461922 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c. Let q be (-4 + 4 - -3) + 3. Let v(b) = 2*b. Give q*d(l) - 26*v(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 372403627489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.036 + 2.964. Sort -0.5, i, 2\/181 in descending order.\nAnswer: i, 2\/181, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*4*(13020\/(-56))\/(-31).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 125\/(-25)*4\/(-430). Suppose 5*y - 20 = 5*c, 3*y + 2*c + 1 = -2*y. Is k bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 9. Let y(p) = 3*p + 11. What is -4*f(x) + 3*y(x)?\nAnswer: 5*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbecdcecbbeceecdb. What is prob of sequence ccbc?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**6\/105 + d**5\/5 + 6*d**4\/7 + 34*d**3\/21 + 11*d**2\/7 + 672*d. Factor p(a).\nAnswer: 2*(a + 1)**3*(a + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 1 = 49 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/(f**(2\/9)\/f))\/(f**(-2\/7)*f**(-2\/5)) assuming f is positive.\nAnswer: f**(-484\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.72 - 25. Let l = -10.42 + g. What is l rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n)*(17 + 23 + 17).\nAnswer: 57*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by -779\nAnswer: 106\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-40)\/4)\/(1 - -1). Let m be 44\/12 - g - -2. Which is the second smallest value? (a) -12 (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owsse. Give prob of sequence owow.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/20 + 17*t**4\/12 + t**3 + 15*t**2\/2 + 14*t - 126. Determine a(17).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = 0, -i + r - 8 = -0*r. Let f = i - -25. Suppose -2*y - 12 = -7*b + 2*b, -f = -4*b - y. Solve w = b*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 i when four letters picked without replacement from ibbififeiixibiziiz?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/12671 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2009*g + 7159. Let f(x) = 489*x - 1790. Let i(h) = -2*c(h) - 9*f(h). What is the first derivative of i(p) wrt p?\nAnswer: -383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-90 + -12 + 12). What is the highest common divisor of 1271 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1026 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2576307 meters?\nAnswer: 257630700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/5)*t*t*(t**(-6)*t)\/t*t*(t**(2\/5)\/t)**(1\/6) assuming t is positive.\nAnswer: t**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 27, -4, -5, 0.003, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 3*l**2 + 2*l - 4. Calculate j(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8603705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:01 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218720, -438105, -657490, -876875?\nAnswer: -1096260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211486 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 392743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {f: 2, q: 6, y: 2, p: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/12)\/((-1)\/(-4)). Suppose -7 - 12 = -5*c + 2*d, k*c - 5*d - 16 = 0. Suppose -48 = -4*o - 4*m, -c*o + 25 + 8 = 2*m. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3370*a - 212317. Give b(63).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 4 (b) 3 (c) 0.07 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-4))\/(-30)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308197893.\nAnswer: 79, 2383, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 1, v: 1, h: 2, j: 2}. What is prob of sequence hjh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 121\/3340307 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*8\/30*3\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1635996 = 4*v - 6*m, -5*v = 3*m - 2044973. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3788*y + 22619. Give a(6).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/28 + (-4)\/(-14). Suppose -12 = -0*u + j*u. Suppose -r - 3*r = -16. Sort -3, r, u in increasing order.\nAnswer: u, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*m + 4 = -3*r, 5*r - 28 = -2*m. Suppose -3*b + 5*u = -r*b + 22, -5*b + 26 = 4*u. Let v be 12\/(-45) - b\/(-3). Is v != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -90008, 23 in descending order.\nAnswer: 23, 11, 1, -90008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 25. Let m be 1\/3 + (-14)\/(-3). Let q(u) = 2*u + 2. Let j be q(6). Solve -m*t + 8 + 3 = -2*v, -p*t + j = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 2*s)*(-34*s**3 + 34*s**3 - 5*s**4) - s**5 + 7*s**5 + 6*s**5.\nAnswer: 17*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18807219?\nAnswer: 3, 17, 83, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzkz when four letters picked without replacement from kzzkzk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 8 + 0 + 5. Let i(h) = h + 2. Suppose 2*c + 6*c = 24. What is c*i(d) + 2*s(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7)\/v*v)**(-2\/9))**(-35\/2) assuming v is positive.\nAnswer: v**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1642 in -11, -0.3, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 - 118. Let z = m - -940. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 496683, 494837, 492991, 491145, 489299?\nAnswer: 487453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/12)\/((-5)\/(-150)*2). What is the nearest to 0.05 in 3, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/117 and 5\/104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b = 6. Let t be (b\/(-5))\/3*5. Factor 2*g**t + 5*g**2 - 11*g**2 - 8*g.\nAnswer: -4*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*o + 104 = -144, 17*o = 3*x - 149 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 521891189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 7. Let u(d) = 6. Let h(k) = -3*o(k) - 4*u(k). What is the units digit of h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -167160, 1 in decreasing order.\nAnswer: 2, 1, -167160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n + 29. Let p be c(7). Calculate the highest common factor of p and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let i(d) = -36*d + 44. Let g(w) = -108*w + 116. Let k(b) = 3*g(b) - 8*i(b). Calculate -k(t) - 5*x(t).\nAnswer: 31*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 988 by 247.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.224138728 rounded to 4 decimal places?\nAnswer: -1.2241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776297 is divided by 776269.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 7. Let r be 1 - 78\/o - (-1)\/4. Let g(p) = 2*p + 11. Let f be g(r). What is the highest common factor of 363 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 i when four letters picked without replacement from {i: 4, w: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 - -0.4. Let f = 3 - 2. Let m be 10*(-54)\/(-120)*(-1)\/6. Which is the closest to u? (a) f (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32649, -127775, -285375, -505449, -787997, -1133019, -1540515?\n\"Answer: -31237*b**2 - 1415*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**4\/y)\/y)\/y*y*y**24)\/((y**(1\/14)*y)\/(y*y**(11\/6))) assuming y is positive.\nAnswer: y**(583\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -39.96. Let d = -1.2 + -0.8. Let q = d - a. Put q, -5, -2\/19 in ascending order.\nAnswer: -5, -2\/19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -s - 276 + 280, 36 = -6*s - 2*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79*(5 + (-8)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 4*l**3 + 2*l**3)*(l**2 - 19632*l + 9713*l + 9655*l).\nAnswer: 2*l**5 - 528*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 17*i - 32. Let x be y(-19). Is x bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201010 (base 4) to base 6\nAnswer: -13444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(1\/13)\/m*m*m)\/m)\/m**(-2\/15)*m*m*m**(-2\/3)*m*m\/(m\/(((m\/m**(-5\/4))\/m*m)\/m))*m assuming m is positive.\nAnswer: m**(4519\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Let i = 11 + y. Solve -u**2 + 2*u**4 + u**4 + i*u**3 - 15*u**3 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 151e + -21?\nAnswer: 14ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**3 + 5*v**2 - 3*v. Let i(f) = 3*f**3 - 3*f. Calculate -i(p) + n(p).\nAnswer: -9*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1425*i - 4. Let b(p) = -54152*p - 154. What is 2*b(g) - 77*m(g)?\nAnswer: 1421*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7384)\/920 + (-38458)\/(-4690)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + -5 + -3 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a week in hours?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 - 0.01. Suppose -4*k = k - 5*d + 175, 0 = 5*d. Let p be 10\/k + 40\/91. Is u not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 26, 17, 4, -13, -34?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 996037.\nAnswer: 996041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 219*j - 2. Let u(n) = -54*n - 2. Let b(g) = d(g) + 4*u(g). Suppose -2*t = -14 - 10. What is b(t)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522216, 1044438, 1566660, 2088882, 2611104, 3133326?\nAnswer: 3655548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 2599*g + 1010548.\nAnswer: (g + 476)*(g + 2123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35736\/(-14890))\/(28\/(-1435))?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*r**2 - 66 + 66.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/40 - (-3478200)\/(-35496000).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5095 + 1973 = 0. Suppose 451*o - 270 = c*o. What is the remainder when o is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -18 - 2. Solve -41 = x*k - 5*s - 16, -5*s + 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxxxxxxxxvxxx. Give prob of picking 4 x.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -591 by -1072.\nAnswer: 591\/1072","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -607 (c) -2\/3 (d) 4206\/11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473592 is divided by 473581?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 143?\nAnswer: -57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 65 = 0. Suppose -4*q + 19 = -h. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 11) to base 4.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 2*i**2 + i - 1. Let s be p(-3). Suppose s*g = 5*k - 140, 0*k + 3*g = k - 26. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -2. Let f = r + 5. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 take away 42979472.45?\nAnswer: -42979472.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192404.\nAnswer: 2, 3, 99367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2611*z**4 + 6*z**3 - 12*z**2 + 6*z + 21. Let j(s) = -2612*s**4 - 7*s**3 + 14*s**2 - 7*s - 21. Let l(m) = -6*j(m) - 7*n(m). Differentiate l(y) wrt y.\nAnswer: -10420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-4 + -2 + 3 - ((16 - -24) + -39)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 516\/10*(-540)\/(-16632)*-77\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10450100 and 7315070?\nAnswer: 73150700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4\/117, -3 in ascending order.\nAnswer: -3, -2, 4\/117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 = 5*j, 3*j = b - 2*b + 18. Let k = 1 - 1. Let n be k - 0 - (-3 - -1). Solve 9*s = 4*s + 3*r + 15, -n*r + b = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 30\/((-13)\/(3549\/(-6)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -78. Let j be (-4)\/i - 168\/(-77). Put j, -2, 3 in ascending order.\nAnswer: -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -16497*v - 16471. Give w(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -3 - -4)\/(-1). Suppose 3*h + 2*d + 58 = -t*d, d + 5 = 0. Let r(n) = -n**3 - 17*n**2 - 17*n + 15. What is the tens digit of r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2022124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 2*k**4 - 4*k**4 + (2*k**3 - 7*k**3 + 16*k**3)*(-2*k - 5 + 5).\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 + 2*i. What are the prime factors of w(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 7361630*v + 397513440.\nAnswer: 5*(v + 54)*(v + 1472272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2))\/h*h)**(-42)\/(h**(-1\/4)*h\/h**(-2)) assuming h is positive.\nAnswer: h**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*(14490\/(-60))\/69?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.03 and 98025 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n. Suppose 2*p + 20 - 24 = 0. Let g(c) = -c + 5*c + p*c - 29*c. Give g(z(s)).\nAnswer: -92*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93930.\nAnswer: 2, 3, 5, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13475 and 10850.\nAnswer: 835450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/12)\/y**(-23\/3))\/(y**39*y**(-1)\/(y**(2\/21)*y)) assuming y is positive.\nAnswer: y**(-821\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6252, -6258, -6278, -6318, -6384, -6482, -6618, -6798?\nAnswer: -7028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*f - 5. Let g(n) = n**3 + 4*n**2 - 5*n - 6. Calculate g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 13*q**2 + 11*q + 32. Let z be v(12). Suppose -z*t + 81 = -79. Calculate the greatest common factor of 16 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 77\/3. Let o = -3525.96 + 3615. Let n = o + -89. Which is the closest to w? (a) n (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5401566.1 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.5253 and 0.025.\nAnswer: 0.4131325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(63) + sqrt(567)\/sqrt(441)) - (2*sqrt(126)\/sqrt(2) - sqrt(63))*-3)*4.\nAnswer: -132*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 1, d: 3, w: 1, r: 1}. What is prob of sequence rt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990\/1031 at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3*4\/(-60))\/(-1 + 8\/5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/30 - 7*u**3\/45 - 2*u**2\/15 - 8*u. Determine b, given that y(b) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:27 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 16*t + 17. Determine w(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, b: 1, h: 4, r: 6, f: 7}. What is prob of sequence fbq?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8387, 8389, 8391?\n\"Answer: 2*b + 8385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132872 is divided by 3591.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)*(v\/((v\/(((v**(8\/9)*v*v)\/v)\/v))\/v))\/v assuming v is positive.\nAnswer: v**(-73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0*s**3 + 0*s**3 - 2*s**3) + 0*s**2 + 0*s**2 - 2*s**3 + (-9*s + 12*s + 7*s)*(12*s**2 + 75*s**2 - 10*s**2).\nAnswer: 766*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.213 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9277 - 9224. What is the least common multiple of 371 and n?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002243841943 rounded to six dps?\nAnswer: -0.002244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180 - -129.5.\nAnswer: -50.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -4.513 (c) -522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39275\/70189 - -119\/10027. Suppose -q*p - 2\/7*p**2 + 0 = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -94.\nAnswer: -5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-10))*(j**(-6)\/j)\/j)\/(((j*((j*j*j\/(j\/j**(-5\/4))*j)\/j)\/j*j)\/j*j*j)\/j*j*j**3) assuming j is positive.\nAnswer: j**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, -78\/11, 4, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w - 14. Calculate s(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1058, -4150, -9302, -16514, -25786?\nAnswer: -37118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -151, -138, -101, -28, 93, 274, 527?\n\"Answer: 2*q**3 - q - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3846406, -3846411, -3846418, -3846427?\nAnswer: -3846438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6, h: 9, o: 1, c: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4778832831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4113 - -2?\nAnswer: -4111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5689\/4 + -1404. Let y = 20387\/6 + -3396. What is the common denominator of d and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 17. Let g be q(-11). Let v(a) = -a**2 + 2*a. Let l be v(5). Let t = g - l. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(8)*4.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -26. Let p(m) = m**2 - m - 17. Is p(u) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h + 1824. Suppose 3*j - 9*j = 0. List the prime factors of s(j).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:10 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 2972\nAnswer: 2972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Let c be (-60)\/(-3) + 1 + q. Round c to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(171\/(-12))*(-7 + (-1010)\/40)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 15}. Give prob of sequence vvvv.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17489 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**5\/60 - 11*x**4\/24 + 103*x**3\/6 + 33*x - 1. Let o(r) be the second derivative of w(r). Give o(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2714966152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24990815 is divided by 25066.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*k = 3779 - 9526 - 6369 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119375324 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + 7*z**4\/6 + 2*z**3\/3 - 5*z**2 + 21*z. What is the remainder when o(14) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*r = 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a meter?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/27)\/4*(-9)\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 7*p**6\/30 - 8*p**5\/5 + 9*p**4\/2 - 20*p**3\/3 - 21*p**2. Factor r(m).\nAnswer: 4*(m - 1)**2*(7*m - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m*x**3 - m*x + 254*m + 26*x**3 + x**2 wrt x?\nAnswer: 12*m + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/39 - (-69888)\/1521) + -10 + 2. Solve 0 = -l*g - 299 - 5 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(121)\/(sqrt(88)\/sqrt(2)))**2 - (6*sqrt(44)\/sqrt(36))**2).\nAnswer: 495\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {o: 1, c: 1, f: 1, j: 5, m: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -p + 2*p + 3*x, 5 = x. Which is smaller: 8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*p + 61125847 = 559*p + 440*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 2415707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 23*w**3 + 5*w**3)*(0 + 2 - 3).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/c**1))\/c*c**5)\/(c**(-2\/5)*((c\/c**(-5))\/c)\/c)*c**(-1\/7)*c*c\/(c\/c**4*c)*c*(c**(2\/5))**(-31) assuming c is positive.\nAnswer: c**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: e77 (base 15) to base 6\nAnswer: 23034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5703 and -1345.785.\nAnswer: 4357.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-178)\/3)\/((-82)\/399873) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 2\/3 (c) -8 (d) -13 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2017.\nAnswer: -5\/2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**8\/10080 - 7*o**5\/60 - o**2. Let q(p) be the third derivative of b(p). Let r(a) = 13*a. Calculate r(q(i)).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20.5 * -1.37\nAnswer: 28.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -996*k - 1445*k - 1998*k - 122*k as t*k + b and give t.\nAnswer: -4561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = f, -3*f - f + 28 = -4*r. Suppose -11*p + 7*p - 4 = i, 5*p = -2*i - f. Which is the closest to -1\/3? (a) 3 (b) p (c) -3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -687508407 divided by -3\nAnswer: 229169469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78975126 is divided by 3727.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -3, 4, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*z = -45. Let s = -5 - z. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820925775 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 11) to base 2\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268\/3 + -89. Let v(y) be the first derivative of i*y**3 - 3 - 3\/2*y**2 - y. Determine v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 150455 + 206751 = -27794. What are the prime factors of c?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 78.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -35, -82, -155, -260, -403?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -5 (b) 2\/11 (c) 0.5 (d) 16.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = 5*q + 11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b - 3. Let k(y) = -12*y + 2. Let n(s) = 4*k(s) + 3*u(s). Let o be n(-4). Suppose 5*z = o + 35. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 6*i**2 + i**3 + 3*i**2 - 2*i + 0*i**3 - 8*i**2 as y*i**3 + t + s*i**2 + h*i + l*i**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -0.2, 0.1, 8, -1\/2 in descending order.\nAnswer: 8, 0.1, -0.2, -1\/2, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = -15. Determine f, given that -2*f**2 - f + 0*f**4 - 4*f**5 + 2*f**5 + 2*f**4 + 3*f**m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**6\/10 + 39*x**5\/20 - 7*x**4\/6 - 2807*x**2 - 8*x - 310. Find the first derivative of v(f) wrt f.\nAnswer: -12*f**3 + 117*f**2 - 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*s**2 - 5*s + 28*s + 8 + 3*s - 5*s - 20*s to the form t + z*s + f*s**2 and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -38) + (6 + -1 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 910247350 to the power of 1\/2, to the nearest integer?\nAnswer: 30170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -0.3, 0.09, 4, 2\/13, -17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, -11, -47, -99, -167, -251?\n\"Answer: -8*k**2 + 4*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 203*a**2 - 786*a - 245263. Give u(-205).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 58*r - 86. Let s(k) be the third derivative of -29*k**4\/12 + 14*k**3 - 50*k**2. Let o(g) = 4*c(g) + 5*s(g). Differentiate o(v) with respect to v.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**3 + 0*a**2 + 0*a**2)*(a + 0*a + a) + (113*a - 4080 + 67*a + 4081)*(4*a**3 + a**3 + a**3) as p*a**3 + f*a**2 + r + b*a + y*a**4 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144041477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*n - f, -4*n - 15 = -6*n - 5*f. Let s be (2 + -4)*2\/(-2). Suppose -3*a - s*a = 0. Solve -10 = n*k, -5*b + a = k + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 + -93. Which is smaller: 3\/1133 or x?\nAnswer: 3\/1133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 11016.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**17\/f))\/f**18)\/(f**13*f)**(-38))**(-37) assuming f is positive.\nAnswer: f**(-18463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 199 = -7*y + 4*y, 0 = -4*y + 20. Let m = -30 + l. Calculate the remainder when m is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 307*r - 9. Let h(a) = 3992*a - 120. What is -3*h(g) + 40*m(g)?\nAnswer: 304*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*n**2*p**2 + 2*n**2*p*t - 10*n**2*t - 3*n**2 - 10*n*p**2*t + 6*p wrt t?\nAnswer: 2*n**2*p - 10*n**2 - 10*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*l - 112*l - 19432 = 0. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 - 158. Solve -2*k - 16 = -y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362133 (base 7) to base 12\nAnswer: 31b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1080*i**2 - 30207*i + 924.\nAnswer: -3*(i + 28)*(360*i - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2\/9, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14656 is divided by 4881?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056 and 174324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.00302 + -0.47808. Round i to 1 dp.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1081 divided by -47?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 675, -4, -1, 3, 0, -708 in descending order.\nAnswer: 675, 3, 0, -1, -4, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 734*d**2 + 7*d - 575*d**2 + 4*d.\nAnswer: -1309*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 879, 1756, 2633, 3510, 4387, 5264?\n\"Answer: 877*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11*l = -1482. Is 115 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 153 - 133. Suppose -24 = -a - z. Suppose 0 = d - 5*n - 40 - 25, -188 = -a*d - 4*n. What is the greatest common divisor of 50 and d?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let y(j) = j**3 + 4*j**2 + j - 6. Let f be y(-3). Factor f - 3\/2*r**3 + 1\/2*r + r**m.\nAnswer: -r*(r - 1)*(3*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {r: 1, m: 2, d: 1, w: 1, l: 1, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**8\/280 + r**5\/60 + r**3\/2 - 5*r. Let h(b) be the second derivative of m(b). What is the second derivative of h(k) wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 2*o + 5*o + (-2*o + 4*o - 4*o)*(-3 + 1 + 4) - 4*o - 2*o + 5*o + 30*o + 36*o + 21*o.\nAnswer: 83*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 167*x + 3864.\nAnswer: (x + 24)*(x + 644)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 167 = -3*j, g + 3*j - 13 = 172. Calculate the highest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 14*f = 40. Suppose -4*k = 42 - 26. What is the units digit of (1 + 26\/4)\/(k\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24624 divided by 114?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4\/7))\/g**18)\/(g**(-17)*g**(-6)*g*g) assuming g is positive.\nAnswer: g**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**2 + 8*h - 17. Suppose 5*f - v = 24, f = v - 4*v - 8. Let x(c) = -2*c**2 + 3*c - 6. Give f*s(z) - 11*x(z).\nAnswer: -2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = 3. Find the first derivative of -z - 3 + u - z + z wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 + u + u + 10 + 2*u - 192*u**2 + 4*u wrt u?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -28*h + 135. Let a be u(4). Suppose a = -4*l + 727. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 4*s - 1. Let t(o) = -150*o**2 - 88*o. Let b(j) = -r(j) + t(j). What is the second derivative of b(x) wrt x?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in 169\/5, 41, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 5*v + 50. Let x be m(-10). Suppose x = 18*q - 0 - 0. Let n = 9 - 4. What is the closest to q in 0.1, 4, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6488142.1 to the nearest 100000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i. Let u(n) = 9*n - 12560. What is u(g(a))?\nAnswer: 27*a - 12560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p**3 - 6*p**2 + 9*p. Let q(j) be the second derivative of -11*j**5\/20 + 7*j**4\/12 - 5*j**3\/3 - j + 169. Calculate -6*a(y) - 5*q(y).\nAnswer: -5*y**3 + y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/33, -3, 0.8, 5 in decreasing order.\nAnswer: 5, 0.8, 2\/33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -228*q**2. Let c(x) = x**2. Determine n(c(s)).\nAnswer: -228*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(-3394)\/(-40))\/1. Let z = w - -170. Let k = -124 - -1489\/12. What is the common denominator of k and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*p - 11, p - 2*p = -3. Let u = 13 - b. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - -43. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -5, -0.2, 159, -3?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9088500 divided by -4544250\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 6*j - 4. Let p(g) = -5*g**2 - 12*g + 7. Let u(d) = -3*p(d) - 7*t(d). Suppose 2*b + 5*l = 0, -3*b + 5 = 8*l - 3*l. What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*d - 194 = 0, -1576*d = 49*j - 1575*d - 2306 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:08 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -0.075?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 5*j - 3. Is y(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3200 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 5. Let r(i) = 33*i - 5*i + 1 - 27*i - 2*i. Let z(n) = n. Let m = -6 + 4. Determine m*z(t) + v*r(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-9))\/((s*s**(-3))\/s)*s\/(s\/(s**(8\/7)*s))*s*s**(-12) assuming s is positive.\nAnswer: s**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 565, 0.004, -43, -9 in ascending order.\nAnswer: -43, -9, 0.004, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 83*m - 15. Let i be f(2). Let c = -82 + i. What is the remainder when c is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4381514 rounded to 3 dps?\nAnswer: 2.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (2 + -13 + 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 990\/(-13) - (-10)\/65. Put 5, n, 2 in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 0.4 (b) 1\/8 (c) 6 (d) 0.3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -839648?\nAnswer: 419824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, -85, -279, -545, -883, -1293?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6104606, 6104608, 6104610, 6104612, 6104614?\nAnswer: 6104616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 - -222. Let s(d) = -21*d. Let r(p) = 32*p. Determine j*r(b) - 8*s(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d - 25*d**3 - 14*d)*(0*d**2 + d**2 - 3*d**2)*(-1 - 2 + 1).\nAnswer: -100*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48928?\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*h + 8, -5*j - h - 4*h = -30 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11741, 11764, 11831, 11966, 12193?\nAnswer: 12536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*v - 1. What is the closest to -0.05 in 4, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*a + 2, -5*a + 2*a - 12 = 0. Suppose -d*r + 8 = r. Solve r*c + c = -3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 234*h - 921. Let x be i(4). Let s(b) be the third derivative of 11*b**5\/60 - b**3\/6 + b**2. What is s(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b - r, -4*b - 2 = -b + 5*r. Solve -5*k + 3*u = -9, 0 = -k - u - 2 - b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3170880628?\nAnswer: 2, 127, 1069, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/15 + (-1 - (-24)\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 85.9 (c) -146597\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-24)*17892\/(-2982)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 222405.53\nAnswer: -222409.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276978 by 3.\nAnswer: -92326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r. Suppose -576 = -4*g - 9*g - 11*g. Let i(n) = 9*n**3 - 2*n**2 + 8*n. Determine g*b(v) + 3*i(v).\nAnswer: 3*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 109.\nAnswer: -12\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-2 - 1 - -3). Let c be (-8)\/(-6) + d\/6. Solve -c*k = 10, 10 = -a - 3*a - 2*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 + (2 - -48). Suppose 4*k = 6*k - z. Let n(f) = f**3 - 32*f**2 - 138*f - 213. Let j be n(36). Solve -6*b = -b + l + k, -j*b = l + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + 2*w + 1. Let a be q(-1). Let b be 3*(-1)\/(-3)*a. Let t = b + 0. Solve -7*g = -t*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 6. Let a(s) = 5*s - 5. Let g(c) = -6*c + 5. Let y(n) = 4*a(n) + 3*g(n). Calculate 3*q(w) - 4*y(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18290051 divided by -1?\nAnswer: 18290051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6774 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*r + 4*r - 0*h - 18*h + 515, -140 = -4*r - 4*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2855969.534 rounded to the nearest 10000?\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by -1704606?\nAnswer: 269\/1704606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103882?\nAnswer: 2, 51941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-1)\/2). Let z = -16.013 + 16. Let h = z - 0.037. Which is the biggest value? (a) 0.5 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -0.33, -0.108 in decreasing order.\nAnswer: -0.03, -0.108, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose q*y = 8, 4*x = -4*y - 0 + 24. Is x*(0 - (-57)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -1. Let k be 22058\/(-1204)*3\/j. Let l = k + 3\/344. Calculate the common denominator of 53\/10 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*m - 0. What is the remainder when (240\/(-2280) - 1706\/38)\/(10\/(-12)) is divided by 254\/9 - (-2)\/m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 45) + 2 + 1 + 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, u: 5}. Give prob of picking 2 r.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13232263 rounded to the nearest 10000?\nAnswer: 13230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -2772, -0.13, -36.\nAnswer: -2772, -36, -2, -0.13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**4\/4 - 4*s**3\/3 - 2*s**2 + s - 24. Let n be a(5). Is 105 + (n\/12)\/((-2)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -65*j - 5. Let s(y) = 131*y + 9. Let b(x) = -11*c(x) - 6*s(x). Let m be b(-1). Suppose 48 = 5*p - m. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 9. Let v be o(0). Let m(q) = -q**3 - 4*q**2 + q - 16. Let l be m(-5). Let i = l - v. Put i, 5, 1 in decreasing order.\nAnswer: 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 11:37 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 783956090 to the nearest one hundred thousand.\nAnswer: 784000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70428 - -104081. Calculate the greatest common factor of i and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = 23*y - 200 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 841243754*z**3 - 562584423.\nAnswer: 2523731262*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 10:16 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5043 divided by -6037\nAnswer: -5043\/6037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 31. Solve 4*l = -2*m - 18, -2*l + 3*l - m = -u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - 4*s)*(1 - 1 + 1)*(0*s**2 + 0*s**2 + 2*s**2) + 0*s**2 + 0*s**2 - 3*s**3 + (-3*s**2 + 5*s**2 - s**2)*(-1 + 1 + s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-1330)\/264 + (-330)\/(-66) and (6\/(-24))\/(3\/(-13)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/10 (b) -1\/8 (c) 22574\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -0.03 (c) 0.2 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506149583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*m + 73 = 8*u, 0 = -5*u + 4*m + 71. Suppose -b = -u + 70. Let y = b - -147. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaauaauaaaaauaaaua. What is prob of sequence uu?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**2 + 20*c + 551. Give z(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 5)*(0*n**2 - 3*n**2 - n**2)*(3*n - 9 + 9)*(-n + n + n) as m*n**2 + s + t*n**3 + x*n**4 + k*n and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4811884 is divided by 91?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3\/4, -0.3, 2, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1891, 1697, 1503, 1309, 1115?\n\"Answer: -194*c + 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29974 + -29767. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 0 + 0 + (-3*c - 2*c + 0*c)*(-1 + 5 - 2) + 5*c - 4*c - 3*c)*(0*c**2 + 4*c**2 + 4*c**2) to a*c**3 + y + t*c + p*c**2 and give a.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883506129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -425449*k**2*z**2 + 6*k**2 + 4*k*z - 148*k - 1 wrt z?\nAnswer: -850898*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44648 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 9*j**2 - 4*j + 21. Let s(x) = x**2 - 1. Let c(g) = -m(g) + s(g). Is c(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -f + 8, 2*f - 3*m = 7*f + 52 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, -215, 1, -4, 2, -19.\nAnswer: -215, -19, -4, 1, 2, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = o - 5*a, 0*o = 5*o + 3*a - 220. Suppose 9*w - o - 13 = 0. List the prime factors of (w\/12)\/(3\/12) + 187.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.76 - -6.34. Round q to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361779.6km in centimeters?\nAnswer: 36177960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**6\/15 - 51*i**5\/40 - 107*i**4\/24 + 5*i**3\/2 + 766*i. Let q(z) = 0. What is z?\nAnswer: -10, -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-o**4 - 2*o**4 - 5*o**4) + (-4 - 7*o + 4)*(-3*o**3 + 5*o**3 + 16*o**3).\nAnswer: -134*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4\/69, -3\/10, 1\/5 in increasing order.\nAnswer: -3\/10, -0.1, -4\/69, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5 - 12*s**2 - 10*s**3 + 2*s**2 + 11*s**3. Let i be m(10). Solve 3*y + 3*j - 16 = 5, -i*y = j - 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*x = -3452, c = -4*x + 7*x + 687. Suppose -5*g + c + 1030 = 0. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 1, i: 1, c: 6, j: 3, z: 6}. Give prob of picking 1 y and 2 z.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0.3, 1, 10.223425, -3 in decreasing order.\nAnswer: 10.223425, 1, 0.3, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4\/5, 14, 6.7624 in ascending order.\nAnswer: -5, -4\/5, 6.7624, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26433, 26536, 26639, 26742, 26845, 26948?\n\"Answer: 103*i + 26330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*z - 45*z - 908*z - 2 + 2 + 2*z + (3*z - 4*z + 3*z)*(-4 + 2 + 3) + 2 - 2 - z in the form c*z + x and give c.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 9. What is the remainder when 32\/(0 + 1 + i) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 68. Let r be y(18). Let h(b) = -9. Let x(t) = -t - 8. Let u(k) = 2*h(k) - 3*x(k). Determine u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*g - 192*g + 36. What is the remainder when 53 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-8) - (-6)\/4. Find the third derivative of u*r**6 - 7*r**2 + 3*r**2 + 0*r**2 wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f - 21 - 33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (-4 + 17 - (-32 - -35)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 712, 2435, 5374, 9523, 14876, 21427, 29170?\n\"Answer: -q**3 + 614*q**2 - 112*q + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4958 and 402.\nAnswer: 14874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 9*k**2 + 20*k + 2. Let n be x(5). Suppose 4*d + 5*i = 132, 72 = 4*d - n*i - 60. Let f = d + -29. Solve f*v - 4 = -20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 3*n - 4*n)*(3 - 2 + 1 + (0 - 1 + 0)*(-1 - 6 + 5) - 3 + 1 + 1) to z*n + h and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3 + 27. Suppose -5*x = -3*n + 3, -t*x + 15 = -x. Find the second derivative of -6*v**3 + 0*v - n*v**2 + 6*v**2 + 2*v wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5 less than -66709634?\nAnswer: -66709626.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from aauuoaoqno?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 + l**2 - l - 1. Let k be w(-1). Let j(i) = -i - 8. Let x be j(-12). Solve -4*t + x*u = -3*t + 10, k*t + 3*u = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385, -592, -797, -1000, -1201, -1400?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5485 + 5489. Solve -4*h + 3*b = -8, -r*h + 28 = 5*b - 3*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -277753.04 and -12.\nAnswer: 3333036.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/34 in 0, -5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6789665 and 1203777?\nAnswer: 3605312115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0 - x - 68*x**2 - 5*x**3 + 7\/12*x**5 + 5\/24*x**4. Factor o(h).\nAnswer: 5*(h + 1)*(7*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*y**4 + 9*y**2 - y + 2 + 6*y**3 - 11*y**2 - 4*y**3 as q*y + b*y**4 + o*y**3 + i*y**2 + p and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Suppose 4*m + r + 2*r = -7, r = 2*m - 9. Solve -4*n - 7*n**2 + 75*n**3 - n**4 + 7*n + i*n**m - 70*n**3 = 0 for n.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(91) + (sqrt(91)*-1 - sqrt(91)))*3)\/(1*-4*sqrt(7)).\nAnswer: -5 + 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = -i + f, 3*f + 22 = 5*i. Let x = -929 + 939. Suppose -6 = i*c - 5*p, 3*p - p = -3*c + x. Solve 2*h = -c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/34816 and 99\/21760.\nAnswer: 174080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 166 + 48*m**2)*(-1 + 0 + 0 + 5 + 2 - 5 - 1 - 4 + 6 + (-1 - 2 + 2)*(1 + 1 - 1) - 4 + 0 + 2 + 2 + 3 - 3).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:33 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**5\/10 - x**4\/6 + x**3 - 76*x. What is the third derivative of n(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4603\/2162 - 50\/47. What is the common denominator of y and -13\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = 21*o - 24*o + 4*b, 0 = -b - 4. Let l be o\/27*2\/((-40)\/(-36)). Is 7 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 3*c**2 - 8*c**2)*(4 - 4 - c + (2 - 2 - 2*c)*(5 - 1 - 3) + 0*c + c - 2*c).\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -843*g**4 + 5931*g**3 + 615078 wrt g.\nAnswer: -3372*g**3 + 17793*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 3. Let w be g(3). Let n = 15 - w. Let l be n\/(-12) - (-34)\/(-60). Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*o - 60, -60 = -8*v + 3*v + 4*o. Let d = 56 - v. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 - 2. Let a(g) = -10*g**3 + 7. Let y(h) = -h**2 + 15*h - 11. Let v be y(12). Suppose v = -3*j - 17. Determine j*o(m) - 4*a(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29639*v**4 + 641*v**3 - 12374*v**2 - 536*v + 2?\nAnswer: 711336*v + 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 m when four letters picked without replacement from {n: 2, m: 17}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 12:13 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 40*o**2 - 151*o - 243. Let u be i(-36). Solve 0 = 2*h - 8, 5*h = -3*z - u + 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**3 - h**3 - 3*h**3 - 3*h**3 + 0*h**3 + 2*h**3 + (-3 + 3 + 2*h**2)*(0*h + 0*h + h) + h**3 + 25*h + 49*h + 7*h.\nAnswer: 6*h**3 + 81*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 4}. What is prob of picking 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-72)\/(-5)*(-10)\/(-4))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2771827 - 1588513. Suppose 2576686 + n = 4*t. What is t rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 21724\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f. Let w = -13 + 17. Solve f = -w*c + 3*c - 2*y + 2, 5*y = -5*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1009 - -1015. Solve 0 = -9*a + v + 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u - 36. Let n = 21 - 29. Let m be x(n). What is the third derivative of 7*i**m - 6*i**2 - 2962*i**3 + 2962*i**3 wrt i?\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h. Let d = 154 + -127. Let n(b) = 33*b + d*b - 90*b + 31*b. Give n(f(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytttyttt. What is prob of picking 2 t?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/7 + 4\/(-14). Suppose 0*p - p + y*g = -4, -2*g - 4 = 2*p. Suppose 2*x + 4*k - 50 = p, -x - 3*k + 25 = 2*k. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 0.18111854.\nAnswer: -0.11888146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/90 in -4, -1\/6, 23?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 1 + 11\/(55\/80)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + t. Let y(r) = -r**3 + 3*r**2 + 5*r - 2. Let i(f) = 4*c(f) + y(f). Calculate the lowest common multiple of 4 and i(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (25 - 43) - (-37 + -4 + 6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 11*l + 20. Calculate u(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/213 + -1 + 1\/(10153\/35711)\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 124*p**2 - 125*p - 126. What is h(61)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 10. Let w = -1 + -8. Let g be ((-6)\/(-15))\/(10\/25). What is the third smallest value in n, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12707 + -12837.284. Let s = p + 130. What is s rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0*s**3 - 1\/16*s**4 + 0*s**2 + 10 - 3\/80*s**5 + s. Let k(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let g(t) = -11*t**2 + 9*t - 9. Let j(z) = -z**2 + z - 1. Suppose 3*s = -s + 8. Let n(h) = s*g(h) - 18*j(h). Calculate n(v(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12970\/330 + -39)*(0 + 54\/15)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*s**3 + 145*s**3 - 270*s**4 - 84*s**3 + (-2*s - 2 + 2)*(2*s**3 - s**2 + s**2).\nAnswer: -274*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 + -227. Let c = 3 - r. Suppose -2*s - 4*b + c = -178, 5*s - b = 669. List the prime factors of s.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 271782? (a) -5 (b) 2 (c) 0.4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 7. Let j(r) = 3*r - 5. Let u(w) = -7*j(w) + 5*v(w). Let k be u(-4). Put -5, k, 1\/2, -0.3 in descending order.\nAnswer: k, 1\/2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818613425 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(r**(-8\/7)\/r))\/r))**28)**(-1\/22) assuming r is positive.\nAnswer: r**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f - 7. Let l(x) = -x**2 - 3*x - 15. Determine 5*a(i) - 2*l(i).\nAnswer: -3*i**2 + i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13231*f - 26451*f + 13226*f.\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 0. Suppose -2*u - 12 = -z. Is u <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 2*o + o + (0*o + o + o)*(2 + 2 - 6) + o - o - 2*o + 1 + o - 1 + (142 - 82 + 74)*(-3*o + 6*o + 0*o).\nAnswer: 403*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*p - 0*u + 2*u, 3*u = -2*p + 89. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2320*d**2 - 2*d - 10. Let m = -78 + 83. Let w be (1 - (-2)\/4*-4)*m. Let s be j(w). What is s rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2309*g**2 - 1415*g - 7. Let p(d) = 1155*d**2 - 714*d - 4. Let u(r) = 7*p(r) - 4*x(r). Find the second derivative of u(k) wrt k.\nAnswer: -2302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 13 - 1. Let z(r) = 20*r**3 + r**2 - 15*r + 3. Is z(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*-4*(-3)\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 6, s: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k = 74*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 2, k: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.6884121 + -1.3115747. Let w = 8 + g. What is w rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -4 - 4 - (-1 + (1 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(3\/(2 + -5)). Let p = c - -10. What is the derivative of -b - p*b + 3 + 3*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 7 = -3*n + 2*j, j = -4*n + 13. Solve 15 = -4*w + n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 3*i + 18. List the prime factors of c(-8).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 1, v: 13}. What is prob of sequence vvp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2632 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14)\/((90\/(-35))\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/60 and -25\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7*d + 2*d + 37, -4*d + 3*p + 29 = 0. Suppose 4 = 2*b - 2*g, b + 3 + 1 = -d*g. Solve -t + 3 = b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29, -74, -83, -2, 223?\n\"Answer: 9*m**3 - 36*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**4 + 4*y**4 - 5*y - 7*y**4 wrt y?\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 44*i + 40.\nAnswer: 4*(i + 1)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 847 and 0.2.\nAnswer: 847.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -44*p**3\/3 + 4196*p**2\/3 + 1004584*p\/3 - 121952 = 0.\nAnswer: -111, 4\/11, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (11 - (30 - 15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -530 greater than or equal to -13781\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -3, 1, 3, 0 in decreasing order.\nAnswer: 3, 1, 0, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1188\/63)\/11*8\/(-12)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36217 - 5?\nAnswer: -36224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2046 and -23\/3.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -62*a + 212. Put -1, a, 3, 9 in ascending order.\nAnswer: -1, 3, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66210.9999971689 + 66211. Round h to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/12)\/5*(-6)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*y + 238, y = 5*p + 26 - 313. Let i(a) = -24 - 33 - a + p. Let r(d) = d - 1. What is -i(z) - 2*r(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 - 4*t - 4. Let x = -1 + 5. Suppose -5 + 21 = x*r. Let s(k) = 2*k - 2. Let m be s(r). Calculate v(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 14993159.7\nAnswer: -14993150.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/3 (b) 1.3 (c) 2\/23 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -997*w**2 + 27917*w\/7 - 4\/7.\nAnswer: -(w - 4)*(6979*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2125*d**4 + 2*d**3 - 19*d**2 + 2064865*d wrt d.\nAnswer: 25500*d**2 + 12*d - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71355 is divided by 71343?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55162457 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1 + 4?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-8 + -3 + (4 - -4) + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*f + 9 = 0, -11 = 5*h + f - 5*f. Let u = 16 - 19. Let o be (-4)\/(-8)*(-2)\/u. Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 17 = -3. Suppose 0 = -5*a - 5*q + 20, 0 = 3*a - o*a + 5*q. Solve 4*t + 8 = n - 0*n, a*n - t + 17 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50222181?\nAnswer: 3, 16740727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -208291, -5, -2, -3, -6, 2 in decreasing order.\nAnswer: 2, -2, -3, -5, -6, -208291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 4\/23 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 32*k - 2. Let s be f(-4). Let g be 1840\/s - (-2)\/13. Let a be 1\/2 - 385\/g. Round a to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-30) - 84\/(-840)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (sqrt(3) + (sqrt(243) + 1)**2 + sqrt(243) - (sqrt(3) + -1 + -1)).\nAnswer: 27*sqrt(3) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-150)\/12 + (-12)\/(-8). Let v = -3 + -12. Let i = z - v. Calculate the smallest common multiple of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 13*b - 18*b + 32, 3*y + 3 = 3*b. Suppose -4*p + 2892 + 1681 = 5*m, b*m = -5*p + 5705. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -242242937*j**3*k**2 - 864*j**2*k**2 + j**2*k - j**2 - 5*j*k**2 + k**2 - 1 wrt j.\nAnswer: -1453457622*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.2 (c) -31 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 48.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-31)*((-2)\/(-4))\/((-11)\/33)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -8*y + 7*y. Let v(o) = -10*o**y + 4*o**2 + 3*o + 0*o**2 + o**3 + 2*o**2. Let h be v(3). Solve 0 = -h*c - 5*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.10996 - 0.14004. Which is the second smallest value? (a) 1\/6 (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/44)\/(70\/(-385))*(-16)\/(-186).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -4*l**5\/5 - 2*l**4 + 212*l**3\/3 - 180*l**2 + 703. Suppose w(t) = 0. What is t?\nAnswer: -9, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*o**4 - 1 + (-o - 3*o + o)*(o**3 - 3*o + 3*o) - 4*o**4 + 2*o**4 + o**4 - 4*o**4 + o**4 + 4*o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (8 - 8) + -14 + 3 + (1 - 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-24)\/18)*6\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*b + 1 = -2, 5*b = 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.720507 centuries?\nAnswer: 0.4720507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25513900 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose j + x = -17. Let u = 54 + j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(9\/2)*q)**(2\/19)\/(q*q*q*q*q**(-2\/123)*q)**(1\/23) assuming q is positive.\nAnswer: q**(30788\/53751)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3257 less than or equal to 22804\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 582, 645, 594, 429, 150, -243, -750?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 6*z - 9. Suppose 3*l - o = 15, 0 = -7*l + 6*l - 4*o + 18. Give b(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let z(m) = 34*m - 14. Let c(d) = 7*d - 3. Suppose -4*k + 10 - 22 = 0. Let b(a) = k*z(a) + 14*c(a). Calculate w(b(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-372)*532\/(-399).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Let s be (-13)\/(-26)*(1 - -1). What is the closest to s in 3\/8, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73\/5 of a meter?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/138992 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -21, 0.3, 13 in descending order.\nAnswer: 13, 0.3, 1\/10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s - 32. Give g(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5042 - 5010. Let t(r) = r**3 + 5*r**2 - 2*r - 6. What is the remainder when a is divided by t(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -345?\nAnswer: -1\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2024624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j = -2*z - 188, -630*j - 1 = -631*j - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/(-6 + 7).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253958 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 5797 + 2789 + 3008.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4\/4 + i**3 - 2*i**2 - 4*i + 6. Give l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 - 140*b + 6. Let n(y) = -3*y**3 - 9*y**2 - 280*y + 10. Let q(s) = -5*f(s) + 3*n(s). Find the second derivative of q(c) wrt c.\nAnswer: -24*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662) - -4*sqrt(2662)*-2)\/(sqrt(10)\/(3*sqrt(30)\/sqrt(6))).\nAnswer: -231*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5 + 1190*q**4 - 19973*q**3 - 1308116*q**2 - 9443580*q + 24260400 = 0?\nAnswer: -15, 2, 46, 1172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*y + 13. Let a(l) = l**2 - 3*l - 2. Let c be a(4). Suppose 4*i = 3*i - c. Is i at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52268 + 85631. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**2*z**3 + 3*n**2 - 156*n*z**4 + 2*z**3 - 127*z**2 wrt z?\nAnswer: 12*n**2 - 3744*n*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 + -166 - (-34 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6571, -26029, -58447, -103825, -162163?\n\"Answer: -6480*s**2 - 18*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - 1830\/(-225))\/((-8)\/(-10)). Let z(a) be the first derivative of -11 - 1\/12*a**6 + 0*a - 3\/10*a**5 + 0*a**2 - v*a**3 - 3\/8*a**4. Factor z(k).\nAnswer: -k**2*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-90)*4*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200119 is divided by 49981.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 9*u + 45. What is f(-14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266077101 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*g**4 - 91*g**3 + 2676*g**2 - 8*g - 395296?\nAnswer: -108*g**2 - 546*g + 5352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150031 is divided by 37503.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m + 3*n - 30 = 0, 4*n = -3*m + 27. Sort m, 5, -3.\nAnswer: -3, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 7:01 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1540 - 1438 = 93*t - 1118 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14746978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 368777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 450650549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 4752 = -2*v + 15*p, -2376 = -v + p. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207ba (base 14) in base 13?\nAnswer: 29894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7836225.83 + 0.6\nAnswer: 7836226.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11996, 12085, 12174, 12263, 12352, 12441?\nAnswer: 12530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -1, -4 in increasing order.\nAnswer: -95, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**4 - 2*q**4 - 10*q**2 + 3*q**4 wrt q?\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0)**17)**27)**(-4\/25) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1580)\/79 + 26 + 1\/(1\/66719)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/9)\/(11\/(-22))*(-195)\/(-52).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 18 + 3*r**3 - 2*r**3 - 4*r as p*r + a*r**2 + o + z*r**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*f**3 + 7 - 4 - 60*f**2 - 24*f**3 + 17*f**2 + 19*f**3 wrt f?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -23*u**5\/12 + 3*u**4 - 12*u**2. What is the second derivative of j(l) wrt l?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057883?\nAnswer: 1057883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 5934*y**3 + 6598098*y**2 - 3258692586*y + 603181174932 = 0. Calculate y.\nAnswer: 723, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 81. Suppose 58 + 241 = g*h. What is the highest common factor of 299 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d - d)*(3 - 3 + 1)*(2 + 1 - 1).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 10742*c + 16 = 10745*c, 0 = -4*x - c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 4. Calculate the least common multiple of (1\/6)\/(1\/30) and y(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 10 = -2*b. Let w be 30 + -8 + 3\/(-1). Let v = 19 - w. Solve 0 = -b*u - v*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 4*f + 3*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 7. Let t(n) = n**2 - 11*n - 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: Simplify (g*g**(3\/16)*(g\/(g*(g\/g**(-3\/4))\/g))\/g)\/(g*g**16*(g\/g**15)\/g*g*g) assuming g is positive.\nAnswer: g**(-73\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {c: 8, g: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, 2\/41, 2\/11, -0.03?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -46. Let h(j) = -j + 3. Determine h(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*2 + sqrt(156))\/(sqrt(108)\/sqrt(81)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/5)*p**(-2\/5)\/p*p**(-8)*p\/p**(2\/7))**28 assuming p is positive.\nAnswer: p**(-1104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 3 - 2*i**2 + 4*i**2 + (-2*i - i + 4*i)*(-575*i - 43*i - 568*i) + 2*i**2 + 2 - 2.\nAnswer: -1183*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*f + 5593 = -6229, 3*h + 5*f = 7078. What are the prime factors of h?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-58)*(-68)\/(9520\/84)?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15339246, 30678514, 46017782, 61357050, 76696318, 92035586?\nAnswer: 107374854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-9)))\/x**(5\/2))\/(x\/(x\/(((x\/(x\/x**9))\/x)\/x))*x)**(2\/33) assuming x is positive.\nAnswer: x**(-791\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -29, 2\/15, 0.1, 0 in increasing order.\nAnswer: -29, -28, 0, 0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 459790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143929842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 681149468 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*t - 112 = -138*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -376 - -380. Let r = -22.1 + 22.1. Which is the closest to r? (a) 0.6 (b) -1\/5 (c) -3\/2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 129 + 87. Let h be i\/54 + 10\/12. Which is the fourth smallest value? (a) -0.5 (b) h (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 3*s**2 + 8*s + 3. Calculate g(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -90. Let m = 1 - 0. What is the closest to -0.1 in l, m, 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 7. Let h be (1\/2)\/((-1)\/10). What is the units digit of w(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 13*h**2 - 13*h + 49. Calculate b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 0*b - b)*(4 + 3*b**2 - 4)*(-13*b - 26*b - 156*b) as v*b**3 + c*b**2 + w + s*b**4 + x*b and give s.\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 3*l. Let r(x) = -15*x**2 - 16*x. Suppose 0 = 22*v - 32*v - 40. Give v*r(d) + 22*j(d).\nAnswer: -6*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {q: 11, w: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.83 + -71.83. Which is the third smallest value? (a) 2 (b) -9 (c) 1\/6 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -923528*l**5 + 66*l**4 - 307*l - 189448 wrt l.\nAnswer: -18470560*l**3 + 792*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 + 0*u**2 - u**3 - 77*u - 7\/15*u**4 + 1\/50*u**5. Factor t(d).\nAnswer: 2*d*(d - 15)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a + 40*a - 12*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*((sqrt(343) - (sqrt(343) + 0))*-1*3 + 4 + 5*(-2 + sqrt(343)) + sqrt(343) + sqrt(343) + sqrt(343)))**2.\nAnswer: -43008*sqrt(7) + 1407232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205095 and 1210?\nAnswer: 410190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720220 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a + 176*a = -14*a + 3276 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f**(-10)))*f*f*f\/(f*f**(-10)))**(-2\/5)*(f**3*f**(2\/5))\/(f**(-1))**25 assuming f is positive.\nAnswer: f**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -23. Suppose -4*i + l + 53 = 0, i = g*l + 34 - 2. What is the remainder when 33 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/(s\/s**(-5)))\/(s**6*s*s*s**(-9)\/s))\/((s*s*s*s**(1\/5)*s*s)\/s*s\/s**(-12)*s)**(14\/5) assuming s is positive.\nAnswer: s**(-1424\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z + 6 = 22*z. Let g = z + 5. What is the third derivative of 3*f**5 - 171*f**g + 171*f**3 + 6*f**2 wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/6*200226\/9815.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 = -2*g - 1, 3*g + 4*f = -10. Suppose -5 = -i - 3. Solve o + 0*w = -3*w, -4 = -g*o - i*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 2. Let c be j(-1). Let l = -4 - -4.2. Put -4\/7, l, c in increasing order.\nAnswer: -4\/7, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 2346*l - 2346*l - 12 - 6.\nAnswer: l**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 241246347 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/27)*o**8)\/(o**(-3)\/(o**(-4\/7)*o)))**(2\/55) assuming o is positive.\nAnswer: o**(4348\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 13*d - 7*q + 6*q + 10 = -52, 3*d - 43*q - 238 = 0 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 3*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)*y**(-5))\/(y**(-4)*y*y**(1\/2)) assuming y is positive.\nAnswer: y**(-59\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68933\/2 + 34466. Which is the nearest to -39\/49? (a) n (b) 2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -11*a**2. Let j(i) be the third derivative of 0 + 1\/12*i**4 - 10*i**2 + 0*i + 0*i**3. Give j(v(l)).\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 17 = 2. Let r(q) = q + 8. Let s be r(-6). Find the second derivative of -g*m + 5*m**4 + 73*m**2 - 73*m**s wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 11057*s + 133127. Calculate g(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/234 - 36\/(-24)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 171892.1.\nAnswer: 103135.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**5 + 204*t**4 + 4044*t**3 + 38740*t**2 + 178464*t + 316368 = 0.\nAnswer: -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.89176cm to meters.\nAnswer: 0.0289176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21512000 rounded to the nearest 100000?\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 8*f**2 + 13*f - 73. Let b be u(-10). Let o(c) = -24*c + 5. Give o(b).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 - (-34)\/(-6). Let y be b*2\/(6\/(-1)). Suppose -2*i - 3*p + 4 + 50 = 0, -3*i = y*p - 71. What is the remainder when 41 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 233 = r, 0 = -6*r + 4*r + 3*p + 441. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*a - 3414 = -9432 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 18*j - 2*j**4 - 4*j**3 - 6*j + 36*j - 6*j in the form p*j**3 + x*j**4 + g + c*j + t*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(3 - (-10)\/(-4)). Suppose d = -2*b + 4 + 6. Let f(l) = 3*l + 3. Let o be f(-2). What is the second biggest value in b, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 241964.31 nanoseconds?\nAnswer: 0.0000040327385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -925*a**2 + 1832. Let p(z) = 3*z**2. Calculate j(p(c)).\nAnswer: -5550*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 18278.\nAnswer: 18278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.9 + 2.9. Let g = 18.8 - 0.8. Let m = r + g. What is the closest to 0.1 in 1\/7, m, -2\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Let n(h) = h**3 - 1893*h**2 + 26 - 13*h - 1887*h**2 + 3776*h**2. Let j be n(g). Solve -i + l + 7 = 1, -j = -3*i + 4*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603261 divided by -1?\nAnswer: 2603261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11679 and -2?\nAnswer: 23358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2378 divided by 4\nAnswer: 1189\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(38) + 1*sqrt(38)))\/sqrt(2))**2 - ((sqrt(171) + sqrt(171)*-1)*-1)\/sqrt(9).\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (855\/38*34\/(-170))\/(-1 - 5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.88 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -41*b + 43*b - 3654, 2*w = 3*b - 5473. What is the highest common divisor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -155, -349, -621, -971?\n\"Answer: -39*h**2 + h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 10:07 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 4 + (-24 - -33)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 34*h**2 - 140*h - 61. Let v be o(29). What is the greatest common factor of 60 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01491 + 2.76545\nAnswer: 2.78036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 107167.\nAnswer: 107167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 4*g**2 + 6*g + 3. Let i be f(-5). Let t be 44\/(-3)*(-582)\/120. Let n = -71 + t. Which is the third smallest value? (a) n (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(125)*-2)**2 + (sqrt(405) + sqrt(405) + 1 + sqrt(405))**2) - ((1 + sqrt(5) + 5 + (sqrt(320)*-2 - sqrt(320)))**2 + 1).\nAnswer: 330*sqrt(5) + 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454824736?\nAnswer: 2, 103, 193, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-2))\/(1040\/(-40)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1136 = -j. Suppose 3*o - 5*n - j = 0, -6*n = -5*o - 3*n + 952. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -14*t + 56. Let v(s) = s**3 - s**2 - 15*s - 14. Let q be v(-2). Give k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-1))\/(14\/2702).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -2, 0 = r - 3*v + 11. What is the hundreds digit of (-4 + 1119)*(r\/20 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*y - 119*y - 30 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1946149, -1946147, -1946145, -1946143, -1946141, -1946139?\n\"Answer: 2*y - 1946151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:37 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -8*l**4 - 38*l**3 - 54*l**2 - 16*l + 8 = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 4\/(-7)) + (-152028)\/(-21).\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115330 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 285155.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -83*r**2\/2 + 28. Let b(j) = -j. Determine y(b(o)).\nAnswer: 83*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 3*m + 13. Let n(o) = -8*o**2 + 17*o - 22. Let l(t) = -3*t**2 + 7*t - 10. Let k(p) = -5*l(p) + 2*n(p). Calculate -4*d(b) + 9*k(b).\nAnswer: -b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32186 divided by -22?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/((-994)\/(-462) + -2).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlf when three letters picked without replacement from olmqommolmqgmofo.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**3 + 7*x**2 + 74*x - 3. Let g(u) = 2*u**3 + u**2 + u. Determine 14*g(o) - 2*p(o).\nAnswer: -2*o**3 - 134*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(-119) + (-640)\/14. Suppose 36*s - 110 = 38*s. Let o = v - s. Is o at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 328871813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:46 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 0 + 20 = -2*q, 0 = 3*z + 2*q + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 13*b**2 + 13*b + 14. Let r be n(-12). Solve 0 = t - a, t + r*a + a = -16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289165360 a multiple of 7653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 17*b + 11. Calculate the smallest common multiple of n(-17) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -225. Let l be (-4)\/7*13981\/(-44). Let k = l - i. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 1. Let m(h) = 3*h**2 + 21*h + 13. Let c = -19 - -41. Let g(r) = c*p(r) + 2*m(r). Let d be g(-9). Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + g = 11, g + 2*g = -y. Solve 9 = 2*o + k, -y*o = -0*k + 4*k - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*i - 574 + 64 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23824845*h**4 + 3*h**2 - 4875*h - 2487 wrt h?\nAnswer: 571796280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 = -5*v + 4*w, -4*v + 526 = -9*w + 7*w. Calculate the smallest common multiple of v and 3.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 43 = -109. Calculate the highest common factor of s and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 64, 41?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktv when three letters picked without replacement from {t: 9, v: 1, k: 2, w: 1, x: 7}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 34*l**2 - 8*l. Let d be n(0). Solve d = 4*b - 45 + 9 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -6\/7, 17, 0.5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 4600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k**(-5)*k)\/k*k))\/((k\/k**(1\/3)*k)\/k*k))\/(k**0)**(7\/2))**(-2\/139) assuming k is positive.\nAnswer: k**(-14\/417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 6, f: 1, u: 3, x: 1}. Give prob of picking 1 f, 1 x, and 1 u.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3794 times -0.075\nAnswer: -284.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 18*a - 6 = 0. Suppose -4*q = 8, -4 + 38 = 4*x + a*q. What is the highest common factor of 20 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1884964 = -25*v + 29*v, 16*v = 2*t - 942482. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**4\/16 + 9*b**3\/4 - 21*b**2 - 49*b + 27. Determine y, given that a(y) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42577 is divided by 2027?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 8. Let x(v) = 44*v - 28. Let d(r) = -8*r + 5. Let p be (224\/(-96))\/((-4)\/(-48)). What is g*x(y) + p*d(y)?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from jszqzqjsjsqszj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 709951767 and 1356?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 9152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18951550?\nAnswer: 2, 5, 19, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 365969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*d + 3*d + 71, -5*i = -3*d - 289. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 12*f**2 + 2*f - 15. Let a be o(12). Suppose -4 = 7*t - a*t. Suppose 5*l = -2*k + 2*l + 44, -t*k + 4*l = -16. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6991*u + 4499*u + 402*u - 11652*u - 10298*u to a*u + d and give a.\nAnswer: -24040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -1 - 103. Let r = 17 + t. Let s(d) = 16*d + 12. Let f be s(-3). Is f at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*u = 3*i + 114, 34 = -i - 5*u. Let v = 21 + i. Let r(s) = s**3 + 5*s**2 - 4*s - 3. What is the units digit of r(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 13 = 77*y + 30 + 16, 0 = -2*l + 2*y - 20 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 8*p = -44. Let w(k) = 6*k - 3. What is the remainder when w(4) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123480?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58671.\nAnswer: 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2669644 is divided by 1820?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 11 + 2*d**4 + 26*d + 10 + (-2 + 1 + 2)*(0*d**4 - 3*d**4 + 2*d**4).\nAnswer: d**4 + 26*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.01, 1, 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 139*o**2 - 538*o - 32. Give q(135).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12056, -15537, -19018, -22499?\n\"Answer: -3481*u - 8575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 206?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(56\/(-6) + 3). Let v = -17 - y. Suppose 2*r = -v*r. Solve r = 2*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 z, and 1 h when four letters picked without replacement from czhwwhzwtzwhcthwz.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -32 - (4 - (1 + -1)). Let j = -356 + 645\/2. Let f = c - j. Is -1\/2 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = -3*t, 3*b + 5*t = -214. Let j = -145 - b. Let h = -74 - j. Which is bigger: -16\/15 or h?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0. Suppose 3*v + 5*q = -11, 0*v = v - 2*q. Let b be v\/(-1)*(-3)\/(-2). Sort -2\/7, b, z.\nAnswer: -2\/7, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14374.9 litres?\nAnswer: 14374900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 132 = -8*o. Let d = o - -24. Solve -2*t + 3*j - 1 = -t, 0 = -d*t - 5*j - 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121855*r**2*w - r*w - 75*r + w - 115 wrt r?\nAnswer: 243710*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - g + 55, 2*w = 3*g + 21 + 12. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + 11. Suppose 0 = u + 14 - x. Suppose -4*r = -4*k + 48, 4*k + 2*r - u = 3*r. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 22*b - 503. Determine l(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 - 2*x - 4. Let k be 6 + 3\/(-1 - 0). Give h(k).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (111\/(-12))\/(-2 - 2222\/(-1112)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -5\/48*k**4 + 0*k**2 - 7\/80*k**5 + 1\/12*k**3 + k + 1. Let g(y) be the first derivative of i(y). Let g(s) = 0. What is s?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476072 is divided by 440?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 94682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:32 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -184\/49 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21543 is divided by 3563?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10000001001?\nAnswer: 10000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -102101110 (base 6) to base 3\nAnswer: -10100111000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-40))\/(1\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745701, 1745705, 1745711, 1745719, 1745729, 1745741, 1745755?\nAnswer: 1745771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-8 - (-58 - 4 - (-3 - 5)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**5 + 5*g**5 - 2*g**5)*(-4 + 0 + 2)*(-3 + 2 - 1) - 4*g**2 + 4*g**2 - g**5.\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29155 + 54655. Suppose -16*v = -13*v - u. Round v to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -66. Suppose -3*f = -5*a + 51, g*a + 2*f + 6 = a. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150663, -301324, -451985?\nAnswer: -602646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**2 - 2*t - 1. Let k be w(-1). Solve l = 4*u - 0*u - k, -2 = -l - u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 86 = 390. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*a + 10. Let n be 412 + (a - -1) + 0. Suppose 4*i = -i + n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-15)*a**6 assuming a is positive.\nAnswer: a**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/11)\/(n**16*n*n)*(n\/(n\/n**(-1\/15)))\/(n*n**22) assuming n is positive.\nAnswer: n**(-6761\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1\/(-2)*2. Let l be (-8)\/20*10\/(-4). Find the second derivative of l - y**n + 2*y + 0*y - 1 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*q**2 + 4*q**2 - 2449*q + 2420*q)*(q - 5*q + 2*q) in the form p*q**3 + t + l*q + j*q**2 and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 207704 divided by 28\nAnswer: 7418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -214 (b) 34 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 657\/5 or 132?\nAnswer: 657\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -565, -923, -1323, -1759, -2225, -2715?\nAnswer: -3223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 7. Suppose -5*r = -2*r + 15. Let l be b(r). Factor -k - 2*k**2 + 7*k**5 + k + l*k**4 + 3*k**3.\nAnswer: k**2*(k + 1)**2*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - -452431384780.\nAnswer: 452431384779.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)*s*s**(2\/33)*s**7\/(s**(2\/3)*s) assuming s is positive.\nAnswer: s**(1088\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 21 = -11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (160690\/(-30))\/((-80)\/96 + 2\/4) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29644 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, f: 5}. Give prob of picking 3 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8939315 and 10780.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476553 + 65730 = -9*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 35. Let a = 96 - 92. Find the second derivative of -2*n + 4*n**a - 3*n**4 - b*n wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 40*c**3 + 40*c**2 - 480*c - 720.\nAnswer: -5*(c - 6)**2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 178\/9 (b) -0.4 (c) 0 (d) 0.09 (e) -118 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25984622?\nAnswer: 2, 983, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-16)\/(g**(2\/35)*g))\/(g**(-17)*g**14))**(8\/13) assuming g is positive.\nAnswer: g**(-3936\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*m + 3 + (2 - 3 - 1)*(m - 3*m + 0*m) - m - 3*m + 5*m - 2*m + 3*m + 0*m + 3*m + 19 - 19.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z - 70. Let m be s(15). Let r be (1 - 2\/5)\/((-47)\/m). Sort 21, 2, r in descending order.\nAnswer: 21, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10988225?\nAnswer: 5, 53, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2733 + 1304. Let y = h + 1428.9998783. What is y rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Let p be 4 + -6 + 10 + d. Let q be (-2)\/p + (-275)\/(-15). Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 6. Let d(i) = i + 12. Let b be d(-14). What is the third biggest value in s, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36291 + -216943\/6. Let q be 1459*2\/24 - -3. Let s = q - v. What is the common denominator of 44\/7 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290 (base 16) to base 9\nAnswer: -808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.13 - 0.43. What is o rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:47 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, -410, -618?\n\"Answer: -208*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**18*(z\/z**(6\/11))\/z assuming z is positive.\nAnswer: z**(-193\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 10*j - 12. Let x(u) = -2*u**2 - 11*u - 20. Let r be x(-9). Let n = 413\/5 + r. Which is the nearest to -2\/3? (a) j (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + g + 4*a + 8, -8 = 4*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94\/1087 + 111697\/550022. Let v = f + 3\/46. Which is the second biggest value? (a) -3 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280480?\nAnswer: 2, 5, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1968423\/56 - -35152. Let h = n - 15\/8. Which is the nearest to -0.2? (a) h (b) -0.13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4027000 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 2\/13*n**3 + 27000\/13 - 90\/13*n**2.\nAnswer: -2*(n - 15)*(n + 30)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 5*n. Suppose 4*c + c - 2*y + 10 = 0, -2*c - 3*y + 15 = 0. Suppose 5*m - m = p + 13, 2*m + 2*p - 14 = c. What is the units digit of o(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3 + -1 + (-3)\/(-1)). Let j be (-837)\/(-27)*(2\/2 - y). Is 20 a factor of j + 0\/4 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(50\/(-3))\/(-5). List the prime factors of x\/(-6)*(6 - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2. Let h(p) = -107*p**2 - 1. Determine g(h(z)).\nAnswer: 68694*z**4 + 1284*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -4\/11 (c) 1\/3 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1266 + 1269. Solve -4*f - 16 = -g - a, -f - 10 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d**2 + d + 4. Suppose y = -6 + 9. Let z be x(y). Which is the closest to 0.1? (a) 4 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322 (base 4) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 0.2 (b) -2\/21 (c) 1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 461 + -464. Let p(y) = -5*y. Suppose 0 = -0*b + 2*b - 8. Let d(t) be the first derivative of -3*t**2 + 2. Calculate b*p(g) + u*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 855582, 1711164, 2566746?\nAnswer: 3422328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 = 23*s + 335 - 1076 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55.9 - -60. Let a = g - 3.1. Let n = 0.99993 - a. Round n to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010243 (base 8) to base 13.\nAnswer: 94347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 + b**2 - 2 - 26*b**3 - 6*b - 16*b**3 + 40*b**3 as o*b**2 + s*b + h + j*b**4 + c*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (35 - 160)) + (-14 - (-2 - -6)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o**14*o)\/o)\/o**14 assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 36 = 3*d + 42, 4*d = -5*q - 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 596356.1 minutes?\nAnswer: 35781366000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -22 (b) 11 (c) 60 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89 - 146 + 67 - 36*g)*(g**2 + g + 0*g - 3*g) to the form w*g**2 + k*g**3 + i + n*g and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-15)\/(-12)*(-2920)\/(-25). Suppose d = 2*a - 4*i, 11*a - 13*a + 2*i + 286 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (48\/40)\/(4\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -112, -125, -146, -175, -212, -257?\n\"Answer: -4*v**2 - v - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Let v(z) = -435*z**2. Determine v(m(n)).\nAnswer: -1740*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u - 10. Let d be u\/(-7) + 1250\/35. Suppose -5*p + d = -49. Solve 2*g + p - 3 = -4*v, -2*v - 3 = 5*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23914.5 and -5.\nAnswer: -23919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4, -84, -12.22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 46484974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3464208683 + -0.234\nAnswer: 3464208682.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -7*r**2\/6 + 101*r\/3 - 65\/2 = 0.\nAnswer: 1, 195\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6 = c, 4*v + 14 = 3*c + 3*v. Suppose -g + c = -i, -5*g + 4*i + 3 + 18 = 0. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011111110100100101 (base 2) in base 16?\nAnswer: 19fd25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.4.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164693 to the power of 1\/2, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -92.000000459. What is t rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4 - 0. Let b be ((-45)\/2)\/(d\/(-2)). Let n be -1 + 1*3*2. What is the highest common divisor of b and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.06. Let i = -216.9813 + 217. Let f = q - i. What is f rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-617*k - 907*k + 1078*k).\nAnswer: 1338*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y + 2. Let m(z) = 10*z - 7. Determine 2*m(h) + 7*u(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/73, 1\/3, 1\/4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxc when three letters picked without replacement from {x: 3, y: 3, o: 2, c: 11}?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o - 80. Suppose -4*v - v + 45 = 5*m, o = 4*m. Suppose -v*r = -7*r + 90. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303151460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063826148 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w + 0*w - 3*w + (-2*w + 3 - 3)*(-623 + 534 - 1115) to n + q*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 + 6*u - 1. Suppose 12 = 103*r - 107*r. Let y be m(r). Suppose -y*j = 3*j - 88. What is the highest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 5 - 13. Let h be -1*((-14)\/42)\/(c\/(-12)). Solve 0 = h*x - 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -78*r**3 - 4*r**2 - 4*r + 55. Let t(p) = -78*p**3 - 3*p**2 - 3*p + 56. Let n(k) = 3*a(k) - 4*t(k). Differentiate n(h) with respect to h.\nAnswer: 234*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 2:04 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 3, 0.3, -5, 0.2.\nAnswer: -5, 0.06, 0.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10095, 19929, 29503, 38817?\n\"Answer: -130*t**2 + 10224*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17317 by -37.\nAnswer: 17317\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x - 2*x)*(-18*x**2 + 5*x**2 + x + 11*x**3 + 15*x**2).\nAnswer: 22*x**4 + 4*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 7*d**2 - d + 10. Let b be l(7). Calculate the remainder when 129 is divided by (-11)\/b*24\/32*-12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15 = -30. Let t = g + 44. Is t <= 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 9939335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -6?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*o + 18 = 0, 5*o - 2*o = -9. Is 3\/(-6)*(-473 + d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 4:20 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 47*i - 45*i = 5129, 4*p + 5*i - 6827 = 0. What are the prime factors of p?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 7c199?\nAnswer: -7c18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.5. Let c = o + -8. Let h = 7.978 + c. What is h rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*s**2 + 2 - 2*s**2)*(s**2 - 2 + 2).\nAnswer: 3*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97586229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64.63 - -65. What is g rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5333*o**2*w**3 - 22*o**2*w**2 - o**2*w - o*w**3 + 2148*o*w**2 - 11*w**4 + 2*w**2 wrt w?\nAnswer: -31998*o**2 - 6*o - 264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 11:51 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + n - f - 33 = 0, 4522*n = 4523*n + 3*f + 19 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1156 + 9325\/8. Find the common denominator of -5\/12 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.28 times 0.15935\nAnswer: -0.203968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/220 and -101\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*a - 4*a. Suppose 21*z + 14 = 23*z. Calculate the remainder when a is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 + 4.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*o - 14 = 0, 0*n + 3*n = 2*o + 4. Let r = -11.5 + 11. What is the closest to 2\/5 in n, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308208 is divided by 307549?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moom when four letters picked without replacement from {y: 2, m: 3, o: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/20593440 and 113\/5184.\nAnswer: 41186880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19576066 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11270)\/4508*124\/(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 1\/240*t**5 + 1\/4*t**3 - 19*t**2 + 0 + 0*t + 5\/96*t**4. Determine p, given that s(p) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -19*g - 86. Let q be s(-4). What is the units digit of (-1502)\/q - 7\/140*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29116 - 7823. Calculate the highest common factor of r and 398.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-634)\/520*(-2)\/(-4). Let s = -1\/104 - h. Which is the third smallest value? (a) s (b) -0.03 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10425408.4439689 + 10425409. Let k = -0.556 + b. Round k to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6969 is divided by 4\/6 - 19415\/(-1059)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1758415.\nAnswer: 175841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 63*n**2 - 79*n - 70. Is b(75) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -10, 2*b = 3*l - 3 - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 31044520.\nAnswer: 3\/31044520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y. Suppose y = -h + 2. Calculate the greatest common divisor of h and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6228*f**3*g**3 + 3*f**3*g**2 + 703669*f**3 - 114*f**2*g**3 wrt g?\nAnswer: 37368*f**3 - 684*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2718412*g**2*z**3 - 2*g*z**3 + 319107*z**3 wrt g?\nAnswer: 5436824*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15424+8\nAnswer: 15432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282*a - 351*a - 17*a)*(3*a**2 + 2*a + 0*a**2 - 2*a**2) - 2 + 3*a + 2 - 2*a**3.\nAnswer: -652*a**3 - 1300*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from vdde?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -23. Suppose -2*c - 15 = -0*c - 5*x, 0 = -5*c + d*x - 15. Solve 0 = -4*r - c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllll. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 306976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**3 - 2*i**2 + 2*i - 4. Let u(x) = 12*x**3 - x**2 + 2*x - 3. Calculate 3*r(w) - 4*u(w).\nAnswer: -15*w**3 - 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2035, -1311, -113, 1553, 3681, 6265?\nAnswer: 9299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 5*m + 25*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 29. Solve j = -2*q - 1 - 1, -4*q = -2*k - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 2*r**2 - 7*r - 5. Let m(t) = -22*t + 3 + 5*t**3 - 5*t**2 - 19 - 2*t**3. Let x(c) = 2*m(c) - 7*w(c). Determine x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -55 - 97. Suppose 32 = 2*o - 5*h, -h - h - c = -5*o. Suppose 4*w - o = -2. Solve y - w = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*i + 10*k - 12*k, 23*k = -3*i - 77 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 4*z + 3. Let x be w(-2). Let n = 127 + -260. Calculate the remainder when 72 is divided by (n\/21)\/(x\/3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flf when three letters picked without replacement from fqlwlhf.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56470 is divided by 56394?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 105*v**3 + v**2 + 13*v - 13. Let q(r) = 4*r**3 - 3*r + 3. Let k(a) = i(a) + 4*q(a). Calculate k(1).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1539785575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 595, 1190, 1785?\n\"Answer: 595*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8910.327nm in centimeters?\nAnswer: 0.0008910327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233473587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -648271.62?\nAnswer: -648271.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193160.25 microseconds to hours.\nAnswer: 0.000053655625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 377458128?\nAnswer: 754916256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:31 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-158)\/9) + 36\/81. Solve 34*c - 39*c = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-54)*4*168. Let l = 38 - m. Is l at least as big as -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**2 + 24*r - 66. Let n(b) = -11*b**2 + 24*b - 81. Determine 6*i(f) - 5*n(f).\nAnswer: -5*f**2 + 24*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 24, -64, -190, -366, -604?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 + 98 = -75*k + 120*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*w - 4, 0*w - b = -w - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-80)\/14)*(-24)\/42?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 20, -0.037, 6?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 3 + 2 + 24. Which is smaller: l or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 5. Suppose 5*o = -0*o - 15*p + 16*p, -10*o + 10 = -3*p. Let i(j) = -3*j + 4*j + 0 - 1. What is o*i(x) + t(x)?\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1169462 divided by 167066.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 + 1214220*q = 0.\nAnswer: 0, 242844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -2, -0.5, 5, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 19179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3165 divide 5108521325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(143)*-6)\/(sqrt(66)\/(sqrt(24)\/sqrt(4))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/3)\/y*y*y\/y**(-5)*(y**(3\/5)\/y)**(-1\/78) assuming y is positive.\nAnswer: y**(911\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (19\/2 + 2 - -1)*76. Suppose -d = -7*p + 1654. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45709 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037203?\nAnswer: 3, 13, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100002022 (base 3) to base 15.\nAnswer: -d95e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 89 + 68?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333190 is divided by 4327.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 6*u - 2. Let y be d(6). Let k be (y - 100\/(-15)) + (-8)\/(-6). Calculate the common denominator of -1 + 6\/3 - k\/(-72) and 81\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1203505804549 - -53\nAnswer: 1203505804602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7494 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40348212?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7) + sqrt(567)*-2.\nAnswer: -17*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4411*x - 7805*x + 3398*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 2.66.\nAnswer: -7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1782 by 5.\nAnswer: -1782\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 12*j + 26. Is l(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208\/(-14) + ((-176)\/(814\/(-37)) - -6)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 95. Let w be -1 - (6\/(-4) - -1). Put w, -3, 1\/5, k in increasing order.\nAnswer: -3, k, w, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, i: 2}. What is prob of sequence wwww?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12568.23 + -11986.2. Let j = z - 642.5. Let d = -0.23 + j. Round d to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 268*h**2 + 71824*h + 19248832\/3.\nAnswer: (h + 268)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -610?\nAnswer: -4270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6412136.\nAnswer: 2, 801517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6107 or 6108?\nAnswer: 6108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -5 (c) 16 (d) 27\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 - 135. Let b = p - -468. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3283 = -2*l, -2*v - 3282 = -19*l + 17*l. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = o - 10. Suppose v - o + 5 = 3*f, v - 4*f - 21 = 0. Calculate the greatest common factor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 78 (b) -8.1 (c) -878\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + 6*-2*(((sqrt(363) + sqrt(363)*2)*4 - (-2 + sqrt(363))*2) + -1))**2.\nAnswer: 100320*sqrt(3) + 5228644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/13 + 486\/117. Factor -3 - 22*m**3 - 18*m + 10*m**2 + 6*m**j + 5 + 2 + 20*m**2.\nAnswer: 2*(m - 1)**3*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3610822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274 - -246. Let i(g) = 2*g + 59. Let s be i(y). Let m(a) = a**3 - 4*a + 3. Let d(w) = w. Suppose 2 = 2*l - 0*l. Determine l*m(h) + s*d(h).\nAnswer: h**3 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + 0*q - 11*q**3 + 9*q - 2 + 36*q**2 - 2*q**2 + 9*q**3 as r + v*q**3 + p*q**2 + j*q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*3 + 1 + sqrt(162).\nAnswer: 1 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000133345 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1258203 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 5*f - 6*f)*(2 - 1 - 2)*(18 - 18 + 6*f**4).\nAnswer: 72*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -90, 349, 788, 1227?\n\"Answer: 439*r - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 7 - (3 + (-9)\/12). Let p = 464.97 + -467. Let j = p + 2. Sort o, j, -1\/5 in decreasing order.\nAnswer: o, j, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -76436434824.\nAnswer: -76436434823.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -0.68859721?\nAnswer: -0.28859721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*d + 24 = 0, -5*r + 2*d = -2*r - 24. Solve -3*k + 15 = c, 2*k - r*c + 2*c = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513.3447063 take away 14?\nAnswer: 2499.3447063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**3 - 7*r**2 + 15*r - 11. Let l(b) = -6*b**3 + 4*b**2 - 7*b + 6. Give 4*h(g) + 7*l(g).\nAnswer: 2*g**3 + 11*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g. Suppose 4*z - 8 = g, -r = -2*r + 5*z - 11. Let w = 80\/3 - 394\/15. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.36022 + -12.81. Let n = w + 0.45. What is n rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) -0.044 (c) -0.1 (d) -4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 28. Let w be r(-16). Let s be w\/8*48340\/15. Is (-4)\/(-20) + s\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 176657.6 centuries?\nAnswer: 1766576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -253 + -212. Let w be 62\/t*(-10)\/6. Solve -w*i - 2\/9*i**4 - 2\/3*i**2 - 2\/3*i**3 + 0 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*n = 68930, 51687 = 5*h - 2*h - 3*n. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1719 - -51571\/30. Let y(b) be the third derivative of 1\/12*b**4 + b**2 - 1\/12*b**3 + 0*b + 0 - k*b**5. Suppose y(w) = 0. What is w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 = -2. Let n = 4 + l. Let g(x) be the third derivative of -x**4\/12 - 2*x**3\/3 - x**2. Let b(v) = -v - 3. Calculate n*g(m) - 4*b(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98395937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*f + 7, 11*f - 14 = 2*o + 12*f. Let v(b) = -b. Let u(q) be the first derivative of -3*q**2\/2 + q + 177. Give o*v(p) + 2*u(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8580000.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-229*b**2 - 6 - b + 112*b**2 + 114*b**2)*(5 + 10 - 3) in the form z*b**2 + c + x*b and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 505 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*f**2 + 66*f**2 - 18*f**2)*(0 + 0 - 3*f**2)*(33*f + 11*f - 8*f).\nAnswer: -2160*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 782598, 782598, 782596, 782592?\nAnswer: 782586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333155 is divided by 88.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 33 = -2*k. Let j = k - -16. Suppose -10*w - 5 = -5*w. Sort w, -3, j in descending order.\nAnswer: j, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 6:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27947 or 0.373?\nAnswer: 0.373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 1\/9*f**3 - 35 - 7\/3*f - f**2. Find g such that s(g) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 16*j**3\/3 + 45*j**2 - 59. What is the second derivative of m(z) wrt z?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*k - 5565 = 1977 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/98774 or 0.1?\nAnswer: -1\/98774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*x - 652*x - 21 = 3*w, -x = -2*w - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*((d*d**(5\/4))\/d)\/d*d\/(d*(d*(d\/(d\/(d*((d*d**9\/d*d)\/d)\/d*d)))\/d)\/d) assuming d is positive.\nAnswer: d**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 33*z**4 + 225*z**3 + 354*z**2 - 72*z = 0.\nAnswer: -4, -3, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 10*k - 5. What are the prime factors of w(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_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: (1192\/(-36) - -12 - -11) + 10\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:44 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 17 - 101 = 0. Let u be 3165\/t + 12\/42. Suppose 2*p + 2*g = 60, 9*p - 4*p + 4*g = u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68 + 0 + (-2 - -2). Let w = -46 + d. What is the highest common divisor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67? (a) -2\/9 (b) -1 (c) 2\/9 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 74*n + 3. Let q be u(4). Let k(t) = 21*t + 989. Let c be k(-46). Calculate the greatest common factor of c and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 168644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 37108705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*y = 1402, 7*y = 2*y + 10. Let n = -149 - h. List the prime factors of -2 - ((-12)\/(-18) - n\/3).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 450*n**4 - 105*n**3 - 52*n**2 - n. Let h(z) = 900*z**4 - 210*z**3 - 104*z**2 - 3*z. Let l(f) = 5*c(f) - 3*h(f). Factor l(b).\nAnswer: -b*(2*b - 1)*(15*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-8))\/((l**(-12)\/l)\/l))\/(l**(-4\/5))**14)**(-15) assuming l is positive.\nAnswer: l**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.0982 + -2.2282. Put o, 9.4, -0.2 in ascending order.\nAnswer: -0.2, o, 9.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 12*i**5\/5 + 28*i**3\/3 - 20. What is the third derivative of l(v) wrt v?\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/60 + s**4\/4 + 4*s**3\/3 + 8*s**2\/3 - 50*s. Factor d(t).\nAnswer: (t + 1)*(t + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5*i - 134647 = 4*f, -i - 5 = 0. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093250471 times -0.2?\nAnswer: 0.0186500942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -6*m + 3\/5*m**5 - 7 - 5\/2*m**2 + 13\/4*m**4 + 11\/3*m**3. Factor w(a).\nAnswer: (a + 1)**2*(a + 3)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8624*s + 280 = 4298*s + 4286*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/3 in 2\/39, -0.1, -0.07?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*r - 32. Suppose r*q = -g - 8, g + 0*q + 5*q + 11 = 0. Solve -8 = -g*c, -2*b + 3*c = -b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-12)\/(-16) - 55\/(-20). Let r(o) = -2*o**3 - 16*o - 4*o**3 + 2*o**3 - 8*o**2 - 8*o**b. Let q(x) = -x**2 - x. What is -16*q(z) + r(z)?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2489495289.\nAnswer: 3, 829831763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-45))\/((-1)\/10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let k(x) = -x**3 - 12*x**2 - 3*x - 39. Let a be k(-12). Let i(n) = n. Determine a*i(h) + w(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + h + 17 = 0, -141*j = -137*j - 4*h - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -57. Let h be 13\/(z\/12 - 3\/2). Let f(u) = u**3 + 13*u**2 + u + 17. Let k be f(h). Solve 5 = b, k*q - 3*b = -b - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - s + 14 = 10*p, 0 = 2*p - 3*s - 2. Solve 0 = p*m - 77 + 65 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112993432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 3075.2.\nAnswer: 3079.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/528 and 15 + ((-14776)\/1008 - -1)?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 + (-72 + 114 - -32)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 215491*k*x - 187*k + 100 wrt x?\nAnswer: 215491*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115712259*b**2*s**2 - 83*b**2 + 1878*s + 37 wrt s.\nAnswer: 231424518*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))\/f)**38\/((f\/((f*(f\/f**(-6\/5))\/f)\/f))\/f**(3\/7)) assuming f is positive.\nAnswer: f**(-1308\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 352, -7.7, 40 in decreasing order.\nAnswer: 352, 40, 26, -7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1098, 60\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 - 5 = k, -4*k = -2*z. Let m(s) be the third derivative of 7*s**5\/60 - s**4\/24 + 2*s**3\/3 - s**2. Is 8 a factor of m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2230 and 88085.\nAnswer: 176170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-5))\/(2\/(-60)). Suppose 4*q = -3*n + s, n + 3 = q + 2*n. Suppose 2*t + 5*a = 90, -t - q*a - 163 = -6*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8\/((-16)\/(-6)) + 8*29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -46. Let m be -3*(-2)\/12*0. Suppose -t - 2 + 1 = 0. Put f, m, t in decreasing order.\nAnswer: f, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4417 is divided by 1029.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 886*o**3 - 24*o**2 - 39 + 24*o**2 - 443*o**3 - 433*o**3.\nAnswer: 10*o**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**4 + 5*m**4 + 10*m**5)*(-2 - 2 + 3) - 7*m**5 - 13*m**5 + 14*m**5.\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2614*13\nAnswer: 3.3982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 4 + q + 8*q. Let c be b(5). Suppose 5*p - 6 = c. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-7)\/((-21)\/(-2))*-16. Let t(s) = 7*s**2 + s + 10. Let j be t(4). Let o = j + x. List the prime factors of o.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.45 from 271.\nAnswer: 272.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 40*n**2 - 24*n - 7. Let s(d) = -178*d**2 + 95*d + 29. Calculate -2*s(c) - 9*t(c).\nAnswer: -4*c**2 + 26*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15800)\/(-780) + -20 - (-1)\/13. Suppose -5*h + u = -16, 5*u + 0*u - 16 = h. Let s*i**5 + 0*i**h + 0 + 0*i + 0*i**2 - 1\/3*i**3 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16198*o**3 + 2*o - 16191*o**3 + 3*o**2 - 17*o**2 to the form l*o**2 + w + n*o**3 + h*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*j**5 - 20*j + 72?\nAnswer: -1560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -4a8a78b?\nAnswer: 4a8a78d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 7. Let b be z(9). Let h be b\/8*-2*-4. What is the derivative of 5 + 2*f**h - 2*f**2 - 2*f**2 - 1 wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6751586194?\nAnswer: 2, 41, 1361, 60497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1, -0.5, -4\/5 in descending order.\nAnswer: 62, -0.5, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001062494 to 7 dps.\nAnswer: -0.0001062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**2\/9 + 556*p\/9 + 160\/9 = 0. Calculate p.\nAnswer: -2\/7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1034*s**2 + 26 + 2079*s**2 + 9*s - 1044*s**2. Determine m(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 - 18*t**3 - 81*t**2 + 324*t + 972 = 0.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*z + 14360, -56*f = 3*z - 59*f - 10788. What are the prime factors of z?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 5.61.\nAnswer: 5.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 18 + 12. Let d(y) = -29*y**4 - 3*y. Let i(q) = 15*q**4 + 2*q. Let f(c) = p*d(c) + 11*i(c). What is the second derivative of f(o) wrt o?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 10*g**2 + 12*g + 12. Let t be l(-11). Let m = -5 + 10. Suppose 5*u + 17 = x, m*u + 3*x + 32 = -x. Put u, 5, t in descending order.\nAnswer: 5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/292 - ((-9932)\/146 + 44)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*v + 430*v + 3271 = -349*v + 31706 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 40152.\nAnswer: 40152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4654 - -202. List the prime factors of b.\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and -4353684129.\nAnswer: -4353684128.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z + 14*z + 11*z - 31*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**4 + 3*y**4 + 2*y**4)*(3 - 4 + 2).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 - -29982585.\nAnswer: 29982509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 3*j**2 - 1. Let u be g(-2). Solve i + 3*z + 2 = -2, 5*z = -u*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 10*a**2 + a + 11. Let r be g(10). Let w = 33 - r. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -107866?\nAnswer: 75506.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21054962 >= 21054960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from dyydddyddy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 153977.544 microseconds?\nAnswer: 0.0000017821475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/120 + v**5\/15 + v**4\/12 + 2*v**2. Let z be f(-2). Suppose 1 = -z*x + 9. Is x bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -266, -1337, -3206, -5873, -9338, -13601?\n\"Answer: -399*a**2 + 126*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139175?\nAnswer: 5, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16107 * 5\nAnswer: -80535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-6))\/((-4)\/(-24)). Let u be 2\/(4 + (-9)\/r). Solve -2*d - 2*z = z - 4, 0 = 2*d + u*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence corc when four letters picked without replacement from ocrcynr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(1100) - sqrt(44) - sqrt(44))\/(sqrt(24)\/(sqrt(24)\/sqrt(4))).\nAnswer: -1 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqpf when four letters picked without replacement from {q: 4, f: 2, p: 8, g: 1}.\nAnswer: 8\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4629*f - 59334 = 31513 + 83247 + 15695 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/3)*v)**26*(((v\/v**(-1\/2))\/v)\/v)**(-2\/59))**(9\/7) assuming v is positive.\nAnswer: v**(23019\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/2, -3, 5\/14, -733 in increasing order.\nAnswer: -733, -3, 5\/14, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-165 - (-7 + 4)) + 4)\/2. Let c = y - -103. Calculate the remainder when 70 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyd when three letters picked without replacement from iynfpdp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1045898*m**4 + 1373518*m wrt m.\nAnswer: -12550776*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-2*n**5 - 4*n + 4*n + (-2*n**4 + n**4 + 3*n**4)*(-6*n - n + 12*n)).\nAnswer: 24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4962 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*i + 132279 + 30783, -q - 2*i = -54361. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9819, 19606, 29393?\nAnswer: 39180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143190992?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 21*f**2 + 45*f - 43. What is the smallest common multiple of m(-25) and 222?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(343)*3 + 0 - (sqrt(343)*1 + 3))*-6)**2.\nAnswer: -3024*sqrt(7) + 49721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-18))\/(1\/6). Suppose 5*k = z*u + 11698, -4*k - 2*u = -10166 + 790. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**31*g\/(g\/(g\/(g**12*g)))*(g*g**(1\/6))**(-23) assuming g is positive.\nAnswer: g**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 - 34*i**2\/7 + 26*i - 42.\nAnswer: 2*(i - 7)**2*(i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/44 + 360\/44 + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/6769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 9:22 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jczr when four letters picked without replacement from rjcrjzo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546 and 868.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by 1352.\nAnswer: -139\/1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three quarters of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4649972377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e2 - -24?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - 0.89. Let w = 0.3 + t. Let h = w + 0.1. What is the third smallest value in -4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11101 + -11122. Put 4, 12, z in descending order.\nAnswer: 12, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2392721 + -11.2.\nAnswer: -2392732.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22\/47, -1265, 1\/3?\nAnswer: -1265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/1111 and -1\/505.\nAnswer: 5555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -7*x + 357. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3195 and 2769?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 14. Let m be (-4)\/24 + (-237)\/(-18). What is the second derivative of a**5 + 0*a**k - 8*a**5 - 4*a**5 - m*a wrt a?\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(432)*1)**2 - (sqrt(432) + -5 + (sqrt(432) - (-2 + sqrt(432)))**2)).\nAnswer: -72*sqrt(3) + 10374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3*w**2 - 22*r*w**2 - 38*w**2 - 2 wrt r?\nAnswer: 6*r**2*w**2 - 22*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**3 - o + 1. Let d(a) = 2*a**2 + 18*a - 70. Let h be d(-12). Determine z(h).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -i + 36 - 13, -3*i + 33 = 3*n. Sort -2\/29, 0.4, i.\nAnswer: -2\/29, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22225 + -11?\nAnswer: -22240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkemkekhmkheahkkkee. What is prob of sequence eahe?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 129 - 387 - 367*i + 1701*i + 129.\nAnswer: 1334*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8217443836860.3 and -3?\nAnswer: 8217443836863.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 y when four letters picked without replacement from yyyyyyiyyyyiy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**3\/3 - 80*p**2\/3 - 308*p\/3 - 304\/3 = 0.\nAnswer: -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.35 - -14.3. Which is the nearest to 0.2? (a) i (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 7*g**4\/4 + 10*g**3\/3 + 13*g**2 - 8*g + 96. Is w(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (sqrt(243) + 1 + (1*sqrt(243) - sqrt(243)) - (sqrt(243) + sqrt(243)*-2 + 0)**2)*-1.\nAnswer: -9*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45310.24056 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 + 7*i**2 - 4*i - 2. Let o be p(4). What is the greatest common factor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 6. Give g(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-13))**(-39))**(-36) assuming d is positive.\nAnswer: d**(-16848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31575335 is divided by 5156?\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:27 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2414 and 204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 274 - 40 = 0. Let n = j - -960\/37. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 1, f: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 5*j**2 + 3*j + 3. Give n(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4434 is divided by 369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -18*i + 237. Let b be m(13). Solve -b*c = 8*c + 44 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**5 - 704*v**4 - 676*v**3 + 4200*v**2 = 0. Calculate v.\nAnswer: -175, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(9\/5)*u\/(u**(-28)\/u))\/(u**2)**24)**(-4\/9) assuming u is positive.\nAnswer: u**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = h, w = 2*h. Let m = 6 - 8. Let n be 30\/(-4) + (-32 - -39). Put n, m, w, -1\/7 in ascending order.\nAnswer: m, n, -1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s**3 - 4*s**2 - 4*s. Let u(n) = -35*n**3 - 15*n**2 - 15*n. Let d be (-4)\/(2\/2) - 326 - -3. Let v = -342 - d. What is v*l(c) + 4*u(c)?\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 7*q**2 - 7*q - 8. Let v be l(8). Suppose v = -2*u - a + 1, 3*a - 5*a = 6. What is the derivative of -6*x**2 - 9 + 0 + 5*x**u wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 6. Let d(j) be the first derivative of 2*j**2 - 7*j - 2. Let t(s) = 4*d(s) + 5*g(s). Differentiate t(o) with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11015*n*o**2 + 43*n*o + 6*n - 3*o - 1 wrt o.\nAnswer: 22030*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12138 - 12143 - 12147 - 12144 + 60710 - 12139 + 52*t**2.\nAnswer: 52*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, 74, 1\/1288 in decreasing order.\nAnswer: 74, 2, 1\/1288, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 284\/((-3)\/((-36)\/8)). Suppose -64 = 2*v - x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 4*d - 5. Suppose 2*p + 2 + 2 = 0. Let h be 3 - (p - 0 - -1). Give k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = 8*b. Calculate the least common multiple of b and (3\/(-6))\/((-5)\/4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 265 + -150. Which is smaller: 117 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13, 2, -41, -134, -295?\n\"Answer: -3*z**3 + 2*z**2 + 4*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15435*c**2 - 8*c + 8*c.\nAnswer: 15435*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-67 - 6 - -4 - (-47 + 67)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339496545 by 6465.\nAnswer: 52513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (27 - (-1 - -21)) - 65?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 4*q = 17*r - 21, 2*q - 8 = 0. Let c(a) = -a**2 + 11*a - 7. Determine c(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24737.00153 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 + 3*p - 1. Let z be a(1). Suppose z*f - 50 = 3*f. Let d = -11 - -23. Calculate the lowest common multiple of f and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcu when four letters picked without replacement from {e: 2, u: 1, c: 3, n: 1, g: 3, z: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {b: 2, t: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 22*m**2 + 87*m - 1992. Let h be i(20). Is 0.08 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 20 = 3*p, -p - 17 + 32 = 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 15*t + 34. Is 8 a factor of y(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*g + 2 = 20, g - 1 = -3*v. What is the greatest common factor of v and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4920370.56 minutes to weeks.\nAnswer: 488.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppffppfffffpf. Give prob of sequence ffpp.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3515609 nanometers in millimeters?\nAnswer: 0.0000003515609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let g be a(2). Suppose 0 = -5*y - 15, -g*i = 2*y + 2*y - 6. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbeswesaefea. Give prob of picking 2 e.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 111\/2 - 1\/(-2). Let l be ((-4)\/(-12)*-12)\/(4\/(-107)). Let s = l - d. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.4, 3\/530, 0.03, 2\/17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/(-111))\/(((-1)\/105)\/(22\/770*21)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163436 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 286424989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1356258 divided by -114.\nAnswer: -11897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -2*h**2 - 4*h + 67. Let f(a) = 2 - 9*a - 7 - 4. Calculate -7*c(l) + 3*f(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 290002.8 nanometers in millimeters?\nAnswer: 0.2900028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 + 183*o**4 + 1359*o**3 - 8751*o**2 - 1362*o + 8568 = 0?\nAnswer: -51, -14, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {o: 1, n: 1, f: 1, s: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 + 5\/42*l**7 + 0*l**2 + 0*l**5 + 0*l**4 + 1\/3*l**3 + 0*l**6 - 2*l. What is the second derivative of y(z) wrt z?\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405 and 281160.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d35 (base 16) in base 6?\nAnswer: -200313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - (3 - 2 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11111011?\nAnswer: -11111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159.9 - -160. Which is the nearest to w? (a) 1\/4 (b) 0 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*h**2 - 11 + 2*h**3 - 65*h**2)*(-h**2 - 2 + 2 + h**2 - 4*h + 4*h + (2*h - h - 2*h)*(-2*h - 3 + 3) - 2*h**2 + 2*h**2 + 2*h**2).\nAnswer: 8*h**5 - 44*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6201 and 351.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/7, -4, -211?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(16)\/sqrt(2)) - (sqrt(99) - (sqrt(99) - (sqrt(99) + (sqrt(99) - -3*sqrt(99)) - sqrt(99)) - sqrt(99)))\/sqrt(9)) + -5)**2.\nAnswer: 40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/6*(3 - 5). Let t be -603*5\/f*4\/(-6). Suppose -462 = -8*w + t. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + n = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l = 3 - 615 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.6 + 18.6. Which is the closest to 22\/9? (a) 5 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Let z = 0 - 2. Let f be ((-4)\/6)\/(z\/(-6)). Sort -4\/3, f, r in descending order.\nAnswer: r, -4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -1\/720*g**6 + 11\/12*g**4 + 0*g**3 - g + 1\/20*g**5 + 0 + 0*g**2. Let c(r) be the third derivative of h(r). Determine c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/3)\/((-5)\/10). Suppose 0 = -7*w + y*w. Let a(z) = -z**3 + 11*z**2 - 27*z + 13. Let c be a(3). Solve c = -w*o + o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2830)\/849)\/((-2)\/(-9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 5.7 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19 + -3 + -1 + -3. Let f be (172\/(-3))\/(u\/(-18)). Suppose 2*i + f = 2*y, -5*i = 2*y + y - 97. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 433\/65 - 58\/13. Which is the closest to 1\/2? (a) x (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 1:24 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 7:49 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -341 - -505. Suppose -7*x + k = -116. What is the highest common divisor of x and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 682 and 1612.\nAnswer: 17732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g)**(1\/24)\/((g*g**24)\/g**(-3\/4)) assuming g is positive.\nAnswer: g**(-613\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4. Let g = -997 + 999. Solve g*l = -5*c + 6, -x*c = -0*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from jkjkzhsd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*s - n - 13, s - 25 = -5*n. Suppose s*i + 0*i = 595. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*c + q, -2*c + 22 = 2*q + q. Suppose p = -3*s + c, 2*s = 2 - 0. Suppose 2*f = -8 + 16. What is the remainder when f is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 582468 + 1?\nAnswer: 582470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 732*s - 130*s + 105*s - 4.\nAnswer: -757*s - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94480820.\nAnswer: 2, 5, 7, 229, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g. Let d be (-9)\/(-4) - 8\/32. Let w(i) = 4*i**2 + i**2 - 3*i**d. Calculate w(j(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2353 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0609979 - -457654.9390021. Let a = r + -457653.999964. Let u = a + -1. Round u to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8574*r**2 - 55*r - 4.\nAnswer: 17148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/20 and (-93071)\/(-15246) - 5*6\/5?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -36. Suppose 0 = b - g. Is (b + 787)*(-1 + (-3)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15004 is divided by 3734.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*i - 3 = 19, 3*p + 5*i = -14. Suppose -4*t + 0*q + 33 = -3*q, 2*q + p = t. Is t\/3 + (367 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -27*f - 508. Let w be l(-19). What is the closest to 3 in -0.2, w, 3.1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2695 by 74.\nAnswer: -2695\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -27*x**2 + 1283. Let n(s) = 3*s. Give b(n(a)).\nAnswer: -243*a**2 + 1283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 1257, 2984, 5435?\nAnswer: 8610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17441 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3*d - 3*d)*(-2*d - d + 5*d) + 1156 - 1154 - 3*d - 3*d**2 - 2*d.\nAnswer: d**2 - 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1784 rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -98\/3. Let v = p + -7\/12. Is v < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353653 (base 8) to base 2\nAnswer: -11101011110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 3. Calculate t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67942 or 67941?\nAnswer: 67941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) 5 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4 + 272*z**3 - 21977*z**2 + 543850*z = 0.\nAnswer: 0, 50, 73, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130370 - -130368.339988. Let r = -1.66 - h. What is r rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34544819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f - 7. Let y be r(-17). Calculate the highest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52211*t - 52211*t - 52215*t + 156619*t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/7 + 448*n**4 + 230109*n**3\/7 + 397240*n**2 + 2106044*n\/7 - 731424 = 0.\nAnswer: -57, -14, -2, 1, 3208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16033 is divided by 667.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12220*c**3*q**2 + 16849*c**3*q - 2*c*q**2 + 2*c*q - q**2 wrt q?\nAnswer: -24440*c**3 - 4*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -81, -123, -165?\n\"Answer: -42*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 + 804*o + 15 - 2*o**2 + 5 + 12 - 33 to d*o + s + k*o**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1908993, -1909008, -1909023, -1909038?\nAnswer: -1909053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 9*i - 4. Let a = -174 + 172. Let m(f) = f. Let j(z) = a*m(z) + k(z). Calculate j(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*v + 8*v + 13, 4*c = -v - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -3*i**2 - 1\/30*i**5 + 14*i + 13\/80*i**4 + 1\/350*i**7 - 1\/3360*i**8 - 1\/200*i**6 + 0 - 3\/10*i**3. Let d(u) = 0. What is u?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -15*l**2 - 6*l + 10. Let s(z) = 3*z**2 + z - 2. What is 2*q(v) + 11*s(v)?\nAnswer: 3*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4 = x - 7, 3*k + 12 = -3*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*1*0\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**5\/100 - z**4\/20 + z**3\/10 + 8*z**2. Factor p(k).\nAnswer: 3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y = 27*y. Suppose y = 3*x + 172 - 7. Let l = x + 79. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -4659\nAnswer: 71\/4659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273328*i + 0*i**2 + 3*i**2 - i**2 - 273328*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1532, -3647, -6890, -11825, -19016?\n\"Answer: -94*n**3 - 1457*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -15*w**3 - w**2 + 1. Let d be z(1). Let y be (-44)\/(-6)*d\/5. Let s = y + 12. Which is bigger: -9 or s?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**4 - 29*q**3 + 193*q**2 - 276*q + 144. Let j(l) = 2*l**4 - 15*l**3 + 96*l**2 - 134*l + 72. Let c(t) = 5*j(t) - 3*v(t). Let c(a) = 0. Calculate a.\nAnswer: -18, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.294346 millennia in decades?\nAnswer: 729.4346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30\/19 + -177\/76. Which is the smallest value? (a) -0.3 (b) 4 (c) -24 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:37 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 + -1.09. Let x = -0.29 - s. What is the closest to 1\/5 in x, 1\/6, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:40 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.989 - 8.989. What is the fifth biggest value in -7\/4, 0.1, 5, 4, y?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, 0.5, -5\/4 in descending order.\nAnswer: 0.5, 0, -5\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -1.6. Let c = -0.86 + z. Let a = 4.06 + c. Put a, -0.5, -2 in descending order.\nAnswer: a, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012656294 rounded to five dps?\nAnswer: -0.01266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103189456 a multiple of 697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/1872)\/(6\/(-300))?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -17, -100, -279, -590, -1069?\nAnswer: -1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-78) - (0 + 4 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 4, 12, -0.3, -1\/3.\nAnswer: -31, -1\/3, -0.3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/133 and -39\/190.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/47 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -651 + 2679. Suppose 0 = 4*x - x - d. Is x\/(-6)*(-36)\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727556?\nAnswer: 2, 181889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -555, -554, -555, -558, -563, -570, -579?\n\"Answer: -h**2 + 4*h - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -12 - (-109 + 5 + -9 + 13)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 4. Let w be o(0). Let y(j) = 2*j + 3. Let z be y(w). Suppose 3*m = 16 + z. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*g - 0*d + 31, 2*d = -5*g + 7. Suppose -5 = -g*o + n + 58, 2*o - 3*n - 35 = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 26. Let i(j) = j**3 + j**2 - 9*j + 17. Let s be i(6). Suppose 4*p + 5*n - 238 = 0, h*p - 2*n = s - 48. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5662 = 5522 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-2)\/(5 + -7) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867 is divided by 231?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 30*c = -196, 0 = 11443*c - 11448*c - 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 5579*p - 5173*p + 10729*p.\nAnswer: 3*p**2 - 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.4, 2, -2\/3, -11, -16 in increasing order.\nAnswer: -16, -11, -2\/3, -2\/7, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20729678 to the power of 1\/2, to the nearest integer?\nAnswer: 4553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 10:31 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5. Let s(i) = -m + 24*i - 5 - 6. Is s(5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303338 divided by -461.\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-164)\/123)\/((-4)\/3)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 39. Let u(c) = -6*c**2 - 4*c - 14. Let x(y) = 11*y**2 + 9*y + 27. Let d(v) = k*x(v) - 9*u(v). Differentiate d(j) with respect to j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 202 - -20061?\nAnswer: 20263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 at least as big as 890560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 12 + 0 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48)\/(-72)*(1 + 353)\/2.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 - 221. Let q = -0.04 + -0.06. Put -5\/3, m, q, 5 in ascending order.\nAnswer: -5\/3, q, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/(1\/(-5)). Suppose -l*y + 75 = 5*g, 30 = 2*g + 2*y - 0*y. Let n be (-20)\/(-8) - 1\/2. Solve -z + 4*f = -g, -z - f - 8 = n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0446 + -140.9554. Let d = -140.999086 - o. Round d to five dps.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 53*d + 238. Determine w(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 950 = 48*i + 24*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -1262721.\nAnswer: -20\/420907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26597447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13160757 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryoe when four letters picked without replacement from {o: 5, y: 4, r: 1, e: 5}.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 286 = -5*l, 0*x + x = -2*l + 115. Let t = l + -27. Let w(g) = -1690*g + 65920. What is the remainder when t is divided by w(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -34 in descending order.\nAnswer: -3, -11, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-9)*(-6)\/(-4). Sort 2, -4, c in decreasing order.\nAnswer: 2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.002 + 0.002. Let z = -0.4 + 0.3. Let d = -0.1 - -0.1. Which is the closest to i? (a) z (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -802837, -802743, -802649, -802555, -802461?\n\"Answer: 94*a - 802931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-1585\nAnswer: -79.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 355809\/26 + -13689. Find the common denominator of t and (-10)\/48*(-207)\/10.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 0.4 (c) 0.2 (d) 15 (e) -14712\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.98 + 25.98. Suppose -p - 5*z = -27, 0*p - 21 = 2*p - 5*z. Let f = 0 + -0.2. Which is the third biggest value? (a) p (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + 2.4. Let j = 7.2 + 1.8. Let y = 6 - j. Which is the third smallest value? (a) 0.3 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 12*y**2 - 18*y + 46. What are the prime factors of v(14)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/7)*z\/(z**(-4\/9)\/z*z)*(z*z**1)\/z**(-14) assuming z is positive.\nAnswer: z**(1135\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110686642190 - -4.\nAnswer: -110686642186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.03 to zero dps.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01265876802 rounded to six decimal places?\nAnswer: -0.012659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(336) - sqrt(336))*3)\/(2*sqrt(700) - ((sqrt(84) + (sqrt(84) - sqrt(84)*-1))\/sqrt(12) + sqrt(7) - sqrt(7))).\nAnswer: 12*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 384096.51 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u - 2 - 2*u**2 - 24*u + 14*u. Let a be s(2). Is 14 a factor of (-4)\/(a + -2) + 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/28)\/(30\/(-20))*4\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h**3 - 582*h**2 + 4825*h + 407366. Determine u(-83).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -35.5. Which is the third biggest value? (a) y (b) 3\/7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.32, 1, 0.1, -2\/13, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159118, 318166, 477214, 636262, 795310, 954358?\nAnswer: 1113406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 468.7 + -93.7. Let o = -376 + x. Which is the smallest value? (a) 2 (b) 1 (c) o (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3621519319 to the nearest integer?\nAnswer: 60179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*j = -2*j - 14, -140*r = -140*j + 136*j - 284 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 16*g**3 - 4*g**2 + 16*g.\nAnswer: 4*g*(g - 4)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5.5. Let w = 1.152 + -3.152. What is the smallest value in -1\/5, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 + 3*h**2 - 4*h**2)*(-4597*h - 218*h - 1825*h)*(2 + 4 + 0) to j*h + o*h**2 + b + u*h**3 and give u.\nAnswer: -79680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 486.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**3 + 12*y. Let g = -125 + 130. Let p(z) = 2*z**2 - 4*z**2 - z**2 + g*z**2. What is p(d(x))?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 307? (a) -2 (b) 6 (c) -0.225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -296 - -3258\/11. Let x = 0.404 - 4.404. Sort r, x, -6, 5 in decreasing order.\nAnswer: 5, r, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**7\/70 - i**5\/24 + 35*i**3\/6 - 30*i. Let k(h) be the second derivative of c(h). Find the second derivative of k(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 888083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/2 less than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 7. Suppose -5*b + 0*b = l - 12, -3*b + 3*l = 0. Suppose k = t + b. Solve t*w = 5*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(-1*sqrt(126) + sqrt(126)))\/(sqrt(448)*-4 - (sqrt(378)\/sqrt(6))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 9*t**2 - 4*t + 1. What is the remainder when 96 is divided by q(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 divided by -453224.\nAnswer: 47\/453224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*a + 8, -33 = -2*w + 5*a - 4. Suppose w*v + 7 = -39. Let u = -66 + 44. Is u less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 5, -3 in decreasing order.\nAnswer: 87, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 333*v**2 - 75*v - 3. Let r(q) = -2*q**2 + 3*q - 1. Let d(a) = 9*r(a) + w(a). Factor d(n).\nAnswer: 3*(7*n - 2)*(15*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1834.936 - 1835. Which is the closest to -0.1? (a) 5 (b) 1\/4 (c) z (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*j + 26, 3*g - 31 = -0*j + 5*j. Suppose -3*c - 2*x = 20, g*c - 5*x - 11 = -37. Let r be 22\/6 - c\/(-12). Solve o = -r*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Let s = p - -2. Let y be 1*(20\/16)\/(6\/(-24)). What is the closest to -2 in -0.5, s, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 - -0.16. What is the closest to -1 in k, 0.05, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11658304 divided by -16\nAnswer: 728644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22221100112 (base 3) to base 16.\nAnswer: 2af4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(432))**2 - 2*(sqrt(3) - sqrt(12)\/(sqrt(20)\/sqrt(5) + sqrt(4))).\nAnswer: -49*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 4:47 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -116, 3\/7, -4 in decreasing order.\nAnswer: 3\/7, -1, -2, -4, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633.1903 days in weeks?\nAnswer: 233.3129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 79?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-6)\/(-4))*2. Suppose 0 = -z + s*z + 3*u + 7, -4*z + 36 = -4*u. Let d be (-18)\/z*(-2)\/3. Solve b = -d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 5*d + 237639, 0 = 3*c - 2*c + 5*d - 33957. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.3 + 0.012.\nAnswer: 7.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/5 - 4096*f**4\/15 - 4612*f**3\/3 - 9472*f**2\/5 + 4062*f\/5 = 0. Calculate f.\nAnswer: -677, -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/(14\/4). Let y = 8698.6 - 8698. Which is the nearest to -0.2? (a) k (b) y (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 11*l + (3 - 2 - 3)*(3*l - 2*l - 2*l) + 2*l + l - l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3376.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + 3 - 3*(-5 - 4). Suppose -2*c = -23 + v. What is the second biggest value in -21, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:13 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332729 is divided by 2432?\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 169*l**2 - 320*l + 1023. Give r(-167).\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28 take away 0.25?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 3479*l + 20 - 3479*l - 20.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 6010.\nAnswer: -2\/3005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2035\/102 + -142\/51. Find the common denominator of 76\/21 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 - (8 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 76, 60, -26, -206?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3617, 14469, 32553, 57869, 90417, 130197?\nAnswer: 177209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**3 - 153*y**2 - 37\/24*y**4 + 0*y - y**6 + 1\/60*y**5 + 0. Find the third derivative of b(c) wrt c.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2672 + 9014 + 1557 = 697*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 234340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 4, t: 2, m: 4}. What is prob of sequence bjm?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(-1)*2*3\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4573, -4591, -4607, -4609, -4585, -4523?\nAnswer: -4411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 13*u**2 + 31*u + 16. Let v be d(-2). What is the closest to -0.1 in 3\/40, -4, 3, v?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 596 and 617760.\nAnswer: 92046240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {c: 5, m: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -15*f**4\/4 - 68*f - 61. Differentiate r(g) with respect to g.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403458.\nAnswer: 2, 3, 11, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -94.9 and -0.5.\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*n + 331*n - 462158 + 924312 - 462153.\nAnswer: 670*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370217120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -10. Which is the second smallest value? (a) -6\/11 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 20 = -22*f. Put 2, f, -1, -9 in descending order.\nAnswer: f, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2839326, -5678663, -8518014, -11357385, -14196782, -17036211?\n\"Answer: -p**3 - p**2 - 2839327*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 2932396 and 6600544.\nAnswer: 9532940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let z(b) = 11*b + 10. Let y be z(-4). Is y*(-3 + t + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(66)*-2 + sqrt(66) + sqrt(66))*2 + -4*-2*sqrt(66)))\/(((sqrt(384) - 5*sqrt(384)*1) + sqrt(384))*3).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-16742)\/(-27396)*8\/11?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2086 and 6.\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216.178 - 216. Let j = r + -0.14. Let w = 5.162 + j. What is w rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 - -75. Let v be (-24)\/(-5)*(-370)\/4. What is the remainder when (-13)\/(-65) + v\/(-5) is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.42 + -45. Let r = 1094.9525 + -1095. Let h = r + -0.9525. Is c at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 - 16*b**2 + 15*b + 19. Let u be m(11). Suppose 0 = -5*p + u + 4983. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -39, -2\/7, 0.4, -9863.\nAnswer: -9863, -39, -31, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111012202 (base 3) in base 8?\nAnswer: 206111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 25 (c) -183 (d) -1\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*j**2 + 21*h**2*j - 4*h**2 + 323*h + 11235*j**2 + 2 wrt j.\nAnswer: 6*h**2 + 22470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -55*(-7)\/77*713 is divided by 508.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 9*l**2 - 12*l - 6. What is i(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/83 and -28\/11?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/3*n - 1\/3*n**4 - 34\/3*n**3 - 32\/3*n**2 + 11.\nAnswer: -(n - 1)*(n + 1)**2*(n + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 + y**2. Let l(o) = 1241*o**4 - 10*o**3 - 246*o**2. Let n(u) = -5*g(u) + l(u). Find the third derivative of n(c) wrt c.\nAnswer: 29784*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = z - 2, 0 = 5*z + 2*p - 3. Suppose 0 = -188*i + 29*i + 318. Solve z = -a + i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -15*n - 69\/4*n**4 + 0*n**3 + 0*n**2 + 2. Differentiate h(w) wrt w.\nAnswer: -207*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161257 and 2209?\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*a**2*l**3 - 107*a**2*l**2 + 5*a**2*l + 4*l**4 - 2*l**3 wrt l?\nAnswer: 1062*a**2 + 96*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/422944463 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - 0) + 2. Sort -5, 1, -3, a in ascending order.\nAnswer: -5, -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/465975 and 68\/11445.\nAnswer: 3261825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115776990 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -7*k**6\/15 - k**5\/5 + 7*k**4\/6 + 2*k**3\/3 - 40*k + 2. Let v(p) = 0. Calculate p.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + -1)**2 + 3 + sqrt(8).\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 49. Let d = 25 - 8. Let a = d - 19. What is the second smallest value in -1, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 23*a + 21. Determine q(-19).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((-3)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/121, -0.5, -15\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 6. Let y(i) be the first derivative of 1\/6*i**6 + 0*i**5 + 0*i**4 - 2 + 0*i**3 - i**n + 0*i. What is the second derivative of y(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(1584) + 1)**2.\nAnswer: 72*sqrt(11) + 4755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 749*a**3*y - 72*a**2 + 2*a*y wrt a.\nAnswer: 4494*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 12) + (8 - 36) - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y**2 - 2*y - 2. Let h(f) = f**2 + 1. Let v(x) = -5*h(x) - t(x). Let a(b) = -31*b**2 - 5*b + 9. Let p(r) = 6*a(r) + 17*v(r). What is p(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 857*g**2 + 47110*g - 22337. Determine u(798).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89233877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -186, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 2 (b) -2\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -1.13698?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04104 times -147?\nAnswer: -6.03288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvt. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -37\/49, 3\/11?\nAnswer: -37\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 30. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*f**3 + 450*f**3 + 192*f**3.\nAnswer: 791*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239866927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275368, 550739, 826110, 1101481, 1376852?\nAnswer: 1652223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)\/o)**(-12\/13)*(o*o**3)\/o**14 assuming o is positive.\nAnswer: o**(-82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 186 + 234 = -2*t, -48 = 2*t - 0*o - o for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -1332*((-4)\/6)\/((-33)\/(-264))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 97*a + 1040. Let m be q(-9). Solve 100 = -m*f - 20*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1601857*g**2 - 38982*g - 2 wrt g.\nAnswer: 3203714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12212956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*h - 27*g + 22*g, 5*h + g = 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2. Let g(i) = 144*i**2 - 11*i**2 - 28*i + 7*i**2 + 24*i. Calculate g(h(m)).\nAnswer: 560*m**4 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-140)\/144 + -2 + (-20)\/(-9). What is the closest to p in 1\/9, 5, -6, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5700 = -8*a + 7*a. What is a rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1)\/(-2)*-1. Let g(x) = 7*x**2 - 2*x + 1. Let j be g(1). Solve -i**2 - j*i**2 - 2 + v*i - 9*i = 0 for i.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -1311?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 5*o + 35, 5*h - 5*o + 935 - 1973 = -983 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 103*z**2 + 1. Let c be w(1). Suppose n - 2*q - 16 = -0*q, -2*q + c = 4*n. What is the lowest common multiple of n and (-60)\/(-18) + 3\/(-8 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 2?\nAnswer: 115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 131, 524, 1163, 2036, 3131?\n\"Answer: -2*p**3 + 135*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + 83. Which is the biggest value? (a) -2\/11 (b) 3 (c) p (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -6*k + 5. Let g be k\/((-963)\/(-3591) + (-2)\/7). Suppose 5*o - 4*w = g, 3 = -o - 5*w + 26. Solve 5 - o = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 84415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37700 and 1865396?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + -12. Does 5 divide (-9)\/r*4*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 29*d**6\/360 + d**3\/3 + 14*d**2. Let r(h) be the first derivative of a(h). Let k(n) = n. Give k(r(x)).\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -295842138 to the nearest one hundred thousand.\nAnswer: -295800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*q + 2. Let p be -3 - ((-27)\/5 - q). Let a = 113\/20 + -22\/5. What is the smallest value in a, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276.022 rounded to the nearest 10?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-1*sqrt(4)) - 1*sqrt(1089))\/(sqrt(12)\/sqrt(4)*-5 - sqrt(108)\/sqrt(4)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, n: 6}. What is prob of sequence nn?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.8 - -10.5. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010144694 to six dps.\nAnswer: -0.010145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002643493836 rounded to seven dps?\nAnswer: 0.0000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.812 - 0.188. Let n = -91\/58 - -2\/29. Let b = 1.2 + -0.2. What is the nearest to b in n, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 36 = -7*c. Let i be (-1 + 2)*(-1 - -1). Let q(j) = 5*j - c*j + i + 0*j - 2. Give q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1122 + -0.209.\nAnswer: -1122.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v + 3*u = -7, -5*u - 17 = 4*v. Find the second derivative of -2*a**2 + 3*a - a**v + a + a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + 0*g - 2*g + (-2 - 2 + 7)*(-1 + 3 - 3*g - 7).\nAnswer: -8*g - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161129 divided by 4.\nAnswer: 161129\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/56*-2)\/((-27)\/(-6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159070.\nAnswer: 2, 5, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 430.5597m?\nAnswer: 0.4305597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32116522.\nAnswer: 2, 127, 126443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41, -130, -237, -332, -385, -366, -245?\n\"Answer: 5*o**3 - 39*o**2 - 7*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12*q + 2. Let t(a) = 35*a + 7. What is -2*t(c) + 7*z(c)?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 10. Suppose -5*d + 8 + 7 = 0, -4*p + 17 = 3*d. Let k be m(p). Suppose 226 = 2*f - 2*o, -2*f + k*o = 2*f - 450. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3399.531421 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) + (-639)\/90. Is -7 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7171796 and 151\/2082.\nAnswer: 21515388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*l - 6, 2*l = -r + 1. Suppose -22 = -4*c - 2*m, -c + 2 = 2*m - 11. Let y(z) = -c*z + 0*z + 4 - 2*z + z**2 - z. Calculate y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -3\/8 (b) -185 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28554\/11 - (-8)\/220*5?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 136*q**2 - 11*q**2 - 29*q**2.\nAnswer: -183*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2616 - -510118\/195. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.727 + 2. Let i = 1.619 + s. What is i rounded to two dps?\nAnswer: 1.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111000000 (base 2) to base 15.\nAnswer: 8c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128.1461845 + 128.15. What is y rounded to 4 decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.115 from -194374.0781.\nAnswer: -194374.1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x**3 - 2 + 38*x**3 - 17*x - 21*x**3 - 27*x as b*x**3 + j*x + f + t*x**2 and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, 1, 2\/5, 58.1, 0.3, 1\/387?\nAnswer: 58.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 4. Suppose 0 = -2*l - 8, -5*z + 2*l = -0*l - 8. Suppose 3*b - 7*b = z. What is w(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 11*t - 3. Let h be q(-7). Solve 4*s + h = -6*y + y, 14 = -4*y - 3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -30 - 45. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-40 + (82 - 86)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*f + 8 = x, -243*f + 244*f = 4*x - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 15\/2, -4, -98, 0.3, 2\/9.\nAnswer: -98, -26, -4, 2\/9, 0.3, 15\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - s - 11 = 0, -4*a - 3*s + 15 = -4*s. Suppose 4 = -2*v + 4*u + 32, -v = -a*u - 4. Solve 5*x - 35 = -4*d, 2*x + 3*d - v = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -133. Let n = -4 - d. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/16, 2, 9.99, 2\/9, -5?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1296619117 and 2?\nAnswer: 2593238234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 11409875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -217*g + 462*g - 157*g + (4*g + 0*g + 10*g)*(1 + 0 + 0) as p*g + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:53 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-4 + -5 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2198*h**2. Let a(i) = -381*i**2 + 36*i + 18. Let t(d) = -106*d**2 + 10*d + 5. Let r(p) = 5*a(p) - 18*t(p). Calculate r(u(z)).\nAnswer: 14493612*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75637517 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*h = -410*h - 42. Let d(y) = 13*y**2 - 21*y - 53. What is the tens digit of d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 3, -5 in descending order.\nAnswer: 3, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -28, 1\/2, -2, 0.4 in descending order.\nAnswer: 1\/2, 0.4, -0.5, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 3. What is k(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -25*f**4 - 240535*f**3 - 1057910*f**2 - 384680*f = 0.\nAnswer: -9617, -4, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 - y + 2. Let c be t(-4). Suppose 0 = 3*i - c, 2*i - 5 + 33 = 2*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - -48 - (-2 - -16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6875 + 6878. Suppose 0*p + 3*p = 72. Solve -p + 27 = f*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280861493.\nAnswer: 11, 25532863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 15*w + 3*w - 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1513 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 33*m**2 - 37*m + 146. Is s(-47) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/60 and -163\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 6*m - 3. Give k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 4*v. Let i(p) = -p**2 + 5*p. Let k(z) = -4*i(z) - 5*n(z). Let j(b) = -1 + 2*b + 1. Calculate j(k(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 729837 + 5*w - 364924 - 5*w + w**2 - 364913.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145358 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26400 - 26417. Let m(i) = -i**2 - 19*i - 53. Calculate m(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 537340 and 74980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 - -831\/7. Let d be 1\/(-2)*3\/6. What is the nearest to 0 in s, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 2, c: 2}. Give prob of picking 1 f, 1 i, and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 649\/2247 - 1\/321. Solve 4\/7*l + 6\/7*l**2 + 0 + o*l**3 = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-13 + (-308)\/(-21)) + (-383)\/(-3). Calculate the highest common factor of s and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 0*i**3 + 1 + 364*i**2 - 365*i**2 - i**3. Let r(u) = -3*u**3 - 2*u**2 + 9. Calculate r(h) - 2*x(h).\nAnswer: -h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + sqrt(35)\/(sqrt(15)\/sqrt(3)*-6) + 4*((sqrt(700) + -1)*-3)**2.\nAnswer: -4321*sqrt(7)\/6 + 25236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from ffrvfrvfrvfrfvrvfvfv?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 - 318*u + 18881 = 0. What is u?\nAnswer: 79, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.624 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -211?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/546 + 54\/(-70) + 3\/15?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.072452\nAnswer: 0.144904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2202022102 (base 3) to base 2\nAnswer: -1101001110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3555*b + 15252. Determine d(4).\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60184 divided by -3?\nAnswer: 60184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*l**2 + 26*l - 5.\nAnswer: (l + 1)*(31*l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917496 to the power of 1\/2, to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16297 or -16299?\nAnswer: -16297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -169, -172, -175?\n\"Answer: -3*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 9213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283083.01 days to weeks.\nAnswer: 40440.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q + 33 = 2*d, -3*d + 57 = q. Sort -6, d, 0.\nAnswer: -6, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 2\/11, -3215 in ascending order.\nAnswer: -3215, 2\/11, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14791803+-9521\nAnswer: -14801324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 52 (base 12) to base 4\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**2 - 32*x**2 + 991*x**3 - 3001*x**3 + 1008*x**3 + 1007*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -21*h**2 - 2*h - 22. Let f(l) = -10*l**2 - l - 11. Let d(p) = -7*f(p) + 3*v(p). What is the units digit of d(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-273)*(-14)\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 2*i - 25, 0 = 5*o - 5*i + 5. Let a = 13 - -7. Suppose a = 5*n - 0*n. Solve 0 = -2*t + 2*p + p - 6, 0 = 4*t - n*p + o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 1. What is the second smallest value in -2\/5, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Suppose 2*v - 4*v + 8 = z. Suppose 7199998 = -3*a + d, v*a + 4799992 = 2*a + 4*d. What is a rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 53*a**2 - 58*a**2 - a**3 + 2*a**4 + 3*a**3 as t*a**2 + n*a**4 + x*a + y + q*a**3 and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.46 - 16. Let r = k - 0.46. What is the closest to r in 0.3, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5*o = -d, -5*d - 5*o - 40 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a - 18 + 18 + (-5 + 6 - 3)*(0*a + 2*a - 4*a))*(4*a + 4*a - 6*a)*(-2 + 2 - a**2) as d*a**2 + l*a + p*a**4 + g*a**3 + c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(2\/(-2)))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.2 + 9. Let d = 10.3 + -10. Let r = d - q. Sort 1, 4, r in ascending order.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202340618 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 116. Which is the nearest to 3? (a) -5 (b) -1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**3*i)\/i)\/i)\/i)**(-1\/19) assuming i is positive.\nAnswer: i**(-3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 31 + -48 - (-15 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2015*q + 10912 = 229*q - 39325 - 19327 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*y = -y + 531, -2*y - 798 = -3*w. Find the second derivative of -w*f**4 - 19*f - f + 227*f**4 wrt f.\nAnswer: -444*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6932.721 millimeters to meters.\nAnswer: 6.932721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/42 - 251\/42. Let r be (8\/(-6) + -2)*(-3)\/(-2). Do r and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 9:29 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 59. Let v = -34.61 + y. Let q = v + -0.38995. Round q to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, -2, 1, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66344103.\nAnswer: 3, 7, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z + 18*z = -2624141 + 366941. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3 + -3 + 0). Let h = i + -29. Let w = -6 - h. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1556 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177687 + 891026. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138184567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3395 - 3329. Solve l*m + 78 = 27*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*3\/30*-3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + s**2 + 2*s. Let b be n(-1). Suppose -3*r + 73 = 2*q, r - b = 4. Solve a - 11 = -4*y + y, -q = -5*a - 2*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 + 3129066*b - 18774504 = 0.\nAnswer: -1043028, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0*s + 10. Suppose s*y + 10 = y + 4*j, -28 = 4*y - 4*j. Is ((-42)\/2)\/(y - -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 5*f**3 + 2*f**3)*(1 - 2 + 4) - f**3 - 2*f**3 - 5*f**3 - f**3 + 2*f**3 + 0*f**3 - 2*f**2.\nAnswer: -4*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glrx when four letters picked without replacement from {x: 3, r: 2, l: 6, g: 3, j: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - x = 9, 3*m - 1 = m - x. Let j(s) = 10*s - 67*s**3 - 15*s**2 + 6 + 68*s**3 + 4*s**m. Give j(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*p = 3*w + 325, -4*w = -4*p + 304. Let t = w - -78. Let y(m) = -m**3 + m**2 + m. Let d(u) = -u**3 - u**2 - 2*u - 2. Give t*y(o) - d(o).\nAnswer: 2*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/3090 and -101\/2266.\nAnswer: 33990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/17)*z)**26 assuming z is positive.\nAnswer: z**(936\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(6\/19)))\/(p*p**(1\/36)*p)*(p\/(p**2*p))**(1\/15) assuming p is positive.\nAnswer: p**(-8471\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*c*u**2*x + 3*c*u*x**2 - 2*c*u*x + 2*c*x - 3*u**2*x**2 + 2 wrt u.\nAnswer: -44*c*x - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-0.4365\nAnswer: -0.6365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10889 = 574*j - 2853 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2691 - 2691. Let h = 265\/2 - 135. What is the smallest value in z, h, -1, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-135314)\/(-4) + (-2455)\/(-982)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125 or 66?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/13, 0, -2\/13, -763, -2\/137, -2\/3, 4?\nAnswer: -763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*sqrt(117)*-1 + -1 + -3 + sqrt(78)\/sqrt(6) + -3*sqrt(52)))**2.\nAnswer: 136*sqrt(13) + 3773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(324))\/sqrt(3) + -5 + (sqrt(3) + sqrt(147)*-5 - sqrt(15)\/(sqrt(5) - (sqrt(5) - sqrt(35)\/sqrt(7)))))**2.\nAnswer: 290*sqrt(3) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose 3*l - 18 = -w*l. Solve l*h = 2*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -219 or -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 0 - (-332 - -304)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 75*i. Let q(y) = -5*y. Calculate t(q(g)).\nAnswer: -375*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -21)*1\/3. Let u be h + 3\/3 + -3. What is the first derivative of 0*i**3 - 1 + u - 2*i**3 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*b - 16, -h + 11409 = 5*b + 11449 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-94)\/(-6). Let x = j - -85. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*d + 4, -3*d = -d - 2*b. Suppose -6*g + 16 = -d*g. Let u(j) = 2*j**3 - 6*j**2 + 2*j - 5. Is u(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*l + 2*f, 2*f + 8 = -7*l + 10*l. List the prime factors of 2 + -1 + 731 + (l - -1).\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s. Let l(i) = 424*i. Determine v(l(g)).\nAnswer: 1272*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12))**(-32) assuming b is positive.\nAnswer: b**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 595 and 16585370?\nAnswer: 116097590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 515\/1236*8\/110. Is 0 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 150847*w - 754202. What is o(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 99 = -143. Suppose m*w + 15 = 19. Solve -2*v = -w*k, -2*k = -3*v + 2*k - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3264451951.\nAnswer: 829, 3937819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.75 + 1.25. Put -0.3, 1, j, 5 in ascending order.\nAnswer: -0.3, 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47651 - 30874. What are the prime factors of y?\nAnswer: 19, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293 = 4*s + 5*t, -2*t = 5*s - 3*t + 1638. Let k = -99 - s. Does 35 divide (k - 15) + 1*(1 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 75016*g**2 + 703350010*g - 1407000100.\nAnswer: 2*(g - 2)*(g + 18755)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406749 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 626 and 728 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 164820233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k - 15*k + 6*k)*(4 - 1 - 1) - 2 + 2 - k.\nAnswer: -31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1659\/(-14))\/((-3)\/126)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -13. Suppose 1 = x - 0*x + m, c = -x - 3*m - 7. Calculate the greatest common divisor of 40 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0)*3\/6. Let s(p) = -p - 1. Let h(u) = -5*u - 4. Let t(o) = q*h(o) - 4*s(o). Let a(m) = 20*m. Determine t(a(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.07 + -0.07. Let l = 2 + -1. Let h = l - t. Which is smaller: h or -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c**2 - 17*c - 17. Let t(i) = -107 + 4*i**2 + 48 + 53 - 6*i. Give -6*b(z) + 17*t(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.4 + -15.9. Let b = 24 + n. What is b rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -187967 from 1.\nAnswer: 187968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 2*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 9*i)*(-i**3 + 2*i**3 + 2*i**3) - 39*i**3 + 39*i**3 + 8*i**4.\nAnswer: 29*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(3*c - 2*c + c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413766 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 - 5*z - 6. Let f be t(-3). Let q = 56 + f. Solve i - q*i = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*20\/(-176)*3912\/489?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 62*q**4\/3 - 22504*q**3\/9 + 41236*q**2\/9 + 332456*q\/9 + 1190\/3 = 0. Calculate q.\nAnswer: -3, -1\/93, 5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -98*j - 2. Let f be p(-2). Suppose -5*v + f = -21. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(10\/6) - 3. Let c = a + 0. Solve c = l + 4*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232167 = 3*t - 3*g, -83 = -5*g - 113. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let a(s) = 3633*s + 3. Determine r(a(d)).\nAnswer: -3633*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-12 - (-5 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -22. Let c = 1314 + -246. Let j = c + -1060. Calculate the greatest common factor of n and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 0 = -40. Let m(k) = -k**2 - 2*k + 15. Let g be m(i). Suppose -5*w + 5*c = -315, w + 2*c - 12 - 39 = g. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/(-25) - -1) + 4\/10. Is 5199\/(-12)*(-11 - (-7 - o)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 2182*h - 1190281.\nAnswer: -(h + 1091)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7192 + 9085. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*p**2 + 0 - 480*p**2 + 248*p**2 + 0.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*y = 52, -27*x - 2*y + 62 = 164 - 97 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b. Let c be 1 - 0 - b - 17. Let h be (2\/c)\/(2\/4). Which is smaller: h or 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*b - 14*b - 93574. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 291, 1016, 2427, 4752, 8219?\n\"Answer: 38*g**3 + g**2 - 2*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40498 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + o - 3 = 12, 0 = -g + 5*o + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804235228?\nAnswer: 2, 223, 571, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2434133 - 3?\nAnswer: 2434130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*-3*(sqrt(720)*3 + -5 + -4 + 5)*-5)**2.\nAnswer: -1603800*sqrt(5) + 36538209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000303023 + -10?\nAnswer: -1000303033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9*t**2 + 5*t - 5. Let y(k) = 0*k + 0*k**2 + k**2 + k - 1. Let x(g) = w(g) - 5*y(g). Let n(a) be the first derivative of a**2 - 49. Calculate n(x(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 2*y - 26, 3*y - 9 + 21 = 308*r - 313*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -113\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -4. Let z = 8 - k. What is the third derivative of 0*o**2 - o**2 + 4*o**2 - z*o**4 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q + 14. Calculate the lowest common multiple of 20 and s(-8).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2398, 2387, 2376, 2365, 2354?\nAnswer: 2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 + f**2 - 4*f + 2. What is the units digit of p(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a98 + 2?\nAnswer: -12a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6*n - 2961 = -7*n, 5*p + 3*n = -2957. Let c = -306 - p. List the prime factors of c.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*w - 21 = 0, -f - 9*w + 26 = 67 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(500\/(-75))*16\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564427.\nAnswer: 1564427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 + 217. Let h be (m\/2)\/((-8)\/16)*-1. Let b(t) = -3*t**2 + 12*t + 4. Let g(a) = -a**2 + 4*a + 1. Let x(f) = -4*b(f) + 11*g(f). What is x(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 7*y - 8. Let a be b(-6). Suppose 5 + 1 = -3*q. Let d = a + q. Sort -5, 5, d in increasing order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/5 + 551*v\/5 - 110 = 0. Calculate v.\nAnswer: 1, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2995*q**3 - 6583*q**3 - q + 3288*q**3 - 27.\nAnswer: -300*q**3 - q - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3 + 3478*g**2 = 0.\nAnswer: -1739, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33912778, 135651112, 305215002, 542604448?\nAnswer: 847819450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -437 take away 0?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 28*d = 15*d - 4*d. Let x = -3.8 - -4. What is the nearest to x in d, -1\/6, -1.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/1699599?\nAnswer: -20\/1699599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.31, 0.2 in increasing order.\nAnswer: -2\/3, 0.2, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/4*(-14)\/(-3). Calculate the highest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u - 24 = 0. Suppose x + 3*o + 6 = 0, 0 = -x - 4*x + 3*o - u. Let v(a) = -348*a - 4. Let j be v(x). What is j rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 12. Determine y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167868 is divided by 1400?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 23*g + 24. Let l be i(-24). Suppose -3 + 7 = v. Suppose -k + 0 = -v. Solve l = -k*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/54*3\/84*18. Let o be (0 - -4)\/((-8)\/(-12)). Let t(r) = r**2 - 7*r + 4. Let c be t(o). Which is greater: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1099663152 and 48?\nAnswer: 1099663104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.74176 litres to millilitres.\nAnswer: 22741.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*i**2*k*s**2*y**2 + 93*i**2*k*s**2*y - i*k*s*y**2 + i*k*y**2 - 7*i*s**2 + k*s wrt i?\nAnswer: 42*k*s**2*y**2 + 186*k*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v**(2\/3))**(-29) assuming v is positive.\nAnswer: v**(-493\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -270\/13? (a) 4 (b) -8 (c) 0.23 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42030\/75*110\/4*887. Suppose -4*p = -f - b - 6530455, -3 = -p. Round f to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 8 + -5 + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**5\/60 + q**4\/8 - 77*q**3\/6 + 23*q**2 + 9. Give g(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86274027 - -1950.\nAnswer: -86272077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/22 and 0 + 0 + 244\/(-56)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 22. What is the remainder when 16 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - g + 2*g - 5. Calculate the remainder when x(-10) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3 + 12*m**2 - m**3 - 5*m**2 - m - 8*m. Let v(j) = j**3 - 3*j**2 + j + 3. Suppose 7*y = 4*y + 9. Let x be v(y). What is f(x)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 659309, 4, -3.\nAnswer: -3, 4, 659309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwjwjwwj. Give prob of picking 2 j and 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/4763 (b) -88 (c) -5 (d) 1\/315\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -11*j**4\/4 - j**3\/3 - j**2 - j - 2. Calculate the remainder when s(-1) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4754473101?\nAnswer: 3, 7, 37, 2039671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256 (base 9) to base 5.\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 41046516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 308*3.\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o**3 - 1\/2*o**2 + 0*o**4 + 0*o + 2 + 1\/5*o**5. Find the second derivative of i(w) wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 678086 * -200\nAnswer: -135617200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 6) + 1 + -6 - (-20 - -3)) + 22.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 66145 (base 7) to base 16\nAnswer: 40a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -20322?\nAnswer: -20322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2177 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:49 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554108 is divided by 413.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 8*y - 9. Let x be f(1). Is 3164\/9 - ((-154)\/63 - x) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 41 = 4*b - f, 13276 = -4*b + 3*f + 13307 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -47, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = -3*q - 18, 3*q + 3 = 0. Suppose z*i + 3*w + 6 = -9, 4*i - 3*w - 15 = 0. Solve -5*u + 0*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**2 + 25*a + 6. Let t(f) = -11*f**2 - 16*f - 4. Give -5*r(g) - 8*t(g).\nAnswer: 3*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/4))**33\/(d*d**6)**(-5) assuming d is positive.\nAnswer: d**(305\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15\/422 + 1707\/23210. Let s(r) = -12*r**2 - 42*r + 25. Let f be s(-4). Is g at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b + 19*b = 250. Solve 2*i = b*v - 14, -2*i - 7 = v - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + 1 - (-1 + 43 + -27)) + 21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8771 - 1333. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 1342 + 1085. What are the prime factors of t?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 2*y - 5. Let m be o(5). Let w = 30 - m. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -999?\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/2*(2 + -1). Suppose -2 = -5*c + 23. Suppose 0 = -h*n + c*n + 60. Calculate the remainder when 58 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/29 + -39)\/((-2)\/2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88*(-13)\/(4992\/(-144)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 2 (c) -0.8 (d) -33 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20211 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4\/5 + 248*b**3\/5 + 16864*b**2\/5 + 63232*b\/5 = 0.\nAnswer: -38, -4, 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133563 is divided by 299.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 32 = 4*g. Let j(c) = c**2 - 12*c - 11. Let u be j(g). Solve 2*w + u = -2*x + 6, 2*x = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1523 divided by 6\nAnswer: 1523\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -25. Suppose -3*n + 1 = 5*g + 4, -5*n + 2*g = 36. Let j be (0 + (-1)\/2)*n. Is m less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 16) in base 15?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1761 + -1761.000015212. What is u rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 + 1.4. Let k = 72 + -71.2. Let r = k + s. Which is the closest to 2? (a) r (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 1. Let l = 5 + 2. Let g(z) = -5*z - 3*z - l + z + z. Suppose 0 = -2*m, 4*m - m - 20 = 4*q. What is q*a(k) - g(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0 + 0 - 4*f. Let w(u) = -u**3 + 4*u**2 - 2*u - 1. Let q be w(3). Let b(l) = l**2 - 2*l**q + 3*l**2. Determine k(b(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1765 - -114723\/65. Suppose 77*p - 72*p = -q + 18, -5*p = 4*q - 12. Let g = 0.63 + -0.33. What is the fourth biggest value in v, g, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395 + 2769\/7. Let -1\/7*g**2 - w - 4\/7*g = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/7 - 4\/14. Let g = v + 8. What is the remainder when 24 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51183 and 54?\nAnswer: 307098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5439798 and 47970?\nAnswer: 27198990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.539 + 2.539. Let p = -0.19 + -0.01. Let z = -2 + 13\/7. Which is the third biggest value? (a) z (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615755118 to the power of 1\/3, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2431 + 2436. Let d = 4 + -7. Let h = -2 + d. Which is the nearest to s? (a) h (b) -2\/13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8273122 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {r: 2, q: 1, f: 3, s: 10, z: 2, b: 1}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 7. Suppose -j = -5*w - 1. Let i(v) = 3 - 4*v**w - 5 - 1 + v + 5*v**2. What is i(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 95*d**3 - 55*d**2 - 230*d - 80 = 0.\nAnswer: -1, -8\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -564 - -568.9. Are 2\/5 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 181 = -4*i, 246 = -4*k + 3*i - 6*i. Let w = k - -66. Solve w*z + 13 = 4*d, -2*z + 5*z - 11 = -2*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(11)*-1)**2 - (1 + sqrt(539))*-1.\nAnswer: 10 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 16515798?\nAnswer: 66063192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427618 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 32. Calculate the smallest common multiple of 12 and q.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*o + 4)*(-900 + 134 - 224)*(-1 + 1 - 3*o)*(-5 + 6 - 4) to g + s*o + j*o**2 and give j.\nAnswer: -17820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -560\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 285*s + 285*s + 164*s**2 - 511*s**2 - 1 to c*s**2 + y*s + d and give c.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1048 - -1042.54. What is d rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 27.\nAnswer: 31\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-6)\/(-4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 + -4)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11776*z + 51712 = 10160*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccna when four letters picked without replacement from ncnnnnncaccaccncnn?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-812)\/(-28) - (0 + 3)*1. Let h be k - -3*(-2)\/(-6). Suppose -3*t + x + h = 4*x, x = 3. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019 - 9*q**2 - 1019 + 2*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 8*k - 9. Suppose 0 = -3*x - 5 + 26. Let u be q(x). Is u + 2 + -2 - -57 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 2*r**2 - r**2)*(-3*r**2 - 4*r**2 + 5*r**2) + r**4 + 31*r**3 - 863 + 863 as g*r**3 + j*r**2 + p + z*r + c*r**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t. Let b be k(1). Let w = b - -6. Solve 7*n + 10 = w*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51597 - 0.48403. Suppose 2*l - 5 = 7*l. Let q be l\/15*(-4)\/(-2). Which is the biggest value? (a) -2\/7 (b) q (c) i (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -245*t**2 + 282 + 246*t**2 - 281 + 0*t - 3*t. Suppose -3*p + k = -11, 0 = -2*p - 0*k - 3*k + 11. Calculate l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 70. Let h(i) = -94*i - 26. Let x(a) = -31*a - 1. Let w(p) = -h(p) + 3*x(p). Determine -3*v(b) - 8*w(b).\nAnswer: -2*b + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykttktk. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -3*t + 4*r + 9, 5*t + 4*r - 45 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 5. Suppose 4*f + 2 = 2*f - 2*l, p*f + l = 0. Let q(k) = -k + 11. Let y be q(8). Which is bigger: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 96*b**4 + 2489*b**3 + 8926*b**2 + 10764*b + 4232.\nAnswer: (b + 1)**2*(b + 2)*(b + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 8:27 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 4. Suppose 4*a - x*a = -12. Let -w**2 + a*w**2 - w + 11*w**3 - 12*w**3 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**5\/5 + 159*j**4\/2 - 2913*j**3 + 8268*j**2 - 8112*j + 414. Suppose c(d) = 0. Calculate d.\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86\/55 + 3271\/1320. Find the common denominator of k and -41\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**37*q**(-10))\/(q**(9\/4)*q\/(q**31\/q)))**(1\/2) assuming q is positive.\nAnswer: q**(215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5 - 23. Let j = 5 + r. Let s be j\/(-2 - (-58)\/30). Solve -3*y - 9 = -3*c + s, -3*c = -4*y - 27 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44656.\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d = -424*d - 481*d - 7263 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -22*u**3 - 16*u**2 + 939*u + 14. Let k(m) = 14*m**3 + 10*m**2 - 626*m - 9. Determine -8*k(z) - 5*l(z).\nAnswer: -2*z**3 + 313*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 3, 11, -3, 0, 6 in decreasing order.\nAnswer: 11, 6, 3, 0, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9676*x - 9673*x + 3*u + 63, 2*x + 31*u + 506 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 8 + 7*g**2 - 8 as m*g**2 + v*g + y and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.2, -25, -4\/7, 678?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 59cac94?\nAnswer: -59cac99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 + 3*c. Let b = -13171 + 13167. Calculate j(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/42*608\/(-80).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 96080.\nAnswer: 2594160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 5*w + 1. Calculate n(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 14*b**2 + b + 21. Let v(s) = -3*s - 7. Let g be v(-7). Is z(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, u: 7}. What is prob of sequence jjjj?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2343 (base 5) to base 15.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 25*t + 173. Let h be q(-7). Sort h, 2\/7, 3, -3\/5, 0.4 in descending order.\nAnswer: 3, 0.4, 2\/7, -3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5))**(9\/10) assuming g is positive.\nAnswer: g**(27\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 0*l - l + (1 - 1 - 13 + (1 - 2 + 0)*(2 - 3 - 1) - 4 - 2 + 4)*(-4*l + 5*l + l) in the form a + q*l and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-3848)\/(-182))\/((-2)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 67. Let u be m(19). Let i = 33 - 18. Suppose 4*g = -h + u, 3*h - 6*h = -i. Solve q = 3 - g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 8*k**2 + 8*k - 4. Let t be o(7). Suppose -q + t = a, q - 12 = 5*a + 3. Let x be -5*(-4 + 51\/15). Put 5, x, a in descending order.\nAnswer: 5, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q + 5*n + 90 = 0, -n = 1. Solve 8*c + q = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47700?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - -0.08. Let q = g + 3.91. Let n = 6\/7 + -2\/35. Which is the smallest value? (a) n (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -3*o + 840. Let v = -88 + o. Let z be (-10)\/104 - v\/(-26). Which is bigger: z or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 14) to base 9\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 22*f - 200. Suppose 5*w = 3*w + 260. What is the greatest common factor of f and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 - 2*q**4 + 2 + 0*q**2 + 8*q**2 to the form c*q**2 + a*q**4 + y*q + v*q**3 + n and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6854576.\nAnswer: 2, 428411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 11, o: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k = -40. Let m = k + 12. Suppose -4*p - 17 = -5*t, -13 = t - m*t + p. Calculate the smallest common multiple of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331203320333 (base 4) to base 2.\nAnswer: 111101100011111000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (1 + -3 - -5). Suppose o*i - i = -3*d, -3*i + 32 = -d. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*k - 8, -j - 7*k + 4 = -5*k. Suppose j*d + 2*v - 430 = 0, 4*d + 210 = -5*v + 643. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7689, -30756, -69189, -122982, -192129?\nAnswer: -276624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q. Suppose -5*l = -5*v + 1 + 14, -l = -3*v + 9. Let b(y) = -y**2 - y + 16. Let j be b(0). Let d(k) = l*k - j*k + 6*k. Give d(t(n)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 5*k - 5*k - 4364*k**2 + 4365*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*r - 2 = 0, 0 = 5*z - 24*r + 27*r - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000108509 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3*i**4\/2 + i**3 - i**2\/2 + 9*i + 85. Is b(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58.1 - -0.3. Let t = 27.4 - o. Which is the fourth biggest value? (a) 2 (b) 0 (c) t (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 2. Let f = n + 22.9. Let c = f - 0.3. What is c rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 802.\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4214 + 4006. Suppose -11 = 5*c - 21, 5*c - w = -2*x. Calculate the greatest common factor of 50 and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 3326.\nAnswer: 5\/1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 23*r + 19. Let d be q(-5). Solve -5*k = -d*u - 37, 2*u + 3*u - 10 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -3, -17, -33?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2) - (-2 - (0 - -2)). Suppose -k*y - 611 = 4*n, 4*y - 170 = n - y. Let m = 275 + n. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2238, 4479, 6722, 8967, 11214, 13463, 15714?\nAnswer: 17967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3869 - 3029. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -3, 2\/9, 5\/4 in descending order.\nAnswer: 5\/4, 2\/9, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0660432 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -4521?\nAnswer: -1\/4521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 6\/79265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5\/1)\/(21\/1386*154)\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((14\/(-2) - -4) + 3)\/(-2). Which is smaller: l or -10\/33?\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by (-8 - -14) + -10 + -3 + 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000070239 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 z when three letters picked without replacement from ccdcdzdcccdcddwc?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2482082 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28719, 57437, 86151, 114861?\nAnswer: 143567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3377335 times -0.3?\nAnswer: 1013200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27864 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/102 + 9\/((-54)\/(-4))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 33*f - 114349. Give g(-165).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 928223302 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680089 and 488?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3328)*-1.\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/4 + 7*b**4\/4 + 3*b**3\/2 - 17*b**2\/2 - 53*b\/4 - 21\/4.\nAnswer: -(b - 7)*(b - 3)*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.35 - 101.65. Let r = i - -96.96. Let s = r + 0.04. What is the biggest value in -3, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 436849 and 62407.\nAnswer: 436849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:02 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - (-2 - (-9 - (0 + -5)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-266)\/(-57))\/((3\/(-18))\/1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -7 in ascending order.\nAnswer: -7, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {q: 2, n: 6, i: 1, m: 1, v: 10}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)*z**(-6))**(-1\/13))**(-3\/2) assuming z is positive.\nAnswer: z**(-66\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 462 - 654. Let i be (-8)\/2 - o\/40. Let q = -20.96 + 19.96. Which is the second smallest value? (a) 0.5 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 870438245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4552589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.5122764 to one dp.\nAnswer: -100.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48751?\nAnswer: 48751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 q when four letters picked without replacement from {q: 2, r: 1, f: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56899014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 27274?\nAnswer: 1\/13637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14566, -29131, -43696, -58261, -72826, -87391?\n\"Answer: -14565*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 13)*1\/1. Let p = 27 - n. Suppose -5*v - p = -5*a - 4*v, -3*v + 12 = 0. What is the second smallest value in a, 6, -1\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*y + 165*y + 96 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 4*t + 154 = 0. Calculate the greatest common factor of t and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - (-4 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 4.51, 0, -2, -1 in increasing order.\nAnswer: -2, -1, -1\/10, 0, 4.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*x - 268 - 677 = -189*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t + 26*t - 14*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -286*b**3 + 5*b**2 - 18*b + 27. Let z be m(3). Which is smaller: -7703 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 18362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 3\/16, 101, 59?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 0.074, -1 in increasing order.\nAnswer: -1, 0.074, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s**(-9)*s*s)\/s)\/(s*s*s**(-2)*s))\/(s**(-1\/2))**50)**(-3\/5))**38 assuming s is positive.\nAnswer: s**(-1824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/60 + 0)*(-845)\/2535.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/9 - 16\/(-72). Suppose 2*n - 4*f = 124, -2*f + 6*f = -o*n + 146. Let c = -35 + n. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 19*i = -12. Is 183\/i + 5\/((-5)\/3) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 1*sqrt(500) + -5))**2.\nAnswer: -80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/(-42)*0)\/2 - -5. Solve 5*i = -a*m + 45, -4 = -i - 0*i for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (52\/5)\/((-3)\/(-5)) and 8\/(512\/(-216)) + (-1 - -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-13)\/(-14) + -1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 2:25 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 12166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.77*-0.05\nAnswer: 0.1385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/38248 and 27\/9370760.\nAnswer: 9370760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 59, 82, 123, 188, 283, 414?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -469934.8 times -0.5\nAnswer: 234967.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 4. Let i = b + 6. Which is greater: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9997415?\nAnswer: 5, 673, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 116516.633 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736026?\nAnswer: 2, 271, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86505700 rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4 - 3*f**2 + f + 13. Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 7*l = 44. Calculate the remainder when l is divided by 10*(1\/(-2) + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9) - 5\/((-75)\/55). Suppose 159 = -d*j + 147. What is the third smallest value in j, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -2. Let s = h + 121\/5. Let j = 0.7 - 3.7. Which is the smallest value? (a) -1 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -10*i - 10. Let n(j) = j - 1. Let k(z) = a(z) + 8*n(z). Calculate the lowest common multiple of 22 and k(-18).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -5*x + 161, 61*x - 57*z + 46 = 26*x + 36*x - 59*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -1.2. Let l = 0.2 + -1.7. Let u = l + 2. What is the biggest value in m, u, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 61.04. What is the third biggest value in q, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2166*m + 530 + 526 - 1056 to i + r*m and give r.\nAnswer: 2166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {s: 1, w: 1, n: 1, c: 3, h: 4, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32190)\/(-35) - (2 - (-128)\/(-56)) a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 - 5*j + 6. Let n = -91 + -60. Let d = -157 - n. Determine s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1848 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/6 and ((-16)\/(-300)*-3)\/(3\/95).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**3 + 6*u**2 - 7*u - 1. Let p(j) = -2*j**3 - 4*j**2 + 5*j + 1. What is -7*p(f) - 5*r(f)?\nAnswer: -f**3 - 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6255.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5971*z**2 - z - 5970*z**2 - 11 + 1. Let k be y(-5). Solve 5*o + 2*l + 2*l = 20, 4*l = k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7366147986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 17. Let d = c + 12. Which is smaller: d or 1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 0.3. Let p = 0.3 + -0.1. Let j(r) = -r + 9. Let n be j(7). Which is the nearest to w? (a) n (b) p (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136250 and 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4.8 (b) -35.86 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -145a2?\nAnswer: 145a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 4. Let g be v(3). Let i(n) = -3*n**3 - 3*n**2 - 1. Let x(m) = m**3 + m**2. What is g*i(b) - 4*x(b)?\nAnswer: -b**3 - b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + 3763*x - 7505*x + 23 + 3744*x - x**2 as i*x**3 + v*x**2 + n*x + u*x**4 + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3124376833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 68, 80, 96, 116, 140?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 - -0.22. Let n = a + -0.39999904. What is n rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 19281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.12*-3\nAnswer: 6.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3356270, 6712609, 10068948?\n\"Answer: 3356339*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 19*s. Let k(b) = 39*b. Let p(y) = 2*a(y) - k(y). Let x(z) = 15 + 0*z**2 - 2*z**2 + 45 + 6. Calculate x(p(l)).\nAnswer: -2*l**2 + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 7:17 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 738573 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14324, 14309, 14272, 14219, 14156, 14089, 14024?\nAnswer: 13967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w - 5*o, -2*o - 6 = 5*w - 10*w. Let q = w - 1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (0 + sqrt(2) + 3 - ((sqrt(2) + 2 - sqrt(2)) + 3) - ((sqrt(162) - (sqrt(162) + -2)) + -2)*3))**2.\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49926787.\nAnswer: 947, 52721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 33. Suppose 0*f = -2*v + 4*f + 2, 0 = 2*f. Let j = v + 25. Calculate the remainder when j is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (7 - -2) - 3*-3. Let a be (-12)\/((-325)\/(-55) - f). Round a to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -23*z**2. Let k(f) be the second derivative of f**4\/6 - 3*f. Give k(m(l)).\nAnswer: 1058*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 11*m**3 - 9*m**3.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -952 + 1533. Factor t - 5*x**2 - 285*x + 292 - 1153.\nAnswer: -5*(x + 1)*(x + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1395 + 2143 - 5*d + 19*d - 3538 - 14*d + 21*d**2.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 2*z + 3*x - 11295, 0 = 4*z - x - 23160. What are the prime factors of z?\nAnswer: 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 2)\/(-3)*9. Is 3 a factor of 0 + (1 + z - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 13*r - 250 = 0. Let o = r - -62. Solve -4*a + c - o = 0, -c - c = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883062957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (339 - 378) + (-2 + 14 - (1 - 2)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 2578666 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*4*(-14634)\/4336\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b290b (base 13) to base 6.\nAnswer: -10505533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 690178094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1430 and 198250?\nAnswer: 2180750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14206 is divided by 490?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 3*c - c)*(2 - 32*c**2 - 4*c**4 + 32*c**2).\nAnswer: -8*c**5 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**3\/3 - 429*j**2. Let r(g) = 0*g + 6 + g - 2*g. Determine -6*a(w) + 2*r(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -2 - (0 - -1). Let b(n) = a - 5 + 4*n**2 + 0 - 3*n. Let f be 5 + -4 + 0 - -3. Let t(y) = -5*y**2 + 4*y + 5. Calculate f*b(p) + 3*t(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 4:56 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241 - 535. Let h = x - -567. Calculate the highest common divisor of 39 and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + 4 + -5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39*s**3 + 76*s**2 - 76*s**2)*(-10*s + 18*s + 8*s)*(2 + 2 - 2) in the form v*s**2 + b*s**3 + i*s + l + f*s**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**2 - 8*k**2 + 2*k**3 - 36*k**3 + 2*k**2 in the form z*k**3 + a*k + w + j*k**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 26, 3 in ascending order.\nAnswer: 3, 9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -2, 4, 5 in decreasing order.\nAnswer: 5, 4, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2011, 8051, 18089, 32101, 50063, 71951, 97741?\n\"Answer: -4*z**3 + 2023*z**2 - z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.6, -1\/4, -1, 0.02, 2\/11, -1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-18))\/(3*4\/(-24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a + 6. Let g = -8 - -3. Let f(x) = 16*x + 7. Let k(p) = g*f(p) + 6*t(p). Give k(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6727133, 13454266, 20181399?\nAnswer: 26908532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34126*x + 17046*x + 17043*x - x**2 to m*x**2 + w + l*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p - 5 - 6*p**2 + 0*p**2 + 11*p**3 + 2 + 2*p**2 - 2. Suppose 4 = -h, 2*t - 37 = h + 23. Calculate the remainder when b(2) is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 1247 = -28*q - 25*q. What is the highest common factor of 3625 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -26*p**3 - p**2 + 6*p. Let m be h(2). Let l = m + 564. Is l a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + o - 1. Let z be s(2). Suppose -4*a - 9 - 4 = i, 0 = 5*i + 4*a + 1. Let p = z + i. Solve p*d - 5 = 2*d + 3*c, -c + 7 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10915*l - 23776 + 23776)*(1 - 1 - l) to z + v*l + r*l**2 and give r.\nAnswer: -10915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60636, 121413, 182190, 242967?\nAnswer: 303744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200020310 (base 6) in base 5?\nAnswer: 1330040223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12168468.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t - 7. Let g(s) = s**2 + 3 - 2*s**2 + s + 3. What is 6*g(k) + 5*x(k)?\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*9)\/((180\/(-160))\/(15\/(-220))).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4809, -19257, -43341, -77061?\n\"Answer: -4818*h**2 + 6*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 466284197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222467054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2 = 9*k, 3*d - 345*k + 342*k = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4.5. Let p = 12 + -13. Let h be (3 + -1)\/((-6)\/p - 7). Which is the nearest to 0? (a) h (b) o (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2504, 20720, 70762, 168734, 330740, 572884, 911270, 1362002?\n\"Answer: 2684*w**3 - 191*w**2 + w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1117*v**2 - 188*v wrt v.\nAnswer: 2234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*d + 396*d - 48 = 171*d. Let h = 1 - -9. Sort d, 4, h, 5.\nAnswer: d, 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1460 and 1022?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50512, 50511, 50502, 50479, 50436?\n\"Answer: -k**3 + 2*k**2 + 50511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3583\/5 + -716. Which is the nearest to 0? (a) -4 (b) h (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7017122 a multiple of 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4424636, 8849271, 13273906, 17698541?\n\"Answer: 4424635*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -27, -100, -225, -414, -679, -1032, -1485?\nAnswer: -2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**4\/3 + 13*k**3\/6 - 3*k**2. What is the first derivative of f(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -0.3 in decreasing order.\nAnswer: 3, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 3. Let c be b(0). Suppose 210*f + 398*f = -164*f + 6948. Solve c*s - 21 = -f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10164*w**2 - 3 + 3 + 3484*w**2 to the form h + a*w**2 + b*w and give a.\nAnswer: -6680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((5 - 0) + -3). What is the biggest value in -3, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h**2 - 6*h + 107. Calculate the lowest common multiple of n(0) and 2140.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fds when three letters picked without replacement from dsf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2. Let o(g) = 36*g**2 - 9*g - 9. Let n(h) = -18*h**2 + 5*h + 5. Let u(d) = -9*n(d) - 5*o(d). Calculate u(v(f)).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65513311*v**4 - 4*v**2 - 467*v + 871?\nAnswer: -1572319464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170*9\/72*135\/(-225)*32\/(-6)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 17 (b) 0.07 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let v(h) be the first derivative of -h**4\/4 - 27*h**2\/2 + 14. Let i(w) be the second derivative of v(w). Calculate l(i(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*j + 30, -j - 4*j - 5*t = 10. Suppose -f = -j*h + 2, 2*f - 20 = 7*f. Let c be (h - -10)\/((-5)\/(-15)). Round c to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f**2 - 9*f - 11*f + 33*f + 1 + 8*f**3 - 17*f. Let z be q(12). Let d = -328323\/26 + z. What is the common denominator of d and 9\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12 + 113*s + 30*s**2 - 34*s + 6562*s**6 + 39 - 79*s wrt s.\nAnswer: 787440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.3 * -15844.\nAnswer: 131505.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 7. Let c be q(5). Let x be (6\/(-4))\/((-1)\/(-2)). Let d be (7 + x)\/(2\/1). Solve c*g + 14 = 2*t - 3*g, -3*g - 10 = -d*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 20*d**2 + 40*d - 62. Let p be c(18). Let l(x) be the third derivative of 11*x**4\/12 + x**3\/6 - 3*x**2. Is l(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(2 - 45\/3). Let g = 16 + t. Let j = g + 20. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*sqrt(98))**2.\nAnswer: -210*sqrt(2) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32 - 5265\/(6345\/47)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.4, -0.6, 31, 53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 7*u + 19*u = -24*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -228 + 445. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/20 - 4\/(-20)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 2*p - 2. Let k(l) = l**2 - l + 1. Let s(n) = -3*k(n) - 2*o(n). Let q = -1 + 0. Let t be q\/(2*2\/(-12)). What is s(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*w + 325*w - 918*w + 275*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6*4)\/(10\/(-15)). What is the highest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -157.\nAnswer: 1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 0.3, -2\/3, 0.05, 174\/13, -9?\nAnswer: 174\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23996570.8878 - -23994280. Let k = x - -2281.8877995. Let q = k + 9. Round q to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1396, 598, -236, -1124, -2084, -3134, -4292?\nAnswer: -5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*i + 2*i. Let j be (-9)\/45*(i + -1 + 0). Factor -6\/5*p**2 + 0 + 3\/5*p**3 + j*p.\nAnswer: 3*p*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 - 9*k**2 - 9. Let r(y) = -y**3 + y**2 + 1. Calculate -o(l) - 6*r(l).\nAnswer: 4*l**3 + 3*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12778 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*((x**(1\/2)\/x)\/x)\/x)\/(((x\/x**2)\/x)\/x)**(2\/25))**21 assuming x is positive.\nAnswer: x**(-2373\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 186\/(-27) + 47\/(-423)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(1053)*2 - sqrt(1053) - sqrt(1053) - sqrt(143)\/(sqrt(11) - 1*(1*sqrt(11) + sqrt(11)))) + -3).\nAnswer: 6 + 106*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260212 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*r + 3*j - 1, 5*r - j = 32. Suppose 3*m + 15 = r*m. What is the lowest common multiple of ((-4)\/m)\/((-3)\/30) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*i**4 - 14*i**4 - 6 + 2*i - 11*i**4 wrt i?\nAnswer: -492*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and 0.45.\nAnswer: 0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3 + 5, -u = -2*c - 218. Let y = c - -259. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 4. Let v be o(-4). Let a(l) = -2*l**3 - 2*l**2 - 3*l - 2. Let b be a(-2). Let r be 92\/147 + b\/(-18). Is r bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(162) + 1)*2 - 2*sqrt(162)*5)*-4.\nAnswer: -6 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/2 - 155*s\/2 + 1572 = 0.\nAnswer: 24, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 57*m**4 - 7*m + 2*m**3 - 48*m**4 + 6*m to the form o*m + u*m**2 + q*m**3 + a + x*m**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa - 1?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0784 and -0.3.\nAnswer: -0.02352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**7\/30 - 3*b**4\/8 + 6*b**2 + 9. Let f(m) be the second derivative of j(m). What is the second derivative of f(o) wrt o?\nAnswer: 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n**3 - 1 + 1)*(-2 + 1 + 0) + 2 - 2 - n**3)*(-2*n**2 + 0*n**2 + n**2).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 313366823 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165204 (base 7) in base 14?\nAnswer: c074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -218, -217, -216, -215, -214, -213?\n\"Answer: z - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 349, -3, -154 in decreasing order.\nAnswer: 349, -3, -4, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/o)**22\/((o\/(o*o**(-16)))\/o**(3\/7)) assuming o is positive.\nAnswer: o**(-1097\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 18 = 2*r - t, 4*t = -8. Let b = r + 14. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/(-99) - ((-864)\/(-6804) + (-24)\/(-252))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4460176 and 40141584.\nAnswer: 40141584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4926651 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1308.118 to the nearest ten.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -469262 and -1.8.\nAnswer: 844671.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 5*b**3\/3 - 5*b**2 - 6*b. Let s be 9\/21 + (-109)\/(-7). Let u(h) = 0*h + 2*h + 0*h - 2. Determine s*u(a) - 3*n(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189512.\nAnswer: 2, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 106 + 127 = -90. Let v = -4\/3 - -2. What is the biggest value in v, -5, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) - sqrt(190)*-1)*-3) + sqrt(190))\/(((sqrt(10) - sqrt(40)\/sqrt(4)) + sqrt(10))*-6))**2.\nAnswer: 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*t = 425*t - 28*t + 66993. Are -9 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 39*h**2 - 242*h + 218. Determine l(-10).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*k + 25 = -6*k, -5*u = 5*k. Let x be u\/60*(-16)\/(-4). Which is the biggest value? (a) x (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 15 = g, 0 = 3*d + 956*g - 960*g - 16. What is the nearest to 2\/85 in d, -0.5, 1, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/110 and 27\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22698 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635212497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9585432 is divided by 3943?\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let l be 1 + m - (2 + -6). Solve 2*s = s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/600*(-175)\/20 - (98\/4 - -2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4545*h - 1165. Does 88 divide c(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30269 is divided by 15055.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.29 and 77.288.\nAnswer: 76.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 38*j - 47. Let k be p(-7). Calculate the highest common factor of k and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -37. Suppose -3*n + 2*c = -15, -5*n + k*c + 2 = -27. Suppose 10 + 11 = n*v. Calculate the greatest common factor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -260*o**4 + 5979 with respect to o.\nAnswer: -1040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72.404655 - -1.598445. Let y = x - 74. What is y rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*o + 3*z - 2275, -5674 = -5*o - 3*z. What are the prime factors of o?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 75\/(-6)*8\/(-10). Suppose d = 5*x - 15. Suppose -x*q - 7 = -y - 25, -3*y + 6 = 0. What is the third smallest value in -0.1, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331949 (base 10) in base 5?\nAnswer: 320110244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-1218040)\/(-150) + (-16)\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Calculate the least common multiple of h and (-1445993)\/(-2942) + (-18)\/(-4).\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**5 - 3*i**4 + 3*i**4 + 123*i - 123*i + 15*i**5 + (-i**2 + i**2 - 3*i**2)*(-2*i + 2*i - 2*i**3).\nAnswer: 25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 7148372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19963, 19930, 19897, 19864, 19831, 19798?\nAnswer: 19765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 520 + 5528 = 0. Let i be q\/(-104) - (6\/(-2) + 8). Which is the biggest value? (a) -20 (b) 4\/5 (c) 2\/19 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 + 1 + 0 - 7*x**3 + x**2 - 2*x**2. Let l = -3 - -2. List the prime factors of g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**3 - x**2 - 3*x. Let r(k) = 4105*k**3 - 4852*k**2 + 4*k. Let h(t) = q(t) + r(t). What is the third derivative of h(v) wrt v?\nAnswer: 24588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 86. Sort -2\/5, 0.2, d, -0.3.\nAnswer: -2\/5, -0.3, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/2 - (-16)\/(-24). Let f = -2 + 2. Do f and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -748965, -1498029, -2247091, -2996151, -3745209, -4494265?\nAnswer: -5243319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 21, 10, -27, -102?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)**13\/((c\/c**(-2\/11))\/c)**23 assuming c is positive.\nAnswer: c**(240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7332656, 7332654, 7332652, 7332650, 7332648?\n\"Answer: -2*i + 7332658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -1011111111010000?\nAnswer: -1011111111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*y**4 - 75154*y**3 + 151854*y**2 - 78846*y + 1996 = 0. What is y?\nAnswer: 2\/75, 1, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3698*s**3 + 303230*s**2 + 6215846*s - 10086 = 0 for s.\nAnswer: -41, 3\/1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104, -86, -56, -14, 40?\n\"Answer: 6*g**2 - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -764, -2462, -5764, -11204, -19316, -30634?\nAnswer: -45692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-9)\/3 - -1. Suppose -2*x = k*x - 15. What is the tens digit of (-224)\/24*x\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 2. Let z be 1*(1 + 1 + 122). Suppose -3*q + z = 1. Calculate the remainder when q is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010110001011000010 (base 2) to base 8.\nAnswer: 3261302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.8136 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/70)\/((-24)\/(-20))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:12 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = 0. Let a(h) = n*h + h - 4*h. Let s(o) = -11*o - 5. Let i(c) = 6*c + 3. Let j(f) = -5*i(f) - 3*s(f). What is j(a(r))?\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -535 (b) 1\/6 (c) 2\/11 (d) 4 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o - 46*o = 988130. Round o to the nearest one thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbi when three letters picked without replacement from {r: 2, i: 1, g: 4, e: 1, b: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 192674804 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18611 + -18608. Let t = -3 + 2. Put -7, 1, t, d in increasing order.\nAnswer: -7, t, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 36. Let c(t) = -6*t**2 - 6. Let o(p) = -p**2 - 1. Determine h*c(j) + 34*o(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 2, b: 1, t: 6, a: 1}. Give prob of picking 1 t, 1 a, and 1 q.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14996398 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113077279?\nAnswer: 263, 4232233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 5. Let w(p) = 3*p - 3. Let f(c) = -9*c + 10. Let r(d) = 3*f(d) + 8*w(d). Let g(n) = 5*r(n) - 6*t(n). Calculate g(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a centimeter in millimeters?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2165670890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.5 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdmqdmei. Give prob of picking 1 e and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2671136 and 0.1?\nAnswer: 2671136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 23*x**2 - 12*x + 14. Let g be m(-4). Let i = -268 + g. What is the greatest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 - 1274 = 12*q. Sort 21, 5, q.\nAnswer: q, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*a = -13, 2*l + 30 = 5*l - 3*a. Calculate the remainder when 357 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2165 and 11691?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-1)\/(-8)*2. Let t = -1363\/13 + 105. Which is the smallest value? (a) t (b) -1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 6*j - 6. Let c be n(4). Suppose 3*h - c = 2*z + 2*z, 3*h = 2*z - 2. What is the units digit of 6 + 0 - (-2 - z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1140 - 1127. Let f(r) be the third derivative of r**5\/20 - r**4\/12 - r**3\/3 + 23*r**2. Let o(m) = m**2 - m - 1. Calculate b*o(a) - 6*f(a).\nAnswer: -5*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 5. Let g(u) = -u - 4. Let a(f) = 5*g(f) - 4*v(f). Let l be 40\/7 + (-4)\/(-14). Let q(n) = -3*n + l*n + 1 - 1. Determine a(q(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + -4*7\/42. Suppose d*y = 3*y - 2*u - 26, 0 = 3*y - u - 25. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4094*g = -4130*g - 396 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 136 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1490, -2982, -4474?\nAnswer: -5966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - ((78 - 80) + 34)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s - 2 = 2*t, 4*t + 2*s = -14. Let m(r) = 2 + 0 - r + 3. Let n(g) = 771 + 532 - 1309 + 2*g. Calculate t*m(q) - 5*n(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -8. Let k = 13.3 - z. Which is the biggest value? (a) -0.4 (b) 0.9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = -2. Let r(k) = k**3 + 6*k**2 + 7*k - 2. Let c be r(-5). Let b = f - c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 63*q**3 + 5228*q**2 - 86*q - 243. Give n(-83).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/61743 and -58\/308715?\nAnswer: 308715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.305 - 36.495. What is q rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g - 5. Let j(l) = -9*l - 14. Let x(d) = -2*d**2 + 9*d. Let n be x(4). Determine n*j(i) - 11*p(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143) + sqrt(143)*-4)*1 - (sqrt(143) - ((sqrt(143) - 5*2*sqrt(143)) + sqrt(143))))\/((sqrt(880)*1)\/(sqrt(80)*2)).\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 2.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u - 4*a + 26 = 0, 0 = -3*u + a + 11. Suppose u*x = -i + 16, 4*x = -5*i + 36 + 23. Let g = -8 + i. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.92 and 367514?\nAnswer: 338112.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141 - -143. Suppose -v*i - 10 = 0, -3*t - 5*i + 75 - 16 = 0. What is the highest common divisor of 21 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and -0.12.\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 + 29*u + 16. Let k(y) = -2*y**2 - 7*y - 4. Let d(l) = 9*k(l) + 2*w(l). Calculate d(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21845038331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 89*y - 513. Does 42 divide x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:27 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-6 - -11) + 4 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from lkvskvllvqk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5246283 is divided by 8586?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 39. Let i be 23 + 180\/(-9) + (4\/4 - -16). What is z(i)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.5 + 10.9. What is the second biggest value in -1, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4 + 1810*c**3 + 128715*c**2 + 126900*c = 0. Calculate c.\nAnswer: -60, -1, 0, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 minus -366.772?\nAnswer: 367.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aolallllddddll. Give prob of sequence dlo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*y - 4*z + 18, 0 = -2*z + 10. Let t(x) = x - 4. Let f be t(4). Sort y, f, -2 in descending order.\nAnswer: f, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (111307\/(-14))\/(11\/(-22)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0645 + -0.064499347. What is z rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z*z**(2\/7))\/((z**6*z*z)\/(z\/z**1)))**(-4\/7) assuming z is positive.\nAnswer: z**(160\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3 + -47.7. Let d = 2534 + -2576.8. Let n = s - d. Round n to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23305933 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: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*-2 + 3 + (sqrt(156) - sqrt(156)*-2)\/sqrt(12) + (sqrt(13) - (1 + sqrt(13) + 1 + sqrt(13) + sqrt(13)))**2 + sqrt(13).\nAnswer: -4*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7635 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-51)\/9)\/(10\/15). Solve -2*a = -4 - z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*q - 22 - 24*q**2 - 32*q with respect to q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11074\/2 + (48 - 26) + -22?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 11*k**2 + 9*k - 5. Let d be j(-10). Suppose 3*t + 0*y - 46 = -4*y, d*t = 3*y + 125. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10668352 and 21336704.\nAnswer: 21336704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**2 + 11*m + 3 - 11*m in the form f*m**2 + a + x*m and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 216, 1233, 3852, 8871, 17088, 29301, 46308, 68907?\n\"Answer: 133*o**3 + 3*o**2 + 77*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**4 + 158*x**3 - 702*x**2 + x + 4*x - 7 + 4*x**5 + 5 - 153*x**2 wrt x.\nAnswer: 240*x**2 + 24*x + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 55. Let p be (-21)\/((-10)\/36 - (-3)\/18). Calculate the highest common factor of p and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 2*v + (6 + 1 - 4)*(-1 + 3*v + 1))*(-3*v**2 + 10*v**2 - 4*v**2).\nAnswer: 33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 16. Let n(m) = -2*m - f*m + 9*m - 1. Let u(h) = -5*h + 4. Determine 6*n(v) + u(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/18 - (175840\/126)\/(-16) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15830271417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -1, -235, -7 in descending order.\nAnswer: 3, -1, -7, -9, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 take away -2830589?\nAnswer: 2830588.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 2*f**2 - 4*f - 4. Let g be r(-3). Does 14 divide (g\/(-2) - (-1023)\/18)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -581*r**2 - 238*r + 75599 wrt r.\nAnswer: -1162*r - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 428053753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (184\/156)\/(-2) + 32*16\/768\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 11*p**4\/4 + 2*p**2 - 3*p - 16. Let f be a(2). Let v = 96 - f. Solve -4*q - 4*r - 8 = 0, -5*q + 23 = -5*r + v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2068 and -72604.\nAnswer: 15014.5072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2976 divided by -4?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -128. Calculate the greatest common divisor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*w - 8, 0 = -2*a - w + 3*w + 4. Suppose -a*c = -143 - 289. Suppose -3*d = 3*d - c. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5930 divided by 5930?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 7. Is 22 + (l\/(-1) - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (8 + (7 - 0) - (-9 + -1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 4 + 4*f - 5*f. Suppose -9*v + 12*v = 30. What is the least common multiple of v and m(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1248\/7429 in 1, 5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23270112 is divided by 3879.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4. Let h(y) = -165*y - 10. Give 3*a(j) + h(j).\nAnswer: -165*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/105 smaller than -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8470 = 216*f - 18870 - 12064 for f.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*s - 0*s - 25, -4*i + 3*s + 5 = 0. Solve 29 = -3*n + 5*n - i*j, 0 = 2*n - 4*j - 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017933 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 39*g**4 + 357*g**3 + 1692*g**2 + 1962*g + 618. Let a(h) = 10*h**4 + 89*h**3 + 423*h**2 + 491*h + 155. Let r(u) = -15*a(u) + 4*c(u). Factor r(z).\nAnswer: 3*(z + 1)*(z + 7)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8426 + -84353\/10. Calculate the common denominator of h and 50\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 b, and 1 a when four letters picked without replacement from {b: 1, r: 3, a: 3, l: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159 + 657 + 39)*(4*c**5 - 2 + 0*c**5 + 4*c**3 - 2*c**5).\nAnswer: 1074*c**5 + 2148*c**3 - 1074","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1148, 0.35, 4\/7?\nAnswer: -0.1148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 51, 261\/4 in decreasing order.\nAnswer: 261\/4, 51, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -7. Let t be 2*1\/((-2)\/(-51)). What is the units digit of t\/6 + q\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**3 + x**2. Let t be g(2). Suppose 17*p = 16*p + 16. Let i = t - p. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-33)\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b**(2\/9))\/b)*b**(-6)*b)\/(b\/b**(-6)*b**(-2\/5)\/b*b))\/(((b**1*b)\/b)**(-17\/5))**(-7) assuming b is positive.\nAnswer: b**(-1558\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 1 + 1)*(43869*u + 47061*u - 94927*u + (2 + 1 - 2)*(-u - 2 + 2) - 2*u - u + u) in the form w + s*u + z*u**2 and give z.\nAnswer: 8000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**0\/c)\/c)\/c**(-1\/9))\/(c**(-2\/3)*c*(c*c\/c**(-4))\/c*c))\/((c\/(c\/(c\/c**(-2)))*c)**(-24)\/(c*c**(1\/3))**(-2\/43)) assuming c is positive.\nAnswer: c**(33946\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 18*l**2 + 44*l - 41. Let c be h(18). Let m = -745 + c. Solve -m*b - 4*b = -40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 17, 36, 71, 128?\n\"Answer: h**3 - h**2 + 5*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*n - 68, -y = -0*y + 5*n - 100. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/o**(-4))*o*o)\/o)\/o)\/o**(6\/13))**(-27) assuming o is positive.\nAnswer: o**(1566\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 10*x**3 + 5*x**2.\nAnswer: 5*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2234 + 5?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-121)\/(-33))\/((-2)\/6). Suppose 5*w + i*f = 1324, 3*w - 517 = w - 5*f. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 36 = -16*b - 8*y, 2*b = 2*y + 24. Let r = 8 - 11. Let n be 1\/r + 67\/3. Calculate the highest common factor of b and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/29)*b\/b**(-2\/31)*b*b*b\/b**(1\/26)*b*b*b*b\/((b\/((b*b\/b**(-1\/3)*b*b*b)\/b)*b)\/b) assuming b is positive.\nAnswer: b**(791707\/70122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {x: 4, w: 1, c: 10, e: 3}.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -17, 2, 30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (48\/2)\/(6\/4). Let t(v) be the first derivative of v**3 - 4*v**2 + 8*v - 9. Let y be t(4). Calculate the highest common factor of p and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j - 1. Let f(g) = -3*g**3 - 5*g**2 - g - 6. Determine -f(a) + 6*m(a).\nAnswer: 3*a**3 - a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 163399975 = 5*q, -2*h + 0*q + 163399990 = 2*q. Round h to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163846794 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/7 + 22*h**4\/7 - 18*h**3\/7 - 422*h**2\/7 + 800*h\/7 - 384\/7 = 0.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s + 89987 = 91505 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 268335 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -144, -137, -186, -297, -476, -729?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z**5 + 1640*z**4 - 45895*z**3 + 57770*z**2 + 15660*z - 29160 = 0. What is z?\nAnswer: -2\/3, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12443 + -8707. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*o - 1465 - 3171 = 0 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -320 + 777. Let t = -417 + r. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.93 (b) 5 (c) 2\/47 (d) 1 (e) 0 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-9)\/24*(736\/24)\/(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1963 (base 13) to base 10\nAnswer: 3799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let m(a) = 11*a**2 - 8*a + 1. Let x be m(4). Let r(s) = 138*s**2 + x*s**2 - 287*s**2. Calculate f(r(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 760 and 475.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2 + 0*w**2 - 6*w - w**2 - 6. Let g(q) = q**3 + q**2 + 2*q + 3. Let i be g(-2). Let p be h(i). Which is the nearest to -1\/5? (a) -0.1 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*n**2 + 318*n - 83*n - 22*n**2 - 167*n wrt n.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 124*d**3 - 107*d**3 - 1 + 215*d**3 + 4.\nAnswer: 232*d**3 - 5*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*w)\/(w\/(w*w**(-5))))**(-18\/5)*w**(-12)\/(((w**(2\/5)*w)\/w)\/(w**4*w*w*w)) assuming w is positive.\nAnswer: w**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t - 5*q, -12 = -3*t - q + 4*q. Suppose 2*a - 39 = t*a. Let x = a - -102. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 951 - 281 - 1084.\nAnswer: 8*o - 2316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866.7669 kilograms to nanograms.\nAnswer: 866766900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -1\/4 (c) 1 (d) 0.609 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818 - -4*35\/(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -68294798.\nAnswer: 5\/68294798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -64. Suppose 4*m - 136 + p = 0. Is 0 + 2*-1 + m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1404 and 59\/260.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 + 9\/2. Let a(z) = 5*z**2 + 3*z. Let l be a(j). What is the remainder when l\/18 - (-16)\/72 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 7. Let i be 492\/15 - j\/20. What is the greatest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**4 - 6*k**2 - 4*k + 4. Let x(a) = 6*a**4 - 7*a**2 - 5*a + 5. Let w(v) = -5*f(v) + 4*x(v). What is the third derivative of w(t) wrt t?\nAnswer: -144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -33, -5 in ascending order.\nAnswer: -33, -7, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4906521 is divided by 2453167?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 316*h**3 - 2*h**2 - 1631.\nAnswer: 948*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2\/9*n**4 - 26\/3*n**2 - 34\/9*n + 76\/9 + 34\/9*n**3 = 0.\nAnswer: -19, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.8 - -3.2. Let h = -8.0007 + z. What is h rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 2*w**2 + 2*w - 5. Suppose -13 = -j - 3*y, -2*y = -2*j + 2 - 0. Let p be t(j). Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - k + 1. Let h be m(-2). Suppose 2*s = h*s - 55. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - (-5 - -1)) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t + 2*t + 0*t)*(6 - 5 + 1).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18800087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from vvqvffvqfvfvvvqq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 12. Suppose -9*r = -5*r + 8. Calculate the smallest common multiple of 20 and c(r).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -584647 + 4102103\/7. Let b = 1365 - t. Let l = -515 - -5690\/11. Calculate the common denominator of b and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1087*c - 9 + 9 - 66*c.\nAnswer: -1153*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 f when four letters picked without replacement from frmmfmmmmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-69 - -5)\/(-4). List the prime factors of (-90)\/((-125)\/390 + 2\/z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 6 - 4*v**2 - 1 - v**3 + v**3 + v**3 in the form j*v**3 + i + s*v + k*v**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x*x\/(x\/x**(-3)))\/x)\/x)\/x)\/x)\/((x*(x*x**(2\/9)*x)\/x)\/x))**(12\/11) assuming x is positive.\nAnswer: x**(-260\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -1 (c) -13073\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85 (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocee when four letters picked without replacement from {f: 2, c: 1, v: 1, e: 2, o: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/1320 and -43\/126940.\nAnswer: 761640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103607076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 2\/7 (b) 4 (c) -4 (d) 283\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 30\/(-12))*(-24)\/(-7). Let y(s) = 24*s - 144. Is 22 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -m - 406 - 29, x - 159 = 5*m. Suppose x = -8*i - i. What is the hundreds digit of i\/(-88) + (-2416)\/(-22) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-2244)*-396*(-2)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7033, 7441, 8121, 9073?\n\"Answer: 136*c**2 + 6897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -100777, -201070, -301363?\n\"Answer: -100293*f - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) + (-2 - (-155)\/60). Let u(f) = f - 1. Let l be u(2). Which is greater: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5\/3 - 16*o**4 - 35*o**3 + 35*o**2\/3 + 23*o - 9 = 0. Calculate o.\nAnswer: -9, -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 62*j + 11*j**2 - 62*j. Let x(w) = -w**2 + 6. Let v(t) = 4. Let l(y) = -3*v(y) + 2*x(y). Give l(a(o)).\nAnswer: -242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 27*u**3 + 100*u**3 - 33*u**3 - 36*u**3 + 43 - 25 as w*u**2 + v + h*u**3 + l*u and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saxasscoxoaucc. What is prob of picking 1 x and 1 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7139573?\nAnswer: 7, 19, 53681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 + 2017*q\/2 + 1009 = 0. What is q?\nAnswer: -1, 2018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m. Let o(r) = -63*r**2 + 65*r**2 - r + r. Calculate o(n(x)).\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65786 is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 - (-1)\/(-1)*-3. Suppose -11*s + w = -10. Which is the closest to 1? (a) -2\/9 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n - 2*n**5 - 241*n**4 + 241*n**4 + 24*n**5 - 24*n**2 + 24*n**2 + (3 - 3 + 2*n**2)*(-5*n**2 + n**3 + 5*n**2) - n**5 + 0*n + 0*n.\nAnswer: 23*n**5 + 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:43 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 124. Let t be f(28). Calculate the greatest common divisor of 672 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -264.8?\nAnswer: -132.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18\/7 + 61\/21. Let o = 1.585 + 2.415. Put o, 2\/13, k in descending order.\nAnswer: o, k, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2*i**4 - i - 2*i + 0*i**4 as s*i**3 + w*i + h + t*i**4 + x*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*y**3 - 6 - 2 - 14*y**3 + 26*y**3 + 4 to the form r + g*y**2 + i*y + f*y**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5605180 to the nearest 100000.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 23*t**3 - t**2 + 3 - 2 - 57*t**3 + 2*t**2 + 37*t**3.\nAnswer: 3*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2483 - -2516. Calculate the remainder when 2474 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 14*g = -24*g + 5346. Calculate the highest common factor of g and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(5*s**2 - 4*s**2 + s**2)*(-5*s - 185*s**2 + 366*s**2 - 38*s**2).\nAnswer: -572*s**4 + 20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-33 - 23) + 48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3489051945.\nAnswer: 3, 5, 613, 379451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37990 != 37989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578945 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let z be o(-5). What is the second derivative of -5*n + 4*n + 5*n**5 - 4*n**z wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -226, -301, -376, -451?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0762 - 0.0238. Let u = 2.9 + 7.1. Let v = u - 9.82. Is k bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 1. Let q be y(-6). Suppose -q*l = -3*l - 20. Suppose -l*b - 1270 = -5570. Round b to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p + 352. Calculate k(-28).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 2625?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -38 - 27. Suppose 3*n + 3*d = -n + 289, 3*n + 5*d - 214 = 0. Suppose -n = -5*x - 8. Calculate the highest common divisor of c and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1507 + 767 - 174*p + 765. What is the tens digit of k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229256 is divided by 76219.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 163? (a) -3\/4 (b) -152 (c) 0.3 (d) 8 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 2*i**2 + 20 - 4 - 10. Let t be z(3). Let m be (-2)\/(2\/4 + 8 + t). What is the highest common factor of m and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1.3331, -4, -1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**4 + 356595*j**3 - 1069750*j**2 + 713160*j = 0. Calculate j.\nAnswer: 0, 1, 2, 71316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2914*k - 31 = -2912*k - 3*z, 2*k + 5*z = -7 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -1032?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25533679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:22 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:13 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*a*u**4 - 76*a*u + 2*a + u**3 - 2*u wrt u?\nAnswer: 768*a*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -381\/4 + 96. Let d = -5170 + 51779\/10. Calculate the common denominator of d and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12040000 to the nearest one hundred thousand.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 6, h: 1, r: 1, u: 4}. What is prob of sequence rh?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -27*w + 5. Let t = 12 - 10. Suppose -5*c - 4*g = -g + 21, 12 = -c + t*g. Is r(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25785 - -30221. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1432, 1372, 1270, 1126?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 132 (b) 0.4 (c) -88 (d) 2 (e) -6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = 21*k - 24 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -29*s. Let y(m) be the second derivative of -2*m**4 - 3667*m. Determine y(b(p)).\nAnswer: -20184*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3 + 4*v**2 + 2*v**2 + 634*v - v**3 - 313*v - 314*v. Determine u(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 19 = 3*m. Solve 0 = -m*l + 7*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 380877683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -402*m**2 + 4*m - 4. Let v(c) = 805*c**2 - 10*c + 10. What is -5*g(r) - 2*v(r)?\nAnswer: 400*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duduuddudduvuduuvd. What is prob of picking 4 d?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25030 + 25030 - 255*f)*(3*f**3 + f**3 - 5*f**3) - f**4 + 4 - 4 to i*f + r*f**4 + o*f**3 + t*f**2 + c and give r.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 1. What is l(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)\/r)\/(r**(-3)*r)*r\/r**(-2)*r**4*(r**(-3)\/r**(-3))\/(r**(1\/5)*r**(-5\/4)) assuming r is positive.\nAnswer: r**(221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00307236229 rounded to four dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2416.854 years to decades.\nAnswer: 241.6854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/17 - 27981\/(-153) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1356119162.172 and -1.\nAnswer: 1356119161.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 414392 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*p - 8 = 0, 399 = -p + 395. Solve 3*y + 2*f = -2*f - 16, -5*f = c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 450.9819 - 451. What is f rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86.1? (a) -3 (b) 0 (c) -0.06 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.2, 0.43, -572, -2\/67, 5?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63225 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o - 2*o**2 + 26*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 8186 = 2626. What is the second smallest value in r, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 87698048 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 214245 divided by 529?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**3 - z**2 - 4*z + 3. Let q be x(3). Let l be ((-88)\/q)\/((-4)\/(-6)). Is l at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/2 + 11*t - 1\/2*t**2.\nAnswer: -(t - 21)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/2 - 4793*g - 22972849\/2 = 0. Calculate g.\nAnswer: -4793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9*(-2)\/(-10))\/(12\/8). Let i be (-78)\/70*(-10)\/(-8). Let t = 8\/7 + i. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 379\/2 or 191?\nAnswer: 379\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 12 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5493.17 + 5470. Let t = -23 - l. Let v = -0.63 - t. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14870383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1924)\/104)\/((-140)\/(-280)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 14*n**2 + n + 19. Let y be b(-14). Suppose l + 0*l - 2 = 0. Let q = -987 + 987. Sort y, -4, q, l.\nAnswer: -4, q, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -27 (b) -0.1 (c) -1 (d) 0.1 (e) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90851 times 8\nAnswer: 726808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*m - 379*m - 173*m - 2*m + 2*m - m + 4 - 4 + m + (-2 + 3 - 3)*(0*m + 2*m - 4*m) + 3*m + m - 3*m + 2*m + 2*m - 8*m as w + z*m and give z.\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17e - -1?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 3876.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 + 4*a + 1. Let o be c(-4). Let m be (o\/14)\/((-1)\/(-6)). What is the second biggest value in -5, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1312930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 divided by -11?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2905138850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 2, m: 1, n: 1, k: 2, b: 2}. Give prob of sequence lkb.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011101101100 - 10?\nAnswer: -100011011101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 + 0*n**4 - 3*n**4 - 14*n + 180*n**3 + 13*n - 2 + 4*n**4 - 114*n**3 in the form a + m*n**4 + h*n**3 + z*n**2 + v*n and give h.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17087.\nAnswer: 7, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-406)\/(-2) - ((-5 + 9 - 2) + -5). Solve 0 = -60*s + m - 26 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1802 and 93557084?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1395, -4698, -5 in ascending order.\nAnswer: -4698, -1395, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2641 (base 8) to base 7.\nAnswer: 4126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 10. Let h be o(-9). Suppose n + h = 3*q, 0*q + 4*n = q - 21. Factor 6*x**2 - 3*x**3 - 8 + q - 3 + 3*x + 0.\nAnswer: -3*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (16 - (-9 + 31))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691088.7nm to meters.\nAnswer: 0.0006910887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1296 - 951.1296. Let d = -954 - r. Let l = -7 + -5. Do d and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501.3 - 12\nAnswer: -513.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 14 = z - 4*s, -2 = -4*z + 5*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(8\/(-10))*-1. Suppose 0 = -2*s - 0*s + 6. Suppose 2*i = -n - s*i, -2*n + w*i = -30. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:23 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.4 (c) 2 (d) 0.2 (e) -660 (f) 0.6 (g) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/22 and -25\/3752.\nAnswer: 41272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4391613mm?\nAnswer: 439.1613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18655\/(-560) - -41) + -8.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*g - 8*g - 789, 5*t + 4*g - 1923 = 0. Let r = -154 + t. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q - 1. Let r(v) = v**2 - v + 2. Let z be r(2). Let w = 5 - z. Calculate f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196 + -191. Let g = -5\/8 + 33\/40. Let v = -227\/6 - -38. What is the closest to -1 in g, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77924?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -c + 5. Let j be (-17782)\/(-7) + (c - (-48)\/28). Suppose f + 2694 = 4*i, -822 - j = -5*i + 4*f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001011000101101101 (base 2) to base 12.\nAnswer: -129ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 310\/(-15)*(-9)\/6. Let b(m) = 21*m - m + 0*m - w - m**2 + 3*m. Is 3 a factor of b(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -114*p + 71. What is the tens digit of o(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001482692 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.8275 meters to kilometers.\nAnswer: 0.0808275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12001 + 2102?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*j - 4, -3*j - 3 = 4*x - 0. Solve 5*g - 5*p - 35 = x, 4*g - 8 = 2*p + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0*c**4 + 0 - 38\/3*c**3 - 11*c + 1\/42*c**7 + 0*c**2 - 3\/2*c**5 + 0*c**6. Find the second derivative of t(v) wrt v.\nAnswer: 20*v**3 - 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Let s = 4.1 - o. Let l = -8 - -6. Which is the closest to 2\/5? (a) l (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = f - 2, -20*f + 4*b + 16 = -24*f. Let u(g) = 5*g**2 + 13*g - 4. Give u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 0 + (85 - 8) + -110?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2147709152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**2 - 11*f + 4. Let a be p(5). Let w(b) = 16*b + 173. Let x be w(-11). Sort a, 2, x, 4 in descending order.\nAnswer: 4, 2, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 50794358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20307*c + 408672 - 103613 + 1278887 = 0 for c.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63671811.\nAnswer: 3, 7, 41, 73951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -20*d + 11. Give o(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234 + 555 - 190)*(-3 + 2 + 2)*(k - 4*k + 2*k).\nAnswer: -131*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 9 = -9*l. What is the remainder when 55 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 95, 117, 157?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14992111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(9*(0 + 1)) + (-1500063)\/15804.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9917925662935 - 0\nAnswer: 9917925662935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + o + 16 = 0, 5*q = 3*o + 1 + 31. Is 5 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 11154*k. Let g(l) = 7141*l + 1. What is g(c(i))?\nAnswer: -14282*i**2 - 79650714*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0 + 4 + 4 - 1 + (1 + 3 - 5)*(-3 - 1 + 2))*(-4*w**3 + 9*w**2 - 9*w**2) in the form x*w**2 + n + j*w**3 + a*w and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-52))\/((-87)\/(-754))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (201 - (8 - -106)) + -50.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020377961967 to six decimal places.\nAnswer: 0.020378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)*t**(2\/133))**1 assuming t is positive.\nAnswer: t**(272\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/16)*b\/(b*b**10))\/((b*b**(8\/5))\/b**(-5\/6)) assuming b is positive.\nAnswer: b**(-3239\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 11*x + 3. Let p be w(-11). Solve -3*u - 2 + 3 = y, u - 7 = p*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003883 is divided by 939?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 345\/8 (b) 0.5 (c) 91\/2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 8360 = -8162. Calculate the highest common divisor of 342 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 + 4 + (0 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose -h = 1 - 4. Suppose 5*s = h*s + 16. Suppose -27 - s = -5*k. Calculate the highest common divisor of k and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 6. Let n(k) = -4*k + 6. Let s(x) = -4*n(x) - 3*z(x). Let w be s(5). Let l be 1\/(9\/(-2)) - 0. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.001 + -0.001. What is the nearest to i in 0.2, 2\/7, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017464 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 7*h)*(1 - 2 + 0) + (1 + 2 - 6)*(-3*h + 4*h - 2*h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11458324.\nAnswer: 2, 23, 269, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + ((-68)\/(-24) - 2). Let o = 0.18 + 24.82. Let n = -25.07 + o. Is n at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425194029 a multiple of 801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8440, -16974, -25596, -34306?\nAnswer: -43104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 + 0.3. Which is the closest to 2? (a) -1 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.3, -1, -0.3, 1755.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520206147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.373469 and 0.3?\nAnswer: 6.073469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(10)\/(sqrt(6)\/sqrt(3)) - ((sqrt(25)\/(-4*sqrt(5) - sqrt(5)))**2 + -4).\nAnswer: sqrt(5) + 39\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:11 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**3 - 325*b**2 + 2720*b - 1280.\nAnswer: 5*(b - 16)**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1172 + 3419 - 469)*(2*l**2 + 3 - 3) - l + l - l**2.\nAnswer: 3555*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1186146 + -818627. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 188808746 to the power of 1\/2, to the nearest integer?\nAnswer: 13741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/11)*u**(7\/9))**(11\/3))**(-26) assuming u is positive.\nAnswer: u**(-1066\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1417 = 4*o + 517. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 7. Let f be t(-5). Let w(o) = -1 - 2*o - 1 + 11*o**2 + o. Let p be w(f). Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrd when three letters picked without replacement from mmdromooroommrmmrm?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 199c0 (base 16) to base 9\nAnswer: 168801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 419844373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -429184 - -0.2?\nAnswer: -429183.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*c + 4382 + 1178 = -2724 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-1))\/(0 + -1). Let w = -8 - -12. Sort h, w, -4 in ascending order.\nAnswer: -4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 518 = -876. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (-138 - -134).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145916, -145900, -145884, -145868, -145852?\nAnswer: -145836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g**2 + 65*g**2 - 127*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6)\/((-7)\/(147\/(-14)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -51.92 (b) -5 (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 (base 12) in base 11?\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a**2 - 484*a - 279. Give d(49).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:08 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*c = 60, 2472*c - 501 = 135*w + 2476*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165.1 - 165. Let t = 50 + -49.7. Sort t, h, -1\/3 in decreasing order.\nAnswer: t, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -29. Suppose v + 5 = -6*j. Let q be j\/(-3) + (-22)\/(-6). Solve -15 = 3*w + 3*c - 0*c, 0 = -2*w + q*c - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/(-315) + (-2)\/(-9).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r - 9. Let p(x) = -x**2 - 3*x + 10. Let u(a) = -15*a + 18. Let y be u(1). What is y*n(b) + 2*p(b)?\nAnswer: b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 972 + -276. Calculate the highest common divisor of 72 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - 10) + (-4 - -6) + -2 - 5 - -5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21)*(-5)\/(-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.85 - -33.87. Let u = -1.62 - -0.75. Let q = 0.13 - u. Is q equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47911 (base 10) in base 14?\nAnswer: -13663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.31 + -43. Let z = m - 0.461. What is z rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**25\/q**(7\/6))**42 assuming q is positive.\nAnswer: q**1001","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f - 6 - 2*f**3 + 4 + 3*f**2 + 3*f**4 - 7*f**2 + 3 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 434520 by 36210.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7956 = 4*d, 4*w = 3*d - 3902 + 11857. Suppose -10642 = 6*n + w. Let b = n - -1255. What is b rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79141499 divided by -4?\nAnswer: -79141499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000067781555 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5\/(z\/(z\/(z**29\/z*z))) assuming z is positive.\nAnswer: z**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 94218 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 412109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 105 = 11*s. Solve s*p = -3*p - 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.752 + -0.028. Let d = -0.68 - l. Is d <= 0.027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 + 0*m + 0*m - 6*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 252, 643, 1192, 1905, 2788, 3847?\nAnswer: 5088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f + 0*f**6 + 0*f**2 + 14 + 0*f**3 + 5\/42*f**7 - 9*f**4 + 0*f**5. What is the third derivative of k(j) wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 + 23*g**2 - 43*g. Give a(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097815 is divided by 447.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 + 36*w**2 + 4*w - 46. Let b be d(12). Factor 1\/5*j**b + 5*j + 0.\nAnswer: j*(j + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5241 + -5296. Sort 15, -0.5, q.\nAnswer: q, -0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5324 + -191731\/36. Let t = -7\/4 - r. Let w = 1.1 + -5.1. Which is the closest to -0.1? (a) 0.4 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 5*s**2 + 11*s - 26. Give h(6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -7, -5482 in descending order.\nAnswer: 2, -1, -7, -5482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 4. What is the second derivative of 10*u + m - 13 - 11*u**3 wrt u?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11.1. Let n = -3\/2269 - 4517\/15883. Which is the closest to 1? (a) z (b) n (c) 2\/13 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -2*p. Let r = p + -7. Let s be 4*r\/(-108)*-2. What is the smallest value in 0.2, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:02 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - 2.87. Let w = 2.3 + y. Sort 0.4, w, -0.1 in ascending order.\nAnswer: w, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let j(o) = -5*o + 5. Let t(m) = -m**2 - m. Let h(y) = 4*y**2 + 7*y - 4. Let i(k) = -h(k) - 3*t(k). Let x(z) = 5*i(z) - 4*j(z). What is f(x(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 51.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -130010220 (base 4) to base 7\nAnswer: -656142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*2 + 2 - -2*(sqrt(13) + 0 + -3).\nAnswer: -4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from -24379.\nAnswer: -24355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 124*j**2 - 112*j + 240.\nAnswer: -4*(j - 1)*(j + 2)*(j + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 739 * 5.2\nAnswer: 3842.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:23 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, -81, -366, -905, -1782, -3081, -4886?\n\"Answer: -14*z**3 - z**2 - 14*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20057364 a multiple of 1143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27818 is divided by 26534.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 7:43 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(1\/2)*((-379260)\/40)\/(-147)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 598708848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*30*1\/160?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120303002231 - -1130?\nAnswer: 120303010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 8 = -35*y + 4*a, -4*y - 5*a = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492 and 1395968?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (19 - -2 - -17) + (-1 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 1)*-3)**2 + (sqrt(200)\/sqrt(4))\/sqrt(10) + sqrt(5).\nAnswer: 20*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 at least as big as -5481\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l + 1. Let m be h(2). Suppose 11 - 16 = -s. Suppose m = s*w + 1. Solve -a + 3*a + 1 = 3*o, 0 = w*a - 3*o - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10337 and -217060\/21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.5, 0.08, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 2 - (-42 + 32)) + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b - 1. Let z(f) = 55*f + 5. Let l(u) = -5*j(u) - z(u). Let y(q) be the first derivative of -q**2\/2 - 1. What is l(y(h))?\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 - 40*y - 33. What is x(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/11)\/g**(3\/10)*(g**(1\/5))**17 assuming g is positive.\nAnswer: g**(361\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 283*c**3\/6 - 64*c**2 - 163*c + 24. Let n(v) be the first derivative of f(v). What is the first derivative of n(r) wrt r?\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*i + 5*i. Suppose 0 = i*p - y + 18, -y + 2 = 0. Let n(m) = 2*m**2 + 2*m - 5. Let v be n(p). Solve 4*o + o - r + v = 0, -4*o - 11 = -5*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 3, t: 3, l: 2, f: 9, g: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 26. Let v(c) = 5*c**3 + 15*c**2 - c - 9. Let w(k) = -6*k**3 - 16*k**2 - k + 10. Let n(p) = -7*v(p) - 6*w(p). Give n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3217, -8049, -14501, -22573, -32265, -43577?\nAnswer: -56509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 + (-145)\/25)*205\/(-2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/9*(-3)\/2. Suppose -14 + d = -3*c. Calculate the least common multiple of c and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 3*c**2 + 2*c**4 + 1 + (10596*c - 3117*c - 4113*c)*(2*c**2 - 2*c**2 - 2*c**3).\nAnswer: -6730*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x = 90. Calculate the highest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30234*u + 748 = 30278*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73335538.\nAnswer: 2, 1069, 34301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 182\/49 - 8\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4938583*b**4 - 13*b + 779.\nAnswer: 59262996*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015779341 a multiple of 956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(75\/(-1)))\/(1\/(-3))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6881289, 6881288, 6881285, 6881280, 6881273, 6881264?\nAnswer: 6881253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 45 = 0. Suppose w + 4*g = 6 + 12, -m = 5*w - g. Is (6\/(-4) - w)*326 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101133 or 100030?\nAnswer: 101133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2 - 3*t**3 - 4*t + 1448*t**2 - 1448*t**2. Let q = 17 + -11. Suppose -u + 2 = q. Let l(n) = -2*n**3 - 3*n - 2. Give u*l(h) + 3*y(h).\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120664.3 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/6 + ((-16)\/(-3))\/4. Let u be (-20)\/11 - x\/(-33). Sort u, 4, -3 in descending order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - 2*q**2)*(2*q**2 + 2*q**2 + 0*q**2 + (1 - 1 - 2)*(2 - 2 + 2*q**2) - 4*q**2 + 3*q - 3*q).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -7, 8, -5, -4, 0 in increasing order.\nAnswer: -7, -5, -4, 0, 8, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnnbnqbbqqqqb. What is prob of sequence qqbq?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9774581 rounded to the nearest ten thousand?\nAnswer: -9770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -135*d + 2042. Calculate c(15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 0. Let l = a - 4. Let n(x) = x**3 + 6*x**2 + 5*x - 5. Let u be n(-5). What is the closest to 1 in u, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 62. Do b and -32 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*x + 72*x + 2*x**2 + 239*x to the form o*x**2 + p + s*x and give s.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {k: 2, f: 2, i: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 64231637 (base 8) to base 11\nAnswer: 7814784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 509471630.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3308294, -13233177, -29774646, -52932701, -82707342, -119098569, -162106382?\nAnswer: -211730781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.01 - -0.01. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(27*x**2 + 1 - 2*x + 16*x**2 - 30*x**2).\nAnswer: 52*x**2 - 8*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7 - q - 4 - 4. Let v be t(-3). Suppose 3*j = -v*j + 55. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-12 + -3 + 12 - -55) + 7?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6964*o**2*s**3 + 1082*o**2 - 6*o*s**2 wrt s?\nAnswer: -41784*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + -1a?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 16)*(-3 + 0). Suppose -37 - x = -5*s. Solve 0 = 5*l + 4*t + 37, -l - 4*t - s = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 10, m: 4, h: 2}. Give prob of picking 2 m and 2 o.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5254166447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-35)\/(-15))\/(1\/(-6)). Suppose -3*s + 25 = 5*l + 2*s, -2*s = -x. Solve -u + 4 + l = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*s - 3*w - 46, 0 = 5*s + 3*w - 111. Solve 2*k = q - 6 + 20, s = 4*k - q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1779 - -32745. What are the prime factors of w?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppeppppeppp. What is prob of sequence pp?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.2. Let f be 2\/1*(-33)\/144. Let q = -1\/24 + f. What is the closest to y in 2\/7, -2\/3, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/7 (b) 0.9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let k be -24*(j + 10\/4). Suppose b - 26 = k. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3737 is divided by 95?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40718, -81451, -122184?\n\"Answer: -40733*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/13)*k*k)\/k**(-2\/23) assuming k is positive.\nAnswer: k**(578\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 9:45 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.1085.\nAnswer: 4.1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*a + 6*a - 66, 0 = -5*h - a - 351. Let x(l) = -l**3 - 18*l**2 - 84*l - 101. Let w be x(-8). Is h at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/9)*u\/((u\/(u*(u\/u**1)\/u))\/u))\/(u**(-2\/9))**(-35))**(-31) assuming u is positive.\nAnswer: u**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 + 710.\nAnswer: 710.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 92045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + 13. Suppose -2*f - 1 = n + 10, -2*n - w*f = 26. Let x be (4\/n)\/((-2)\/130500). What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 189\/(-12) + (-2232)\/(-124). Let i(a) be the second derivative of 0 + q*a**4 + 0*a**2 - 2*a**3 - 15*a. What is the second derivative of i(s) wrt s?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509328 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1237, 2 in increasing order.\nAnswer: -1237, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x**2 + 5*x + 4. Let m be b(-3). Let n(i) = 129*i + 4133. Let p be n(-32). Suppose -p*l + m = 4. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 - g**4 + 5*g**3 + (4*g**3 - 3*g**3 + g**3 + (0 + 5 - 4)*(2*g**3 - 2*g**3 + 2*g**3))*(5*g - 7*g - 4*g).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56308701?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 476804559 a multiple of 1173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1852563747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = -4*y + 6207. Suppose 3*i = -2*r + y, 5*i + 2*r = -2*r + 2330. Let n be (3 - i) + 1 + -2. What is n rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-1*sqrt(8)) + sqrt(162)\/sqrt(6))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8342 and 1067.\nAnswer: 91762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 454655477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 0.00403.\nAnswer: -2.00403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/81 and -32\/1035?\nAnswer: 9315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w**2 - 16*w. Suppose 4*v = 19 - 51. Let x(u) = u**2 - u - 1. Let i(b) = v*x(b) + t(b). Let i(y) = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5 + 5 - 2*d**2. Let h = 1095 - 1063. Let v(o) = -39*o - h*o + 104*o - 51*o. Give j(v(c)).\nAnswer: -648*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - u + 6*u)*(2*u**3 - 41956*u**2 + 41956*u**2 - 2 + u) to the form t*u + c*u**3 + o*u**2 + y*u**4 + g and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 17. Let u(l) = 3*l - 72. Let z(q) = -26*f(q) + 6*u(q). Give z(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1161)\/(-4) - 7\/(-112)*12. Calculate the greatest common divisor of t and 2134.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*g - 4*m - 2, -35 = -2*g + 3*m. Suppose 0*f = -5*w - 3*f + 434, 0 = -5*f - g. Calculate the remainder when w is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 543, 685, 827?\n\"Answer: 142*f + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (11 - (7 - 17 - -42)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -10*15\/300*-144 is divided by 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -7. Let u(c) = c**3 + 6*c**2 + 6. Let x(q) = q**3 + 7*q**2 + 7. Suppose 8*k + 63 = 95. Determine f*u(m) + k*x(m).\nAnswer: -m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(85)*2 - sqrt(85) - (sqrt(85) - (((3*sqrt(85) - sqrt(85))*-4 - sqrt(85)) + sqrt(85))))\/(2*6*(sqrt(35) + sqrt(105)\/sqrt(3) + sqrt(35))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 1. Suppose 3*p + 16 = -0*v - o*v, v - 7 = -4*p. What is the third derivative of -p*g**2 - 4*g**5 + 5*g**2 + g**2 wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 12902.\nAnswer: 103216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**3 - 318 - 767*h + 0*h**3 + 771*h + 174*h**4 - h**3 with respect to h.\nAnswer: 696*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2948 - -5808. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 9*y**2 + 13*y - 23. What is d(-8)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4*u**3 - 38794*b**3*u**3 - 77*b*u**3 - 37*b*u wrt b.\nAnswer: -24*b**2*u**3 - 232764*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*b - 17*b - 41*b.\nAnswer: 193*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1270 and 59\/44577.\nAnswer: 445770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-40311)\/45*(-10)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -8, 15, 48?\n\"Answer: 5*u**2 - 2*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73354391?\nAnswer: 11, 61, 109321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**4\/2 - 34*q**3\/7 - 144*q**2\/7 + 2376*q\/7 - 1141. Find r such that m(r) = 0.\nAnswer: -33\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113789 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/3 - 124*l**3\/3 + 3718*l**2\/3 + 2604*l + 1323 = 0?\nAnswer: -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 + 7092*a**2 - 376407*a + 5051970 = 0.\nAnswer: 27, 2310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -469*p**4\/6 - 77*p. Let f(o) = o**2. Give y(f(d)).\nAnswer: -938*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 199951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 32*g - 153917 = -1514480. What are the prime factors of g?\nAnswer: 3, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -20. Let p(o) = -2*o**2 + 15*o - 16. Let i be p(n). Suppose -2*f + 4 = -f. Solve -5*t - 3*d + 5 = i, -2*t = -f*d - 22 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19, -3\/403, -3.\nAnswer: -3, -3\/403, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -11100621?\nAnswer: 11100624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -4\/3 (c) 2\/123 (d) 1\/8 (e) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 h when four letters picked without replacement from {y: 7, n: 2, f: 2, h: 2, l: 5}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-13 + -2 + 3 - (-26 + 15 - 66)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2443, -2410, -2377, -2344?\n\"Answer: 33*v - 2476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c - 4. Which is smaller: c or 1\/30?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459396101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 0, 0 = 4*o + b - 40. What is the remainder when 45 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 4:54 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -60*(-1 - ((-5)\/2)\/5). Suppose 6*w = m + 18. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**2. Let q(i) = -11*i + 1. What is d(q(c))?\nAnswer: -968*c**2 + 176*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*((-175)\/(-5) - -3). Let c(b) = -b**3 - 20*b**2 - 19*b + 6. Let v be c(y). Let z be 6*(15\/v + -2). Is 24\/13 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*r = 3*c + 25, -5*r = 5. What is the remainder when 35 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -1133233001?\nAnswer: -1133232321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 73. Give d(-41).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/9 + 40*w**3\/9 - 34*w**2\/3 = 0.\nAnswer: 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 899. Let n(a) = -225. Let h(k) = -m(k) - 4*n(k). Let o(f) = f - 2. Calculate -12*h(i) - 3*o(i).\nAnswer: -3*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m + 71. Let w(f) = -7*f - 94. Let x be w(-13). What is the remainder when 186 is divided by s(x)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 25. Suppose 27*r = a*r + 1014. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 - 2*i. Let d be v(-2). Suppose d = 2*o + 2*o. Let c(f) = -f + 4. Let w be c(o). Solve -q - 27 = 7*z - 2*z, 2*z = 3*q - w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(275) - sqrt(275)*-2)**2*-4 + -1.\nAnswer: -39601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/3 - 33334*j**2\/3 + 66650*j - 99966 = 0.\nAnswer: 3, 16661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.4696866 rounded to 2 decimal places?\nAnswer: -17.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525762073 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81656 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*d + 4*d + 1408 = 26*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7*n - 8 = 0. Let c(z) = -8*z**4 - 6*z**3 - 11*z. Let v(h) = -2 - 2*h**3 - 4*h - 3*h**4 + 2. Let j(g) = n*c(g) - 11*v(g). Let j(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26*1\/(-8))\/(7\/(-84)*3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6983098 and 0.5?\nAnswer: 1.3491549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1376204*w**2 + 252809 wrt w.\nAnswer: -2752408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6707*f**2 + 3*f**3 - 5451*f**2 - 11796*f**2.\nAnswer: 3*f**3 - 23954*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1876 = 4*i, -6*i = -m - 2*i + 464. Let c be ((-12)\/(-18))\/(2\/m - 0). Calculate the highest common factor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 s when four letters picked without replacement from {s: 2, q: 5, n: 10, r: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -933, 4, 1 in descending order.\nAnswer: 4, 1, -11, -933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**5 + 26864*w**4 + 9*w**2 - 27048*w**4 - 3*w**2 - 6*w**2 - 7631*w wrt w.\nAnswer: 60*w**3 - 2208*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -d41c1d8?\nAnswer: -d41c1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163125070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -116676.072552769.\nAnswer: 116675.672552769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 288926, -4, 0 in increasing order.\nAnswer: -4, 0, 288926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39\/116 + 1\/348. Let t = -463\/755 - -2\/151. Sort -5, t, 1, d in decreasing order.\nAnswer: 1, d, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -20926 - 3*p + 20926 + 27*p**2 - 45*p**3 + 21*p**4 = 0.\nAnswer: 0, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 880 divided by 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 338119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 14. Let z be n(-6). Suppose 0 = 5*b - z*b - 5*i - 565, -2*b + 3*i + 1109 = 0. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1764*y**5 + 5908*y**4 + 5296*y**3 + 960*y**2 - 256*y - 64 = 0.\nAnswer: -2, -1, -2\/7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 - -7) + 3\/1. Let i be (168\/(-880))\/u*18. Is 0 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 2. Let q be a(-3). Suppose -4*k = -q*f - 17, 5*k - 11 = 2*k + 2*f. Factor -22*m**5 - 19*m**5 + 6*m**k + 38*m**5 - 3*m.\nAnswer: -3*m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 15*m + 246 = -318. Calculate the remainder when m is divided by (2 - 3)\/((-2)\/42).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -23\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - -1040?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:59 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*h - 1208*h**3 - 20*h + 3*h + 49*h - 667*h**3 + 23 wrt h.\nAnswer: -11250*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3192 = -111*x + 118*x. Let r be (-11)\/(-2)*x\/(-627). Solve -4*i + 2*s + 12 = 0, -r*i + 7*s - 2*s + 24 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**2\/2 + 2*x - 2. Calculate l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/5))\/(w\/(w**(6\/17)\/w))*(w**(1\/2)*w)\/w*w\/(w*w**(5\/3)*w) assuming w is positive.\nAnswer: w**(-1333\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3 - 340. Let u(i) = 247*i**2. Determine u(m(p)).\nAnswer: 2223*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1152398078 and 0.\nAnswer: -1152398078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:33 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 3 - 5*z**3 - 2*z.\nAnswer: -5*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*l - 9195 + 2943 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205448 is divided by 49402.\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31549920 rounded to the nearest ten thousand?\nAnswer: -31550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162, -152, -130, -90, -26?\n\"Answer: i**3 + 3*i - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -4.5. Let x = -18.1 - -18.2. Which is the third biggest value? (a) x (b) j (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 2*z + 1. Let s be q(-1). Sort -4, -1, 76, s in ascending order.\nAnswer: -4, -1, s, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -150, 0.02, -736?\nAnswer: -736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 18*j**2 - 39*j - 18. Determine r(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 344, 356, 368, 380, 392?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549042009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 16*s**2 - 7*s - 7. Let x(c) = -5*c**2 + 2*c + 2. Give 6*h(r) + 21*x(r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - 13*p**3 + 15*p**3 + 2*p**4 - 1756*p**2 + 7*p + 1757*p**2 in the form v*p**4 + n*p + s*p**3 + j + t*p**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/((-1)\/2786) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2) - sqrt(162)*-1)**2 + 5)*-3.\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -22. Let h = 4 + n. Let p be -2 + ((-18)\/8)\/(114\/(-96)). Which is the second smallest value? (a) 1 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/180 and -71\/198.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94380715.\nAnswer: 5, 11, 13, 132001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -30 (b) 2\/9 (c) -0.4 (d) 7 (e) -4 (f) 2499 (g) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6767082 and -119\/10.\nAnswer: 33835410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -3*j**8\/280 - 38*j**7\/525 - 31*j**6\/150 - 8*j**5\/25 - 17*j**4\/60 - 2*j**3\/15 + 8*j**2. Factor i(b).\nAnswer: -2*(b + 1)**4*(9*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1964 divide 828925840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 33, 101, 237, 465, 809, 1293, 1941?\n\"Answer: 4*o**3 - 2*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 5*d + 12, 657*k - 658*k = 5*d + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336244373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 40538430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(612)*1)**2 + sqrt(68) + -4 + 3.\nAnswer: -10*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u + 16*u - 3*u + 13*u + 41*u - 8*u.\nAnswer: 77*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 30. What is x(52)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 490889 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 + -1 + 2. Suppose 2 = -3*w - 4*v - v, 14 = -5*w - 3*v. Let o be (-4)\/(-3) - (w - -4). What is the closest to a in o, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eegzpezeeewgzeeez. What is prob of sequence pew?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*h + 73*h = 2*j - 223, -2*h + 486 = 4*j. Calculate the greatest common divisor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*i**2 - 13*i**2 + 2514*i - 11*i**2 + 31*i**2 + i**2 - 526683.\nAnswer: -3*(i - 419)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 70 + 254. Let a = 111 - l. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4551174159.\nAnswer: 3, 7, 17, 37, 127, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37321.9 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 - 6*x**2 - 5*x**2. Let g(b) be the third derivative of b**4\/24 + 4*b**2. Determine t(g(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/120 - b**5\/15 - b**4\/12 - 5*b**3\/6 - b**2. Let h be u(-4). Find v such that 14*v**2 - 6 + 18*v - 2*v**2 + h*v = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-391)\/6 - 27\/(-6966)*-43?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-8) - 18\/8. Let s be 0\/1 + (r - -4). Let b be (0\/s)\/(2 - 4). Solve 3*d + 8 = -h, 4*h + b + 18 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37320 divided by 30\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -177164*b*r**3 - b*r*z - b*r - 384164*r**3*z + r**3 + r**2*z + 2*r**2 + 2*r - 2*z wrt b?\nAnswer: -177164*r**3 - r*z - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1002 - -1436. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) 5\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -1.126. Let b = -2.674 + o. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 10 + 4. Let k = -21 + 20. Sort h, 2, k.\nAnswer: h, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3861 and 30208893?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -14.961. Let l = u + -62.039. Is l < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37644.05 litres in millilitres?\nAnswer: 37644050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from paaaaaapaaaaaaaaaa. Give prob of picking 2 a and 1 p.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 715*i - 712*i = 3, -i + 12 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 15. Let r be b(6). Suppose r*z + 17 - 17 = 0. Solve z = 3*j - 8 - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(1\/7))\/w*w*w*w)\/w**(-7)*(w**6)**(-3) assuming w is positive.\nAnswer: w**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67.66 - -78.704. Let u = t - 0.244. What is u rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 15*w + 8*w - 7*w**2 to the form h + z*w + i*w**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 94*f - 95*f. Let h = -4 - -6. Suppose -5*x + 40 = 2*l + 4, -f*l + 18 = h*x. Calculate the greatest common factor of x and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - -40. Let s = -79 + h. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 55, 0 in decreasing order.\nAnswer: 55, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 + 1\/360*g**6 - 1\/60*g**5 + 1\/24*g**4 + 0*g**3 + 0*g + 2*g**2. Let c(d) be the second derivative of p(d). Give c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -25*v**4\/24 - 29*v**3\/6 - 15*v**2. Find the first derivative of a(j) wrt j.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8894.722ms in microseconds?\nAnswer: 8894722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1, 1\/7, -0.4, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36032.95cm to nanometers.\nAnswer: 360329500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(136)\/(sqrt(24)\/(sqrt(3) - 5*sqrt(3))))**2.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (-101 - -109 - (-2 + (10 - 2))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 h when three letters picked without replacement from hhkvvvvvk?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-110) - 9\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216168?\nAnswer: 2, 3, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let r be (-550)\/(-264) - 2\/24. Let x(z) be the second derivative of -7*z + 0 + 0*z**3 + 0*z**r - 1\/12*z**4. Calculate x(w(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((312\/(-54))\/13)\/((4\/45)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, 0, 219 in descending order.\nAnswer: 219, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9102)\/2952 + (-22)\/(-8))\/(2\/(-38))?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-9) + (-2)\/6. Let n = -13649 - -13651. What is the biggest value in x, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 13.1. Suppose -t = 3*p + 3*t - 8, 2*t - 22 = 3*p. What is the nearest to y in p, -0.1, 0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172867532927 - -4064?\nAnswer: -172867528863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -441.7\nAnswer: -2208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = l + 4*i - 3*i, -3*i = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -567\nAnswer: 19\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -783112700 to the nearest one hundred thousand.\nAnswer: -783100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 less than or equal to 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.08 + -0.08. Let r = u - 3. Let j = -20 + 16. Which is the nearest to r? (a) -3 (b) 1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*c + 233 + 162, -5*o - 5*c - 1025 = 0. Let p = -197 - o. Calculate the remainder when p is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182850?\nAnswer: 2, 3, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 5*q**3\/3 - 1. Let u = -6 + 7. Let c(r) = -7*r + 5*r + u - 1. Give v(c(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 331*l**2 - 15*l**2 + 21*l**2 + (-3*l + 0*l + 2*l)*(4*l - 2*l - 4*l).\nAnswer: 339*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2568615 = -26156*q + 5876*q - 1305*q for q.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 - 4*b - 4. Let j(g) be the third derivative of 3*g**5\/20 + 7*g**4\/24 + 7*g**3\/6 + 289*g**2. Calculate 4*j(u) + 7*w(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + w - 9 - 2, -25 = 5*f + w. Let s = -2 + 2.07. Let t = -4.93 - s. What is the nearest to -0.2 in -2, f, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 - 61598392.\nAnswer: -61598505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 21 = -a + 3*n, 2*a - 36 = 2*n. Suppose 3*l - a = g, -3*l + 22 = -2*g + l. Is g + 4 + 20 - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -22*t + 468. Let b(y) = 116*y**2. Calculate c(b(m)).\nAnswer: -2552*m**2 + 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*j + 122 = 5*j. Let x(s) = -5*s**2 - 1 + 3*s**2 + 5*s**3 + 6*s**2 - 2*s**2. Give x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16\/(-192)*3 - (-1394)\/8 and 116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 divided by -285?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d = -763492 + 761668 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - x + 274 = 269, -8 = -4*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50730 and 267.\nAnswer: 50730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4131804?\nAnswer: 2, 3, 29, 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 329 = 175. Solve 54 = 18*h - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*u**3 + 2*i**2*u + 3*i**2 - 461*u**3 + 34 wrt u.\nAnswer: -6*i**2*u - 2766*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*k**3 + 1905*k**2 - 1578*k - 288.\nAnswer: -3*(k - 48)*(k - 1)*(13*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2854 - 4*d**2 - d**3 + 3*d**2 - 2857 in the form n*d**3 + w + z*d**2 + l*d and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {t: 1, a: 3, j: 3, q: 1, b: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55027 - 55022. Let g = -606\/55 + 56\/5. Which is the closest to k? (a) 0.3 (b) -1.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107998 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5105, -10213, -15321, -20429, -25537, -30645?\n\"Answer: -5108*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -64. Differentiate 2*r**4 + 10*r**4 - 1 - l*r**4 with respect to r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599137 to the power of 1\/2, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - (-6 + 5 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Let z(a) = a**2 - 6*a - 2. Let p be z(7). Calculate the least common multiple of (-2)\/p*(-15 - 0) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 58 = -0*h - 5*h, 4*u - h = -80. Let k = 22 + u. Factor -k*t**3 - 3*t**4 + 0*t**3 - 3*t**3 + 0*t**3.\nAnswer: -3*t**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*(-60)\/6. Let i = l + -29. Let q = -13 - i. Solve 0 = -3*n + 2*s - 13, -4*s = 3*n - 5*s + q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let z be 2\/(-3) + (-16)\/v. What is the lowest common multiple of 1 and 9 + 3\/(z\/(-2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2309924*-16\nAnswer: 3.6958784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67664091 is divided by 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 786*r - 786*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + 11?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (14\/14)\/(3*(-1)\/5)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 3. Let a be m(-2). Suppose -a*v + 15 = -0*v. Differentiate -3*w**v + 3*w**3 - 9 + 5 - 4*w**4 with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4323234433 - 0?\nAnswer: -4323234433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8) + (-7 - (-2 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33120 and 342240?\nAnswer: 1026720","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:34 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -68*p - 9. Let o(c) = 137*c + 16. Give 7*m(w) + 4*o(w).\nAnswer: 72*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:22 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55678 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: What is 309 minutes after 2:27 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36367 + 36357. Which is the nearest to -1? (a) 41 (b) -4 (c) g (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -4*w**3\/3 - w. Let y(o) = o**3 + 14*o**2 + 3. Let x be y(-14). Let k(v) = -3 + x + 2*v**2 + 0. Give l(k(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:34 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b**2*l**3*q**2 + 6460*b**2*l**3*q + 28*b*l**3*q**2 - 10*b*l*q + l**3*q wrt b.\nAnswer: 16*l**3*q**2 + 12920*l**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (170\/50 - 6\/(-10))*4. Suppose 4*p = f + 4. Solve 5*m + 2 = 5*i - 3, p*i + 2*m = -9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let i(z) = 7*z + 7. Suppose 0 = l - 2*h - 1, -5 = 2*h - h. Let u(b) = 3*b + 3. Let x(g) = l*u(g) + 4*i(g). What is x(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -42*g**2 - g + 37. Let l(h) = h**2 - 10. Give -2*l(f) - z(f).\nAnswer: 40*f**2 + f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -57*p + 6. Let h be r(-7). Suppose -1211 - h = -4*y. Suppose -4*v + y = -2*d, v - 3*v - 2*d = -190. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 16 (c) -3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8452 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-1 + -1 - -3). Suppose 0 = 4*f + 5*x + 69 - 802, 5*x - 25 = 0. Suppose -4*s + 7 + f = y. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 24. Let u be (g\/(-28))\/((-3)\/12). What is the third derivative of -4*y**3 - 4*y**2 + 7*y**u + 7*y**3 wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 2 + (-2 + 0 + sqrt(5))**2.\nAnswer: -sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 743931499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289507 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 243, 5, 1, -3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(-33*m + 97*m + 161*m + 95*m) in the form r + z*m and give z.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 949 = v + 979, 9*v = -4*d - 46 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/(-3 + (1 - -4)). Let k(q) be the second derivative of p*q**3 + 0 + 1\/60*q**4 + 5*q + 0*q**2. Suppose k(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -903, -3601, -8097, -14391, -22483, -32373?\nAnswer: -44061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.011 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, -8622 in increasing order.\nAnswer: -8622, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -6. Let k = m + 9. Suppose -k*t - 4*n + 24 = 0, 4*t = 3*n + 47 - 15. Solve -p = 3*p + t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*m - 39, 4*n = -4*m + 3*m - 9. Suppose 86 = m*k + 31. Calculate the remainder when 51 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*h + 7*h. Find the second derivative of -5*x + 4 + 11*x**h - 4 - 13*x**5 wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 + y - 5*y + y**2 - 8*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 362538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 8*c**2 - 9*c + 3. Let z be w(-9). Let y be z*(3 + -14336) + -1. Round y to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62702\/23 or -2725?\nAnswer: -62702\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84383 - 55583. Is 72 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*p**2 - 2 - 372*p + 3*p**4 + 372*p + (-1 + 8 - 1)*(p**3 - p**3 + p**4).\nAnswer: 9*p**4 - 16*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddjudujdd. What is prob of picking 1 d and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -1.5\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o + 15. Let k(h) = -2*h - 5. Let x be k(o). Let p(g) = -g**2 - g. Let b(q) = 6*q**2 + 5*q. Calculate x*p(v) - 3*b(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -17. Let h be a - -2*4\/(-8). Suppose -4*j - 5*l = -l + 20, -10 = 5*l. Sort j, h, -4 in decreasing order.\nAnswer: h, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1.98091, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 21. Suppose -5 = -i*m + 17. Calculate the least common multiple of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (284 - 95*f**2 - 284)*(-11*f**3 - 7*f**3 - f**2 + 15*f**3).\nAnswer: 285*f**5 + 95*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/6 (b) -1\/9 (c) -0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97762046097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.71268624 rounded to 2 decimal places?\nAnswer: -5.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 1)*(-1 - -2). Let i(m) = -3 - 4*m**2 - 4*m**2 + 2*m**2 + 5*m + 2*m**3 + 3*m**q. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l + 15. Let w be (1 + l - 1) + 7. Suppose 3*m + 2*n = 25, -2*m - 5*n + w = -31. Solve 2*q = q + m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 20 + k**3 - 4 - 14. Let z(u) = 8*u**3 + 5. Let x(p) = -2*j(p) + z(p). Give x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86018 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/(4\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3575\/429*156\/10 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/((-4374)\/36)*(-1)\/((-4)\/264)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 + 59 - 18)*(-6 + 5 - 5)*(-p + p - p) in the form f*p + t and give f.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -0*x, 0 = 4*k - x - 7. What is the second derivative of 0*b**2 + 7*b**k - 3*b**2 + b - 3*b**2 wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 190 + 170. Suppose 0*c + x = 3*c. Suppose -c = 3*y - 0*y. Let d(i) = -i**3 - 5*i**2 - 4*i + 1. Give d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 173. Which is the closest to 1\/2? (a) -0.1 (b) -67 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 28*s - 10. Give q(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**2)**(-4\/3)\/(g**(2\/3))**(9\/4) assuming g is positive.\nAnswer: g**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1*-4*52*124\/(-6448).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 15*x**2 - 15*x - 11. Let q be a(-14). Suppose 5*b + 4*z + 0 = 27, q*z = -b + 1. Solve w - 2*d = -2 - 12, -b = -2*w - 3*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 66 (b) -4749 (c) 2\/3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*6\/27*3. Suppose 3*u = -r*n - 2*n + 19, 4*n - 5*u = 11. Determine m so that 5\/4*m**2 + 1\/2 - 7\/4*m**n + 9\/4*m - 9\/4*m**3 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67456 and 2448.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -572 - -301. Let d = g + 177. Let u = d + 137. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 0. Let z = 1205 + -715. Suppose a*i - z = 2*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/9*6 + -2. Let r(x) = x**2 + 0*x**2 + 5*x + 4*x + 1 - 3*x. Calculate r(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d + 60. Let n(z) = -4*z**2 - 10*z - 5. Let y be n(-4). What is the remainder when k(y) is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -22*a + 16. Suppose -a*h = 5*h - 130. List the prime factors of ((-358)\/(-3))\/(h\/15).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -1.7\nAnswer: -2.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50504572*h**4 - 111045591*h wrt h?\nAnswer: 606054864*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -52\/3*c + 2\/3*c**3 - 46\/3*c**2 + 32 = 0.\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(81))\/(sqrt(18)\/sqrt(96)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, 3, -69, 0.3, -4\/3?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/162*(-3)\/2. Let r = -2258 + 47420\/21. Which is the nearest to o? (a) -2\/7 (b) 4 (c) r (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -3*q**8\/14 + q**4\/2 - 6*q. What is the third derivative of u(b) wrt b?\nAnswer: -1440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 11:08 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i**2 - 22*i**2 - 323*i**2)*(10*i**2 - 3*i**2 - 2*i**2).\nAnswer: -1630*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 2 - (-4 + (-620)\/(-68)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23445.5 rounded to the nearest one hundred?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.03182201 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u - 1. Let y = -6 + 7. What is the lowest common multiple of n(y) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.9. Let o = -10 + 15. What is the closest to v in 2\/7, -3, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 5*m**2 + m**2)*(5 - 2 + 7) + 0*m**2 + 4*m**2 - 2*m**2.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/((-406)\/(-112)))\/(-22)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 17 = 4*w + 4*f, 2*w - 4*f - 2 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) - (1*sqrt(171) + -1 + sqrt(171))) - (sqrt(171)*2 - sqrt(171))*-1 - (5 + (sqrt(171) - (-2 + sqrt(171)))*-6))*-2*-5)**2*-6.\nAnswer: -945000 - 64800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -21. Let r be (1 + (-4)\/12)*z. Suppose 0 = 5*k - r*k - 44. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -94 (b) 5 (c) 0.1 (d) -2\/11 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -43. Let h(a) = 2*a**2 + 156*a - 105. Calculate the remainder when h(-79) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 391?\nAnswer: 38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10824\/205)\/44)\/(3\/(-50))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 38 + (-57)\/(-16) + 320\/(-256).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and 669483?\nAnswer: 32135184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/1601?\nAnswer: 1\/1601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - -33 - (6 + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, -14.98, 5 in descending order.\nAnswer: 5, 1\/5, -4, -14.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -2, 688, -40, 10, 3 in decreasing order.\nAnswer: 688, 10, 4, 3, -2, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/15 - 85\/(-51)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2197*s**6 - 2180*s**2 wrt s.\nAnswer: -263640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -249, -124, 3, 132, 263?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20765455 and -4.95488.\nAnswer: -20765459.95488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 75 - 0. Suppose z*v + 25 = 10*v. Suppose 4*u - 4 = m - 3*m, -4*u = -2*m - 4. Sort 3, v, u.\nAnswer: v, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -13. Let j = f - -1. Let r be 15\/(60\/16) + -1. Solve 0 = -j*a + r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252186271 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: Sort -14, 0, 3, -334, 70.\nAnswer: -334, -14, 0, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvmvmwfwvgg. What is prob of sequence mgm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 2:14 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s**4 - 11\/5*s**5 + 0*s**2 - 1 + 0*s - 3*s**3. What is the third derivative of h(o) wrt o?\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59, -67, -89, -131, -199, -299, -437?\n\"Answer: -l**3 - l**2 + 2*l - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3648 and 3?\nAnswer: -1.0944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0, -1\/9, -2081, -0.4, -1 in descending order.\nAnswer: 0, -1\/9, -0.4, -1, -3\/2, -2081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/22)*l**0)**(3\/23)*((l*l**(-6\/7))\/(l*l*l**14*l))**27 assuming l is positive.\nAnswer: l**(-1611675\/3542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248770 is divided by 478.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48540381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 11:46 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4924.\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -320 + 5*d + 320 - 3*d. Let w(v) = 347*v**2. What is t(w(j))?\nAnswer: 694*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10933 by -1890.\nAnswer: 10933\/1890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -5. Solve -f*v - 3*p + 10 = -v, 5*v + p = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5\/3 - 151*z**4\/6 + 805*z**3\/6 + 4121*z**2\/3 + 136*z = 0 for z.\nAnswer: -17, -6, -1\/10, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v - 1. Let s be p(5). Let i = s + 10. Suppose 6*q = 5*q + i. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + 5*r - 20. Let x be h(2). Let s(j) = 8*j - 8. Calculate s(x).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49.9 (b) -1.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180.516 - -180. Let s = 3.206 + r. What is s rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3816 and 91\/54?\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*t)*(-t**3 - t**3 + 0*t**3) + 14*t**4 - 1425*t**3 + 1433*t**3 + 18*t**4 in the form k*t**2 + m + p*t**4 + s*t**3 + q*t and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 38*y**3 - 190*y**2 + 190. Let t(o) = o**2 - 1. Give -190*t(d) - u(d).\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -5 + 1 - -13. Find the third derivative of o*h**2 - 3*h**2 - 2*h**2 - 12*h**4 - 4*h**2 wrt h.\nAnswer: -288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113323023 (base 4) in base 8?\nAnswer: 277313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 111?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1849? (a) 1 (b) -33\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 10*u**2 + 2*u - 20. Let d be m(10). Find s such that 10\/7*s**4 - 36\/7*s**3 + 16\/7*s + d + 24\/7*s**2 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 225*i - 236*i + 176. Calculate the lowest common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-51)*1\/4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41735 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: What is prob of sequence qqmx when four letters picked without replacement from {x: 1, q: 2, r: 4, m: 3, s: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + 1 - ((32 - 76) + 25)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 850*n**2 - 22*n - 45. What are the prime factors of h(-2)?\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - d - 17 = a, 5*a + 17 = 4*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -397318, -794641, -1191964, -1589287?\n\"Answer: -397323*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*j - 3*v, 2*v = 3*v - 2. Suppose -3*s = j*p - 74, -3 = -3*p - 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*v, -1 = -4*o + v - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 2170.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9497556 + 2.\nAnswer: -3.9497556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1405 and -61\/4479000.\nAnswer: 1258599000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.5. Suppose 34 = 16*u + 2. Suppose 0 = 2*y - 0*y + 6. Sort y, n, u.\nAnswer: y, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + 4.93. Suppose -y = -l - 4, -5 = y - 4*y - 4*l. Suppose -61*t + 58*t = y. What is the nearest to 0 in t, f, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 7*z**2 + z + 13. Let p be f(9). Let b = p + -79. Suppose -3*l + b = 39. Solve 3*q = -0*r - 5*r - l, 3*q + 4*r + 17 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.26441ng to kilograms.\nAnswer: 0.00000000001226441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-147 + -3)*(-12)\/9. Does 11 divide l\/6 + (-4)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120740, -482911, -1086524, -1931573, -3018052, -4345955?\n\"Answer: m**3 - 120727*m**2 + 3*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -649 - (1 - (-3)\/(-3)). Let a = f - -1258. Suppose 0 = -4*i + a + 223. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 0, 3*a = 2*a - 5*j + 4. Suppose q - a*q + 99 = 5*d, q = 5*d + 53. Is q 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 4237946, 4237944, 4237942, 4237940, 4237938?\n\"Answer: -2*q + 4237948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91, -1067, -3783, -9109, -17915, -31071, -49447?\n\"Answer: -145*c**3 + 39*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 164*a**2\/5 + 34*a - 332\/5.\nAnswer: -2*(a - 83)*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63629 + -63623. Suppose 2*j - 100 = 92. Suppose -7*f + j = -3*f. What is the highest common divisor of f and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 36, -2 in ascending order.\nAnswer: -2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000011110 + 100?\nAnswer: 1000000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -17. Suppose -2*x - 9 = 3*f + 107, 0 = -2*x + 4. Let a = -28 - f. Solve -2*h - a = -b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696 = -4*x + 90*x + 8. Solve 0 = 4*s - 4*d + 16, -6*s + x = -8*s + d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*s = 169, -s - 641 = -9*f + 5*f. Let d = 159 - f. Which is the nearest to d? (a) 2 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from eoeeeoeeeeoeeeeoeee.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -107*j + 2235. Calculate h(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1782 - -1803. What is the fifth smallest value in -2, -3, z, -9, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*(-4275)\/(-4875)*5\/(-3))\/(2\/6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35266.\nAnswer: 2, 7, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3 + 5. Let w = -1 - i. Let y(n) = 3*n**3 + 11*n**2 - 19*n - 58. Let q be y(-4). Solve w*k = -2*k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 5*a**2 + 5*a - 7. Let y(i) = i**3 + 2*i**2 + 2*i - 3. Let f(p) = -2*d(p) + 5*y(p). Let n(q) = -2*q**3 - 2. Calculate -3*f(v) + n(v).\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i - 4. Suppose 4*w - 28 = 2*a, 0 = 3*w + 5*a + 4 - 25. Let k(g) = 2*g. Let m(t) = -27*t + 3. Let s(o) = 22*k(o) + 2*m(o). Give w*d(x) + 5*s(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 12*z**2 - 11*z + 2. Suppose -9 = 5*f + 46. Let u be b(f). Solve -u - 4 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*d = -366, -i - 3*d + 36 + 68 = 0. Let u = -5 + i. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43.7, -2, 5 in decreasing order.\nAnswer: 43.7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4356 and -83\/4356.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*k**3 + 10996*k**2 - 439634*k - 7 wrt k?\nAnswer: -114*k + 21992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*q = -3*q - 64, -34 = -2*o - q. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/63 + 57\/(-133)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2979 and -83\/1050594.\nAnswer: 3151782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 349*i - 360 wrt i.\nAnswer: 349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 12*u**2 - 4*u - 148. What is the lowest common multiple of c(-7) and 35?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d. Let s(v) = 24 - 44 + 19. Let j(c) = 4*c + 5. Suppose -5*y = -5*f, 4 = 3*y - 2*f - 1. Let p(z) = y*s(z) + j(z). Determine p(r(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 34 - 1 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -21. Let d be u\/(-12) - (-1)\/(-6). Suppose -4*b + 2*v + 24 = d, 4*b - 4*v - 32 = -0*v. Solve 0 = -4*n - b*r - 12, 0 = -5*n + 5*r - 0 - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(2299) + sqrt(19))**2 + 2 + sqrt(76) + -1.\nAnswer: -46*sqrt(19) + 2741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 7, 2\/9, -0.2 in descending order.\nAnswer: 7, 2\/9, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187693 by -113.\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*f - 2*f - 45, s = 2*f + 57. Let j be (f\/(-24))\/((-3)\/(-2)). What is the fourth biggest value in 2, -0.5, 0.2, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110210201 (base 3) in base 11?\nAnswer: 7016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/7, -2\/5, -5\/6, -0.2, 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134331421 (base 6) in base 11?\nAnswer: 15a7905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*y - 2 + 715*y - 4020*y - 1748*y.\nAnswer: -5171*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -175, 5, -6, 3\/8.\nAnswer: -175, -6, -3, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 4*j + 3*i + 185, 4*j - 5*i = -183. Let d = -21 - j. Let c be d\/(-40) - 42\/(-105). Is 7 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:27 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101756065.\nAnswer: 5, 137, 148549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 2*u - 2. Let d be q(-2). Let y be 8\/6*d\/(-4). Is y\/(-8) - 393\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 554.58 * -1229.\nAnswer: -681578.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128 - 193. Let p = 158 - n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.1, -0.3, -7 in descending order.\nAnswer: 0.1, -0.3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 947720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 32657356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*b + 108*b**2 + 69*b**2 + 106*b.\nAnswer: 177*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*b**2 + 220*b + 2 wrt b.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.2 + -0.8. Let y = 149.875 - 173. Let d = y - r. Round d to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1239*c + 8500. Determine i(-7).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 17*o**5\/60 - 17*o**4\/12 - o**2. What is the second derivative of k(f) wrt f?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = u - 219, -2*u + 132 = 2*r - 90. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/3 + 44*l**3\/3 - 190*l**2\/3 - 812*l - 1443 = 0.\nAnswer: -3, 13, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 23 + 1)*(3*s**4 + s**2 - s**2).\nAnswer: -75*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -16784598\nAnswer: -5\/5594866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 6*m - 4. Suppose 52 = -o + 59. What is s(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24892 + -49785\/2. Put 5, 2\/3, 1\/3, -409, u in ascending order.\nAnswer: -409, u, 1\/3, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**9\/20790 + x**8\/36960 - x**4\/6 - 2*x. Let c(i) be the third derivative of n(i). Solve c(k) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 2. Let v be z(2). Let n(i) = i**2 + 4*i - 5. Let f be n(v). Let g = f - 2. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-2)*g)*g)\/g)**1\/((g*g**(-2\/11))\/g*g)**(3\/2) assuming g is positive.\nAnswer: g**(-93\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 455154*b**2 + 410145*b + 2 wrt b?\nAnswer: 910308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -34, -5, 1 in ascending order.\nAnswer: -34, -5, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -149*0.084\nAnswer: -12.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189 (base 12) in base 9?\nAnswer: 5066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + 66. Let l = k + -133. Let s = 45 + l. Which is the nearest to 3? (a) 3\/4 (b) -2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100\/9 or -4\/7?\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*t - 12. Is 5\/(40\/796)*t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by 6.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -aa40?\nAnswer: -aa3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3716024 in 7, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n*n**(-24))\/(n**(-1\/44)\/n**29) assuming n is positive.\nAnswer: n**(1723\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4099, 8194, 12243, 16228, 20131, 23934, 27619, 31168?\nAnswer: 34563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 17*n**3 - 22*n**2 + 48*n. Suppose -43*d - 24 = -55*d. Let w be t(d). Which is smaller: w or 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -247*j + 22444. Calculate m(91).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2*o**3 - 3*o**3 - 4.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6188 = 10*j - 1492. Calculate the lowest common multiple of j and 240.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 6*w + 12. Suppose -5*l - 3*z = -70, -l = -4*l + z + 42. What is the remainder when k(11) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-203)\/116)\/((-3)\/(-12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-13 - -17))\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 - 23386*s + 6.\nAnswer: -23386*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - (13 - 46) - (3 - 4)) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1)\/(1\/(-4)). Suppose -f*c - 4*r = r - 41, 3*c - 39 = -r. Calculate the highest common divisor of c and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2. Let j(f) = 58*f - 12. Let y(w) = 173*w - 34. Let p(k) = -17*j(k) + 6*y(k). Determine h(p(o)).\nAnswer: -2704*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 2*b**2 + 1\/6*b**3 + 0 - 1\/12*b**4 + 9*b + 1\/60*b**5. Suppose l(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 17*i - 7. Let n be b(19). Let w = 37 - n. Suppose -5*s = v + w, 5*v - s = -0*s + 48. What is the lowest common multiple of 10 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-0.1761\nAnswer: -0.1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68992 and 45276?\nAnswer: 1448832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 9 = 3*y - 8, 4*y = -4*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4928664.3 to the nearest 1000.\nAnswer: -4929000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14\/109 (b) 0.2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - i**2 - 5*i**2 - 44498*i**3 + 89002*i**3 + 12 - 44505*i**3. What is j(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 - 5704 = -12840*c + 13047*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -1. Calculate the lowest common multiple of o and 456\/108 + (-4)\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 128*t - 137. Calculate m(-65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 1656.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_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: Simplify (-1 + (sqrt(675)*-3 - sqrt(675)) + -2)**2.\nAnswer: 360*sqrt(3) + 10809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - (14 - (-3 + -3 + 11)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.19 (c) 0.2 (d) 317769\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*h = -14, -2*t = -2*h - 7 + 9. List the prime factors of (-256)\/t*(-10 - 8)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 19579842?\nAnswer: -58739526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2930142.4557 and -1235.\nAnswer: 2928907.4557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - 6\/(-9). Suppose -a = x - 4. Suppose 2*c = a*c - 10. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a + 3. Let t be (-1 - 0) + 4 + (-224)\/(-7). Suppose -4*y + t + 29 = 0. Let q(i) = 2*i + 0*i - 15 - i + y. Determine 5*q(n) - z(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9814 is divided by 247.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146 is divided by 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-10) + (-1350)\/6000 - 1073\/2392. Does 0 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531504319138 + 1.1?\nAnswer: -531504319136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 7:13 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-7) - (-60)\/7. Let r(n) = -n**3 + 8*n**2 + 9*n + 6. Calculate the remainder when r(y) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -138*k. Let x(y) = -33*y. Calculate v(x(l)).\nAnswer: 4554*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 6*r - 1. Let a(t) = 3*t**2 + 6*t - 1. Suppose 2*z - 20 = -3*z. Suppose 5*u + z + 11 = 0. Let x(q) = u*a(q) + 2*f(q). Calculate x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + (-29 - -59 - 93).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 1, h: 10, m: 2}. Give prob of picking 1 v and 1 m.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-5*g + g + 2*g) + (5 - 2 - 1)*(-2 + 3 + 2)*(-2*g + 12 - 12).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:26 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*n + 12 + 27, 4 = -4*n. Let o = 16 + b. Solve 0*s = -o*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times -1.1?\nAnswer: 40.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-2)\/(-20))\/((-380)\/6650))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 12:40 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6) + -2 + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 2. Let w(s) = 11*s - 2. Give w(r(f)).\nAnswer: -33*f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let y(s) = 10 - 49*s**2 + 7 - 17. Give a(y(t)).\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + l - 3 + 3)*(2 + 2 - 3 + (2 - 3 + 4)*(-9 - 6 - 5)) in the form j*l + x and give j.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 40. Let l = -15 - q. Let r be -3 + (1 - (-2 - 0)). Solve r*s + 10 = -l*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 932.016 + -888.1. Round t to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1924, -1926, -1928, -1930?\n\"Answer: -2*o - 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -344 * 42\nAnswer: -14448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*32\/(-12)*(-543)\/(-6516).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2779)\/1191*(-1 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639183930?\nAnswer: 2, 3, 5, 7, 11, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.03 minus -5460804?\nAnswer: 5460787.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h + 10 = 0. List the prime factors of (3 - 1) + -118*1\/h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose v + o*v = 0. Which is the nearest to 0.3? (a) -2\/5 (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 361 + 28079?\nAnswer: 28440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -44, 2, -5, 25 in descending order.\nAnswer: 25, 2, -5, -28, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3918367.\nAnswer: 59, 66413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtt when three letters picked without replacement from qqqttq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = x + 3*o, -4*o - 3 = -15. Suppose -x*w + 15 = -5*f + 9, 0 = -2*f. Solve -i + 7 = -w*r - 0*i, 5*r + 4*i = -37 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 8*d**2 - 6*d - 5. Suppose -5*k + 2*p = -53, 5*k + 16 - 57 = -p. Does 12 divide y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -a9b?\nAnswer: aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 + 7*b - 1. What is s(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1048 = -47*c - 127 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = p - 11, -p + 14*m = 9*m + 19. Let d = -0.8 + 1. Which is the nearest to d? (a) -2\/3 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-9))\/s**3*(s*s*s\/(s\/s**(-2\/17)))\/(s*s**(-8)) assuming s is positive.\nAnswer: s**(270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b159 - -3?\nAnswer: -2b156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468065 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*g + 18 = 0, 0 = 2*g + g. Suppose k = 5*m - 16. Suppose 5*o + 2*f = 295010, -2*o + f - m*f + 118020 = 0. Round o to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:46 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, n: 5, s: 3, v: 4, w: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 2}. Give prob of sequence jjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/5 - 6\/15. Suppose -3*t + 17 - 3 = -p*b, t = -4*b + 14. Calculate the remainder when 27 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.3 + 24.73. Let u = w - -12.5698737. Round u to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -4*q**5\/25 - 71*q**4\/5 - 1306*q**3\/15 - 60*q**2 + 1666*q. Let k(z) = 0. Calculate z.\nAnswer: -50, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2776426 is divided by 2139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:41 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1596\/17 - 20782\/221. What is the third biggest value in w, -0.11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3733659 to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbhcbznch. What is prob of sequence bh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4384832?\nAnswer: 2, 131, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 4 + 27 = -121 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 57. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 - 2*m**2 - 3 - 19*m + 19*m to the form x + l*m + i*m**2 + w*m**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -60. Let w(h) = h + 14. Let l be w(-12). What is the third derivative of -4*o**l + m*o**2 + 63*o**6 - 77*o**6 + o**2 wrt o?\nAnswer: -1680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1700)*2*3 - ((sqrt(1700) - (0 + sqrt(1700))) + sqrt(1700))*3)*-2*5 + -1)**2.\nAnswer: 600*sqrt(17) + 1530005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3505 and 565707.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 137*b + 1507. Let k be p(-11). Which is greater: -3\/605 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 6. Let j(b) = 148. Let s(d) = 443. Let t(o) = 3*j(o) - s(o). Determine -n(i) - 8*t(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 419*q - 7542. Let a be c(16). Is -847 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/6*3*-20. What is the hundreds digit of (8040\/q)\/(4\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*1833\/(-940))\/((-15)\/80)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 and 31\/347716.\nAnswer: 347716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 111\/39 + 6\/39. Suppose 55 + 143 = 2*x - y, -495 = -5*x - q*y. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.68 + 3.38. Let d = y + -0.7. Let q = 2 - 3. What is the nearest to q in -1\/2, -1\/3, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2564\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04573 rounded to three dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.073 in 5, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/26 and 87\/16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.5 = -2530346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3684707\/240 - 15353. Find the common denominator of a and -173\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1900) + (-2 + sqrt(1900) - sqrt(1900)) + -2 - (sqrt(1900) - ((3*sqrt(1900) + sqrt(1900) - sqrt(1900))**2 + -5))).\nAnswer: 17094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*v**2 - 2 + 2 + 25*v**2 in the form s*v + k + b*v**2 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71900370 divided by 13278.\nAnswer: -5415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/8*(3 + -3) - (-1 + 16 + 7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t - 14. Let f = 21 + -22. Let d(v) = -15*v**3 - v - 2. Calculate the lowest common multiple of d(f) and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19708555.\nAnswer: 5, 3941711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 164915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24.27 and -3?\nAnswer: -72.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 7:33 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/165 and -38\/7.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 1, x: 1}. What is prob of picking 1 n and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3))\/((-8)\/8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 57 + 15 + 61 + 122 - 4*b.\nAnswer: -4*b + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/176053 or -1?\nAnswer: 2\/176053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*n**3 + 0 + 1\/4*n**2 + 1\/4*n - 1\/4*n**4.\nAnswer: -n*(n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8720 > -8721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*3\/(-207))\/((64\/56)\/(312\/(-364))).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 + 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (73 - -5)*((-54)\/12 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552 and 22857528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 12*s**2 - 12*s + 21. Let j be c(-11). Let o(w) = -5*w + 6. Let t be o(6). Let b be 18\/4*j\/t. Let u(m) = m**2 + 7*m + 3. What is u(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.2 + -4. Let y = 0 - j. Suppose -14 = -5*m - o, 0*o = 3*m + o - 8. Which is the nearest to -1? (a) m (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16862400 less than -16862398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5\/a)\/(a\/(a*a**9\/a)))**(-2\/7)\/((a\/(a*a**(2\/13)))**(-1\/8))**(-2\/61) assuming a is positive.\nAnswer: a**(-38057\/11102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41d + -2?\nAnswer: 41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 - 3*h - 13. Suppose -3*y + 12 = t, 4*t + 5*y = 6*t + 9. Let o be l(t). Which is smaller: 8 or o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {q: 1, h: 3, d: 7, g: 1}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 102 = 3*t + 2*x, -84 = 576*t - 579*t + x for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**2. Let n be o(-1). Let g be ((-4)\/(-12))\/((-1)\/n). Let a(f) = 4 + g*f - 3*f - 2 - f. Calculate a(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 447, 436, 409, 360, 283, 172?\n\"Answer: -z**3 - 2*z**2 + 2*z + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + -0.94. Let t = l - -2.05. Round t to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -0.1, 87, 2, 6.\nAnswer: -0.1, 0.1, 2, 4, 6, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3016 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + i**2 + 7 - 6*i**2. Let a(s) be the second derivative of 17*s**4\/12 - 15*s**2\/2 - 37*s. Let g = -5 - -18. Determine g*h(f) + 6*a(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/224*(7146\/285 + -25)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 98 = 3*h, -5*h - 2*n + 152 = -n. Let x = 36 - h. Let k be (6\/15)\/(x\/(-5)). Do -13 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -684\/185 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/185504 + 1844983\/1865613728. Let d = -13653\/148627756 - -18486056869007\/12705369407782. Let a = d + x. Find the common denominator of a and 99\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssusussszsszzussuzss. Give prob of picking 2 z and 2 u.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2218?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 2. Suppose -3*h + 6*h = 5*x + 7, 0 = h + x - 5. Let l be z(h). Let r = l - -2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 0.0497.\nAnswer: 0.06461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 160*m - 8845.\nAnswer: 5*(m - 29)*(m + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 18*u**2 + 13*u + 20. Suppose -14*y + 21 = -16*y - l, -y - l = 13. Is z(y) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101011 + 101001101?\nAnswer: 1010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/2149 and -6\/148895?\nAnswer: 1042265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -431 + 4*a + 14*a + a - 29*a + 8*a - 905*a**2 wrt a.\nAnswer: -1810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, -506, -1376, -2246?\nAnswer: -3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 5*u + 2. Let j(o) = -2*o**2 + 18*o - 38. Let h be j(4). Let d(a) = 2*a**2 + 6*a - 3. What is h*d(x) + 3*q(x)?\nAnswer: -2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -11. What is the nearest to m in -3, 6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14841919.7 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*-1*(-4)\/8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1127736 and 107\/216.\nAnswer: 1127736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 30*a**3 + 52*a**3 + 4*a**3.\nAnswer: 88*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/46302 and 15\/181835671.\nAnswer: 1091014026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + s**2 + s + 5. Let k be i(0). Solve -q + 13 = 4*o, 3*q + 9 = -k*o + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*k - 17*k**2 - 92*k)*(16*k - 12*k + 23*k).\nAnswer: -459*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4))\/(sqrt(4) - (sqrt(4) + -1*(sqrt(64) + sqrt(4) - sqrt(4)))))**2 - ((sqrt(432) - sqrt(432)*3)**2 - sqrt(36)\/sqrt(192)).\nAnswer: -6909\/4 + sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + -0.16. What is the nearest to 1\/2 in 3, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1995 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*y - 10, -4*m = y + 2*y - 35. Suppose m*n = -5, -5*n + 15 = -2*j + 228. Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 + 6\/9. Let p = -403.1063 + 0.1063. Let t = 402 + p. Is f bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 3*m - 5. Let j be (-6)\/(((-42)\/84)\/((-2)\/4)). Determine w(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179885398 to the power of 1\/4, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6051496269 to the power of 1\/2, to the nearest integer?\nAnswer: 77791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 417334963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*u**4 - 3*u**2 + 154 with respect to u.\nAnswer: 84*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 390 = -3*n - 3*f, 3*n - 4*f = -362. Let j = n + 42. List the prime factors of j\/(-9) + 1\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhrr when four letters picked without replacement from rrrrjrhjrhrrjrr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m**2 - 11. Let q(j) = -4*j**2 + 2. Suppose 5*p = 2*p. Suppose 0 = 4*a - 0*a + 8. Let z = p - a. Give z*v(w) + 11*q(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 + 285*p - 877. Calculate c(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + sqrt(684) + 2)*-4 - sqrt(684))**2 + -4*sqrt(684)*-2 + (-5*sqrt(684)*2 + 4)**2.\nAnswer: 432*sqrt(19) + 123884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 12:03 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -601*w**3 - 27 + 311*w**3 + 23*w**2 - 20*w**2 + 302*w**3 + 2*w in the form b + h*w**2 + p*w + r*w**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 11323835.7 to the nearest one hundred thousand.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Suppose -z - 8*m + 3*m + 32 = 0, -5*m = -z + 12. Let x = 25 - z. Solve s + x*u = -6 - 3, -y*u = 2*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283\/25850 = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**4\/2 + 4693*l**3\/4 - 7407*l**2\/4 + 750*l - 79 = 0.\nAnswer: -158, 1\/6, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*c + 3*c**2 - 2 + 316*c**3 + 3*c - 282*c**3 + 7*c as v*c + l*c**2 + a + x*c**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3911*c + 2. Let o(p) = 3*p. Give o(v(f)).\nAnswer: -11733*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5504477*v**2 + 6. Let l(n) = -n**2. Determine i(l(a)).\nAnswer: -5504477*a**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/9 - 2*d**3\/9 - 34*d**2\/9 + 14*d\/3 + 8 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -629760441 - 12.\nAnswer: -629760453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 w when three letters picked without replacement from fmfebew.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6860?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*(-492)\/246.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (2 + 8 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 44 = 52. Solve -1 = p + u*d - 5, 4*p = -d + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y + 5*p + 8, -2*y - 2*p = 12. What are the prime factors of 3 + (-1700)\/(-15) + y\/(-3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22959, -23050, -23141, -23232?\n\"Answer: -91*x - 22868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257 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 y(u) = 10*u - 8*u + 3*u + 3. Let d be (0 - 1) + (-14 - -12). What is y(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 719 in 0.02, -6, -0.01?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.815413 to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c + 2*c**2 + 32*c + 2*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -1\/2, 3, -0.1, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*t - 18, -2*t + 3*t - 8 = i. Suppose 4 = -2*j + t. Suppose 2*z = 4*o - 0*z + 22, 0 = 3*z - 9. Sort -3, o, j, -5 in decreasing order.\nAnswer: j, -3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and 39\/574?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:51 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1454248 and 121\/21420680.\nAnswer: 792565160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 + 178. Suppose l + 36 = w. Let o be 4\/14 - 166\/(-7). What is the highest common divisor of o and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z + 2. Let a be h(5). Calculate the remainder when a*1 - (0 + -3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 5)*(-279*u - 16*u - 41*u + (-2 + 0 + 0)*(-u + 3 - 3)) to the form p + i*u and give i.\nAnswer: 2338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22217?\nAnswer: 13, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4725 = -5*u + 2745. Is 15\/(-35) + u\/7 + 2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122881082 less than -0.4?\nAnswer: -0.522881082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.487663 litres?\nAnswer: 8487.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1797 - 1061. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 609855?\nAnswer: -1\/203285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*m = 525*m + 2590. What is the highest common divisor of 481 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -13 - 1) + (-14 - -108 - 87).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 68*c**3\/9 + 56*c**2 - 144*c.\nAnswer: 2*c*(c - 2)*(c + 18)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -26. Let v = -6 - r. What is the second smallest value in v, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 27368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 597. Calculate i(129).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 130. What is i(-37)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 116. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4) + 9\/2. Suppose p = g*p - 10. Suppose c = p*c. Solve 1 = 4*w - 3*w, c = 5*u - 2*w - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 + 77 = 29*m. Sort 4\/3, 0.4, 3\/2, m in increasing order.\nAnswer: 0.4, 4\/3, 3\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1090?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 169*s**2 + 0 - 177*s**2)*(-3*s - 3*s + s) in the form x*s + u*s**2 + k*s**3 + q and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -990 by -9.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - g = -4*g + 145305, 48429 = z + 4*g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402016 (base 8) in base 5?\nAnswer: -13211420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaow when four letters picked without replacement from vaoonwvnawnnnnnon.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 28. Let l = 28144 - 28157. What is j(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1040 = -15*i + 10*i, -i = 2*h - 421. Is h a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2305 * -2.652\nAnswer: -6112.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*((2 - 2) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3\/((-12)\/(-8)) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -15, 0, -0.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8 = o. Let q be (o\/6)\/((-8)\/(-6)). What is the closest to 0 in -0.3, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 3:53 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(2079\/(-11))\/(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938 is divided by 663?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 17*y**2 - 14*y - 26. Let q be z(-13). Let n be q\/(-234) - (10\/(-12))\/5. Solve -3*f = -u - 8 - n, 2*u + 3*f - 17 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78914\/45 - -7911\/5. Let l = g - -171. Which is greater: l or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (440\/(-154)*(-161)\/(-115))\/(1*47)?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:28 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60226 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + u - u - 2 + 3 as v*u**2 + f + r*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = -3*n + 711, -4*n + 5*q = -948. Let i = n + 53. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-165)\/198 - 10\/(-12). Which is the third biggest value? (a) -0.3 (b) -1 (c) 19 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -226, -1512, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 258 + 394*a - 96 - 178*a - 218*a - 105.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3. Let o = -149 - -148. Determine f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3891 - -3890.98. Which is the biggest value? (a) -0.07 (b) 3 (c) -2\/13 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 93*y - 910 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181 (base 16) to base 8.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*o - 33057, 17*f + o + 44041 = 21*f. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56271, 75929, 95587, 115245?\nAnswer: 134903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/(265\/(-371))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -1. Which is the nearest to -1? (a) g (b) 3 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5990?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and 667890?\nAnswer: 15361470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 2, b: 8, t: 1, w: 7}. Give prob of sequence kw.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -21596*a + 1986817. Calculate q(92).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 3*z**2 - z - 2. Let b be i(-2). Let t = 37\/3 + b. Sort -0.5, 4, -2, t.\nAnswer: -2, -0.5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)\/(i\/i**7*i*i)*(i**(-2\/21)\/i)\/i**(-4) assuming i is positive.\nAnswer: i**(124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -4.9. Let i = u - -3. Let s be ((-15)\/(-12))\/((-1)\/4). Which is the biggest value? (a) i (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746962469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 - k + 2)*(2 - 3 - 1) to the form m + t*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*u + 12136 = -386*u - 431*u for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 + -3b410a?\nAnswer: -3b4096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*l - 68*l - 126 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(2\/(-10) + (-14)\/(-20)). Solve r*h = -4*d + d + 8, h + 1 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43877108 + -75.1?\nAnswer: 43877032.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2716, -1821, -922, -19, 888, 1799, 2714?\nAnswer: 3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -58758?\nAnswer: 5875c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20949552 by 35568.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1335 + 1335.4. Suppose 13*r + 25 = 18*r. Which is the closest to -1\/4? (a) o (b) 26 (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5060 and -74.\nAnswer: -5134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 7. Let r(z) = 1. Let k(w) = 2*a(w) - 14*r(w). Let f be 4\/(-2) - (4 - 6). Let g(j) = f*j - 2*j + 0*j. Determine g(k(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -21. Let a = -7 + -16. Let s = a - -36. What is the remainder when m is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2184)\/234*(-1 - 0))\/(4\/(-6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from yooooooooooo?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809683?\nAnswer: 1809683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 25. What is the remainder when 314 is divided by h?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**3 + 2\/7*w**2 + 1\/140*w**5 + 6 + 1\/70*w**6 - 1\/294*w**7 - 1\/12*w**4 + 6*w. Determine r, given that n(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/(1650\/4125)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 - 180. Let x = 20632.0025 + -20581. Let r = z - x. What is r rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -222?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 6) to base 15.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeddev. Give prob of sequence eeev.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 2*a + 0*a + 0*a - a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -310*k**4 + 4087*k**3 + 57664*k**2 + 97277*k + 1554 = 0?\nAnswer: -7, -2, -1\/62, 111\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 394a + -a40?\nAnswer: 2b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2097 - 2613.3\nAnswer: -516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2 + 0 + k**2 - 1 + 4*k. Let g be ((-75)\/(-15) - -10)*(2 + 60\/(-25)). Determine c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 5*z**2 - 1. Let d(h) = -4 + 2 - 1 + 2 + 49*h. Let f be d(1). Let o be f\/(-9) - 3\/(-9). What is b(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*r = 6*t - 96, 0 = -r + 3. Let a(m) = 7150*m + 93330. Let l be a(-13). Calculate the highest common divisor of t and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**3 - 40*c**2 + 21*c - 52. Let x = -45 + 79. What is the remainder when l(5) is divided by x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 16*d**2 - 19*d + 34. Let w be j(17). Which is smaller: w or 4\/2281?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6207*j + 14490*j - 647*j - 801*j to the form c + b*j and give b.\nAnswer: 19249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqfu when four letters picked without replacement from {f: 2, q: 4, u: 2, n: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504681.\nAnswer: 3, 168227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471c (base 13) to base 10.\nAnswer: 9996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/197 - 25\/21867. Suppose 0 = f + 2*o + 1, 2*f + 19*o + 2 = 17*o. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-2)*(-8)\/24\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, o: 2}. Give prob of sequence of.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2858*b. Let p(l) = -11011860*l. Let h(t) = -4*p(t) - 15411*x(t). Let j(s) = 2*s. Give h(j(c)).\nAnswer: 5604*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4682 + 126391\/27. Find the common denominator of f and 27\/11.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 316757155 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, n: 7, r: 4}. What is prob of picking 2 n and 2 r?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13863 - -123325\/9. Let w = 160 + l. Which is the nearest to -2? (a) w (b) 4 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207558692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 139*w**5 - 328*w**5 + 194*w**5 + 965*w**3 + 725*w - 8000 - 110*w**4 + 8475*w - 4220*w**2.\nAnswer: 5*(w - 5)**2*(w - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077*y + 508*y + 521*y - 1296 = 0 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7022, -7025, -7038, -7067, -7118?\n\"Answer: -d**3 + d**2 + d - 7023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1356 - 1) + -24 + 992\/32?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 190\/19 - (15\/(-3) + 0). Is 15864\/l - 3 - (-10)\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*0*-1. Let z = -2 + o. Let t be (-92)\/(-6) - z\/3. Solve 4 = -4*l - t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21129, 171521, 579723, 1374639, 2685173, 4640229, 7368711?\n\"Answer: 21484*x**3 + x**2 + x - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 2767, -4, -1 in increasing order.\nAnswer: -4, -1, 142, 2767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*f + 1. Let p be ((-2)\/6 - 0)*-3. What is the units digit of 4 + f - p*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2\/(1 + -2). Let m be ((0 + 0)\/1)\/2. What is the closest to m in r, 0.3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0 - 4. What is the highest common factor of u and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 69*d**2 + 34*d - 148. What is the ten thousands digit of l(-55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46148981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 18*a + 64. Give w(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12602, 50433, 113530, 201893, 315522, 454417?\n\"Answer: 12633*r**2 - 68*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.086 - 39.914. Let t = 39.999814 + v. Round t to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4375044426 to the power of 1\/2, to the nearest integer?\nAnswer: 66144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210220 - -212020101?\nAnswer: 210102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 54*r**2 - 18*r - 18. Let l(f) = -f**2 + f + 1. Suppose 0 = 124*d - 70*d + 972. Calculate d*l(t) - w(t).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2960 + -6?\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -33. Suppose c + 14 = 4*p, 0 = h*p + 4*c + c - 26. Suppose i = -4*i + 4*f + 620, p*i + f = 496. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458341873.\nAnswer: 1201, 1214273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.09, 1, -163, 5, 0.4, 221 in decreasing order.\nAnswer: 221, 5, 1, 0.4, -1.09, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Solve 0 = n*j - 3*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125097?\nAnswer: 1125097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*sqrt(33)\/sqrt(3) + 2)**2 + -3 + sqrt(44)\/(sqrt(4)*2*2 - sqrt(4))*6.\nAnswer: 18*sqrt(11) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5559*x + 25540*x + 16670*x - 11237*x to g*x + j and give g.\nAnswer: 36532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 16*d + 25 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*o - 1 = 0, -i + 4*o - 12 = -5*i. Calculate the lowest common multiple of i and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/54655 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7762 - 9989 = -97*w. Solve 184*h = w*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*v + 8*v**3 - 44*v**3 + 35*v**3 - v**2 in the form w*v**2 + t*v + d + g*v**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 124861.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 40. Let i be w(-11). Let b = 19\/23 - -1\/138. Suppose 18 = 27*r - 29*r. Put b, r, -3, i in descending order.\nAnswer: i, b, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-18)\/j)\/(j\/(j*j\/j**(-32\/7))))\/(j**13*j\/(j\/(j*j\/(j\/(j\/(j*j\/j**(-2)*j)))))))**(-1) assuming j is positive.\nAnswer: j**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 15 = -x. Suppose -5*i + 11 + 2 = -3*g, x = 3*i. Let k(a) = a**2 - 6*a + 5. Let h be k(g). Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 1. Let c be f(0). Let o be c\/(-3)*30\/5 + 1. Suppose -o*n = -0*n + h - 167, 16 = -4*h. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106 and -93.6?\nAnswer: -9921.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 30*u**2 + 114*u + 638. Give a(-33).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3179 in -0.46, -6, 2, 2\/11, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -562506000 rounded to the nearest one million?\nAnswer: -563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, q: 13}. What is prob of sequence bqb?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Suppose 5*t + 7 + 14 = -2*k, 0 = 4*k - t - 13. Let g(y) = y**2 + 2*y**2 - 7*y**k. Calculate i(g(p)).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*10\/(-225)*18)\/((-28)\/(15680\/(-24)))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-11 - -14)) + (0 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, -17, 3 in descending order.\nAnswer: 3, 1, -0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.01 (c) -0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5978)\/(-9360) + (-12)\/27 and -43\/4290.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 3, -3, 2, -2 in decreasing order.\nAnswer: 3, 2, -2, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 8*o + 33*o - 11*o - 6*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 10:37 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 0. Are f and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 25*o + 4. Let j be s(-25). Find the third derivative of -12*m**4 - 65*m**4 - 97*m**4 + 40*m**j - 70*m**2 - 85*m**4 wrt m.\nAnswer: -5256*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236827 less than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3 + 3 - 35039*o**2 + 1 + 35038*o**2 - o. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/3108160 and 1\/339072?\nAnswer: 18648960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 >= 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22619.73 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1612\/91 + -18 - (-4)\/(-35)) + 0. Let v = -16 + 23. Let j = v - 3. Which is the third smallest value? (a) j (b) 0.6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 482, 725?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z = 56*z + 120. Let j(d) = 3*d. Let q be j(-4). Is z not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*u = -6*z + 636, -3*u = 2*z - 340. Suppose -134 = -2*y + z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 66a5 + -82?\nAnswer: 6623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxqqqxqqq. Give prob of sequence qq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**3\/8 - 387*n**2\/8 - 19761*n\/4 - 36234 = 0?\nAnswer: -61, -8, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 4374550 - 3*j**2 - 4374550 - 10*j.\nAnswer: 2*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s - 119 = -464. Solve 0*c = 4*i - 4*c + 12, -3*i = s*c - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24367595 divided by -4.\nAnswer: 24367595\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 8, 3 in increasing order.\nAnswer: -3, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -z + n - 5, 0 = -3*n - 12. Let a = z + 1. Suppose 4*f = -2*d - 6, d = -a*d - 4*f - 9. Which is greater: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -26, -1477 in decreasing order.\nAnswer: -26, -38, -1477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200357657 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-14))\/((-14040)\/(-117936)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 4. Let q be m(-13). Let d(n) = n**3 + 4*n**2 - 5*n + 5. Let w be d(-5). What is the third derivative of -i**2 + q*i**5 - 2*i**w + 7*i**2 wrt i?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 4, p: 5, a: 4, l: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (9 - (4 - (-14 + 2)) - -19 - 62).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -565 (b) -1 (c) 2 (d) -0.3 (e) -173\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t + 7*y - 20 = 0, 4*y - 5 = -t. Suppose 3*x - 9 + 0 = 0. Solve -x*s = -4*s - t*j + 19, -2*j = -6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -339385\/567 - -4194\/7. Let g = 34155\/4 - 614935\/72. Calculate the common denominator of k and g.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 - -183.6. Let p = 95 - x. Let b = -40 + p. What is the closest to -1 in 1.4, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -69402768 and -69402768 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h + 32221*h**3 + 64*h - 21*h - 26*h.\nAnswer: 32221*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 198620.\nAnswer: 1986200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, l: 3}. What is prob of sequence kklk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41465*u**2 - 6*u - 1060 wrt u?\nAnswer: -82930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c (base 14) to base 10.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 >= -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4379840005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204 + -200. Solve 5*i = t*u - 28, 3*u + 3*i = -0*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7162.951 meters in centimeters?\nAnswer: 716295.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24730.3*11.\nAnswer: -272033.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 6*w - 2. Let b be d(6). What is the tens digit of (3\/4)\/(b\/(-192))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:39 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 0*w + 0*w)*(1 - 7 - 4)*(-2*w + 4 - 4) in the form v*w + h + r*w**2 and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.9 + -0.1. Suppose -5*i - 14 = 32*t - 35*t, -3*i - 20 = 4*t. What is the nearest to -6 in 2, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)\/((o*o*o**4*o*o)\/o)*o**(1\/2)\/(o*o\/(o\/(o*o**(1\/4)*o*o))))**(-22) assuming o is positive.\nAnswer: o**(3223\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 6*g = 42, 3*r + 2*g + 13 = -21 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -551 by -2.\nAnswer: 551\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 4*p + 14 = 0. Let n(m) be the first derivative of m**p + 2\/3*m**3 - 2*m - 3 - 1\/2*m**4. Determine s so that n(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/1080 + m**4\/18 + 59*m**3\/6 + 146*m**2. Let o(b) be the first derivative of t(b). Find f, given that o(f) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5560465 - -55?\nAnswer: -5560410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhhhhhhhnnhhhhhhnnhh. What is prob of picking 1 n and 3 h?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.76 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 579*m - 43991. What is j(76)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 3. Let x(r) = 4. What is -3*x(p) - 2*z(p)?\nAnswer: -2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3575.999998001 + -3576. What is j rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 + 23*k**2 + 13*k + 9. Calculate t(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 0. Let z = x - 10.9. What is the third biggest value in 3\/2, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.110001ns in seconds?\nAnswer: 0.000000005110001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7159 - -6627.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/153171 and -64\/153171?\nAnswer: 153171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 - 6662*m**2 - 13328*m = 0.\nAnswer: -2, 0, 6664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272900*i**4 + 10*i**2 + 676.\nAnswer: 6549600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3705)\/114*16\/(-52).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5135 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a decade in years?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15235*4.\nAnswer: 60940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*h**4*r + 33*h*r**3 - 2*h + 2*r**3 - 150*r**2 - 1 wrt h.\nAnswer: -68*h**3*r + 33*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f**2 - 3*f + 20. Calculate b(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 159 (b) 2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 730, 29, -7, 3, 4 in descending order.\nAnswer: 730, 29, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v - 3 = 0. Let n(r) = r**3 - 11*r**2 + 9*r + 7. Let m be n(10). Let g = v - m. Solve g*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 - 0.6. Let h = 0.0381 - -0.4619. What is the third biggest value in 4, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/4 + 463*l**2\/4 - 108*l - 3465 = 0.\nAnswer: -5, 6, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 5577 - 4611. Solve z - 36 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -157 + -9?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 4*g + 3. Suppose -5*k = -1 + 11. Determine y(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03526 minus 15112?\nAnswer: -15112.03526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -88 + 28. Suppose -h + 2*y - 100 = 2*h, -192 = c*h + 3*y. Which is smaller: h or -35?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4 - 7*s + 2*s - 3. Let k(h) = -6*h + 1. Let n(w) = w. Let d(f) = 2*k(f) + 6*n(f). Calculate 3*d(z) - 4*t(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -3\/16, -16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -62. Suppose -2 = -p*m + 4. Which is greater: 5\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31519124 and 27016392?\nAnswer: 189114744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*z + 7*r - 44, 1178*z - 1182*z - 2*r + 62 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/14*4\/15*15. Let v(b) = b**2 + 11*b + 46. Calculate the remainder when 30 is divided by v(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4087397921?\nAnswer: 4087397921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-24)*(-810)\/27 + (-5814)\/(-76)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19143838*l**2*o + 3*l*o - l + 34982*o - 14 wrt l.\nAnswer: -38287676*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -324\/2048321 or -1?\nAnswer: -324\/2048321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 129801, 519811, 1169833, 2079873, 3249937, 4680031, 6370161, 8320333?\n\"Answer: x**3 + 130000*x**2 + 3*x - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 + 90*n\/7 + 88\/7 = 0. What is n?\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 14 = 14*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (63\/(-6) - 3)*-2 + -5. Calculate the highest common factor of j and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from mamamacammm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*b**2 + 6*b**5 - 54*b**2)*(-204 + 22 - 47 - 5 + 5 + 2 + (-3 - 7 - 1)*(-1 - 2 + 2) + (-2 + 7 - 3)*(1 - 3 + 3) - 7 + 4 + 1).\nAnswer: -1296*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532779 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -57 + -3 + 15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/30)\/(2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16608 = 3*r - 3*l, 31*l + 12 = 27*l. What are the prime factors of r?\nAnswer: 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/12 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.979869 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*x + 6 = 0. Suppose 0 = -n + 2*y - x, -n = -y + 4*y - 14. Calculate the greatest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 11. Let u be o(-8). Suppose -9*k + 4*k = -10. Suppose 3*j + 11 = -1. Put k, j, u in decreasing order.\nAnswer: k, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 177056?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/49)\/((-7)\/(-98))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*c + 3*p, 717424*c + 103 = 717401*c + 3*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -38*o**6 + o**3\/3 + o**2\/2 - 109. Find the third derivative of q(v) wrt v.\nAnswer: -13680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 13) in base 12?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11446620 and 37630?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386 is divided by 1343.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 58*n**2 - 2*n - 2. Let x(s) = 930*s**2 - 33*s - 33. Determine -66*b(p) + 4*x(p).\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 8, 1\/4, 5, -11\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 327270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*y + 4 + 14, 0 = 3*i + 6. Let x be -4 + 0 - -210002*(4 - y). Round x to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394 - 28*m + 83*m + 385 - 779.\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 11*s + 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14*p + 12. Let q = -10 + 6. Let g be d(q). Let n = 103 - g. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 41.62. Let h = o + -0.55. Let q = h - -0.57. What is the second smallest value in q, -2\/5, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 - 68*s + 28. Let h(g) = -g**2 + 24*g - 9. Let n(v) = 8*h(v) + 3*x(v). Suppose -11 = -u - 3*d, 2*d - 23 + 1 = -2*u. What is n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 591618 and 44394.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7394*h**4 + 536*h**2 - 14780139*h wrt h?\nAnswer: -88728*h**2 + 1072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.025 (b) -0.2 (c) 4 (d) -2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/60 - 23*a**3\/2 - 11*a**2 - 3. What are the prime factors of b(14)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let f be 8906\/6 + 4*(-1)\/12. Suppose 0 = -i + 3*g + 732, 0 = 2*i + g - 2*g - f. Let p(r) = 744 - 26*r - i. Calculate a(p(x)).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4160)\/(-210))\/26*6\/8. Factor -v*p + 10\/7*p**4 + 0 - 2\/7*p**5 + 2*p**2 - 18\/7*p**3.\nAnswer: -2*p*(p - 2)*(p - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 9)*6\/18. Let y be ((-64)\/(-6))\/(g\/(-18)). Let b = y - 27. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 16 = 50*r - 46*r, 29 = -4*a - 5*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698 is divided by 476.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29523910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140.6107 - -0.2893. Let o = h + -147. Let c = -6 - o. Sort c, 3, -1.\nAnswer: -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 13*u + 20. Calculate i(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1473, 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 9310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 74?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -610 - 485. Calculate the remainder when x is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29256816 plus -517.5078?\nAnswer: -29257333.5078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 5*t**3 + 6*t**2 + t**3 - 2*t**3 + 5*t**3. Let p be q(6). Let m be 8\/(-60)*-5*p. Solve 8 = m*u + 4*j, 10 = 5*u - j + 3*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 63*h + 3496. Give d(-60).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -98*49\nAnswer: -4802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/180 - 47*s**4\/72 - 34*s**3\/3 - 574*s**2. Factor b(n).\nAnswer: (n - 51)*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 x when three letters picked without replacement from {h: 2, x: 1, s: 1, u: 1, f: 1, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1*34\/(-34)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*u = -28, 11 = -5*u - 9. Suppose -d*z = -2*b - 18514, -6*b = -z - 2*b + 9251. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 5) in base 8?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*b + 9 = 180*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 171. Let t = 177 - v. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2\/17, 3\/8 in decreasing order.\nAnswer: 4, 2, 3\/8, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/26)\/3)\/(508\/33020)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7476 + -4311. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34105 = 16*a - 45155 + 5324. Is a a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6, 39\/4, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**2. Let l(i) be the third derivative of -7*i**5\/20 - 3*i**2 + 18. Determine l(y(h)).\nAnswer: -756*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(684) + sqrt(684) + 0)*-4 + 4*-2*sqrt(684) - (-3 + ((sqrt(684) - 2*sqrt(684)) + 0)*1))**2.\nAnswer: 360*sqrt(19) + 153904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 54736, 103, -1 in ascending order.\nAnswer: -1, 6, 103, 54736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + -2 + 4)**2.\nAnswer: 64*sqrt(2) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9010381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**3 - 99*r**2 - 187*r - 84. Let q(p) = 2*p**3 - 2*p**2 + p - 28. Let d(o) = 12*q(o) - 4*s(o). Factor d(f).\nAnswer: -4*f*(f - 95)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 5:23 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 5. Suppose 3*d + 2*z - 26 = z, -2*z = 2*d - 24. Let y(l) be the first derivative of -17*l + d*l + 12*l + 28. Give -4*v(t) - 11*y(t).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2291188.\nAnswer: 5\/2291188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10618259.\nAnswer: 10618259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -2*r**2 + 0*r + 0 + 19\/6*r**3 - 3\/4*r**4. Find the first derivative of y(v) wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2 + 4*k + 653. Let v = -4 - -4. Let s be n(v). Solve -s = -4*d + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + 1*(sqrt(171) + -2)*2)**2 + 5.\nAnswer: 12*sqrt(19) + 691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -3322.4?\nAnswer: -3327.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4644*r - 2797. What are the prime factors of u(-7)?\nAnswer: 11, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629705730?\nAnswer: 2, 5, 47, 97, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {x: 2, g: 1, d: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 8*i + 8. Let s be c(10). Let h = -13 + s. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (33 - (1 + 19 - (42 - 31)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 - 2.8031?\nAnswer: -552.8031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -3, -257, 23, 4 in descending order.\nAnswer: 23, 12, 4, -2, -3, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0 - 4*l - 2 - 6*l + 3*l + l. Let q(m) = 3*m + 1. Determine -3*d(b) - 7*q(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12 (b) -4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.116014l in millilitres?\nAnswer: 3116.014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.1122ml to litres.\nAnswer: 0.8561122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 0*z = 5*j - 71, z + 7 + 7 = 4*j - 7 - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/11)*u**(-3\/4)*u)**46\/((u*u\/(u**(1\/3)*u))\/(u*u**15))**(5\/2) assuming u is positive.\nAnswer: u**(4945\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 428408801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 24*f**2. Let b(i) be the third derivative of -i**4\/24 + i**2. What is u(b(j))?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8\/7)*(s\/s**(-42))\/s)\/((s**(-9)\/s)\/((s*s**(-15)\/s)\/s)) assuming s is positive.\nAnswer: s**(244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 12*a + 2*p - 10 = 0, 0 = -2*a + 3*p - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25954471.664 + -26312398.590103. Let f = c + 358120.926. Let k = f + -194. Round k to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 9. Let j be (-10)\/55 - 90\/(-11). Solve -c = b*c - j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11444 - 10?\nAnswer: -11454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82472 is divided by 133.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -13*r**6\/60 - 17*r**5\/60 + 15*r**2 - 23. Let p(w) be the second derivative of g(w). Find the third derivative of p(o) wrt o.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 5 - -2) + -7360002. Let o be (-6)\/8 - (-1 + f\/4). Round o to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 5)*(2*i**2 - 3*i**2 + 3*i**2)*(7*i**2 + 6*i**2 - 3*i**2) - 2*i**4 + i**4 - 4*i**4 in the form y*i**4 + w*i**2 + x + o*i**3 + n*i and give y.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 a when four letters picked without replacement from {o: 6, a: 4, b: 3, m: 4}?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let r be j(2). Let v(k) = -2*k**3 - 3*k**2 - 4*k - 6. Is v(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4)*(4 - 1 + 0)*(l + 196*l - 69*l) to v + z*l and give z.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -120721, -241418, -362111, -482800, -603485?\n\"Answer: 2*s**2 - 120703*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let c = -79 + 78.6. Let n = -0.09 + -0.01. What is the nearest to n in w, -3\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w = -5*l + 63*w - 12 + 3, 2*w + 10 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 67 = -g + 78, 2*g = 5*w - 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1032 + -1036. Which is the closest to -0.13? (a) -3 (b) 4 (c) -1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 1. Let r(p) = -18*p**2 + 2*p + 12. Determine -10*h(n) + r(n).\nAnswer: -8*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 * -42\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*z - 4*y, -3*z = -7*z + y. Put 1, -3, -5, z in decreasing order.\nAnswer: 1, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41978 + 86117. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2293232 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59643978*x**4 + 34276255*x.\nAnswer: 715727736*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-68) - (-148)\/(-476)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 73*q**2 - 397*q - 339. Determine l(67).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36373193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.33 - -4.63. Let q = j + 0.04. Let g = -2 - 4. Which is the biggest value? (a) 1 (b) 0.2 (c) g (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 3*q - 42, -a - a - 5*q - 13 = 0. Let i = -7 + 1. Let s = i - a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -815*m - 1231 with respect to m.\nAnswer: -815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 11 = 2*m - 0*x, 2*x - 2 = 0. Let z = -3 - -9. Is z not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 19*k**3 - 56*k**2 + 42*k - 3. Let s(f) = 54*f**3 - 161*f**2 + 127*f - 10. Let g(y) = 17*d(y) - 6*s(y). Give g(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 74*u - 1249. Calculate a(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*i**4 - 52447*i**3 - 14*i + 12014651 wrt i.\nAnswer: 56*i**3 - 157341*i**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 9*l - 40. Let q be c(3). Solve 5*i = -4*j + 21, -2*i + q*j + 5 = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 251866 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.331 and 364.\nAnswer: 120.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, c: 2, n: 3, l: 3, t: 1}. What is prob of sequence ctl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4424.96131 - 4425. Round s to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 + 4 = -4*l, -g - 3*l = -3. Let r be (-6)\/g + (-40)\/6. Let s be 1082\/(-6) + (-2)\/r. Round s to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(30\/4)*100\/20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 52 + 8*w - 2*w**2)*(4*w**3 - 2*w**3 - 4*w**3).\nAnswer: 4*w**5 - 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + 414\/72?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21202\/1593 - -38\/1593. Let y = -1\/1440 - -57631\/44640. Calculate the common denominator of y and a.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 261 = 5*q, 0 = q - 4*m + 33. Let v = 58 + q. Suppose -2*s = -3*x + 94, x + 4*s - 27 - 23 = 0. What is the remainder when x is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4576, -8074, -11564, -15046, -18520, -21986?\nAnswer: -25444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5259957 milligrams to tonnes.\nAnswer: 0.0000000005259957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {e: 2, f: 1, r: 1, h: 7, z: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 456*y**4 + 2*y**3 + y**2 - 10492*y wrt y?\nAnswer: 5472*y**2 + 12*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54266461 (base 8) to base 3.\nAnswer: -210212202101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 357 + 119. Suppose -s = -l - l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4 = 5*f. Suppose -4*q = -f*l + 152, -4*l + 4*q + 153 = q. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5354604*c + 159308 wrt c.\nAnswer: 5354604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 e, and 1 n when four letters picked without replacement from {e: 3, n: 1, l: 5, v: 1, c: 10}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -194 divided by -385797\nAnswer: 194\/385797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.14 (b) 2\/9 (c) 2756 (d) 12 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*x + 12, 54 = -2*a - 3*x + 64 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/8, -0.4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qanqenp. What is prob of sequence eann?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -248\/3 + 82. Let r = -1\/17 - -41\/119. Which is the nearest to u? (a) r (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/86436 and -173\/12348?\nAnswer: 86436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 + 173.35. Let i = v + 0.05. Which is the closest to i? (a) 0.03 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 435c45 (base 13) to base 10\nAnswer: 1583925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 4, 2, 11, 9 in decreasing order.\nAnswer: 11, 9, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 675 - 287. Suppose -5*i + c = -162. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8543.67 + 8544. Put w, 0.4, 0.5, -0.1, 0.3 in ascending order.\nAnswer: -0.1, 0.3, w, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 175*r + 877. Let a be w(-5). Solve 5*h + 0*h - 31 = 2*c, 4*h + a*c = 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 5*c**2 - 5*c. Let l(a) be the second derivative of a**5\/20 - a**4\/6 + a**3\/3 + a. What is 5*l(j) + 2*q(j)?\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 14*k**2 + 23*k + 80. What is the tens digit of x(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (-3 - (3 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71*285\/48564*(-2)\/(-5)*1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) -5 (b) -25 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2595161kg?\nAnswer: 259.5161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by -142.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26241 + 29239. Calculate the remainder when p is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + 8 - (12 + -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.12. Let x = g - -2.98. Which is the third smallest value? (a) 4\/3 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(21) - (1*sqrt(189) + sqrt(189) - sqrt(21)))\/(sqrt(42)\/(sqrt(6) - sqrt(6)*-2)) + -4.\nAnswer: -12*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*h + 117, -9*h = -5*a - 12*h + 191. Solve 17*v - a = 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10242361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -70*d**2 - 108*d + 4490. Let l(z) = 59*z**2 + 109*z - 4488. Let b(f) = -6*l(f) - 5*x(f). Differentiate b(g) wrt g.\nAnswer: -8*g - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g - 14 = 0. Let s be (-30)\/(-7) - (-4)\/g. Let n = -251 - -249. What is the closest to n in s, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -11, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48022 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 7*t**2 + 38*t - 38*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-3*u**2 - 2*u**2 + 3*u**2) + 2*u**2 + 4*u**2 - 4*u**2 - u**2 + 6*u**2 + 2*u**2 + 0*u**2 + 4*u**2 - 3*u**2 + (2 + u - 2)*(4 - 4 - 2*u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5) - -955*32\/800.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9)*3)\/((-20)\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let u be t*(-3)\/((-9)\/(-2)). Suppose u*c - 4 - 14 = -5*q, -q + 72 = 4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 34. Let m be a\/12*252\/(-8). Suppose 0 = 3*g + 2*l - 7*l - 39, -3*g + 4*l + m = 0. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 = -2*h + 3, 4*t = -4*h + 12. Suppose 0 = -2*i - u + 8, -6*i + 2*u = -t*i + 4. Suppose 1 = i*b + 3. Sort b, 1, 3.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -1021?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -655 + 1475. Let k be w\/36 - (-4)\/18. Suppose 3*g = k + 37. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 1175790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 4*k + 7*k + (-6 + 8 - 14)*(0 + 0 + 2*k) in the form x + c*k and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 22*p - 407. Suppose -4*f - p = -23*f. Solve -4 = 4*j + f*z, z + 7 = -j - z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*n + 11, -v + 2*n + 9 = 4*n. Let a = -9 - -14. Solve 0 = r + a*o - v, -3*o = -4*r - o + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:34 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 - 7*i + 2. Let u(n) = 5*n**3 + 6*n - 1. Let b(p) = 4*q(p) + 5*u(p). Let f be b(4). Let a = -42 + f. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/2*(1 + 0). Let w(c) be the third derivative of -c**4\/24 + 7*c**3\/3 - 6*c**2. Calculate the remainder when 3 is divided by w(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 3*p + 5*p + 4*p to the form b + m*p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*x - 5 = 4, -4*c = -2*x + 2. Let r = 29.92 - 30. Put 4, c, r in increasing order.\nAnswer: c, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 5871, 8, 1\/4, -2\/5?\nAnswer: 5871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 - s. Let f(a) = -119*a**3 - 2*a - 9. Let w(o) = f(o) - i(o). Find the second derivative of w(b) wrt b.\nAnswer: -732*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3\/3 + 5*o**2\/2 - 3033*o + 2. Let t(v) = v + 1. Give l(j) - 4*t(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -8*(-2055 + -14*8\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*r + 218*r + 51*r + 180*r to the form v*r + o and give v.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwf when three letters picked without replacement from {z: 2, j: 2, f: 1, w: 1, g: 2, s: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (38 + -5)\/((-3)\/52). Calculate the common denominator of v\/33*(-6)\/22 and (294\/24)\/((-5)\/4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(2 + f - 2)*(-6 + 6 - 3)*(3*f**3 - 4*f**3 + 2*f**3) as a*f**3 + q*f + c*f**2 + n*f**4 + h and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8267069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 12 = 11*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3872)*2*1 + 1)**2*-6.\nAnswer: -92934 - 1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.24 - -2.14. Let m = p + -1. Let t = -0.1 - m. Put t, 2\/3, 2\/7 in descending order.\nAnswer: 2\/3, 2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5929976 rounded to 3 decimal places?\nAnswer: -0.593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 762\/35 + -106\/5. Which is the fourth biggest value? (a) 0.4 (b) 1 (c) h (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21 + (4 - 18) + (1 - -467). Which is bigger: 465 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 5*t + 3. Let i be c(-6). Let d = 3.31 - 0.31. Let x = -1.5 + 1. What is the third biggest value in i, d, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 8*x - 3. Let k be u(3). Let p be (-6)\/((-18)\/(-10) + k\/(-90)). Let h be 0*(6\/p + 3). Solve -3*b + 2*b - 1 = h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 217154 and 2.\nAnswer: 217156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 28. Let k be y(-14). Let l(h) = 3*h + 173*h**2 + 1 - 4*h + k*h. Is l(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2\/3 - h - 40\/3 = 0.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 660 - 663. Let i(x) = 3*x + 5. Let z(v) be the second derivative of -v**3\/3 - 3*v**2\/2 - v. Calculate s*i(r) - 5*z(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3281465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - (-4 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/2*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 + 4*x - 3. Give l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1570 + 1574. Let a be (2\/(-21))\/(4\/(-6)). Sort g, 0.1, 0.4, a in increasing order.\nAnswer: 0.1, a, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7277 is divided by 97.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 745 = -l - 753, -l - 36 = -5*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250019?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, m: 1, o: 2, a: 1}. What is prob of sequence omas?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -41208\/19 at most as big as -0.126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 1)*(2*n + n + 2*n) + n + 2*n - 5*n - 2*n - 3*n + 6*n)*(-4*n**2 - 3*n**2 + 5*n**2).\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - -522. Suppose p - 685 = -3*o. Are 2\/47 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + j - 4 = 3*j, 5*j + 10 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -854438 (b) 1\/4 (c) -15 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6406 + -6190. Calculate the remainder when x is divided by 83.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7887?\nAnswer: 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -112252, -224426, -336602, -448780, -560960, -673142, -785326?\n\"Answer: -x**2 - 112171*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78966073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2875988424?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/3 + 1678*u + 2111763 = 0?\nAnswer: -2517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**3 + 70*i**2 + 12. Let t(l) = 100*l**3 - 770*l**2 - 130. Let q(r) = 65*o(r) + 6*t(r). What is the third derivative of q(w) wrt w?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 535*b**2 - 4458*b + 22907212 wrt b.\nAnswer: 1070*b - 4458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 57 = 3*z - 6*z, -2*z + 26 = u. Suppose 37*s - u*s - 5 = 0. Suppose -1 = -2*y + 3. Solve -3*x - 2*x = -s*o, 0 = y*x - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 20 = 5*k - y, -3*k + 2*y = -25. Suppose -k - 17 = -w. What is the first derivative of -36*a**2 + 6 + 67*a**2 - w*a**2 wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/87, 1528, 3\/4?\nAnswer: 1528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3267.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 1. Let p(g) = -10*g - 3. Let d = 1816 + -1822. Give d*p(y) + 17*m(y).\nAnswer: 9*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034797300 a multiple of 4130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-10) - ((-30732)\/15 - 3)) + -9 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-4)\/20*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25495 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -f2dcc (base 16) to base 14\nAnswer: -1bc748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 7 + 10944\/(-420)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7826 and 203?\nAnswer: 226954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (192\/(-3))\/(-8)*14\/4. Solve t*w**2 + 5*w**3 - 12*w**2 - 1 - 55*w + 31 + 4*w**2 = 0 for w.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 634, 1232, 1784, 2272, 2678?\n\"Answer: -3*w**3 - 5*w**2 + 634*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**5 - 2742020*g**4 - 6503876*g - 2?\nAnswer: 60*g**3 - 32904240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 43*l - 78. Let t be s(6). Let g be 8\/t*9*-1*1. Is 1\/21 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o - 0*o, o + 4 = 4*m. Suppose -5*j - 70 = -j + 3*w, m = -4*j - 4*w - 72. Find the common denominator of 33\/7 and 552\/j + -4*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -149830, -299894, -449956, -600016, -750074?\n\"Answer: y**2 - 150067*y + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-52))\/((27\/4)\/9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6 - 4*j + 4*j + j. Suppose -4*r - 5 = -5*u, 3*r - 7 + 17 = 5*u. Let z be c(u). What is the greatest common divisor of z and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u. Let o(v) = 190*v - 3 - 205*v + 8. Calculate l(o(q)).\nAnswer: -60*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -74447.\nAnswer: -7\/74447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82097 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpkgkkuggkkggkk. Give prob of picking 1 p and 2 k.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3133 (base 6) to base 13.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196.1709 months to decades.\nAnswer: 1.6347575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 261*m + 1110. What is k(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/75, -105, 0.45, 8 in ascending order.\nAnswer: -105, 1\/75, 0.45, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 - 93. Which is bigger: -12 or r?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -236 - -245. Let i be (1\/f)\/((-20)\/120). Let o be 2*-1 + (-38)\/(-18). What is the nearest to -1 in -1\/4, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 3:36 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -7*b + 528. What is the common denominator of (34\/b)\/((-4)\/(128\/(-6))) and 59\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 9*w + 1. Let m be r(9). Which is smaller: -16\/69 or m?\nAnswer: -16\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 1 - 7. Let v be (d\/(-4))\/((-3)\/(-12)). What is the units digit of (3\/v)\/(1\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:39 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652177 divided by -2884059?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3445690831\/30 + 114820401. Let r = -35966 - j. What is the common denominator of -47\/6 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 2*f - 1. Let u be v(-4). Let i(a) = -7*a - 168. Let c be i(-26). Suppose -c = -x + u. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5990.8 + 5991. Sort j, -0.2, -90 in increasing order.\nAnswer: -90, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129877 - -417523. Round p to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*b + 5 = 0, 4*m - 5*b - 18 - 2 = 0. Let u(f) be the first derivative of f**3 - m*f + 5*f - 1. Let o(i) = -i**2. Give u(o(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*x**4 - 3*x**2 - x**2 - 3*x**2 + 0*x**2 wrt x?\nAnswer: 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -144, -166, -188?\n\"Answer: -22*n - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -0.46?\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 - 5*z**2 + 3*z**2)*(-9*z**2 + 22*z**2 + 13*z**2 - 5) + 2 + 2*z**4 - 2 in the form o*z**2 + y*z**3 + u*z + d + h*z**4 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 422790 and 6620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:12 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 14*q - 7*q + 14*q. Let r(f) = 10*f. Let a(t) = 12*t. Let w(p) = -4*a(p) + 5*r(p). Calculate z(w(m)).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 31*b = f - 1246, -4*b - 112 = -4*f - 7*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 9:38 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.2 - -6.7. Let p = -2 + -1. Which is the third biggest value? (a) -0.4 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54, 86, 118, 150, 182, 214?\n\"Answer: 32*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910457 is divided by 94.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 2 + 2 + (1 + 1 - 5)*(0 + 1 - 2)*(-j**2 - j**3 + j**2).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 166*j + 67. Let u(l) = 1025*l. What is u(x(g))?\nAnswer: 170150*g + 68675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.3. Let o = -0.2 - h. Let q = -16 + 14. What is the closest to o in q, 2, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66418198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 323322 (base 4) to base 9\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2486 and 3390.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 94, 184, 306?\n\"Answer: 16*z**2 + 10*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112534936 and 34784.\nAnswer: 8696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 5. Suppose 0 = 5*w - o - 1. Solve -r = z + 3, -4*r - r - 9 = w*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 81. Suppose 3*s - 17 = k. Let q = s + -3. Solve z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*u - 227 = 0, 4*p - 2*u - 325 + 21 = 0. Let j(w) = 3*w - 2. Let o be j(-2). Let x = o + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + ((-152)\/(-4) - -3). What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559541650 divided by 279770825.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, 2\/13, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -17 (b) 95 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + q = 2, 8 - 9 = -2*l + 3*q. Let d(v) = -v. Determine d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7385381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*u - 3*y + 34, -3*u = -y - 26. Let g(k) = -k + 17. Let p be g(u). Let h(v) = 3*v**2 - 18*v + 15. Does 9 divide h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 5*p - 2*p + (-1 - 4 + 3)*(-2*p - 3*p + 6*p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-198) - (-12)\/66.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1439 + 823 - 1749 = 473*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -74. Is -1\/43 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-3 + sqrt(140)\/(sqrt(10)*-2 + sqrt(10)))\/(sqrt(16)\/(-2*(sqrt(128) + sqrt(8)))).\nAnswer: 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53\/37 - -85945\/60051. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-1)\/(-2 - -1). Let k = 5 + -7. Which is the nearest to 0? (a) k (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/9 - (-8)\/(-36). Suppose -t*g + 0*o + o = -205, 3*g + o - 315 = 0. Let d = g + -70. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4 + 1*(sqrt(891)*2 - sqrt(891)))**2*-1 + 2)*5*-1.\nAnswer: 1440*sqrt(11) + 18100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.045, 2\/7, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*w**5 - 7*w**5 - 12*w**5 + (-2*w**2 - 3*w**2 + 4*w**2)*(w + 5*w - w)*(-3*w**2 - w + w).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -33*m - 40. Let p(d) = -9*d - 13. Let v(c) = -7*p(c) + 2*t(c). Give v(-11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t**3 - 23*t**3 - 1 - 57*t**3 - 46*t**3 + 1.\nAnswer: -87*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02850119 + -4.22860419. Let h = 20.01 - 15.81. Let x = h + g. What is x rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*c - 1 = 3*s, -2*c + 10 = 4*s. Suppose 0 = s*z + 22714 - 2944. What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*d - 9*w, -6*d - 3*d = -3*d - 2*d + 3*w - 34 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + z)*(0 - 2 - 3 + (4 + 1 - 1)*(-2 + 3 - 3) + (-2 + 0 + 3)*(-5 + 5 - 1) - 1 - 1 + 1)*(-z + 2*z - 2*z).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4218498 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -76, -190, -394, -718, -1192, -1846, -2710?\nAnswer: -3814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 3. Let p(u) = 3*u - 5. Let r(v) = -3*p(v) - 5*q(v). Let l(c) be the third derivative of -c**5\/30 + c**2. What is r(l(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -19*l + 24. Is 13\/l*(1 - (-54)\/(-6)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14520424 - -13?\nAnswer: -14520411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226917879 and 13553?\nAnswer: 13553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/12)\/(-7) + (-8)\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -863 by -92782.\nAnswer: 863\/92782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 17 + 1. Suppose -2*q - 84 = -j*q. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 13. What is a(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u*z + u - 751*z with respect to u.\nAnswer: 4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 497 + -408. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*306\/(-663)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 4, l: 2, f: 9, d: 1}. Give prob of picking 1 x and 1 n.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.7 + 32. Let i = p - -0.7. Let h = -3 + i. What is the closest to h in 2, -5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03778 + -10.4442747569?\nAnswer: -10.4820547569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(76)\/sqrt(2))\/(sqrt(6)\/(sqrt(3)*2)) + ((sqrt(1368)*2)\/(sqrt(8)*-4))**2 + 5.\nAnswer: 8*sqrt(19) + 191\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1274, 4987, 11166, 19805, 30898, 44439, 60422, 78841?\n\"Answer: -k**3 + 1239*k**2 + 3*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(833) + 2))**2.\nAnswer: -1400*sqrt(17) + 83400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00083971912 rounded to six decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**2\/5 + 42*n\/5 - 147\/5 = 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 9*t + 1. Let s(a) = a + 6. Let m be s(3). Calculate p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(847)*2 + 1 - (sqrt(847)*2 + 4 + -1))**2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -s + 24, c - 176 = -4*s + 5*c. What is the remainder when s is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18452492 and 148?\nAnswer: 18452492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -6, -9, 2, 38.\nAnswer: -9, -6, -4, 2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -27, -68, -125, -198, -287?\n\"Answer: -8*j**2 - j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9956, 9960, 9964, 9968, 9972?\n\"Answer: 4*n + 9952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34\/3 + -856\/75. Which is the biggest value? (a) -4 (b) -26 (c) -0.2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*v**5 - 374*v**3 + 32*v**2 + 37*v - 4 wrt v.\nAnswer: 2040*v**2 - 2244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28557 divided by -1458.\nAnswer: -3173\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2. Let w(a) = 5*a. What is x(w(j))?\nAnswer: 150*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let r be g(-1). Suppose r*f = -6, s - 3*s + f + 5 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -484.7*0.1\nAnswer: -48.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 777 and 7252?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1910*z**2 + 230*z - 683. Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 n when four letters picked without replacement from {v: 1, m: 3, f: 2, n: 11}.\nAnswer: 11\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1245548080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1047684 and -10.\nAnswer: 1047674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52782924.\nAnswer: 2, 3, 4398577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -827332 + 1196979. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1550?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9772 times 28908\nAnswer: -282488976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1278 + -1274. Suppose -2*l + 2 = -3*u - 13, 3*l = -c*u - 3. What is h in 0 + 8*h + 2\/9*h**l - 8\/3*h**2 = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Suppose 3*l + 2*l = 3*v + 8, i*l = -v + 16. What is the third derivative of 6*x**2 + x**2 + 0*x**2 - x**v wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 3*y)*(-4 + 0 + 2 + 0 + 2 - 3 - 4 - 7 + 3 + (1 + 0 - 2)*(2 + 1 - 2) + 0 - 2 - 1 + (2 - 4 + 0)*(-1 - 4 + 6) + 2 - 2 - 2 - 5 + 4 + 0).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1922*i**4 - 23126*i**3 + 139873*i**2\/2 - 2238*i + 18.\nAnswer: (i - 6)**2*(62*i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341201.5nm to centimeters.\nAnswer: 0.03412015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4310813 divided by 43\nAnswer: -4310813\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 29 = -2*h, -5*s + 4*h = -h - 35. Suppose 0 = -0*p - p - 5. Let j be 2\/((-2)\/p) + -1. Solve 5*i = s*n + 3 + 47, -5*n - 45 = -j*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2\/7 - 14139*m\/7 + 56604\/7 = 0. What is m?\nAnswer: -4717, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 24*y**2 - 156. Let i(u) = 13*u**2 + 78. Let j(q) = -11*i(q) - 6*x(q). Find the first derivative of j(v) wrt v.\nAnswer: 18*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 12 + 8. Suppose 0*c = -i*c + 1145. Suppose c = 3*t + 58. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*a = -23, -3 + 18 = 3*a. Let s(u) = u**3 - 3*u**2 + u + 1. Let n be s(3). Sort i, 2, n in decreasing order.\nAnswer: n, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - 21*x**2 + 60*x - 42. Give z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 24162764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.2 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 7 + 13 + 10 + 88*h.\nAnswer: -h**2 + 88*h + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 4*n + 4*n - n as r + f*n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 50.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -252\/11, -0.0754 in increasing order.\nAnswer: -252\/11, -0.0754, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*106\/(-212)*1\/(-2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04061 >= -25.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2524941.29 rounded to the nearest 100?\nAnswer: -2524900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 113, 366, 919, 1922, 3525?\n\"Answer: 25*m**3 + 78*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*s**2 + 6*s**3 - 8*s**4 - 29*s**2 - 28*s**2 - 1 + 85*s**2 to k*s**4 + t + r*s + n*s**3 + b*s**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 3294290 + 3294290.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22776 and 45448.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89555595?\nAnswer: 3, 5, 5970373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9244, -18481, -27716, -36949, -46180, -55409, -64636?\n\"Answer: m**2 - 9240*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 77. Suppose 3*a - 47 = f. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - -34)*(-1)\/(-2). Suppose -a = -o - 5*w, -15 + 6 = -3*w. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -118073188, -236146377, -354219566, -472292755, -590365944?\n\"Answer: -118073189*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zssc when four letters picked without replacement from {z: 2, f: 6, j: 6, s: 2, c: 1}.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j + 11. Let a(q) = -24*q - 23. Let d(o) = -6*a(o) - 13*z(o). Give d(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 7. Let g be s(-3). Solve 0*a = 5*a - 10, -5*a + 14 = g*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2923 and 9472.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/6)\/(3\/4). Suppose 0 = 3*r - l*q - 0*q - 16, 11 = r + 5*q. What are the prime factors of 6\/(r\/9 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5*u + 3 = 4*p, -3*u + 25 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 732.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-6)\/3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -18*l**3 + 9*l**2 + 4. Let u(v) = -36*v**3 + 16*v**2 + 8. Give -5*j(y) + 3*u(y).\nAnswer: -18*y**3 + 3*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*g - 522*g - 7*g**2 + 143*g + 136*g + 103*g.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1254038265 divided by -250807653\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6941*p**2 + 2291*p**2 + 2317*p**2 + 2307*p**2.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozzozzzzyzozyoy. Give prob of picking 2 y and 2 z.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/100 - d**3\/10 + d**2\/5 + 8*d. Factor k(i).\nAnswer: (i - 1)**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(3\/7)*c)\/c)\/c)\/((c*c*(c**21\/c)\/c*c*c)\/c) assuming c is positive.\nAnswer: c**(-158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (4 - (-2 + 4)). Let x be 2\/(p\/(-1 - -7)). Suppose -4 = -4*n, d - 7 = -5*n - 1. Let y(c) = -5*c + 5. Let i(v) = v - 1. Calculate d*y(r) + x*i(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 21*m + 21. Let l(o) = -21*o - 21. Let q(b) = -7*i(b) - 6*l(b). Let k(t) = t**2 - t - 1. What is -21*k(u) + q(u)?\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**8\/672 + g**7\/180 + g**6\/180 - g**4\/24 - 3*g**2. Let z(l) be the second derivative of b(l). Solve z(s) = 0 for s.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.8 in -2\/5, 0.3, -5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*c - 30. Let g(x) = x**2 - 6*x - 41. List the prime factors of g(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -4*d + 164. Suppose 4*l = 0, 9*g - 4*l = 4*g + d. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Let d(j) be the third derivative of j**4\/24 + 2*j**3\/3 - 4*j**2. Let h be d(y). Solve -h*r = -2*r - 5*z - 23, -r + 5*z + 19 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q*q**(-4\/5))\/q*q*q*(q**(2\/13)\/q)\/q)\/((q\/(q\/(((q**0*q)\/q)\/q)))\/(q**6*q)) assuming q is positive.\nAnswer: q**(608\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a + 7. Let r(g) = -3*g + 7. Let z(x) = 2*q(x) - 3*r(x). Let k be z(3). Suppose -k*y + 0*y + 5*w + 105 = 0, 46 = y + 4*w. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18461967, 18461971, 18461975, 18461979?\n\"Answer: 4*i + 18461963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 28476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -475, -476, -467, -442, -395, -320, -211, -62?\n\"Answer: t**3 - t**2 - 5*t - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1162 - 4*z + 1162. Let s(i) = -4*i. Determine l(s(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + (-5 - -14 - 21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, 1 f, and 1 c when four letters picked without replacement from fcllzcfzfbflfflezfez?\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3*(-20)\/75 + 1559670\/150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38+35\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r + 9371 - 11471 = 0 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 16608*l.\nAnswer: 4*l*(l + 4152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**2 + 490*w + 5400 = 0?\nAnswer: -10, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/((-4)\/822))\/((-93)\/(-155))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 0 - 2*b + 0*b**3 + 1\/15*b**6 - 6*b**2 - 1\/4*b**4 + 0*b**5. Differentiate u(y) wrt y.\nAnswer: 8*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9698465 + 0.0392.\nAnswer: -9698464.9608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1589 - -1592. Sort -1, 3\/5, -1\/138, z, 5 in ascending order.\nAnswer: -1, -1\/138, 3\/5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792658048 divided by -4?\nAnswer: -198164512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 169, 0.5, -5 in decreasing order.\nAnswer: 169, 4, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 493 and -652656 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 - d**4 - d**4)*(0*d - 2*d + d) + 5*d**5 + 0*d**5 + d**5 + 2*d**5 + d**5 - d**5 + (2*d**5 + 3*d**5 - 6*d**5)*(-2 - 2 + 3).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13317 times 15?\nAnswer: -199755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 242\/14 + 2\/(-7). Let c = -32 + h. Let g(u) = u**3 - 9*u**2 + 10*u + 9. Let p be g(7). Is c < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47561.04 millennia to decades.\nAnswer: 4756104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -23. Factor 0 + z*n - 1\/4*n**2 + 1\/4*n**3.\nAnswer: n**2*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 61*w**2 + 66*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.578664 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 16*d = -135. Let u = d - 25. Solve 2*m + 7 = v - 1, -4*v + 4*m = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 55721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 560817\/5720 + -3899\/40. Let b = k - 8\/13. Let w = -6 - -5. Which is smaller: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7.1. Let d = -0.06 - -3.06. What is the closest to c in -0.5, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 - y - 2. Let x be s(3). Let w = x + 181. Let n(p) = -16*p. Let o be n(-1). What is the greatest common divisor of w and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7773 + -9004. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1101? (a) 0 (b) -2\/13 (c) -2\/99 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + c + 0*c + (3 + 2 - 7)*(-5*c - 4*c + 3*c))*(0*c + 14*c - 3*c) as n*c + t + y*c**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -57. Which is greater: -19\/6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3175089*h**2*r**4 + 16261*h**2 + 3*r**4 + 27 wrt r?\nAnswer: 12700356*h**2*r**3 + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(k + 0*k - 2 + 0*k)*(1846 + 3242*k - 1846) as a*k**2 + r*k + w and give r.\nAnswer: 6484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 1 = 2*u. Suppose -41 = -t - 39, -t - 13 = -5*k. Calculate the smallest common multiple of k and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0289 > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 4)*26\/(-6). Let t(d) = -8 - 2*d**3 + 14*d**2 + 3*d**3 - 13*d - 2*d**3. Let g be t(i). Are g and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*4 + (sqrt(76) + (-3*sqrt(76) - sqrt(76)) + sqrt(76))*1)\/(6*-3*(sqrt(80)\/sqrt(2))\/sqrt(10)).\nAnswer: 7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*q**3 + 4*q**2 + 16741*q?\nAnswer: 468*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(17)*1 + -3.\nAnswer: -3*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 4*r**2 + 3*r - 1. Let t be (2\/2)\/(1\/5) - -6. Suppose 5*n - 6*p + t*p = -5, 1 = 2*n + p. Determine w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16772, -33556, -50340, -67124, -83908?\nAnswer: -100692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.08 (b) 0.1 (c) 3\/10 (d) -0.6 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(128) + (sqrt(128) - -2*sqrt(128))*4 + sqrt(128) - sqrt(128)) + sqrt(128) - sqrt(128)) + sqrt(128))\/sqrt(4))**2 + -5.\nAnswer: 6267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-2 - 56065\/(-45945)). Let l = x - 2\/1021. What is the common denominator of l and ((-118)\/(-48))\/((-1)\/3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 1 + -1 - (4 - 0). Suppose -4*g + g = -w*q + 762, 3*q - 770 = g. List the prime factors of q.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**5 - 93*z**4 - 210*z**3 + 390*z**2 + 207*z - 297 = 0.\nAnswer: -3, -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2. Let j(u) = -75*u. Let g(c) = -54*c. Let o(m) = -2*g(m) + 3*j(m). Give b(o(h)).\nAnswer: 82134*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 668554.548 rounded to the nearest 100?\nAnswer: 668600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -443305 and 0.5.\nAnswer: -443304.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = -4*z, -4*q - 3*z - 2*z = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 - 1. Suppose 6*o = 2*s + 4*o - 16, s - 6 = 2*o. Suppose s*p - 10 = 5*p. Let u(c) = -4*c**2 - p + 8*c - 8*c. Give -9*h(m) + 4*u(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*l**2 - 2*l + 1384*l**4 + 9 - l**3 - 1383*l**4 - 39*l**2 as w*l**3 + y + s*l**2 + r*l + x*l**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = s + 191, -l - 3*l - s = -151. Suppose 2*t + 0*t = 12. Calculate the smallest common multiple of l and t.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - -131. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 + 108. Let u = -131 - j. Let k = 53.000081 + u. Round k to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 6*p**7\/35 - p**4\/24 - 22*p**3\/3 + 78*p**2. What is the second derivative of c(k) wrt k?\nAnswer: 432*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54897\/569371 + 26\/271. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:23 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 16. Let b(i) = -2*i**2 - 3*i - 5. Let f(z) = z**2 + 2*z + 3. Determine c*f(d) + 5*b(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/91 and -8\/63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 54*y - 190. Let f be h(50). Solve -f = 19*n - 21*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0 + 0*l**4 + 0*l**3 - l - 1\/10*l**5 + 1\/2*l**2. What is the first derivative of o(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1974734220 to the nearest integer?\nAnswer: 44438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (1*sqrt(204) + sqrt(204)))*-5)\/(sqrt(192)*2 - sqrt(192) - sqrt(768)).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -110. Let j = -42 + p. Let h be (-66)\/(-11)*j\/(-3). What is the closest to 3 in h, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/3)*m)**(-1\/4))**(-7\/3) assuming m is positive.\nAnswer: m**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.3, 16, -5\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 457854671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -219 * 19.\nAnswer: -4161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 7 - w + 10)*(69 + 244 - 4)*(-4 - 1 + 1) as j + z*w and give j.\nAnswer: -16068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 2. Suppose 5*h + 65 = 5*n, 3*n + 3*h = s*n - 52. Suppose -2*o = n - 3. Put o, 3, -6 in descending order.\nAnswer: 3, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7692029 is divided by 769199?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150460\/9 - 16745. Let z = p + 27. Let n = -6\/911 + -1792\/4555. What is the second biggest value in z, n, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -398\/52881?\nAnswer: -398\/52881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219 or -378?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.021, 4, -0.4, -1 in increasing order.\nAnswer: -1, -0.4, 0.021, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.41, -0.4.\nAnswer: -3, -0.41, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1824767*b**2 - 4570*b + 12.\nAnswer: -3649534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 16*l + 19. Let p be i(-11). Let a = p + 41. Does 9 divide (36\/a)\/(3\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100180, -100179, -100178?\nAnswer: -100177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -2\/35*p**5 - 11\/14*p**4 - 16\/7*p**2 + 2*p - 24\/7*p**3 - 41. Suppose d(b) = 0. What is b?\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 119. Let v = -70 - d. Solve -a = -3*a + v*n - 4, 3*a - 5*n = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 4:18 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214 + -210. Suppose 4*r = -2*g + 11510, 6*r + 8625 = 9*r + h*g. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r\/r**(-4)*(r\/r**(-2\/7))\/(((r**9\/r)\/r)\/r))**(8\/5) assuming r is positive.\nAnswer: r**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*42.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-620))\/(15\/(-25)))\/((1079\/(-234))\/(-83))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001101 (base 3) in base 15?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3*d - 11 + 0*d + 3*d - 2*d + (0 + 3 - 1)*(-d + d + d) + d - 2*d + 2*d)*(-1 + 2*d**4 + 1).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 166209, -0.052, 0 in ascending order.\nAnswer: -0.052, 0, 166209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k = -435*k - 1298 + 8914 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -790511 + 790548.8847. Let c = -37.9 + y. Round c to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 41*n**2 + 5*n - 66. Is v(6) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/5)\/t**(39\/7)*(t**(-19\/5))**(33\/5) assuming t is positive.\nAnswer: t**(-5294\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 14. Suppose -g - 6 = -z*g. What is the third derivative of 3*n - n**5 - 9*n + 6*n + g*n**2 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + l)*(4*l**2 - 5*l**2 + 4*l**2) - 20*l**2 + 20*l**2 + 23*l**3.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -25, -61, -4 in decreasing order.\nAnswer: -1, -4, -12, -25, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 14*f**2 + 16*f - 15. Let g be v(15). Which is the closest to g? (a) 0 (b) 1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(4\/9))**16*(t*t**(-7)*t)**(-5\/3) assuming t is positive.\nAnswer: t**(283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**2*s - 912*j**2 + 2*j*s - j - 2*s - 72 wrt j.\nAnswer: -6*s - 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4407243 millennia to months.\nAnswer: 5288.6916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1192*i - 231*i**3 + 1192*i.\nAnswer: -231*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 21021*u + 21021*u.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 + 2 = 0. Let o = 84 + -63. Let p be (-60)\/((o\/7400)\/w). What is p rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12764 divided by 6382\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1. Let d(p) = -2*p + 8. Let l(r) = d(r) - 8*q(r). Let h(a) be the second derivative of 0 - 1\/6*a**3 - 2*a + 0*a**2. Calculate l(h(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2895 and 1.\nAnswer: 2895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose d - 21 = -l*x, -5*x + 12 = -2*x. Let p = -4 + d. Solve 10 = -0*u + p*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110101101001 + 100?\nAnswer: -10010110101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b377 - -220?\nAnswer: -3b157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + w**2 - 2. Let s be z(3). Let i = s + 12. Let d(p) = 3*p**2 - 11*p - 11. Let c(g) = -g**2 + g + 1. Let l(j) = 4*c(j) + d(j). What is l(i)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 - 26\/(-6). Let i = 603 + -538.6. Let h = i - 63.4. Which is the nearest to h? (a) p (b) -1\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5, -11\/4, 3, -276, -1\/5 in decreasing order.\nAnswer: 5, 3, 1, -1\/5, -11\/4, -5, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 + 13*h**4 + 19*h**2 - 4*h**4 + 8*h - 9*h - 11*h**4 + 1 + 3*h**3 as g + f*h + b*h**2 + p*h**4 + k*h**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 377207622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20744.571 and 35916.8.\nAnswer: 56661.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175146 - 175159.00072. Let p = -13 - n. What is p rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**28\/(x**(3\/11)*x*x))\/(x**10*x\/(((x\/(x**(10\/9)\/x*x*x))\/x)\/x)) assuming x is positive.\nAnswer: x**(1150\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-one quarters of a day?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117505 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 2*k**3 + 8*k - 3*k**3 - 6*k + 2*k - 3 to the form v*k**4 + p*k**3 + l*k + c*k**2 + i and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 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: Expand -34*g**4 - 4*g**4 - 17*g**4 + (0*g + g - 2*g)*(2*g**3 - 1 + 1) + 3*g**4 - 4*g**4 - g**4.\nAnswer: -59*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/(w*w*w\/w**(4\/3)))\/w)\/w)\/w)\/w**(1\/7))**20\/((w**0)**(1\/29)\/(w\/w**(2\/5))**18) assuming w is positive.\nAnswer: w**(-6866\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/956 + -84123\/4780. Let d = v - -18. Which is the nearest to -1? (a) -2 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 160 - -41. Let r = k + -381. Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iik when three letters picked without replacement from {k: 7, i: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 101\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88667322109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:47 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2))*z**5)**31 assuming z is positive.\nAnswer: z**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 10 in descending order.\nAnswer: 10, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**4 + 970*o**3 + 14560*o**2 = 0.\nAnswer: -14, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - g = 905, -g - 905 = -5*c + g. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i + 98 = -27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 69*g - 359 wrt g?\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2160*y + 21610. Calculate n(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12672 at least as big as -12748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 7837 + -15637. What is c rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1)*(0*i**4 - 5*i**4 + i**4 + (5*i**2 - 3*i**2 + i**2)*(2*i**2 + i**2 - i**2)) to u*i + t*i**2 + y*i**3 + w*i**4 + s and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.1, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -427d29?\nAnswer: 427d28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, y: 5}. What is prob of picking 3 g?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/6 (b) 4\/4351 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10392837323 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p + 18*p = 20*p - 242 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279472216.\nAnswer: 2, 19, 263, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (-25 - (-2 + 2))) + (11 - -1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/8))**16\/(q**(-11\/3))**(-2\/49) assuming q is positive.\nAnswer: q**(-904\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c - 1. Let z be (-672)\/20 + 10\/(-25). Let p = 42 + z. Suppose 28 - p = -5*b. Let i(q) = 6*q**2 + 4*q + 3. Give b*t(v) - i(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + x**2 - x - 7. Let m be q(0). Let h = m - -7. Let i be 4*(-1 + 1 + -6). Put i, h, 3 in descending order.\nAnswer: 3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107936 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - 2*q**5 + 4*q**5 + (-6*q - 1 + 1)*(-q**4 + 0*q**4 - q**4) - q**5 - 2*q**4 + 2*q**4 - q**5 + 3*q**5 - 5*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112636 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 38 + 48 - 4*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 1843208.\nAnswer: 5529624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, v: 18}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -151, -215, -271, -319, -359, -391?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*k**2 - 21106*f**2*k + 12*f**2 + 5*f*k**2 - 153*f - 141*k**2 - 2*k wrt f.\nAnswer: -2*k**2 - 42212*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 29. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8706756 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*s + 330, 0 = -42*s + 38*s - 4*r + 656. Calculate the remainder when s is divided by (-2)\/(-4)*(83 + (-4 - -3)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 12 - 32. Let y = 16 + s. Let f = 223 - 221. Solve 2*d - y - 1 = -m, -5*m = -f*d - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41 - -0.51. What is the closest to 0.2 in -2\/5, -4\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -858.\nAnswer: -858, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 - 6*g + 3. Suppose 8 = -3*c - 13. Let j be v(c). What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 476, 479, 482, 485?\n\"Answer: 3*f + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 + 2*j - 1. Let g be y(2). Let i = -28 + g. Let c = -4 - -8. Solve -i = c*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - 0.8. Let u = 120568.7 + -120569. What is the closest to 2 in 1\/3, l, u, -1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13805356\/5 <= 2761071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r + 8*r - 8 - 4*r - 6*r to the form o*r + p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3222023 + -1?\nAnswer: 3222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 5*c + 10 = o, 0 = -5*o + 5*c - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 - 21*o**2 + 40 + 36 + 43 - 2*o**4 in the form a*o**3 + i*o**4 + v*o + l*o**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4084410 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 5}. Give prob of sequence tt.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8759, 17481, 26181, 34859, 43515?\n\"Answer: -11*a**2 + 8755*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6630 and 15328?\nAnswer: 50812320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 775*t**5 + 74370*t**4 + 2*t**3 + 131911955*t**2 - 3?\nAnswer: 46500*t**2 + 1784880*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3\/3 + 364*o**2\/3 - 984*o.\nAnswer: -4*o*(o - 82)*(o - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -11. Let h(d) = 12*d - 13. Is 13 a factor of h(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 188 + 24. What is the remainder when n is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u + 4. Let b be z(-3). Let m = b - -11. Solve m*f + r = 8*f + 18, 0 = 5*r - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10558655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 33534\/2794 + -9*(-48)\/(-36). Are i and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1554764 and 0.5?\nAnswer: -0.0777382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*t**2 + 58*t**2 - 91*t**2)*(-2*t**2 + 5*t**2 - 2*t**2)*(2*t - 3*t + 3*t).\nAnswer: -304*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8.2*-3.3075\nAnswer: 27.1215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-9)\/(-15))*350688\/11240.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 19*w + 2*n = 6955, -3*w + 3*n + 20829 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.85 (b) -3\/14 (c) 0.5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7851.\nAnswer: 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 621*w**2 - 83*w + 169*w - 88*w to v*w**2 + c + r*w and give v.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 + 4*b**3 + b**3 + (0*b + b + 0*b)*(-b**2 + 3*b**2 - 4*b**2) + 29*b**2 - 8*b**3 - 29*b**2 to y*b**2 + v*b**3 + c + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240171*f**3 - 161278*f**2.\nAnswer: -1441026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12962003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 divided by 84?\nAnswer: 233\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.82 - 0.0531594619\nAnswer: -0.8731594619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m + 7. Let z(g) = g - 4. Let y be z(7). Suppose -y*a + 1 + 17 = 0. Let q be (-2)\/(5 + -3)*a. Let d(w) = -7*w + 6. Give q*v(t) + 7*d(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6 times -80?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 11) to base 9\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {u: 2, f: 4, q: 2, m: 1, a: 3, j: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*p - 12, -3*p - 39 = -5*h + p. Let i = -2 - h. Let b = i + 25. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**5 - 3*x**5 + 0*x**5 + (-222 - 29*x**5 + 222)*(0 - 3 + 4) + 12 - 34*x**2 + 2*x**5 + 34*x**2)*(1 - 3 - 1).\nAnswer: 84*x**5 - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4\/5 + 4\/5*b**4 - 4\/5*b**5 + 8\/5*b**3 - 4\/5*b - 8\/5*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y - 15*y + 3 - 5)*(-5 + 3 + 0 - 1 - 3 + 7 + (0 - 1 - 1)*(4 - 4 - 1)).\nAnswer: -6*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34239 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 3*c**2 - 31*c + 26. Calculate l(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 881.8?\nAnswer: 352.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1*(-9)\/(-3). Is -0.8 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -880 by -77.\nAnswer: 80\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752)*-6)\/(-3*sqrt(1100)))**2.\nAnswer: 432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6402 - -6648. What is the smallest common multiple of 27 and k?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 47. What is the closest to -0.04 in 0.5, -4, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + e84c7?\nAnswer: e84cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-27)\/(-2)*17*(-4)\/204))\/23.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 497 (base 16) to base 12\nAnswer: 81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-12177)*3)\/((-244)\/(-549))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 93*q**2. Let a(b) = 278*b**2. Give -6*a(g) + 20*v(g).\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*h - 9, -4*h - 3*a - 16 = a. Let k(c) = -44443*c**2 + 2*c - 7. Let r be k(h). Round r to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (39 - -8 - 11) - (-10 - -4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1680637 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5135865, 5135872, 5135879, 5135886, 5135893?\nAnswer: 5135900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 959185 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 - 37*g**2 - 52*g - 971. What is d(20)?\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -848679.79 - -823933. Let g = -24642 - v. Let o = 104 - g. What is o rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 w when four letters picked without replacement from {u: 1, h: 5, a: 1, w: 5}?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/24*(-3)\/(-2). Solve -5*x + p = -0*x - 20, 4*p - 10 = d*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/5, -15, -2\/9, 10\/7, 758?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - (sqrt(91)*-5)\/sqrt(7)) + -3*(sqrt(13) + (sqrt(117)\/sqrt(9) - sqrt(13)) + -1).\nAnswer: 2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150500 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(-5)*((-6)\/18)\/((-21)\/((-2835)\/12))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**8\/56 - p**5\/60 - 2*p**2. Find the third derivative of b(y) wrt y.\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.32 (b) -3 (c) 0.1 (d) 4\/187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d\/d**(3\/17)*d)\/d*d)\/d)\/d*d**(-9)*d*d**20*d*d*d*d\/(d\/d**(-25))*d assuming d is positive.\nAnswer: d**(-122\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 0*o)*(1 + 0 + 1)*(4*o + 0*o + 0*o) + 22*o + 24*o - 2*o**2 - 43*o.\nAnswer: -18*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140155 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*s, 7 = 53*w - 51*w + 3*s + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*t = -13, -5*x - 3*t = t - 24. Suppose x*p - 1 + 9 = 0. Let a be (p\/(-6))\/((-6)\/(-2106)). Calculate the highest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 228 + 182 + 4*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*v = 491*v - 107 - 37 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -313\/360264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020200011 - -102?\nAnswer: -2020122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 + 2*s - 119 - 130)*((2*s - 5*s + 4*s)*(0 + 0 - 2*s) - 3*s - 4*s**2 + 3*s) to d*s**2 + q*s + z + u*s**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4146*v + 4128*v = -18. Which is the nearest to -2? (a) -9 (b) 16\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k)\/(k*k**(-12)) assuming k is positive.\nAnswer: k**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = d + 40. Let g = d - -7. Let n be 4 - (8 + -9 - 1\/g). Solve -2 = -n*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 12:10 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + h**3 - h**3 - h + h - 2*h**4 + (-7*h - 53 + 53)*(-4*h + h**3 + 4*h) - h**4 - 2*h + 2*h to p + o*h**4 + x*h + k*h**2 + l*h**3 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 25*l**2 - 17*l - 369. Give n(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 24*k**2 + 9. Let x(q) = q**2 + 1. What is 2*i(m) - 18*x(m)?\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 2, -5 in descending order.\nAnswer: 2, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24077 is divided by 1045?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 92 = -22. Suppose w = 3*k - 55. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005739 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35704, -61224, -86746, -112270, -137796?\n\"Answer: -b**2 - 25517*b - 10186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-40))\/(5\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39462.11 to the nearest 100.\nAnswer: -39500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.121, 0, -17, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 42. Suppose 2*r - z*q = 8, -3*q = 4*r - 7*r + 9. Solve 4*a + r = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 9. Let z = -0.32 + 0.02. Which is the second biggest value? (a) z (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -54*k**2. Let h(c) = -c. Determine r(h(y)).\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + sqrt(11) + 5)**2 + (sqrt(121)*-2)\/sqrt(11).\nAnswer: 18*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 5}. What is prob of sequence mmm?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-15)\/9*-4. Is (-3)\/(-15) + (-2176)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a week in hours?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 110*x**2 + 44*x - 167. What is the units digit of b(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 7*i**2 - 7*i + 4. Let n be b(8). Suppose 4*y + n = h, 7*h + 3*y - 14 = 2*h. Factor -5*l + 2*l**2 + 5*l + h + 0*l + 6*l.\nAnswer: 2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*f - 861*f + 2680 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, 5, -22.\nAnswer: -22, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13913\/22 + -633. Let s be (-2)\/8 + (-12)\/64. Let b = s + -69\/80. What is the common denominator of n and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 0*w**2 + 0*w**2 - 173 - 14445*w + 82*w**3 + 14446*w.\nAnswer: 82*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 8. Let i = -11 - n. Which is bigger: i or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:48 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 5*g**2 - 3*g - 6. Let z be ((-6)\/(-12))\/((-1)\/(-12)). What are the prime factors of o(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -436.\nAnswer: 1\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 53940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278\/77 + -23123\/3696. What is the common denominator of o and -65\/162?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 426 + -403. Suppose -u*c = -28*c + 185500. Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 6*q**2 + 10*q. Calculate the lowest common multiple of c(2) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**2\/2 + 4*l - 2. Let v be t(2). Is v*(2 + 24) + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s + 5*s**2 - 3*s**3 - 6 + 4*s**3 - 19*s. Let p be x(-6). Suppose k - 2 = p. Solve 0 = t + t + k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:17 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 23045.96 hours?\nAnswer: 82965456000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -28. Let r = d + -18. Let i(g) = g**3 + g + 1. Calculate i(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7629257\/72 + 105960. Let m = -13\/6 + 47\/2. What is the common denominator of s and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/253 - 459\/(-165) - 3. Which is the nearest to m? (a) -49 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 1408 = -17*a. Let k = 3825 - a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*g**2*r - 754446*g**2 + 2*g*r**2 + 6433*r**2 wrt r.\nAnswer: 15*g**2 + 4*g*r + 12866*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 143*w**2 - 33*w + 46. Let a(g) = -143*g**2 + 32*g - 46. Let q(h) = 4*a(h) + 3*p(h). Let l be q(21). What is l rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150411 is divided by 10025.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 964302893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (26 - 35) - (0 + -7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54.6, 4, -3\/2, -0.2, -2, 8343 in descending order.\nAnswer: 8343, 4, -0.2, -3\/2, -2, -54.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + 3 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4836 by 2418.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2485040 is divided by 2485032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2315\/5369 + -2\/767. Let w = 1044\/97 + -307352\/28809. Let s = 5\/27 - w. Which is the nearest to 0.1? (a) s (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 11 - 871 = 0. Let y = -60 - j. Let o = 183 + -53. Calculate the highest common factor of y and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602814141?\nAnswer: 3, 66979349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11)\/((-344)\/68 + 5)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 5*n. Let t(b) = b**3 - b**2 - 5*b + 4. Let m be t(n). Let u = m - 22. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3) + 130\/(-30). Round t to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320788545202.6+0.03\nAnswer: -320788545202.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 + m**4 - 8*m**3 + 35*m + 4*m**3 - 5*m**3 + m**3 + 2*m**2 to x*m**3 + v*m**2 + w*m + k*m**4 + p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000419 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = m - 5*w - 13, 4*w = -2*m - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -3*x**5\/5 + 7*x**3\/6 + 15*x. What is the second derivative of v(y) wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514.5 - 515. Which is the nearest to 1\/2? (a) n (b) 5 (c) 1\/2 (d) 107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15922 + -413923\/26. Suppose -858 = 2*n + 3226. Let i = n + 12161\/6. Find the common denominator of i and h.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2166*g**3*p**3 - g**3 + 435*p**2 + 2 wrt p?\nAnswer: -12996*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 42 = -2*n, 5*n - 2*c - 4 = 87. Suppose -3*h = 2*i - 25, -4 + 14 = -3*i + 5*h. What is the remainder when n is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/2 - 12*d**3 - 83*d**2 - 132*d - 121\/2 = 0. Calculate d.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d + 83*d = 6330. Suppose 4130 = 4*n + d. Is n a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/11620 and 101\/54972560.\nAnswer: 384807920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(567)) + sqrt(567))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*r = -d + 20, 5*d - 4*r = 25. Let v be ((-1)\/(-1) - -3)*d. Calculate the greatest common factor of v and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = -4535 + 4865 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -1\/2*d**2 + 1 + 3*d. Let o be (-9)\/2*(-2)\/(-3). Calculate q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9766245 + -49412.\nAnswer: -9815657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/12 and 1\/((-7)\/(-28)) + (-334)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m**5 + 75080*m**4 + 75134*m**3 - 431732*m**2 - 225336*m + 675792 = 0. What is m?\nAnswer: -2, 3\/2, 9386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3\/5, 3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*p + 3*q, 52992 = 5*p + 4*q + 53005 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + 2*f**3)*((1 + 0 + 0)*(-3 + 3 - 2*f**2) - 2*f**2 - 1 + 1 + 10*f**2 + 25 - 25 - 2*f**2 + 3*f**2 + 0*f**2).\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3207*k - 26848 = 149*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -893776, -893807, -893856, -893923?\n\"Answer: -9*v**2 - 4*v - 893763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2*20)\/1. Let b be 124 + (16\/s - 12\/(-10)). Calculate the highest common factor of 72 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 + 1)*(0*s + 2*s - 4*s) - 40*s - 11*s - 3*s in the form m*s + z and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, z: 7}. What is prob of sequence gzz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2978940?\nAnswer: 2, 3, 5, 131, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 10 = 2. Suppose -2*q = 2*t - 0*q + 2, 2*t - 4*q = -14. Let k = -5 - t. Is k less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44259 and -942637.\nAnswer: -986896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195553 is divided by 97568.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 + -110?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by -7*(-3)\/((-33)\/(-44))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -11, 6, -10963.\nAnswer: -10963, -22, -11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30422 (base 5) to base 6\nAnswer: 13111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (17 - ((2 - -23) + -50)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/23))\/((f\/((f*f*f**(-23\/5))\/f))\/f) assuming f is positive.\nAnswer: f**(-194\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.7 (c) 28 (d) 2\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*o**2 - o**3 + 0*o**3 + 7*o**3 - 2*o - o**3 - o**3 to u*o**3 + g + d*o + f*o**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 89820, 89819, 89818?\n\"Answer: -d + 89821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2 + (-3 + 3 - 1)*(-5 + 1 + 3))*(0*c**2 - 5*c**2 + 0*c**2).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*g = -25, -4*i = -5*g + 13 - 58. Solve 5*o - t - 25 = 4*t, -t = -i*o + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/5 - 419914*p**2\/5 + 419928*p\/5 + 2519496\/5 = 0 for p.\nAnswer: -209958, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 6*n + 589 - 617. Solve 2*v + s + 4 = 0, 0*s = n*v - 4*s + 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 395 and 30.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -509 and -117.2.\nAnswer: 59654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232 and 26?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*z**4 + 16*z**3 - 5*z**2 + 119311*z.\nAnswer: 72*z**2 + 96*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:23 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33.921445 and -0.5?\nAnswer: 33.421445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -120. Suppose -19*q = -r*q - 2*q. Solve 0*p + 9 = -4*p - c, -p + 4*c - 15 = q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 w when three letters picked without replacement from ddwgdggzdgzgggdgzg?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, -27, 2 in increasing order.\nAnswer: -27, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27368785 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 - g**5\/20 + 7*g**4\/24 + g**3\/2 - 3*g**2 - 1. Let z be h(0). Solve y + 2 + z = 0, -b - 30 = 5*y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 37. Let w be b(-20). Let q = -77 + w. Sort -2, -47, q in decreasing order.\nAnswer: q, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 12:44 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -14*v**2 - 2 + 9*v + 12*v - 22*v. Calculate o(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 1)*(4 - 4 + 2*z) + 2*z - 4*z + 4*z + 2*z - 5*z + 2*z)*(0*z**2 + z**2 + 2*z**2) + 20 - 45 + z**3 + z**3.\nAnswer: -7*z**3 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 70. Suppose l + 13 = n. Suppose 77 = 3*r + w - 2*w, -3*w = -3. What is the greatest common factor of l and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**3 + 13*a**2 - a - 7. Let u(b) = -4*b**3 - 4*b**2 + 2. What is -2*l(d) - 7*u(d)?\nAnswer: 2*d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063650 a multiple of 2350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(33)\/(sqrt(6)\/sqrt(2) + sqrt(3)) - sqrt(11))*6*-3)**2 + ((sqrt(132) - 1*sqrt(132))*6)\/(sqrt(1200) + (sqrt(1200)*-1 - sqrt(1200))).\nAnswer: 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = u. Let n(k) = 2*k + 7. Let g be n(u). Is -2 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 4*h + h)*(-2*h + 6*h + 4*h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**2 - 17490*z - 192027 = 0.\nAnswer: -5819, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 23 = 52. Solve a = 6*a - c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308110 is divided by 153838.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1165 - 437 = 55*n - 4772. Suppose 3*o + 30 = 5*z + 270, -3*z = 2*o - 141. Calculate the highest common divisor of o and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 365\/(-876)*(0 + (-9)\/2). Let h = 0.97 - -0.03. Is h greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 30. Does 3 divide i(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 29 = -5*m, 2*m + 0*m - 11 = j. Let y be m\/2*(-35)\/42. Is -1 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 967 - 14*k - 965 + 3*k**2 + 8*k**2 + 2*k**3 - 5*k**2 - 43*k as x*k**2 + y*k + n + w*k**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1\/3, 5, -5 in ascending order.\nAnswer: -13, -5, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*w - 2*w - w)*(2903 - 801 + 4795 + 1148) as h*w + m and give h.\nAnswer: 24135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (0 + (2 - (7 + -6))). Let q = 0.1 - 0. Which is the smallest value? (a) q (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 - -3245153545?\nAnswer: 3245154020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 13) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-40)\/22 + (-1660)\/(-66) + 674\/1011.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1513986 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/12*320\/(-1280).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let a(o) = -446257 + 446257 - 233*o**2. What is a(r(f))?\nAnswer: -233*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 - 153*k**2 + 236*k - 501. Let i be b(75). What is the highest common divisor of i and 7884?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4687 is divided by 929.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 78 = 68 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 18*t - y + 17*y + 154, -2*t + 3633*y - 3632*y = -21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7.055. Let i = 64.055 + c. Let r = 63.9946 - i. What is r rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*-4)*-1 + (sqrt(28) - (-5 + 4 + sqrt(28)) - sqrt(28)).\nAnswer: -7*sqrt(7)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*z + 3*z - 12 = 0, o - 17 = -3*z. Suppose 5*c - 52 = -3*p + 125, 0 = 5*p - o*c - 295. 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: Put 5, -40, 17\/12, 4, -80, 1, 0.02 in descending order.\nAnswer: 5, 4, 17\/12, 1, 0.02, -40, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1707347 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**3 + 668*p + 148*p + 7*p**3.\nAnswer: -2*p**3 + 816*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from zzzzzxzxzxzizx.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 55*h - 708. Calculate the least common multiple of z(31) and 642.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z**2 + 16*z + 22. Let h be d(-3). Is (-6)\/(h\/(-60) + -2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -81. Suppose 16*h - 798 = f*h. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p - 16. Suppose -10 = -2*j, -6*z + 5*j = 7*j - 58. Determine w(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496*g - 488*g - 4456 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/6 - 6305*f**2\/2 - 2*f\/3 + 12610 = 0.\nAnswer: -2, 2, 18915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*i**2*k*v**3 + 203*i**2*v**3 - i*k*v**3 + 513*k*v**2 - 19*v**2 wrt i?\nAnswer: 224*k*v**3 + 406*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2060493 divided by 108447?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175*s**4\/2 - 241320*s**3 + 332759595*s**2\/2 + 9508205*s.\nAnswer: 5*s*(s - 1379)**2*(35*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 2. Let p(o) = -2046*o + 44. Give p(f) - 22*u(f).\nAnswer: -2068*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -h + 5*y - 7*y, 4*h = -2*y - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**6 - 11*f**5*h**3 - 4*f**2*h + 34*f*h**3 wrt f?\nAnswer: -840*f**3 - 660*f**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(192))\/sqrt(3))\/((sqrt(300) - sqrt(300)*-1)*-5 - sqrt(300)).\nAnswer: -sqrt(2)\/440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11))**(-1\/69) assuming z is positive.\nAnswer: z**(2\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*j - 15 = 0, -4*q + 24*j + 20 = 20*j. Solve q = -13*t - 26 - 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 4*d**2 + 3*d**3)*(5*d**2 - d**2 - 3*d**2) + (-3*d + d + 0*d)*(-d**4 + 0*d**4 - d**4).\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Solve -2*j = l*y, 0*j = -j - 2*y + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:28 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28289.657 + -28301. Round y to 1 dp.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -13*n + 9*n + 5*n, -s = -n. Let p(f) = 4*f**3 - 6*f**2 + 7*f - 5. Let k(i) = 4*i**2 + 1 - i - i**3 + 3*i**2 - 6*i**2. What is s*k(j) - p(j)?\nAnswer: 2*j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -339\/10 or -35?\nAnswer: -339\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:16 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - 0.8. Let y be 5\/(10\/(-3))*(-9)\/(-54). What is the third biggest value in y, 2\/9, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2080 - 2079.5. Let w = 3.33 + -0.33. Which is the biggest value? (a) 3\/8 (b) -1 (c) x (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 + 92928*v\/5 - 18585.\nAnswer: -3*(v - 30975)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c. Suppose 4*f - 2*r - 682 = 0, -7*f + 2*f + 2*r = -853. Let g(i) = f*i - 104*i - 92*i. Determine n(g(y)).\nAnswer: 75*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 54 = 154 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 406*l + 6. Let h(p) = 204*p + 4. Calculate 5*h(s) - 3*o(s).\nAnswer: -198*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1871*f = -105*f + 562*f + 160632 for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987, -1926, -2865, -3804, -4743?\nAnswer: -5682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let y(t) = -152369692*t**2 + t. Determine s(y(g)).\nAnswer: 304739384*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 28*m**3 - 15*m**3 - 12*m**3 + 1. Let j(p) = -p**3 + 4*p**2 - 1. What is -j(q) - 3*y(q)?\nAnswer: -2*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3 - 1)*-3. Let u(g) = -g**2 + g + g**3 + g + 2 - g - s*g**3. Let k be (4\/10)\/(1\/5). Determine u(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + 2*p**2 + p**2)*(0 - 4 + 3)*(3 - 2 - 3)*(-1 + 1 - 4*p**2) in the form k*p**4 + r + n*p**3 + u*p**2 + w*p and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1579 and 5733349.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q*q*q**(-1\/2)*q)\/q)**27*(q**1)**(-8))\/(q**(-4\/3)\/q**(2\/3)*(q**0)**11) assuming q is positive.\nAnswer: q**(177\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -29*(1 + 0 - 5). Is o\/(-3 - (-10)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s - 1\/175*s**7 - 24\/25*s**5 + 67*s**2 - 16\/5*s**4 + 0 - 3\/25*s**6 + 0*s**3. Find f such that b(f) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 at most 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 395230970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84006.82ml to litres.\nAnswer: 84.00682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n. Let u be (-8)\/(n + -2) - -1. Let h be 0\/(-1*(0 + -1)). Solve h = l - 3 + u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - f = -11, 3*f = 8*j - 11*j + 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 38. Solve 0 = -2*t + i - w - 1, 2*i = -2*t + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 7 + 41. Suppose -11*j + 186 + a = 0. Suppose 4*i = 33 + 223. What is the least common multiple of i and j?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-9)\/((-81)\/72) + (1 - -4) and 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68, -66, -64?\n\"Answer: 2*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + h + 10. What is the units digit of t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*p**2)*(-9*p**2 + 20*p**2 - 48*p**2).\nAnswer: 74*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28793352 a multiple of 934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2440 - -2445. Suppose 5*d + 4*l - 268 = 0, 6*l - 8 = 2*l. Suppose b*n - 197 = v, -n = 3*v + v - d. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66653.43 + 67112. Let a = -459 + h. Round a to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 1 = 13*v. Suppose z = 23 - v. Differentiate -z + 17*j**2 - j**2 + 9*j**2 + 0 wrt j.\nAnswer: 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*i*u**3 + 3*i*u**2 + 350954*i*u - 24093*u**3 - 2*u - 56 wrt u?\nAnswer: 1248*i*u + 6*i - 144558*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10422 and 4482.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 27) + (-2 - (-12 + 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 7*f + 3*f)*(-2 + 1 + 2)*(-4 + 1 + 5).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 325429241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:50 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 20. Let f(x) = -x**3 + 4*x**2 + 7*x - 3. Let s be f(a). Which is greater: 6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-3)\/2)\/((-36)\/(-2)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/5)*d)\/(d\/(d\/d**(-2)*d)))\/(d**(-2\/5))**35 assuming d is positive.\nAnswer: d**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -223, 413 in ascending order.\nAnswer: -223, -1, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 311 and 43229.\nAnswer: 43229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -811*g + 4. Let t(v) = 3025021*v - 14922. Let s(m) = 7461*c(m) + 2*t(m). Let f(p) = 4*p**2. Calculate s(f(u)).\nAnswer: -3316*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**6\/3 + 3*p**2\/2 + p. Differentiate v(b) with respect to b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + b**2. Let z(q) = -q**2 - 9*q - 8. Let r be z(-6). Let h(s) = r*s**3 - 5*s**2 - 7*s**3 - 7*s**3. Determine -2*h(p) - 10*j(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -20. Calculate the lowest common multiple of 18 and 6\/6 - 2\/h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -8 (b) -2\/17 (c) -53 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 4. Determine h(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0.07. Let j = 459 - 461. What is the closest to j in 5, f, 3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -16*k**3 - 68*k**2 - 32*k + 107. Let o(d) = 2*d**3 + 2*d**2 - 1. Let z(s) = 3*o(s) + u(s). Factor z(h).\nAnswer: -2*(h - 1)*(h + 2)*(5*h + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/5 (b) 2\/5 (c) 326 (d) 2\/9 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 + 53. Let t = -19 - y. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/3*((-22560)\/128)\/(-47)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3899 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*q - 5*q. Suppose a = -8 + 6. Let k be a - 2 - 6\/5. Does q = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -7. Let o(q) = q**3 + 5*q**2 + q + 7. Let b be o(j). Let y(t) = t**3 - 7*t**2 + 5*t + 3. Let s be y(6). Sort 1, b, s in increasing order.\nAnswer: s, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*j**2 + 363*j**2 - 184*j**2)*(0*j + 2*j + 0*j).\nAnswer: 824*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 2*z + 15. Suppose -28*c + 33*c = z. Calculate the remainder when c is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 0 + 2 + w - w. Calculate o(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 9*c - 7. Let l = 1 - 9. Does 18 divide x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -606809, -1213619, -1820433, -2427251, -3034073, -3640899, -4247729?\nAnswer: -4854563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5\/3 - 4*t**3\/3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:16 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.055 in -0.3, 1\/2, 0.2, -2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/18330 and -53\/85540.\nAnswer: 256620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:35 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 110*y**2 + 4186*y + 266. Determine w(-38).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386183 divided by -4?\nAnswer: -2386183\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 16*k**2 - 57*k + 53. Determine s(-18).\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 6*a**2 + 8*a + 24 = 0 for a.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 293526.45 seconds?\nAnswer: 0.485328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4177 (b) -2 (c) 3 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.00509 to one dp.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:11 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 738220\/19 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 140*y + 300.\nAnswer: -5*(y - 2)*(y + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y - 14. Let q = y - -18. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107235658.\nAnswer: 2, 19, 2821991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107302*x**3 + 36679*x**2 wrt x?\nAnswer: -643812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 2*h**3 - 1 + h to the form t*h + w*h**2 + l + j*h**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**5 - 3*j**5 - j**5 - 7*j**5 + 9*j**5 + j**5 + (-j**5 + 2*j**5 + j**5)*(-6 + 3 + 4) + j**5 - j**4 + j**4.\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 5051?\nAnswer: 5044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4744 - 4743.6. Let q = -1178\/9 - -132. Which is the third biggest value? (a) q (b) s (c) -4 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-336))\/((-10)\/(-28)*-2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10 and ((-1208)\/12)\/(0 + -12).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/29669 or -1?\nAnswer: -6\/29669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2436*a + 299656. Determine j(-123).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8330 - 9162263474.\nAnswer: -9162271804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - n**3 + 5*n**2 - 9*n**2 + 10 - 5*n**2 - 5*n. Let p be r(-8). Let k(z) = 24*z**2 + 4*z + 1. Is 7 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/180 + w**5\/30 + w**4\/12 + w**3\/6 - 4*w**2. Let m(q) be the first derivative of s(q). Solve m(o) = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + a**2 + 3*a**2 + (-3*a + 2*a - 6*a)*(7*a + 1 + 0 - 2*a).\nAnswer: -33*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 119 = -4*l, 0 = 4*u - 2*u + 5*l - 74. Let p(t) = u*t**2 - 13*t**2 - 11*t**2. Let g(q) = -5*q. Give g(p(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*v, -10*v = -5*v - 2*q. Let f be ((-499)\/(-15))\/((-2)\/3). Let t = 50 + f. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3499694 rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*r**5 - 300*r**2 wrt r?\nAnswer: -7680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 0*s**3 + 17*s - 45 + 1\/2*s**4 + 23\/2*s**2. Differentiate u(j) with respect to j.\nAnswer: 6*j**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -4\/3*o**3 - 5\/2*o**2 - 5*o - 2. Let l(u) = 5*u**2 + 6*u + 6. Give 6*h(v) + 5*l(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -331\/840 + -1\/168. Suppose -5 - 4 = -3*r. Which is the second smallest value? (a) j (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288743?\nAnswer: 3, 429581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -484.9473 - -485. Let x = u + -0.087. What is x rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.9 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*(-2 + 4). Let m(r) = -r**3 - 2*r**2 + 5*r - 1. Suppose -4*q + 0*q = -4*b + 100, -q + 27 = b. What is the remainder when m(h) is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/60 + m**4\/6 + m**3 + 9*m**2. Let d be ((-4)\/((-40)\/174))\/((-6)\/(-30)). Let y = d + -92. Determine v(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -11*x**4\/24 + x**3\/3 - 7*x**2. Let z = 3 - 6. What is the remainder when n(z) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 26864 = -f - 2*r, 0 = f - 2*r - 26858. Suppose -4*v - f = v. Let o = 32315\/6 + v. Find the common denominator of -68\/3 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 11, d: 7}. What is prob of picking 1 i and 1 g?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 451 + 115 = 0. Suppose u*a + 2145 = 51*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*w + 30*w - 116. What is the nearest to -2 in w, 2, 378?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958721 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14)*560\/192.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {s: 10, r: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2. Let o(v) = -v**2. Let n = 77 + -74. Let z(b) = 6*b**2. Let m(k) = n*z(k) + 21*o(k). What is m(j(d))?\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:33 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 152848975 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/292 and -73\/9420.\nAnswer: 687660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1416285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 716 + -723. Let y = -5.3 - -5. Which is the third biggest value? (a) y (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614293989.\nAnswer: 7, 11, 20964857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z + 6 - 6 + (1 - 6 + 4)*(3*z + 2*z - 3*z) + (-z - 5*z + 0*z)*(-4 + 0 + 3) - 1 + 6*z + 1 + 2*z + 4*z - 4*z as o + y*z and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*h + 8, 3160 = 8*o - 4*h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1045547 by 9.\nAnswer: -1045547\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1505645 is divided by 1875.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -12. Let y be l\/30 - 39\/(-45). Solve 6 - y = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 1. Let p(k) be the first derivative of 3*k**2\/2 - k + 65. Let v(t) = 6*d(t) + 5*p(t). What is v(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -518*(-72)\/(-1008) + 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19990 or -19984?\nAnswer: -19990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)\/(22\/33). Solve 2 = 2*y + z*p, 2*y - 3*p + 0*p = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/720 + w**5\/120 + w**4\/16 + 5*w**3\/36 + 7*w**2. Factor g(v).\nAnswer: -(v - 5)*(v + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/8*a**4 + 0*a - 3\/4*a**2 - 3\/8*a**3 = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 612250 in decreasing order.\nAnswer: 612250, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*(12 + 7 - 2)*(-1 + 1 + i**2) in the form l*i**2 + p + k*i and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1165.6547.\nAnswer: -233.13094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -2111?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-1170)\/312))\/(4\/9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43993 - 43948. Solve -64*r + t + 19 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*j = -74, 6*j - j = -2*p - 64. Let x = p - -25. Suppose 6*m - x*m - 288 = 0. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 - 1749 = 125*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48109\/2 - 336757\/14. Factor -15\/7*i**3 - l*i**5 + 0*i + 0 + 12\/7*i**4 + 6\/7*i**2.\nAnswer: -3*i**2*(i - 2)*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbaw when four letters picked without replacement from wwwwwbbwbwwwab?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 426, -2, 4.\nAnswer: -2, -1, 2, 4, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(3) - (-5 + sqrt(3) + -1))**2 + 1 + sqrt(363) - ((2*2*sqrt(18) - sqrt(18))\/sqrt(6))**2) + -3 + -1.\nAnswer: 9 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 225*p - 85*p + 0.\nAnswer: 140*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y)*(-31 + 2*y + 18 - 17).\nAnswer: 4*y**2 - 60*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 6 + (-7 - 7) + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*((sqrt(44)\/sqrt(4)*-5 - (2 + sqrt(11) + -2)) + -5)*-1)**2.\nAnswer: 3840*sqrt(11) + 26944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532654 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -10. What is the units digit of (1\/l)\/(1\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhahhhhahahhhhhhhhh. Give prob of picking 2 a and 1 h.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-384))\/((-252)\/(-48384)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2136 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -15769.\nAnswer: 4\/15769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-6 + 1 + -1). Suppose 4*i = 6*i + b. Let f(n) = 5*n**2 - n + 4. Let w(r) = 2*r**2 + 1. Let g(h) = -f(h) + 3*w(h). Calculate g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-10)\/15)\/(2\/(-132)) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0782 and -4.\nAnswer: -3.9218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 61984.694 and -626.\nAnswer: 61358.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*j - 1 - 2*j**2 + 3*j**2 + 39*j + (-1 - 2 + 5)*(4*j**2 + 0*j**2 - 3*j**2).\nAnswer: 3*j**2 - 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*z - 802*z + 7623 - 18032 - 12559 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:03 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4499 in -0.1, -0.4, 5, -6\/13, 2, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {b: 1, u: 10, g: 7}?\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12157, 12160, 12177, 12214, 12277, 12372, 12505, 12682?\n\"Answer: c**3 + c**2 - 7*c + 12162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 - 127. Let t(y) = 32*y - 22. Let q be t(4). Let v be q\/14 - 57\/(-133). Calculate the highest common divisor of z and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 70, 134, 210, 292, 374?\n\"Answer: -o**3 + 15*o**2 + 8*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 4376196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:03 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415383.4 millennia to decades.\nAnswer: 41538340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 + 8*d**2 - 6*d + 11. Let g(v) = -v**3 - v**2 + v - 1. Let j(s) = -4*g(s) - u(s). Let m be j(-5). Let r = -10 + m. Is r at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -50296*u**2 + 24. Suppose 3*a + 5*a + 104 = 0. Let o be c(a). Round o to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25002 is divided by 4149.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136*v**3 + 64*v.\nAnswer: -816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 81187348.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.32211349 rounded to 2 dps?\nAnswer: -2.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 210151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t + 2*i - 211 = 0, -2*i = 5*t - 1095. Suppose 4*j = 3*r + 866, -j = -2*j + 3*r + t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-1154))\/((-36)\/(-33514)). Let c = -4049\/3 - -2336269\/1731. Let b = c + x. What is the common denominator of b and -25\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191958702 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*a = 0, 0*r + 35 = 2*r + 5*a. What is the smallest common multiple of r and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110692626 divided by 3354322.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -23. Solve 0 = i - 2*i + l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o + 547 + 169 = -432 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -10. Let k be (46 - (1 - 1))\/2. Let w = k + -7. What is the lowest common multiple of u and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37351 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45354*b**2*n**3 - 915*b**2 - 162*b*n**3 - 19*b*n + 7041 wrt b.\nAnswer: -90708*n**3 - 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*n + 21 - 3 = 0, -3*c = 3*n - 18. Let b = 709 + -685. What is the lowest common multiple of c and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 193 + 110 + 8*u**3 - 67 - 184.\nAnswer: 8*u**3 + 2*u - 334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18729a9 (base 11) to base 7\nAnswer: 35625162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7661873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, 37, 5, -8\/19?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f**2. Let z = -1937 - -1939. Let k(t) be the first derivative of 0*t**z - 1\/3*t**3 - 4 + 0*t. Give p(k(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b - 2*b. Suppose -50 = -3*n - b*n. What is the remainder when (2\/3)\/(10\/435) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/14, 2\/7, 0, -0.14 in descending order.\nAnswer: 2\/7, 1\/14, 0, -0.14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 + 230*v\/9 - 232\/9.\nAnswer: 2*(v - 1)*(v + 116)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-20) + (-3)\/(-15). Solve 3*n - 5*n = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 864?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 4*a - 7*a. Calculate the remainder when (2412\/(-27))\/(28\/(-42)) is divided by a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06333 + -0.43667. Let i = -0.031 + 0.006. Which is the biggest value? (a) i (b) -0.2 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38343 at most 38230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 + 2*d + 3. Let i be b(-2). Is i != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-21) - (-18)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 55*b - 26*b + 13 - 5*b**2 + 14*b**2 - 22*b. Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 68.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/14 + (-14)\/(-49). Let l be (-2)\/(-1) - (-2 + -1). Solve l*z = v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w = 38*w + 270. Suppose 0 = 4*r - w - 105. Calculate the greatest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*m**3 - 59*m**3 - 1286*m**4 + 202*m**3 + 3*m**2)*(-m + m + 2*m).\nAnswer: -2572*m**5 + 4*m**4 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 2529 (c) 1 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12595 = -4366. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:44 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4206 - 4182. What is the greatest common factor of 6576 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85\/(-220) - (-12)\/(-33))*(0 + (-12)\/333)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/40 - 10420720\/(-100) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8045643 at least as big as -8045643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a49 - 2?\nAnswer: a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1060\/120 + 0 + 2\/12. Calculate the highest common factor of w and 1899.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ujujuujjju?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/5 - 14*p**4\/5 - 64*p**3\/5 - 96*p**2\/5 = 0. Calculate p.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2401.671 centimeters to kilometers.\nAnswer: 0.02401671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.57 + -0.7?\nAnswer: -11.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.8 - -16. Let j = 1582 - 1578. Which is the third smallest value? (a) 0.5 (b) -3\/4 (c) x (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/14*(-12)\/10. Suppose 3*o - 37 = 4*q, 0 = -2*o - 5*q - f + 43. Solve 0 = -3*k - 0*k - o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8943*g + 26822. Calculate n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*i*z**3 + 15*i*z - 488*i - 1 wrt z?\nAnswer: -36*i*z**2 + 15*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -7. Let h(d) = 2*d - 12. Let q be h(7). Let b(r) = q*r - a + 1 - 3*r. Let f(z) = 2*z**2. Determine b(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(6480)*6)\/((sqrt(1323) - sqrt(1323)*-2)\/sqrt(3))*-5)**2.\nAnswer: 648000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 3187580 - 6409155 + 3221575.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(132) - sqrt(132)*-1)*-4)\/(sqrt(96)\/(sqrt(8)*2) + sqrt(12) + sqrt(12) - (sqrt(12) - (sqrt(12) - (sqrt(972) - (sqrt(972) + 1*sqrt(972)))))).\nAnswer: 48*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 8683?\nAnswer: 52\/8683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(9\/2)\/t**(2\/45))\/(t**9\/(t\/(t*t**(-14)))) assuming t is positive.\nAnswer: t**(851\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/20160 - d**6\/720 - d**5\/6 + 2*d**2. Let w(j) be the third derivative of n(j). Differentiate w(m) wrt m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 7*t**4\/30 - 11*t**3\/5 - 2*t**2 + 15*t. Factor d(k).\nAnswer: 2*(k - 5)*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, 3\/2, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -1)*4\/(-5). Let z = 5 + x. Let n be ((-2)\/4)\/(z\/(-106)). What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*f**2 + 3505*f**2 - 1165*f**2 - 1160*f**2.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 29*m**3 + 9*m - 1 - 9*m. Does 14 divide d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365 + z**2 + 365 + 34*z**3 + (z**2 - 2*z**2 + 0*z**2)*(0 + 0 - 2*z))*(2 - 4 + 0).\nAnswer: -72*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -983? (a) -3 (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 26 = -5*r, 2*b + 2*r = 6 + 20. Put -3, 2, b in descending order.\nAnswer: b, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60018560 divided by -30009280.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*d**3*i*z - 133*d**3*i + 15*d**3*z + 2*d**2*i*z + 2*d**2 - 296545*i wrt d?\nAnswer: 816*i*z - 798*i + 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 * -0.012.\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 93, 329, 797, 1557, 2669, 4193?\n\"Answer: 10*q**3 + 56*q**2 - 2*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, d: 1, q: 3, a: 2, i: 3, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220603 is divided by 165.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -436700 * 4.1\nAnswer: -1790470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4 + 118*d**3 - 238*d**2.\nAnswer: -48*d + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = u - 2*u. Calculate the highest common divisor of 38 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 3*v**2 + 5*v + 6. Let g = 3 - 7. Let r be c(g). Suppose 5*b = b - 2*x + 26, r*x + 10 = 0. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from nhyaixay.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.34 - 0.66. Which is the closest to t? (a) 1 (b) 4 (c) -4 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + -2)*36\/10. Let b = u - -70. Let c = -13 + b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**4 - 46*u - 54. Let r(f) = 6*f**4 + 47*f + 54. Let j(q) = 4*o(q) + 3*r(q). What is the first derivative of j(z) wrt z?\nAnswer: -8*z**3 - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 870390 = a, 18*l - 580253 = 16*l + 3*a. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16678, 16676, 16674, 16672, 16670?\nAnswer: 16668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-16))\/((-111)\/(-10730518)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 38*n**2 + 74*n - 54. Let o be c(36). Suppose -o*i + 68 = -17*i. Calculate the remainder when i is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13134350 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = -x + 109, x - 105 = -3*b. Solve -2*y + 89 = x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 126*q - 8444. What is u(67)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 15, c: 4}. Give prob of picking 4 p.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 1 + 2.\nAnswer: 3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 2*c + 1. Suppose 0*r + 2*a + 8 = r, -2*r = 5*a - 16. Suppose -5*o - 6 = -r*o. Let b(p) = -3*p**2 + 2*p. Calculate o*j(y) + 3*b(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 5*v = -10*p, -2*p - 3*v - 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**25*x**(-2)*(x\/x**(-7))\/x assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963142, 1926291, 2889446, 3852607, 4815774?\nAnswer: 5778947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 2, 3, -2\/19683, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/259 + 127\/17094. Let n = x - 103\/264. Find the common denominator of (153\/(-136))\/(20\/(-240)) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Suppose 3*s + w*u = -u - 8, 5*s + 3*u = 8. Let b = -7 + s. Sort b, 4, -4 in decreasing order.\nAnswer: 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - 2*v + 4*v)*(v - 2*v + 2*v)*(4*v - 6812 + 3393 + 3360) as w*v + f*v**2 + b*v**3 + x and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2 + 2 - 3*a. Let g = 6 - 4. Let r(j) = -j**2 + 3*j**g - 4*j**2. Determine r(u(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m. Let t(f) = -5*f. Suppose v + j - 7 = -2*v, -4*j + 1 = 3*v. Let b(x) = -x. Let k(i) = v*b(i) - t(i). Calculate z(k(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 7*k - 160. Let q(i) = -4*i**2 + 8*i - 158. Calculate -5*q(j) + 6*t(j).\nAnswer: -4*j**2 + 2*j - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*x + 14*x + 19*x - 5*x + x + 2*x + (-1 + 1 - x)*(1 + 2 - 1) + x - 2 + 2.\nAnswer: 47*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124262372.\nAnswer: 2, 13, 2389661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -745\/11 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9))**26*((o*o**(-6\/13)*o)\/o)\/o**(24\/11) assuming o is positive.\nAnswer: o**(1603\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8169 = 223*g - 3*g + 411 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3))**(-16)*(l**(-6))**(-17\/3) assuming l is positive.\nAnswer: l**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17330977?\nAnswer: 2957, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + q - 4*q + 1. Let x(t) = t - 1. Let j(p) = -p**2 - 11*p - 9. Let f be j(-7). Suppose 3*o + o = -i + 5, 5*i = 2*o - f. Give i*x(d) - 4*l(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/300*-5*(-1560)\/(-7956).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c**2. Let u(p) = 2152*p**2. Give u(r(m)).\nAnswer: 174312*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.62 and -25.1.\nAnswer: 141.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)\/(2\/(-22)). Let r = m - 5. Let f = 9 + r. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*f**4 - 929682*f**2 + 46380214*f.\nAnswer: -276*f**2 - 1859364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -696 at most -692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7344\/5 + -1478. Find the common denominator of s and 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 95.3 and -0.14.\nAnswer: 95.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -187.2 and -61?\nAnswer: 11419.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 5235401822658.\nAnswer: 5235401822660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f + 0*f)*(53 + 208 - 33).\nAnswer: -228*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*f - 306*f = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 22\/6)*2070\/805. Suppose -3 = 3*d, -j*d - 429 = -4*a - 15*d. What is the lowest common multiple of a and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3\/8, -2\/3, 25\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 29681?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -856, -4\/3 in decreasing order.\nAnswer: 5, 2, -4\/3, -856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*r + 58 = -182. Solve 2*v + r*w = -9 + 2, -4*v - w = 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*m - 155*m - 225 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/22 and 2\/1 - (-202)\/20?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-6) + 3)*-4. Let j(k) = -2*k**3 - 23*k**2 + 10. List the prime factors of j(s).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1460 and (54\/36)\/((-2)\/(-6))*(3 + -1)?\nAnswer: 13140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7204 + 18.7204. What is the fourth biggest value in t, -3, -7, -1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 6*x - 3. Let v(d) be the second derivative of -d**3\/3 - 5*d**2\/2 + 7*d. Calculate the lowest common multiple of v(-7) and o(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2046.5 + -2042.5. Let i = -1 + 1. What is the nearest to 0.2 in m, 0.09, i?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*15\/(-25) + -34. Let n = 41 + g. Calculate the remainder when 59 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*t - 376, -11 = -2*w - 7. Calculate the greatest common factor of 168 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248 + 252. Solve -r*u + 1 + 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1377)*-1 + sqrt(1377))**2 + (-1*sqrt(1377))**2 + 1)*-6 + -5.\nAnswer: -8273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 60084*i - 601140.\nAnswer: 3*(i - 20038)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 652031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24240430 (base 6) to base 7\nAnswer: 6344205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100011110 - 101?\nAnswer: -1010100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1368580, -2737085, -4105590, -5474095, -6842600, -8211105?\n\"Answer: -1368505*a - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**6))*w**(-2\/37))\/(w**6*(w**(-1)\/w)\/w*w) assuming w is positive.\nAnswer: w**(109\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from qppppqp.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 4*c + 4*c. Let u(x) = 16*x - 16*x - 2*x**2. Give u(f(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.55*573064\nAnswer: 1461313.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -0.273.\nAnswer: 0.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 22 - -18) + -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10309774 + -816.\nAnswer: -815.89690226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -15*i - 110. Let b be (-6 - i)\/((-5)\/(-35)). Let f(x) = 4*x - 8. Determine f(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186*l**5 + 2*l**4 - 30*l**2?\nAnswer: 11160*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/15 - 17888*g**2\/15 + 13415608*g\/5 - 370976928\/5.\nAnswer: 2*(g - 4458)**2*(g - 28)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 4*r - 1. Let f(c) = -c**3 + 10*c**2 - c + 14. Let w be f(10). Let n be q(w). Differentiate n*s**4 - 10 - 19*s**4 + 1 with respect to s.\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose -p = 5*f - k, 4*f + p = 4 - 1. Let o be f\/((-3)\/6) - -15. What is the greatest common divisor of o and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 30*w**2 - 265*w - 2426. What is p(-23)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = 3*l + 28, -2*l - 22 = -3*i. Solve -i*r + 5 = -5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, v: 8, r: 4, a: 3, z: 1}. Give prob of picking 1 v, 1 r, and 1 a.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0. Let g = k + 0.4. Suppose 5*n + 0*n = 4*d + 29, d + 2*n = 9. What is the nearest to g in 4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 1\/2*b**2 - 1\/6*b**3 + 0 + b. What is the units digit of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*g + 4251 - 663, -4*g = -4*v + 3596. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 - -77.5. Let c = v + 26. Is c >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1 - 0, -15 = -5*b - 5*k. Let r be 1\/(8\/(-68)*(-1)\/b). Suppose 6*d - 12 = 2*d. Solve -o + z = 5*z - 21, o = -d*z + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -8.4.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 30*s**2 - 236*s + 2. What is w(8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 149 (base 16) to base 8\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2\/4 - 256869*j\/2 + 256866 = 0.\nAnswer: 2, 171244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6)*(-111)\/(-925). Sort l, -26, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, l, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2)*(-69)\/3. What is the remainder when 68 is divided by (r\/3)\/(5\/15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69587274 + 0.7945?\nAnswer: -69587273.2055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/(7\/168*8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10360 + -10355. Let g(q) = -2*q**3 + 10*q**2 + 3*q - 6. Determine g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30041, 30031, 30023, 30023, 30037, 30071, 30131, 30223?\n\"Answer: o**3 - 5*o**2 - 2*o + 30047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 19*p. Let m(c) be the second derivative of 5*c**3\/3 + c. Let v(l) = 5*m(l) - 3*u(l). Suppose 4*i = -2*k + k - 14, 3*i = 3*k - 3. Calculate v(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 1 - (-3 - -5 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -661501235 - -0.08523.\nAnswer: -661501234.91477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 265810.\nAnswer: -265810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 357\nAnswer: 20\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6286206 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b)\/b**(-4\/9))\/(b**(-4\/3)\/(b**(5\/2)\/b))*(b\/b**(-1\/2))**(-16)\/(b**(-1\/3))**(-25) assuming b is positive.\nAnswer: b**(-1019\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/85232 and -167\/6762.\nAnswer: 41167056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.1 (c) 2\/211 (d) 1\/6 (e) 4 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1275)\/(-30) - 7)*11\/(33\/24294) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-115)\/(-35) - 6\/21. Which is the fourth biggest value? (a) 2 (b) 2\/15 (c) 2\/9 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 13. Calculate u(-19).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 472893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p = -39*p + 6. Let g be 16\/p*18\/(-4). Let x(v) = 1 - 28*v**2 - 1 + g*v**2. Let m(l) = -l**2. What is m(x(c))?\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + b**2 + 27. Let m be f(0). Calculate the highest common factor of 297 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120.9 + -106. Let x = -6.3 - z. Let t = x - -21. Which is greater: t or -10\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 784400483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/619, 0.4, 5 in increasing order.\nAnswer: 3\/619, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 7*o + 181. Is -26 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 25 (b) -7.242 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 9*v = -25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15137275?\nAnswer: 5, 29, 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1424?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 19*o**2. Let a(f) = 25*f**2 - 44*f**2 + 22*f**2. Give w(a(c)).\nAnswer: 171*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 62, 84, 104, 122, 138, 152?\n\"Answer: -q**2 + 27*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*(1 + -61). Let c = -58 - -63. Suppose -3*a + m = 92, c*a + 75 = m - 75. Is a greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23506704 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 138*m + 111. Determine o(47).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -23, -41, -79, -143, -239, -373?\n\"Answer: -h**3 - h**2 + 6*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v - v**4 + 4*v)*(2 - 4 - 2)*(62 + 59 + 18).\nAnswer: 556*v**4 - 556*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3213960?\nAnswer: 2, 3, 5, 26783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 - 2*a**4 + 4*a - 8*a - a**4 + 3*a + 26 + 6*a**2 in the form g*a**4 + m*a + k*a**2 + l*a**3 + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3\/3 + 9*j**2\/2 + 12*j + 4. Let s be q(-8). Suppose -s*z = z - 35. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 286\/(-13) + -4 - 4554\/(-242)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08887 + 0.088870735. What is h rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 18*u - 75. Let h be p(11). Solve 5*v + 5*t = 10, -5*t + 10 = h*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-100.03.\nAnswer: 400.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*36\/(-495))\/(1\/((-75)\/6))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270732371 to the power of 1\/2, to the nearest integer?\nAnswer: 57190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/4 - v**3\/3 + v**2\/2 + 4*v. What is the remainder when 6 is divided by o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9234 and 38475.\nAnswer: 230850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35142450 and 1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -17879 = -17878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6 = 5*a, 74 - 83 = 7*a - 3*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d = 141 + 4059. What is the highest common factor of d and 1890?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 87 - 178 = -5*s, -5*s = -l - 250. Solve -25*z + 8*z = -s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12100 (base 3) in base 4?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 12:36 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 17\/(-5) + (-6)\/(-15). Let l be (x + 2)\/(-5 - -3). Suppose -390 = -l*m - 3*m. Does 39 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10970434278827787\/105536 + 103949688056. Let z = 9\/3298 - o. What is the common denominator of -69\/8 and z?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 201121165*f*g**3 + 52*g**3 - 4*g**2 + 5811*g wrt f.\nAnswer: 201121165*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 363*l - 5670 = 0. Calculate l.\nAnswer: -14, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 502. Suppose t = -3*l - 481, 2*t - 3*t - 5*l = 485. Are t and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1, -64, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/5 + (-30)\/50. Let a be (6 + 15\/p)*-1*10. Does 6 divide (231\/a)\/((-9)\/(-5) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/4 - (-50)\/80\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15250 divided by 2?\nAnswer: 7625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 966818130 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-9)*4\/((-64)\/(-12)). Let f = -1 + 3. Solve l - a*j - 23 = f*l, 0 = -4*l + 5*j + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -988, -1977, -2966, -3955?\n\"Answer: -989*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 + 152*o + 13. Let s be p(-10). Sort 25, 1, s, 1\/3 in descending order.\nAnswer: 25, 1, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.9 - 9. Let x = n + -0.2. What is the nearest to 0 in x, -2, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*h + 736 = -135*h. Calculate the greatest common divisor of h and 989.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*y - 2770, -4*b + 2202 = y + 2*y. What is the units digit of b\/(12\/3) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1440 and 1249200?\nAnswer: 2498400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14*o**2. Let z(s) be the second derivative of -s**3\/6 + 34*s. What is z(d(x))?\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = 3*s. Suppose 3*v = -s*v + 45. Calculate the remainder when 3 + ((-1)\/(-3))\/((-6)\/(-252)) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.422637 decades?\nAnswer: 410.71644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgggguugggggggggg. What is prob of sequence ug?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205802377 to the power of 1\/2, to the nearest integer?\nAnswer: 34725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -39. Let s = m - -14. Find the common denominator of s\/(-4) + (-61)\/10 and -43\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1324 - -143?\nAnswer: -1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42b - 2?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:40 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 + c - 2. Let k be g(1). Let r(l) = -9*l**2 + 7*l + 7. Let w(t) = 3*t**2 - 2*t - 2. Calculate k*w(q) + 2*r(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*j - 921*j + 208*j + 206*j + 304*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350737 + 0.1227449.\nAnswer: 350737.1227449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - 7*i**2 + 4*i**2 + 2*i**2 - 2*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsh when three letters picked without replacement from ghhshhghggshghg.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 75069036 at most 75069036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -312440?\nAnswer: -312431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -351*c**3 + 588*c**2.\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 3 - 5*k + 6*k - 2*k**2)*(2 - 3 - 5).\nAnswer: -18*k**2 - 6*k + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2 - 2 + (4 + 2 - 4)*(-4*h + 0*h + 2*h) + (-3*h - 5*h + 0*h)*(-4 + 2 - 2).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxj when four letters picked without replacement from xxjxxxxxxxxj.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2 + 7. Suppose j - 26 = p*m, 0*m - 2*m = -4. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*h - 22 - 80 = 0, -3*g - 4*h = -107. Let p = -22 + g. Factor 9 - 4 + y - p*y + y**2.\nAnswer: (y - 5)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.73 + -1.32. Let h = -32.41 + i. Let v = h + 38. What is the third biggest value in -0.7, 0, v?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/6*(-1365)\/(-35)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11354 (base 10) to base 11\nAnswer: 8592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - l - 8 + 2 = 0, 5*u = l + 30. Solve 5*a - 3*r + 11 = 0, -5*a + 7*r - u*r - 17 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dd5 (base 16) to base 2.\nAnswer: 1110111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*v**2 + 4*c**3*v - 11*v**3 - 40*v wrt v.\nAnswer: -4*c**3 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(180)*3 + sqrt(180) + sqrt(5))**2 - (sqrt(5) + (sqrt(5) - -1*sqrt(125)))**2.\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000237629 to six decimal places.\nAnswer: 0.000238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.113, 0.6699.\nAnswer: -7, -0.113, 0.6699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 12, 24, 42, 66, 96?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0*s**2 + 3 + 3*s**2 + s**2 - 6*s + s**3. Let o be y(-5). Suppose v - i = -v + 6, o = -4*i. Solve -16 = 4*q - v*j + 5*j, 2*q = -5*j - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2428*c + 95*c + 118*c - 115180 = 0 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 5 - (-1 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/147*24\/(-524)?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1783 + -0.05?\nAnswer: 0.1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 433778868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = -t + 6, -6 = -4*t + r. Let d be (1 - 1)\/((-4)\/t). Solve 10 = 5*f + 3*g - d*g, 5*g - 2 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, 4, -58, 5, -1\/6, 5\/8 in ascending order.\nAnswer: -58, -1\/6, -0.1, 5\/8, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108270.\nAnswer: 2, 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) + -2))*1 - sqrt(320))**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 133, 149?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 8019 = 5*p - 18*r, 5*p = -3*r + 8023. Calculate the remainder when p is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37944 is divided by 12645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 31950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n + 22*n - 58*n + 17*n - 370*n**2.\nAnswer: -370*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 702 - 1147 + 38*v + 629 wrt v?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o - 24 = 0. Let g be (-1)\/(-42)*6 + (-20)\/(-7). Solve o = -g*z + 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217595 is divided by 2367?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 5:26 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + 3*a**5 + 0*a**5 + (-a + 1 - 1)*(-1 - 2*a**3 + 1)*(3*a - a - 4*a).\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(468)*-2 - sqrt(468))**2 + (sqrt(468) + 2)**2 + 5 + (6*(sqrt(13) + 2)**2 - sqrt(637)*3) + 4.\nAnswer: -153*sqrt(13) + 4820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, s: 4, m: 6}. What is prob of sequence soo?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20913320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 5*o**3\/3 + 16. Let k(g) = 4*g**2 + 2*g**2 - 4*g**2. Calculate k(t(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (5 + (21 - 5 - 24 - (-5 + -2)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*h - 13 - 10*h - 3*h wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7870171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/2, -0.3517 in increasing order.\nAnswer: -3, -1\/2, -0.3517","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-44)\/(-40))\/(282\/235).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(1\/2))))**(-1\/10)*(x**(-4\/3)*x)\/x**(-1\/4) assuming x is positive.\nAnswer: x**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221 - -201000110?\nAnswer: 201021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, j: 2}. Give prob of picking 3 k.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -58740, -15 in decreasing order.\nAnswer: -15, -94, -58740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 55, 53, 39, 7, -49, -135?\n\"Answer: -c**3 + 3*c**2 + 2*c + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2779 - -2815. Solve -y*z + 34 = -38 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140885.\nAnswer: 5, 19, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -45*g + 3. Let c(r) = -15*r + 1. Give 17*c(z) - 6*y(z).\nAnswer: 15*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - -0.4. What is the closest to -0.1 in q, 3\/5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + n + 2*n)*(2 - 2 - 1) + 9*n - 20*n + 13*n - 7 in the form p + m*n and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 9785.\nAnswer: 3\/9785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -839, 5, -22, 15, 1, -5, 10 in decreasing order.\nAnswer: 15, 10, 5, 1, -5, -22, -839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 3 + (1045 - 1050)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 52 + 18 + (-4 + 5 + 3)*(-3 + 0 + 2) + 2 + 0 - 1)*(-3*f + 2*f + 5*f).\nAnswer: -224*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (356\/445)\/(1*84\/5)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21 = w, -372*w + 373*w + 2*l - 13 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4892.9 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(12) - sqrt(24)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 156\/11604701 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let h be (0 + -3 - -4)*-29. Let c = h - -33. Solve -c*x + x = -4*d - 5, 3*d - 2*x + 4 = y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2 + 9*p - p**3 + 10 - 1 + 4 - 7*p**2. What is the units digit of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/39)\/(8\/104)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1242 divided by -6\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 6*a**2 - a - 4. Let l(v) be the first derivative of -v**3\/3 + 3*v**2 - 3*v - 4. Let k be l(6). Is 25 a factor of o(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 5*h**3 + 4*h**3)*(1 + 0 + 1)*(-1 + 3 - 3 + (2 - 4 + 4)*(5 + 0 - 3))*(-130 + 84 - 127).\nAnswer: -3114*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*q + 514, -2 = 2*q + 2. Suppose 0 = 20*x + x - l. What is the lowest common multiple of 1 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -107. Suppose j - 44 = -5*p, -4 = -j - 0. Let g be (4 + 0 + 1 + 3)*p. Is t > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192, -2385, -3578, -4771, -5964, -7157?\nAnswer: -8350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**4 + 234489728*h**3 + 3436589299104888*h**2 - 6873179301678976*h + 3436589768084356 = 0.\nAnswer: -29311217, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 10*p - 12. What are the prime factors of b(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 111*d**8\/14 + d**4\/3 - 435*d**2\/2 + 20*d - 47. Find the third derivative of j(z) wrt z.\nAnswer: 53280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 1388*d + 28559. Determine p(21).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-286)\/(-55))\/((-637)\/(-490)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32064.83 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {u: 1, c: 5, j: 3, r: 4}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 27*v**2 - 937*v - 150. Calculate o(47).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -40, 0 in descending order.\nAnswer: 0, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:39 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 77. What is the remainder when 42 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -222*m**3 + 2*m**2 + 2*m + 1. Is o(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:18 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21619, -43052, -64461, -85834, -107159, -128424, -149617?\nAnswer: -170726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1429 (b) 19 (c) 40 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 8*u + q = 131, -u + q = -64. Let j = u - 63. Suppose 0 = j*i - 290 + 180. Calculate the remainder when i is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-16)\/10)\/(767\/65 + -12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696 = -149*k + 225*k - 134*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 26. Let i be a(12). Solve 0 = i*m + 3*l + 5 + 4, 5*l = -3*m - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r - 6 = 0. What is the tens digit of 1 + (68 - (2 + r))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6262 - -7078. What is the lowest common multiple of t and 544?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.429 - -0.229. Which is the smallest value? (a) 13 (b) -10 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000038908 rounded to seven dps?\nAnswer: -0.0000389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 58\/(-126) - 24\/(-42). Let n = r - 11\/18. Which is the smallest value? (a) -5 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkdzkddkdddzkkz. Give prob of picking 2 d and 2 z.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319166.8 micrometers to nanometers.\nAnswer: 319166800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0679406 kilograms in micrograms?\nAnswer: 67940600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 381333*k**3 - 1900654*k**3 + 2.\nAnswer: -2281987*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 33 + 15 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.97 + -3. Let p = n - -4.03. What is the third biggest value in 0.1, p, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 33 = 11*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -688, -1397, -2584, -4243, -6368?\n\"Answer: j**3 - 245*j**2 + 19*j - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3 + 185*b**2 - 74*b + 96854?\nAnswer: -6*b**2 + 370*b - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 2760 = -23*d. What is the greatest common divisor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-661 + 661 + 39*f)*(f + 0 + 0)*(-1 + 6 - 1).\nAnswer: 156*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -19. Which is the nearest to -1? (a) y (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10 + 7 - (0 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.006 + -0.006. Let i = -24 + y. Is i greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 v, and 1 e when three letters picked without replacement from {t: 5, o: 9, e: 1, v: 1, n: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 568932629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57591, -59449, -61307?\n\"Answer: -1858*d - 55733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 656a (base 12) to base 4\nAnswer: 2232202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -6*h**4 + 74948126*h**3 - 99930822*h**2 - 24982710*h + 49965412 = 0.\nAnswer: -2\/3, 1, 12491353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -387990 - -1540315\/4. Let q = w - -13807\/4. Let b = -552 + q. Calculate the common denominator of 52\/11 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1720 = -32*a - 183*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20457 less than 0.3?\nAnswer: 20457.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.02272718892 + -9?\nAnswer: -13.02272718892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from jggjgjjgggggjgjgggg.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4618507\/368235 + -2096\/167. What is the common denominator of 37\/147 and i?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 203741829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - n + 4*n + 11 = 0, -5*f = -n - 27. Suppose 18*u = -640 + 910. Solve 4*t = -4*i + 20, 5*i - u = -0*t + f*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:49 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138.9 - 133. Let q = 5.6 - s. What is the third smallest value in 2\/11, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 + 8*c - 41. Give y(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*t - 4*t. Suppose -t*c + 4*j + 18 = -c, 6 = -3*c - 3*j. Let k be 2\/5 - (2 - c). Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = -2*f. Let b = f - -11. Suppose -v + 4 = b*v. Sort v, 0.3, -0.4 in ascending order.\nAnswer: -0.4, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 65084.4.\nAnswer: 65084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 34*w**3 + 8*w**2 + 29*w + 8. Let u(l) = -23*l**3 - 5*l**2 - 19*l - 5. Let f(m) = -5*p(m) - 8*u(m). What is the second derivative of f(o) wrt o?\nAnswer: 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862*m - 260 = 842*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.56 * 880\nAnswer: 2252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*f + 2, 5 = -5*s - 3*f + 18. Let z(r) = 2*r**2 - 3*r + r - 5*r**s - 10*r**3 + 9*r**3. What is z(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-3 - 9\/(-3)) - 2. Suppose 5*o = q*z + 27, 2*o - 5*z - 23 = -8. Factor -1\/4*x**o + 1\/4*x**4 + 1\/4*x**3 + 0 + 0*x - 1\/4*x**2.\nAnswer: -x**2*(x - 1)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-17 - -41) - -78?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -418*p - 2898. What is j(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)*5\/2. What is the third derivative of 3*f**2 + f**2 - 4*f**5 - f**b wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258 + -74. Let v = d - 179. What is the closest to 0 in 0.6, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1195 divided by -5.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 + 92*f - 27. Give z(23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -27 + 6 + -26 + 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1317.5 to the nearest 10.\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/120)\/(4\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 190, 181, 160, 121, 58?\n\"Answer: -s**3 - 2*s + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*k - 6*v + 7*v, 3*k - 13 = v. Solve -3*l - 3*g + 8 = -10, -l + 2*g = -k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 2034*r**2 - 2034*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a hour in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*h)*(-62*h - 49*h + 13*h) + (4 + 2 - 3)*(-5*h**2 + 7*h**2 + 10*h**2).\nAnswer: -160*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1838 (b) -0.18 (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 34185d?\nAnswer: 341864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 121*r**2 - 235*r - 13685. Give v(-120).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2915*i**2 + 5583*i**2 - 2881*i**2 as w*i**2 + x*i + l and give w.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*v + 28, o + 25 = -3*v + 72. Let s(k) = v*k - 9*k + 4 + 0 + 1. Let r(f) = -f. Calculate s(r(n)).\nAnswer: -6*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25031 is divided by 128?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/612)\/(((-2)\/(-12))\/((-3)\/4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*j**3 - 92 + j - j + 93 to k*j**2 + f*j + w*j**3 + r and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2640a + -2?\nAnswer: -26411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (33 + -27 + -2 - 7) + -15 + 2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -12234134?\nAnswer: 12234200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 + 141*v + 47. Let t be x(-35). Solve t*d = 5*n + 11*d + 19, -8 = -2*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -3, 0 in ascending order.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 4*l + 26, -4*v - 889 + 897 = 4*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**0)\/d))**(-2\/67)*d**(-10\/7)\/(d*(d\/d**5*d)\/d*d) assuming d is positive.\nAnswer: d**(254\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 5*l + 40 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 bigger than -88370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/189 - 112\/342. Let w = -313\/9 + 35. What is the nearest to -0.1 in -5, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**3 + 1525242*u**2 - 1143938*u - 381312 = 0. Calculate u.\nAnswer: -190656, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14))**15*v*v**(18\/7)*v*v**(-30) assuming v is positive.\nAnswer: v**(-1648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6079 and -165?\nAnswer: -100.3035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-2)*1\/(-6)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -598\/3 - -200. What is the second smallest value in 8, f, 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 1\/41 (c) 21 (d) 0.2 (e) 2\/5 (f) 6\/17 (g) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = 1. Sort i, 2, -3 in increasing order.\nAnswer: i, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -6*i - 32. Let f(p) = -5*p**3 - 9*p**2 - 9*p - 9. Let z(v) = -2 - v**3 - 2*v - 1 - 2*v**2 + 1. Let q = -15 - 3. What is i*f(n) + q*z(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14091 or 266\/13?\nAnswer: 266\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2496\/5 + 499. Put m, -13, -1 in descending order.\nAnswer: m, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -0*p + p + 3*w, -5*p = 5*w - 465. Calculate the remainder when p is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -7*i**4\/4 - 9*i**2\/2 + 10. Find the second derivative of u(g) wrt g.\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqk when three letters picked without replacement from {q: 4, w: 4, k: 6, i: 4}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:09 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 + 263604*n**2 + 179235*n wrt n.\nAnswer: -6*n + 527208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -34 + (2 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:03 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.18433 litres?\nAnswer: 56184.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1, 0.5, -5, -0.5, 42.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3479 + 11512. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z = -2*u + 31*z + 50, -75 = -3*u + 5*z. Calculate the highest common divisor of 305 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 80 = 6*z, 2*z = 3*s + 4 + 28 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/5 + 182*m\/5 - 372\/5 = 0. What is m?\nAnswer: -93, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 6, -0.1987?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2973447314 + 21.\nAnswer: -2973447293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111 (base 2) in base 5?\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -14914 - 34662. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 - 2 + 2 + (0*u**2 + 2*u**2 - 3*u**2)*(-3 + 0 + 9) in the form f + h*u + g*u**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(2688\/(-441))*-6)\/(-3)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, m: 6, l: 2}. What is prob of sequence lmxm?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -b. Let y(r) = 2*r - 12*r**2 + 14*r**b - 2*r. Let d(s) be the first derivative of 13*s**2 - 116. Determine y(d(c)).\nAnswer: 1352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhhhkhttttkhtthk. Give prob of picking 1 u and 3 t.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, w: 2, z: 3, o: 2, q: 9}. Give prob of sequence owqh.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**6\/15 + 16*r**2 + 6*r. What is the derivative of u(q) wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45659*t + 91316*t - 45655*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 181*f + 23 + 46 - 71 + f - 11 + 11 + (3*f - 6*f + f)*(0 + 1 - 4).\nAnswer: 188*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 9258.\nAnswer: -2\/4629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 3*f**2 - 3*f - 2. Let k be i(3). What is the units digit of k - -12 - (-9 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 5*w + 7. Let x(m) = m**2 - 3*m - 4. Let v(y) = -4*d(y) - 7*x(y). Let a be v(1). What is the derivative of -2 - 1 - 2*q**2 + a wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1\/72*b**4 - 1\/315*b**7 + 0*b**3 + 11*b**2 + 1\/90*b**5 + 1\/1008*b**8 + 0*b**6 + 0*b + 0. Solve r(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*a = -0*g - 7, -3*g = -3*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102996 - 206807 = -4179*i - 91470 + 57481 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 30) + (-8 - -1) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/579 and -6\/1351.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from gcggcanaclnjaga?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 0) + 29 - (0 - 31)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19538 - 19537.5. Which is the third smallest value? (a) 3 (b) 492 (c) o (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12271900 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -53. Let w(t) = t**4 - t**3 + t - 1. Let z(p) = 31*p**4 + 3*p**3 - 17*p + 4. Let a(h) = y*w(h) - z(h). Find the second derivative of a(n) wrt n.\nAnswer: -408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 - 9 = 0. Let v(p) = 6*p - 3. Let f = -82 + 83. Let z(n) = 15*n + f - 32*n + 15*n. Give l*v(k) - 8*z(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217154018.\nAnswer: 2, 108577009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*w - 52 = 0, 3*m = -4*w - 3 + 29. Put 4, m, 6 in decreasing order.\nAnswer: m, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:17 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 19. Let q be p(0). Let i = -1086 - -1092. Suppose -2*w - 3 - 9 = 4*u, -i = -w + 4*u. Put w, 3, q in decreasing order.\nAnswer: 3, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -121818225, -243636449, -365454673, -487272897, -609091121?\n\"Answer: -121818224*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 4, 1, 34156?\nAnswer: 34156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -67.9. What is the nearest to i in 0.03, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2307 = 8*t - 1229. Suppose t = l + l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 224*d + 7. Let t(u) = 2*u + 1. Let x(p) = -f(p) - 6*t(p). What are the prime factors of x(-2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16 - -35) + 3 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -91, -171, -275, -403?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 27 = -7*l + 3*y, 0 = -2*y + 8. Let r(u) = u**3 + 5*u**2 + 5. Let v be r(l). Suppose 3*c - 16 = -v*q + 162, 54 = c + 3*q. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28020?\nAnswer: 2, 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - 1. Which is smaller: j or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 244, 226, 208, 190, 172, 154?\n\"Answer: -18*a + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 0)*15\/9. Suppose 10 = -3*m + s*m. Let n = -10 - -24. What is the remainder when n is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 81. Suppose -3*u - 2*s + 335 = -3*s, 0 = 2*u + i*s - 216. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*y + 1 = 3*f, 2*f = -3*y + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7774 + -8101. Which is smaller: m or 16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 10 - 58\/2. Let h = -25 - u. Suppose h = -s + 5*s - 104. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b**5 - 3*b + 2?\nAnswer: 380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13309601 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 2*b**3\/3 + 2*b**2 - 3*b + 4. Let x(g) be the first derivative of s(g). Let n(k) = -23*k - 23. Give -6*n(o) - 34*x(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 5. Let r be q(-2). Let u = 3.4 + -0.4. Which is the nearest to -3? (a) -4\/5 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362 divided by -6?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171039790 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14549\/50 + 291. Let y(g) be the third derivative of 0 + 2*g**2 - 1\/30*g**4 + 0*g - p*g**5 + 0*g**3 - 1\/300*g**6. Factor y(j).\nAnswer: -2*j*(j + 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 293804\/165 - 3561\/2. Let r = -2\/55 - a. Is 0 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 22. Let u(v) = v**3 + 22*v**2 + 41*v + 35. Let r be u(-20). Give y(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 20. Let q(y) be the second derivative of y**2 + 8\/3*y**3 + 0 + 11\/3*y**4 + 12\/5*y**c + 2*y + 3\/5*y**6. What is d in q(d) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o**2 - 8*o + 6. Let l(t) = 10*t**2 - 9*t + 5. Give 6*l(p) - 5*m(p).\nAnswer: 5*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*i + 30, 4*r - 5 = 15. Let n(s) = -s**3 + 14*s**2 - 2*s + 18. Let d be n(14). What is the lowest common multiple of 5\/(d\/(-24)) + -1 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -349, -515, -687, -871?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 2*y + 7. Let i(a) = a**3 - 4*a**2 + 3*a - 3. Let b be i(3). Let o be x(b). Let q = o - 14. Calculate the remainder when 64 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/(99\/4686). Solve -m + 69 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11722 and 400?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*(((-45)\/54)\/1)\/(5\/(-3))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 768775867\/36 + -21340777. Let c = p + -14111. Let y = -581\/657 - -24\/73. Calculate the common denominator of y and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199304693\/16 - -12466169. Let k = u + -9630. What is the common denominator of k and 11\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - b89?\nAnswer: -b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236932.\nAnswer: 2, 59233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a. Let g(p) = -8*p + 7. Let o be g(0). Let r be 3 - (o - 0\/7). Calculate b(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/30 + -11\/10. Suppose 10*m = -3 + 3. Let g be (-35)\/(-84) + 1\/(-4) + m. Which is the nearest to f? (a) g (b) 14 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 374\/9 (c) 10 (d) 17 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370220948 + 370220948 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121212 - -1220122?\nAnswer: 21210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*i - 50, 2 = z + 4*i + 1. Let j(o) = o + 0*o + 15 - 2*o + z. What is the tens digit of j(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*3*5 + (sqrt(130) + (sqrt(130) - (sqrt(130)*1 + sqrt(130))))*6)\/((sqrt(10) + sqrt(10) + sqrt(250))*-5 - sqrt(30)\/sqrt(48)).\nAnswer: -20*sqrt(13)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v - 58. Let y be z(-9). Suppose -22*l + 16 = -y*l. Let u be ((-39)\/l)\/((-11)\/110). What is the highest common factor of 78 and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**0\/n))\/n*n*(n\/(n\/n**4))\/n*(n**1)**47 assuming n is positive.\nAnswer: n**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110220 - -1020201020?\nAnswer: 1021012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*m = -125*m - 129*m - 3934 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 35*w**2 + 10*w + 103. What are the prime factors of h(-27)?\nAnswer: 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2149544591 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/19 - 45160*n**2\/19 - 180616*n\/19 - 180608\/19.\nAnswer: -2*(n + 2)**2*(n + 22576)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1914 times -12.6875?\nAnswer: -2.4283875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 t, and 1 i when three letters picked without replacement from mwirt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252191033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.771 - 19.331. Does 14 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/8 + (-1)\/24*-27600018. Round b to the nearest 10000.\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 483271247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54722 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.5346427 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from uururrruuuuruu?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 14 = t, 3*p - 35*p = -6*t + 236 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(27) + sqrt(40))\/(sqrt(24)\/(sqrt(3)*1)))**2 + -5.\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -294, -590, -886, -1182, -1478?\n\"Answer: -296*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence didy when four letters picked without replacement from eiyyzdd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -72661 in ascending order.\nAnswer: -72661, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.059? (a) -3\/5 (b) -4 (c) -2 (d) -3\/2 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.13537386 to 2 dps.\nAnswer: 6.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*p = 102*p + 75. Let d = -0.6 + 0.1. What is the closest to -7 in p, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29515 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 12 (b) -0.5 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:53 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 919*o - 918*o + 1.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 62, 43, -4, -91?\n\"Answer: -2*b**3 + 4*b**2 - b + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 11:21 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 650, 644, 636, 626, 614, 600?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/398 and -71\/14.\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyylylxlylyyyxyy. Give prob of picking 2 y.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2) - (-3)\/(-6). Suppose 2*f + 4*r + 154 + 874 = 0, 5*r = -4*f - 2047. Let k = f - -520. Solve -g*p - 2*p = -k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129972*d + 124920*d - 419058 = 182130 for d.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let g = -44 - -1495\/34. Let p = -71\/102 - g. What is the smallest value in -1\/11, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-28)\/o**(-1\/5) assuming o is positive.\nAnswer: o**(-139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3*h + h + 105*h**2 + 2*h.\nAnswer: 105*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 277366, 85, -1 in descending order.\nAnswer: 277366, 85, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + v = -6 - 1, g = -3*v - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttctwtttt. Give prob of picking 1 t and 1 w.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**2 - a**2 - 35*a**3 - 9*a**2 + 129 + 3*a**3 wrt a.\nAnswer: -96*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1 + 9. Let q be -1*-3*o\/(-12). Find the second derivative of -w**q - 6*w + 4*w**5 + 19*w + w**2 wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 8 = 4*t - x, -t + 3*x = -7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 282\/(-385776)*152*(-144)\/70.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/30 + 13*g**4\/24 - g**3 + g**2 - 19*g. Let h(z) be the second derivative of d(z). Give h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343984342 divided by 1963\nAnswer: 175234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 3*g - 1093864 = 13*q, -3*q - g + 1640785 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8898c9e - 3?\nAnswer: -8898ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 - 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 + 19*r**4\/24 - 11*r**3\/3 - 4*r**2. What is the tens digit of c(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 966.46643 + -672.46764. Let g = 296.01 - 2.01. Let a = g - s. Round a to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011 (base 3) in base 12?\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 3*v + 2*v)*(-4 + 3 - 2)*(1 + 3 - 8)*(v**3 - 5*v**3 + 2*v**3 + v) to the form h + k*v**3 + a*v + q*v**4 + n*v**2 and give n.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 627018784\/48 + (8\/3 - 3). Let c = n - 9192891. Round c to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmyypyyfuyyyyyyf. What is prob of sequence yu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -1, 2\/25, -0.05, 4.9, -25, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g + 26. Determine i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2362052, -2362076, -2362096, -2362112, -2362124, -2362132?\nAnswer: -2362136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 197301 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 + 17*p**3\/2 + 39*p**2 + 70*p + 44.\nAnswer: (p + 2)**3*(p + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 326. Let f = -2 + 1.8. Which is the biggest value? (a) k (b) f (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/17 + 125\/119. Let q = 243 + -246. Let n be 4 - 2*(-2)\/(-4). What is the nearest to h in q, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 4*j**2 + 5*j**2 + (526 + 462 - 924)*(3*j**2 - 6*j**2 + j**2).\nAnswer: -126*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383124985.\nAnswer: 5, 11, 29, 31, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -16. Let f = g - 11. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3304 - -5950. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2*u + 263079*o**2 + 23668*o*u + u wrt u?\nAnswer: -2*o**2 + 23668*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-6)*(-92)\/4301?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49b (base 14) in base 8?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 22, 51, 90?\n\"Answer: 5*c**2 + 4*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 12 - 15)*(o**2 + o**2 - o**2) - 6*o**2 - o**2 + 4*o**2 + (4 - 4 + 2)*(-4*o**2 + 3*o**2 + 2*o**2).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p. Let c(o) = o + 32. What is c(k(x))?\nAnswer: 6*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15 (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let j be a(-5). Let b = 32 - 23. What are the prime factors of b\/(j\/2) - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1623463*v**2 - 1342071*v.\nAnswer: 3246926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (488\/40)\/(-1*1*(-270)\/1350)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(297\/(-121)) - -6)*3 - 40.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2230519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkuuuuuuua. What is prob of picking 2 u?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 - 6\/(-30). Which is bigger: b or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5871 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32*1\/((-4)\/4). Let s = -29 - n. Suppose 5*p - 2*p - 131 = -4*q, -s*p - 2*q = -127. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*m**3\/2 + 1105*m**2 + 2590*m + 860.\nAnswer: 5*(m + 2)*(m + 86)*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 231670147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 241037 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*h - 2068, -19*h - 2555 = -14*h - 5*i. Is -516 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 divided by -32?\nAnswer: 485\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 744872189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 185996007?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t = 0. Sort 6, t, -1.\nAnswer: -1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5097 at most 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 - 140154910*t**2 - 619379468*t?\nAnswer: -6*t - 280309820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3015982*0.5.\nAnswer: -1507991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 138215.\nAnswer: 138215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + (-1)\/4. Let q(b) = -b**3 - 2*b + 7. Let y be q(r). Suppose 120 = -2*s + y*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.34095, -3.\nAnswer: -3, -0.3, 0.34095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = 3*p + 11, 2*x + p = 9. Suppose -x*d - 1 = -17. Differentiate -5 - 4*t**d + 21*t**4 - 13*t**4 with respect to t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a240 (base 12) to base 16\nAnswer: -44d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1217 + 254. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 1. Let x(m) = -m - 11. Let v be x(-10). Let h = 52 - 32. Let y(t) = 25*t**2 - 5*t - 30. Let o(a) = h*u(a) + v*y(a). Factor o(r).\nAnswer: -5*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5866141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, 3, -54 in ascending order.\nAnswer: -177, -54, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802020.3ng to grams.\nAnswer: 0.0008020203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -0.3 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2282 - 43?\nAnswer: -42.7718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 - 5*j**4 - 18*j**2 + j**3 - j**4 + 6*j**4 in the form k*j**3 + p*j**4 + f*j**2 + x*j + r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -306 + 302 - (-1 - (13 - 2\/(-1)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-12)*-6*(-1)\/(-1). Suppose -o*t = -m - 1069, -m + 0*m = -5*t + 1336. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -12. Let r = 12 - z. What is the biggest value in r, 0.3, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87049899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2518 and 36\/5.\nAnswer: 12590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 10 - (-1 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3662 + 62019. Let o be l\/4095 - (-4)\/(-18). Let u = o - 68\/5. Which is the closest to -0.05? (a) u (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -941534\/577 or -1631?\nAnswer: -941534\/577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87024, -82151, -77278, -72405, -67532?\n\"Answer: 4873*o - 91897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14435 (base 6) to base 15.\nAnswer: -a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)*h)\/((h*h\/(h\/h**(15\/4))*h)\/h)*h*h**(-1\/3)*(h\/(((h\/(h\/((h**(-2\/7)*h)\/h))*h*h)\/h)\/h*h))\/h assuming h is positive.\nAnswer: h**(-3677\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.4, -1, 0.5, 0.8, -4 in descending order.\nAnswer: 0.8, 0.5, -1, -4, -9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 17*d - 18. What is the tens digit of i(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28696 and 25126.\nAnswer: 21206344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + 2.2. Let u = l - 3.29993. What is u rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {o: 4, s: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 - 81. Suppose -3*h + q = h. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6614867 to three decimal places.\nAnswer: 1.661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 + 2082?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62? (a) 0.3 (b) 520 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Suppose -2*f + 3*p - 4 = -5, 5*f - 9 = p. Suppose t + k*h - 22 = 8, 65 = 5*t - f*h. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 4808*m**2 + 160842*m.\nAnswer: -2*m*(m - 2437)*(m + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99)*-1*-5)\/(-2*-1*sqrt(9)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83132 + -83662.17. Let r = j - -10.37. What is r rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198 - -62. What are the prime factors of g?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d**(-5))\/(d**(2\/7))**(3\/40) assuming d is positive.\nAnswer: d**(557\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-4*b**2 + 3*b**2 + 2*b**2 + (-3*b + 5*b - 4*b)*(-5*b + 4*b + 2*b) - 2*b + 41*b**2 - 17*b**2 - 20*b**2).\nAnswer: 6*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*l**3 + 364906*l**2 - 22053942*l?\nAnswer: -36*l + 729812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 12*u**2 + u + 14. Suppose -w + 16 = 3*w. Suppose -5*v - 12 - 46 = w*d, 5*v = -10. What is the units digit of o(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyyine. What is prob of sequence yny?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**4 - 3*s**4 - 11*s**2 + 2*s**6 + 11*s**6 wrt s?\nAnswer: 1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/12*(-4)\/(32\/(-98172)). Is (-2)\/(-4)*(q\/(-6) + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*f - 10 = 0, -3*a - f - 11 = -6. Let m(p) = p**2 + 7*p - 7. Let o be m(-8). Let l be 2*(-1*2)\/(-4). Solve y + l + o = a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 907.4 + -907.5. Which is the nearest to 0.03? (a) -5 (b) z (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10775?\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*l - 2, 5 = j - 2*l - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17) + 2 + sqrt(204)\/(sqrt(12)*3))*2.\nAnswer: 4 + 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9792 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4511, 4323, 4011, 3575, 3015?\n\"Answer: -62*t**2 - 2*t + 4575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1\/3 (c) 5 (d) 0.18 (e) -14\/5 (f) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 11 - ((-5 - -8) + 34)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -770815 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2 - 2)\/(-4))\/(-1). Let j = 6 - r. Solve -2*s - 22 = 4*p, -2*s + j*s + p + 23 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:01 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + n**2 + 6*n - 9. Calculate t(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.3849159 - 0.03.\nAnswer: -23.4149159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/3*(16 - 1). Suppose -6*u - 1349 = -m*u. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 259 + 2755 = 0. Let f = -1 - j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.5 - -5.5. Let x = -0.06 - -0.26. What is the biggest value in u, x, 0, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**3 - 82911695*d**2 + 165823410*d = 0.\nAnswer: -16582341, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -5\/4 (c) -255.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(5\/4)*(u**(-2\/3)*u)**(-42))**30 assuming u is positive.\nAnswer: u**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*f - 19. Let s = f + 46. Suppose -s = -a - 5. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -801 and -0.38.\nAnswer: -801.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 - 4*s**2 - 27. Let i(c) = 4*c**3 + 5*c**2 + 26. What is -4*i(a) - 5*x(a)?\nAnswer: -a**3 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 6, j + 2*s = -s - 176. Let d = j + 330. Suppose d = -c + 6*c. What is the remainder when c is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3999*g + 13. Let c = 39 - 44. Let i(f) = 7997*f - 27. Let b(k) = c*w(k) - 2*i(k). Let h be b(11). Round h to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -861, -2010, -3701, -5982, -8901?\nAnswer: -12506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4313342441 - 1?\nAnswer: -4313342442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -27*l**3 + 13*l**2 - 5*l + 4. Let i(n) = 53*n**3 - 24*n**2 + 9*n - 7. Determine -7*a(d) - 4*i(d).\nAnswer: -23*d**3 + 5*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 191*b**4 + 4*b**2 - 4*b + 116. Let f(r) = -573*r**4 - 11*r**2 + 11*r - 349. Let l(p) = 4*f(p) + 11*i(p). Differentiate l(z) with respect to z.\nAnswer: -764*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 1113, 1730, 2419, 3204, 4109?\nAnswer: 5158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 941, 3476, 7677, 13544, 21077, 30276?\n\"Answer: 833*w**2 + 36*w + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/45 + 2)*-1*5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*j + 26478765 = -12862502. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -12*n + 13, -3*n - 5 + 2 = 0. Solve 24*m - 2*y = 28*m - 16, p*y = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -45. Suppose 0 = -2*q - q + 39. Let j = q + y. Solve 0 = -0*d - j*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9730 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**5\/60 + p**4\/9 - 5*p**3\/18 + p**2\/3 + 21*p. Factor s(l).\nAnswer: -(l - 2)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n + 39. Let x(o) = 6*o + 59. Calculate -8*f(q) + 5*x(q).\nAnswer: -2*q - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9 + 17230\/10 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -23*t + 21*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:11 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2533522*r + 2542970*r - 5076494*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26) + -3*sqrt(104))\/(sqrt(50)*-2 - sqrt(2)) + -2 + 4)**2.\nAnswer: 20*sqrt(13)\/11 + 809\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2143689 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -3*i - 10, -i + 3 - 1 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = v - 6, 3*f = 4*v + 23. Suppose f*r = 3*y + 259 - 53, r - 55 = -4*y. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129\/26 in 1, -0.3, 22, 0.2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1113 - -1110. Which is the nearest to -0.1? (a) m (b) -5 (c) -0.09 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x. Let b(y) = 3*y**2 + 3*y + 9. Suppose 0 = -4*d + 37*z - 39*z + 6, 3*z = -2*d + 5. Give d*b(p) + 5*s(p).\nAnswer: -2*p**2 - 2*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let j = 26 + p. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + 21*h + 33. Determine k(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*f*z**4 - f*z**2 + 3*f - 172 wrt z?\nAnswer: 332*f*z**3 - 2*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h - 2*h + 0*h)*(-2*h**2 + 0*h**2 + 0*h**2 + (3*h + 0*h - 4*h)*(0*h + 3*h - 4*h) + 3*h**2 + 4*h**2 - 3*h**2).\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 28*l - 150. Let d be f(-33). Solve -5*x + d = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.9 + 2.546\nAnswer: -3.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1296, 2452, 3588, 4692, 5752, 6756, 7692, 8548?\nAnswer: 9312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 156 (base 11) to base 2\nAnswer: 10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - t + 25 - 9, -5*w - 4*t + 9 = 0. Let f be (12\/w)\/(48\/160). Solve g = -5*d + 10, -d + f = 2*g - 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3\/8 + 69*h**2\/8 + 39*h\/4 - 18 = 0. Calculate h.\nAnswer: -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-18))\/(1\/(-1029))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0165 and -59573785724.\nAnswer: -59573785723.9835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)*a)\/((a*(a*a**(3\/14))\/a)\/a))\/(a**(-6)*a*a)**(4\/11) assuming a is positive.\nAnswer: a**(881\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 142*d**2 - 278*d - 138.\nAnswer: -2*(d + 1)**2*(d + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 16 + 29*y - 4 - 6*y**2 in the form w*y**2 + v + m*y and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**6\/6 + 7*s**3\/3 + 7. What is the third derivative of t(q) wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/131306 and -73\/8.\nAnswer: 525224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**4 - i**3 - i**2 + i + 1. Let n(h) = 4*h**4 - 13*h**3 + 99*h**2 - 259*h + 253. Let u(f) = 5*n(f) + 15*s(f). Factor u(g).\nAnswer: 5*(g - 4)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18 = 6, 0 = 4*y + 7*i - 81750. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 22 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 4:26 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*q, -4*u - 113*q + 110*q = -217. Calculate the remainder when 358 is divided by u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1347888, 2695766, 4043644, 5391522?\nAnswer: 6739400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 16 = -4*j, j - 94 = -2*o - 87 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*s + 3. Let a be -2 + (-1)\/((-2)\/(-6)). Put a, s, 3 in ascending order.\nAnswer: a, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:53 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 67*j - 6916. Suppose 3*w = w + 34. What is the remainder when f(106) is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 49233104 - (7 - 0). Let j = 25823092 - b. Round j to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*p + 12, -4*k + 15 + 4 = -3*p. Solve -5*g = -k + 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, k: 4, q: 5, w: 3}. Give prob of picking 1 w, 1 k, and 2 d.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4100413212 + -3?\nAnswer: -4100413220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 35 + 18 - 32)*(117*p - 147*p - 72*p) as b + y*p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-10)*(-10)\/4. Let t = -64 - -36. Calculate the common denominator of (138\/t)\/(2 - l) and -43\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 6*j**2 - 11*j - 13. Let f be s(-4). What is the remainder when -38 + 331 - 4*f is divided by 95?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129412 is divided by 2588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71, -64, -55, -44, -31, -16, 1?\n\"Answer: a**2 + 4*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203409 - -203412.50058. Let u = o + -3.5. What is u rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 - 161*g - 379 + 50*g.\nAnswer: -111*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 13*c**2 - 28*c + 35. Let a be o(-15). Suppose -m - m - 6 = -w, -a*m - 10 = 0. Solve -b + 10 = w*f, 3*b = -3*f + 2*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 37251565270?\nAnswer: 37251565274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -67 (b) 0 (c) 78 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 13. Let g = -9 + 7. Sort g, -4, s in increasing order.\nAnswer: s, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2660 and 798.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 4, n: 2, h: 1}. What is prob of sequence uu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 30915*v.\nAnswer: 5*v*(v + 6183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/35, 2\/1289 in decreasing order.\nAnswer: 1\/35, 2\/1289, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r\/(r\/(r**(-1\/19)*r*r)))\/r)*r**(-2)*r*r\/(r**(-36)\/r)*r**(-16) assuming r is positive.\nAnswer: r**(400\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5 = 4*x, 3*s + 3*x - 9 + 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-6) - 6*(-5)\/180. Let m(s) = -s**3 - 3*s**2 - s + 2. Let g be m(-2). Is i != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54927479*s**4 - 48265618*s wrt s.\nAnswer: 659129748*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 5:01 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**3 - 7*n**2 - 2*n + 12. Let f(s) = 5*s**3 - 7*s**2 - s + 13. Suppose 61 = 15*x + 1. Let v(r) = x*i(r) - 3*f(r). What is v(8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2. Let g(u) = u**2 - 6. Let o(s) = -s**2 + 5. Let t(r) = -5*g(r) - 6*o(r). Give f(t(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -11455?\nAnswer: -5727.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1024534 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/7 + 90*u**2 - 9568*u\/7 = 0. What is u?\nAnswer: 0, 16, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3935750*i**5*n**2 - 976*i**2*n**2 - i**2 - 7*i*n**2 - i + 4*n wrt i?\nAnswer: -236145000*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1613.781 + -1614.3254844. Let z = 0.0455726 - y. Let c = z - 0.59. Round c to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3 in increasing order.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*v + 507*v + 99*v + 3*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 19*b + 2*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6)*2)\/(6*sqrt(8)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 3:21 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.1. Let i be 92\/(-10) + 1\/5. Let t be ((-4)\/(-33))\/(6\/i). Which is the second smallest value? (a) t (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 576, 2273, 5082, 8991, 13988, 20061?\n\"Answer: -2*u**3 + 568*u**2 + 7*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-4 - -4) - (2 - 1). Suppose 5*r - 27 = v*w, 10*r - 9*r - 1 = -4*w. Solve -12 = 3*l + 5*a, 0 = r*l + a - 4 + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1043, -2018, -2987, -3944, -4883, -5798?\n\"Answer: x**3 - 3*x**2 - 973*x - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4407 and -155\/312.\nAnswer: 35256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/9, -7\/6, 334.8 in decreasing order.\nAnswer: 334.8, 1\/9, -7\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425\/150 + 36\/8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkf when three letters picked without replacement from {f: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g - 33 = 0. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j = 51*j + 1330. Let u = 134 + j. Is u equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 64. Suppose n = 4*d - 37 - 67. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*u - 10 = 0, 40 = 3*g - 7*u + 3*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 12. Let j(d) = -6*d - 11. Let x(k) = -6*j(k) - 7*y(k). Suppose 0 = -3*m + 4*s + 24, 4*s + 12 = 74*m - 72*m. Calculate x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -73, -166, -303, -490, -733, -1038?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2690645*f**3*j**2 + 2141*f**2*j + 48*j**2 wrt f.\nAnswer: -16143870*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4159234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:51 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -71457, 0.2, -13, 4, -3?\nAnswer: -71457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159059\/787 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.1 + -23.9. What is the nearest to u in 4, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -5 (c) 8.7 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3312447 times -0.01\nAnswer: 33124.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-9)\/8))\/(2\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 1 - 1)*(8*k + k - 3*k).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 + 167. Suppose -5*z = -8*z + k. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 790 + -467. Let o be 3 - 9\/2 - c\/(-38). Solve -5*l + 4 = -o*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144267112 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**2 - 4*t - 3. Calculate n(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 6*o**2 - 3*o - 12. Let d be t(11). Let v = d + -1700. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -10. Suppose -j*l - 8 = -4*l. Solve -l*z - 25 = -9*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26694*g + 26674*g = -958280. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (5 + 3\/(-3)). Suppose -l*n = -5*r + 5, n + 4*n - 29 = -r. Suppose -r*h + 3*h = -226. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7.607, -20, 0.2, -2\/3, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let w be o*(-1 - (-7)\/10). Which is the smallest value? (a) -2 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p + 2*p + 36 + 2*p + 4 + 16 in the form r*p + y and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 4*h - 7. Let g(t) = -2*t**2 + 9*t + 14. Let q(k) = -9*b(k) - 4*g(k). Differentiate q(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1078) - sqrt(22)) + sqrt(110)\/(sqrt(5) - (sqrt(5) + sqrt(25)\/sqrt(5))))\/(((sqrt(100)*5 - sqrt(100))\/sqrt(10))\/sqrt(5)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 14 = i, -z - 291 + 262 = -4*i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + y - 1. Let f(c) = -5*c**3 - 10*c**2 + 6*c - 6. Suppose -5*d - 795 + 797 = -z, d - 3*z - 20 = 0. What is d*f(l) + 6*t(l)?\nAnswer: -l**3 + 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -598 + 4184\/7. Let m = 1 - 0.6. Which is the nearest to u? (a) 2 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021022020 + 12?\nAnswer: 1021022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**8\/1344 + y**7\/120 + 19*y**6\/480 + 5*y**5\/48 + y**4\/6 + y**3\/6 + 5*y**2. Let i(t) = 0. What is t?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -336 or 5.2?\nAnswer: -336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659*u - 656*u + 566 = -4*i, -3*i = 2*u + 426. Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 18. Let p = l - 9. Let z(f) = f**3 + 7*f**2 - 2. Let q be z(-7). Which is the third smallest value? (a) q (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160*x**2 - 1222914 + 213*x**2 + 1222909)*(-x**3 + 0*x**3 + 0*x**3).\nAnswer: -373*x**5 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*l**3 - 43 - 17*l**3 + 13*l**3 + 2*l**4 + 44 in the form j*l**2 + s + r*l**3 + p*l**4 + n*l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 8 + 8)*(2*j**3 + j**3 - j**3) + 0*j**4 - j**4 + 6*j**4 + 3*j**4 + 4*j**4 + 0*j**4 + (3*j**3 - 3*j**3 - 3*j**3)*(j + 2*j - 4*j).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32.6 * -0.14\nAnswer: 4.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4402 - 231 = 176*a - 581 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 1 = -b, -11 = -6*n + 9*n + 2*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1760777 (base 11) to base 7.\nAnswer: -34252324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996808 by 249202.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 744071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2811 + -208. What is the highest common divisor of f and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11458 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*n + 448, -4*n + 3*n + 127 = -5*x. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -2 - (-5 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106700\/(-2425))\/((-2)\/(-1)*-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a. Let k(j) = 11*j. Let y(u) = -5*u. Let n(m) = 6*k(m) + 13*y(m). Determine x(n(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 7*y - 6. Suppose 3*v - 4*w + 15 = 0, -9 - y = v - 3*w. Does 3 divide 10 - (v + -3 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2042*a**3 + 853*a + 858*a - 1712*a.\nAnswer: 2042*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 6*s**2 - 7*s - 16. Let o be c(-3). Suppose -5*q - o*f + 61950 = 0, 5*f + 44125 = 3*q + 6947. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1695\/(-325) + 5)*10\/(160\/(-104))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/468 and -71\/1092.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2290, -4309, -6944, -10195?\n\"Answer: -308*r**2 - 1095*r - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 3*s)*(-2*s**3 + 53*s**2 + 20*s**2 + s**3).\nAnswer: -s**4 + 73*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 2\/5 (c) -0.5 (d) -1\/6 (e) -9.1 (f) -4\/5 (g) 160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/7)\/(9\/(-96)*-8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*z = -95, -7*v - 190 = -5*v + 4*z. Let g = 100 + v. Solve 5 = g*b - 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6809658 + -75689348723\/11115. Calculate the common denominator of a and 58\/9.\nAnswer: 11115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x**2 + 5*x - 3. Let b be z(2). Suppose -4 - 17 = -b*o. Let p(t) = t**2 - t - 1. Let c be p(-2). Solve 4*u = -o*v + 4, u + u - 2 = c*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -147, -2\/7, -2, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {u: 1, s: 1, e: 7, g: 7}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5103 and 5\/531?\nAnswer: 301077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -704\/2415 + 2\/345. Let h = -13.9 - -12. Let i = h - -2. Is i at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49423 is divided by 5419.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 6. Let l be p(4). Let i = -70 - -72. Let k = i - l. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 890400 to the nearest 10000.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/36 and -21\/5?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwkyggqkgk. What is prob of sequence kk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**7\/105 - i**6\/20 + i**5\/10 - i**4\/12 - 2*i**2 - 4. Let q(w) be the second derivative of x(w). Let q(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/34157 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2319*a + 2110*a + 14368 = -173567 - 86663 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75128453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) - (1*sqrt(385) + sqrt(385) + sqrt(385))*5)\/((sqrt(88) + 2*sqrt(88) + sqrt(88))\/sqrt(8)))\/((sqrt(77)*1)\/sqrt(11) + sqrt(700)).\nAnswer: -7*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/137037 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(42\/(-27))*(-1470)\/(-945)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -185000 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2 + 7)*-1. Suppose b + 4*b = 0. Solve b = -z - 4*g - g - 29, -m = g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501350 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4 = 4*z - 32, 2*z - 12 = a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1137035 and 0.2?\nAnswer: 227407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21112120 (base 3) to base 5.\nAnswer: 133441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**3 - 807*m**2 - 26667*m - 72657 = 0.\nAnswer: -27, -3, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*f = 32, -i + f - 12 = -3*f. Suppose 0 = -i*h + 9 + 7. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let a(m) = -12*m. Calculate a(x) + 5*h(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -264, -495, -734, -987, -1260, -1559, -1890?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3012 + 3?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 99, -0.2, -3, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27905\/3492 + -25\/388. Suppose -69 = v + 8. Let i = -175\/2 - v. Calculate the common denominator of f and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/27)*s)\/(s*s**(-6\/17)*s))\/(((s*(s**(-29\/3)\/s)\/s)\/s)\/(s*s*s**(1\/56)*s)) assuming s is positive.\nAnswer: s**(359867\/25704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/11*i**2 + 0 + 10\/11*i**5 - 36\/11*i**4 + 24\/11*i**3 + 0*i.\nAnswer: 2*i**2*(i - 2)**2*(5*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (161\/(-28))\/((-1)\/24) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2636 + -14034. Let i = -8115 - b. Suppose 6*u + u - i = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 5*l**4 - 4*l**4 + l**4 + (9*l**4 - 4*l**4 + 3*l**4)*(4 - 1 - 1).\nAnswer: 18*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 3*n. Let z be ((-8)\/26)\/(-2) - 74\/(-26). Let x(u) = 4*u + u - 3*u + 5*u**2 - z*u**2. Calculate -2*h(f) + 3*x(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1415738761, 1415738759, 1415738757, 1415738755, 1415738753, 1415738751?\n\"Answer: -2*o + 1415738763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100100110 (base 2) in base 7?\nAnswer: -3562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -3\/7 (b) 10 (c) 26 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005761 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 117\/(-13))\/((-3)\/3). Are -11\/61 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80539 divided by -546?\nAnswer: -80539\/546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 140.1\nAnswer: -56.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 + 10*t - 12. Determine w(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 21695\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.01 (b) -975 (c) -1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*m - 1409, -366*m + 371*m = 2*k - 2788. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:10 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 72*b + 791. What is x(-12)?\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.31 (c) -26 (d) -51\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*m - 3*f - 27, -3*m - 4*f - 6 = 0. What is the remainder when m is divided by ((-5)\/(10\/(-4)))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2.5. Let d = 54 - 59. Which is the closest to d? (a) -0.3 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 515961 = -2*o + 3*w, 10 = 2*w. Suppose -o = 3*c + 3*y, 2*y = 2*c + 85791 + 86217. Round c to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4803 and 0.3.\nAnswer: -4802.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**0\/i*i*i))**(-37)\/(i**(-5)*i*i**(-3\/8)*i)*((i*i\/(i*i**(3\/8))*i)\/i)\/i**3*((i*i**(-1\/9))\/i)\/(i\/(i*i*i**(3\/2))*i) assuming i is positive.\nAnswer: i**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -6 + (-10 - (-10 - (3 + -3))) + 9?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/48 and -82\/21?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*v + 9*v - 560*v - 327*v = -1344 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p. Suppose 4*g = 1 + 11. Let m(j) = -3*j + g*j + 3*j. Give r(m(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 41. What is the lowest common multiple of 16 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765.5646l to millilitres.\nAnswer: 765564.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 47*g = 495 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba64b (base 16) to base 9.\nAnswer: -1383246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28752 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 10*x**2 - 8*x + 8*x**2 + 10. Let q be j(-6). Let h = -10 - q. Calculate the least common multiple of 3 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let l(x) = -x**3 - 5*x**2 - 6*x - 5. Let y be l(-3). Which is the closest to 0.1? (a) f (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38163, 38163, 38169, 38187, 38223, 38283, 38373?\nAnswer: 38499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 2. Let p(d) = 4*d + 7. Let c(w) = p(w) - u(w). What is c(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*b - 8 + 1, -5*n = -2*b - 4. Suppose -5*r - 3 = -2*r. Let l be 2 - 1 - (r - n). Solve -3*s + l = 5*t - 5*s, 3*t - s - 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22364, 22360, 22358, 22358, 22360, 22364, 22370?\n\"Answer: n**2 - 7*n + 22370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 + 48*z**2 + 67*z**2 + 77*z**2 - z - 79 - z as m + v*z + u*z**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1651, -4, 106, -6 in decreasing order.\nAnswer: 106, -4, -6, -1651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5445)*-2)**2 + 2 + 2*-2*sqrt(5445) + 4 + (1 + sqrt(5445) - sqrt(5445))**2 + (sqrt(5445) + (0 + sqrt(5445) + sqrt(5445))**2 + sqrt(5445))*-3 + -4.\nAnswer: -43557 - 330*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -574560 divided by -285?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 77517875.87 to the nearest one million.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 71620*q**2 - 256040960*q + 3082813440.\nAnswer: -5*(q - 12)*(q + 7168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*n - 7, 2*m = -n - n + 2. Suppose -4*x = m*q + 7 + 1, -q = 2*x + 5. Sort 4, x, 0 in decreasing order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2878 (base 9) to base 8\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*q**3 + 26*l**2*q**2 + 90*l**2 - 2*q wrt q?\nAnswer: 12*l**2*q + 52*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15023 (base 7) to base 14.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.013 + -43.987. Let v = 44.026 + t. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 0.4, 0.1, 1 in decreasing order.\nAnswer: 5, 1, 0.4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 2:49 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -3.8. Let u(r) = r**3 + 2*r**2 - 14*r + 12. Let w be u(2). Which is the nearest to m? (a) w (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4093285.\nAnswer: 5, 7, 107, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 3. Let n = -430 + 425. Determine d(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 21*d - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -164471000 to the nearest one million.\nAnswer: -164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w - 59*w = -3*t + 35, 0 = -5*t + 2*w + 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -31541000 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 + 120*u**3 - 700*u**2 + 960*u = 0 for u.\nAnswer: 0, 2, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -1. Let o = 3.7 + -0.7. Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**5\/60 + 5*b**4\/24 + b**3 - 3*b**2\/2 + 3. Let c(n) be the second derivative of i(n). Let p = 0 + -4. Give c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7.4. Suppose 5*a + 2*g = -0*a + 92, -a = g - 16. What is the closest to a in -3\/8, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10527 and 619054271?\nAnswer: 3509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(6)\/sqrt(2)*1 + -4 + sqrt(21)\/(sqrt(7) - sqrt(441)\/sqrt(7))))**2.\nAnswer: -4*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, h: 1}. What is prob of sequence hv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-24) + 2\/(-8). Suppose -21*u + 9*u + 4464 = 0. Is ((-1)\/i)\/(6\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/774 and -167\/30.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -32\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, 13, 46, 81, 118, 157, 198?\n\"Answer: v**2 + 28*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1699654.\nAnswer: 2, 11, 23, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5 = 5*q. Let p(l) = 3*l - 9. Let j(s) = -5*s + 18. Let g(z) = q*p(z) + 2*j(z). Is 18 a factor of g(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - -0.97. Which is the second biggest value? (a) 4 (b) -2\/7 (c) 2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1886263*s**3 + 3*s**2 + s - 24240 wrt s?\nAnswer: -11317578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -13*w**4\/2 + 2*w**3\/3 + 5*w**2\/2 + 7*w - 129. Does 10 divide u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5618 divided by 2633?\nAnswer: -5618\/2633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4328 + -0.4828. Which is the second biggest value? (a) 3\/7 (b) f (c) -143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 492*i**3 + 457*i**2?\nAnswer: 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10*2)\/(87\/(-46835)*17).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344712 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/7))\/((c\/((c\/(c\/c**8))\/c))\/c*c*c*c))\/(c**(-7)*c**(3\/5))*((c**(1\/4)\/c*c)**(-9))**28 assuming c is positive.\nAnswer: c**(-1811\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjddbbjjbrjbjrq. Give prob of picking 1 q and 2 d.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wffffwwfffw. What is prob of sequence wfwf?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-29)\/957*11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 13*q + 17. Let l be c(-12). Suppose 4*f = l*x - 31, -x - 8 = 3*x + 5*f. Suppose y + 122 = 2*d - 3*y, 259 = 4*d - x*y. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -3*s. Let p(r) = -12883*r**2 - 2 - r**3 + 2*r + 3 + 12885*r**2. What is p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-8)\/(-7)*2807\/26466)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.03 + -87.97. Let s = 94 + r. What is the closest to 3\/4 in s, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-189)\/42 - (0 + -5))*20. Suppose 0 = t*f - 3*f + 7. Are f and 2\/127 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-51)\/21 - 12\/(-21). Sort 0, 4, w.\nAnswer: 0, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102958 - 145423 = -59*q + 489768. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = n - 10 - 3, p + 33 = 5*n. Is 9 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 + 1321. Calculate the remainder when n is divided by 123.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243\/(-21) - 180\/420\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = -2199 + 1952 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 35*0.0007\nAnswer: 0.0245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.04 + 5.2. Let g = d + -0.16. Let l be 4\/6*(-12)\/8. What is the nearest to l in 1\/2, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let r = -1.4 - q. Let i = r + -0.6000005. Round i to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -8*k + 12. What is the second smallest value in -5, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {e: 5, s: 3, u: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -11939348 = -11939368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -25723 divided by 11\nAnswer: -25723\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2970422*t - 8645. Let u(v) = 5157*v - 15. Calculate -3*d(a) + 1729*u(a).\nAnswer: 5187*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w + 5. Let u be (14\/4 - -1)*28\/21. Let m(f) = 12*f - 70. Let a be m(u). Let n(t) = -11*t + 11. Give a*n(x) - 5*i(x).\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**2 - 35*l - 6. What is b(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 4315235*v - 4315235*v - 14*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.34 and 125?\nAnswer: -42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2\/17 (c) 1\/6 (d) -1 (e) 50\/27 (f) 121 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*a**2*k - 75*a**2 - 2*a*k - 127*k - 736 wrt a.\nAnswer: -32*a*k - 150*a - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 + 495*m**2 - 2*m**3 - 1947*m**2 - 8*m**4 - m**5 - 958*m**2 + 29*m**4 wrt m?\nAnswer: -180*m**2 + 504*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 197066988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30\/13? (a) 1 (b) -11 (c) 0.2 (d) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 + 100. Suppose 0 = -2*u - i + 13. Solve -5 = -3*k + u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 274311 + 17?\nAnswer: 274328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2453 <= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, n: 5}. What is prob of picking 2 t?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16614700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/4 and (1005\/430)\/((-9)\/(-3)).\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + -0.23. Let g = 5.1 + -5. Put w, -1\/2, g in increasing order.\nAnswer: -1\/2, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m - 19 = -154 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and 34\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 3 - 3)*(2*k**2 + 9 + k - k**2 - 6) to the form n*k**3 + c + m*k + d*k**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -343, -308, -271, -232?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 19*x - 2 - 1\/2*x**2. What is the tens digit of b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -11290.\nAnswer: 3\/11290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 1 + 1)*((2 + 1 - 4)*(-15 - 7*i**2 + 15) + 2*i - 2*i**2 - 2*i) as z + a*i**2 + u*i**3 + p*i and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311211.\nAnswer: 3, 151, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640*p = -637*p + s - 84473, 0 = -2*p - s + 56315. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-7\/4)*a\/((a\/(a*a**0\/a))\/a))\/(a\/(a**16*a))**(-22) assuming a is positive.\nAnswer: a**(-1407\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (4 + -12)) + -7 - 9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173\/2, 3, 5, -1\/3, -3, 0.3 in decreasing order.\nAnswer: 5, 3, 0.3, -1\/3, -3, -173\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 117*c**2 + 8*c + 16. Let i = 316 + -307. Is f(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4 or 411?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142966913*h**3 + 10569459*h**2.\nAnswer: 857801478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117.63 - 117. Let z = -0.13 + m. Which is the third biggest value? (a) z (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(14)\/(sqrt(343) - sqrt(7) - sqrt(7)))**2*4.\nAnswer: -16*sqrt(2)\/5 + 408\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q = -33*q - k + 3, 4*k - 16 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -3*v**2\/2 + 7*v - 3. Let h be k(10). Let p = -13 - h. Solve -3*m - 2*m - p = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42272, -169011, -380220, -675899, -1056048?\nAnswer: -1520667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4 + -1a1c?\nAnswer: -1b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 11*f - 14. What is n(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10179 times 0.025\nAnswer: 254.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(19) + 3)*-1 - ((sqrt(1216) - (sqrt(1216) - (sqrt(1216) + sqrt(1216) + 4))) + -3)).\nAnswer: 24 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 6*s - 3. Let n(l) = -l**2 + 5*l + 1. Let y be n(3). Let x(i) = -3*i + 16. Let p be x(y). Give j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2232 and 0.2?\nAnswer: 446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 7*m + 3. Let a be f(-5). Let w be (-4)\/16 - a\/(-8). Solve w*y + 3*q = -7, -y = -3*q + 4 + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16165\/20524 - -22\/2199. Let f = -478 - -6731\/14. Find the common denominator of f and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 42*h - 150, -5*v + 177*h - 181*h + 52 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(6\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 196, 0, 2, 5, 1645 in descending order.\nAnswer: 1645, 196, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -2*k**3\/3 + k. Let s(l) be the second derivative of 0*l**2 - 1\/6*l**4 + l + 0*l**3 + 0. Calculate f(s(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 107579871.\nAnswer: -4\/107579871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 15*r**2 - 21*r + 15. Let l be m(13). Calculate the highest common factor of 32 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 - 4*k**3 + 2*k**3)*(-3 + 4 + 2)*(3 - 1 + 1).\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 13442\/75153*4\/((-264)\/(-18))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1539*n - 28. List the prime factors of l(-1).\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.63761735 and 163216.\nAnswer: 163219.63761735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ba716 (base 16) to base 2\nAnswer: 10111010011100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 28611429?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -170, 3, 1, -913 in increasing order.\nAnswer: -913, -170, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -138582 + -1?\nAnswer: -138583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -0.176, -0.5, -94, -5, 2\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 21. Which is smaller: w or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 16 = 3*r + 2*s, -5*r - s = 4. Solve 23 = -5*p + 3*h, r = h + 1 - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(-3\/5))\/f)\/f)\/(f**9*f))**(-14)*((f*f\/((f*f*f**(2\/3)*f)\/f))\/(f\/f**(1\/5)))**(-8) assuming f is positive.\nAnswer: f**(2612\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3 + 6 + 2 - 8 - 4*j. Let h(y) = -6*y + 5. Suppose 4*n + 12 - 44 = 0. What is n*l(q) - 5*h(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14570125 and 1.12?\nAnswer: 14570126.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*d - 9, 0*x + 4*x - 4*d = 16. Let h(p) = 2*p - 7. Let y be h(x). Let a(s) = 2*s**3 - 2*s**2 + s + 3. Is a(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(396) + -1.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*((sqrt(128) - (-1 + (sqrt(128) - sqrt(128)*-4)) - sqrt(128)) + (-1 + sqrt(128))*3))**2 + 5.\nAnswer: 1024*sqrt(2) + 8261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 185*g + 704. Let l(p) = 7*p + 4. Give l(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56960070 is divided by 28480027.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -13. What is the remainder when 22 is divided by (-64)\/(-10) + 6\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225*d - 105 with respect to d.\nAnswer: -225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 21 = 4*g, -27 = -6*g + 3*g - 3*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -2*d**6\/15 - 11*d**4\/12 - d**3\/3 + 6*d**2 - d - 29. Find the second derivative of r(g) wrt g.\nAnswer: -48*g**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/9 + 768476*f**2 + 9221664*f + 27664944.\nAnswer: 4*(f + 6)**2*(f + 1729059)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*15\/10 - 45\/(-10). Suppose -10 = -q + i - 20, 2*i - 27 = a*q. Which is bigger: q or -16?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {a: 1, t: 2, z: 2, i: 2, k: 1, s: 11}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42280*z = 8353*z + 1153518 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 4. Let m be f(10). Let g = 27 - m. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 2*n - 16. Let q be c(-6). Let r be q + (3 - 1) + 0. Let t = r + -5. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 9284 = -2948. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 14) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 g, and 2 b when four letters picked without replacement from gaaazaabzazabazgagg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-32.4\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*a - 31 = 5*a, -2*a = -5*l - 34. Let o be 1 - 3 - l\/(-4). What are the prime factors of (8\/6)\/(o\/(-30))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0774673085 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-36)\/8)\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 708\nAnswer: -1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = 35*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 878435 and 55.\nAnswer: 9662785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/12)\/(3\/8). List the prime factors of ((-18)\/30)\/((-1)\/25) - h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqssyffcy. What is prob of sequence fss?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 628\/7. Put -0.3, -1, l in decreasing order.\nAnswer: l, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181494461 + 202*m - 181494461.\nAnswer: 202*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-811 + 344 + 313)*(w - w + w**2)*(5 - 5 + 12*w**2) to the form i + x*w**4 + p*w**3 + l*w**2 + j*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9547*a - 372 = 10*l - 9544*a, -3*l = -4*a + 92 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -19 + -20 + 20 - (2 + -20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-9)\/(-12)*4. Let s = m - -14. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38825 and 37.\nAnswer: 1436525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - 2) - (-107 - -98)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + -1 + (sqrt(1100) + sqrt(1100) + -2)**2)*-2.\nAnswer: -8806 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwwn. What is prob of picking 1 n, 1 w, and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18590, -18567, -18532, -18485, -18426, -18355, -18272?\nAnswer: -18177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1158 + -5782\/5. Factor o*p**2 + 2\/5*p**3 + 2*p + 4\/5.\nAnswer: 2*(p + 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**6\/36 - q**5\/30 - q**4\/8 + q**3\/18 + q**2\/6 - 65. Factor c(r).\nAnswer: r*(r - 2)*(r - 1)*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-170)*1*-5.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -646, -650, -654, -658, -662?\n\"Answer: -4*q - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/10 of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/4 of a kilogram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 508, 379, 122, -299, -920, -1777?\n\"Answer: -6*r**3 - 28*r**2 - 3*r + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 14 - (0 + 5 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuiuiiuiuuuuuuuiuu. What is prob of sequence ui?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/302048 and -99\/1126.\nAnswer: 170053024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5 = 11. Let o = 10 + -17. Let c = o - -11. Put k, c, -4, -3 in ascending order.\nAnswer: -4, -3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1264, -5012, -11250, -19978, -31196, -44904, -61102?\nAnswer: -79790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*h**2)*(-12 + 12 - 17*h)*(h**2 + 5*h**2 - 2*h**2) + 6*h**5 - 4*h**5 + 0*h**5.\nAnswer: -134*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3857\/(-399)*12\/(-116).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**2 + 3*r - 4*r**3 - 3*r.\nAnswer: -4*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 69*o - 921. What is l(51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -180*o + 8101. Give k(45).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**3*x + 36007*u**2*x**3 + 6640*x**3 - 6*x - 2 with respect to u.\nAnswer: -6*u**2*x + 72014*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 4*t + 3. Let m be g(-4). Differentiate 5 - 7*u**m - 2 + u**3 with respect to u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -514 and -4965.\nAnswer: -5479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -2763, -5915, -10705, -17679, -27383?\nAnswer: -40363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + g. Let c be f(1). Let i = -172\/3 + 1385\/24. What is the second smallest value in -0.1, i, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by (-6)\/9 + (-1476)\/(-27) - 1.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18799 and 320160642.\nAnswer: 3521767062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**5\/20 + q**4\/6 + q**3\/2 + 3*q**2\/2 - 17*q. What is j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42037 in -2, 20, 0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91 + 52*r + 144*r + 2*r with respect to r.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-476)\/85)*-1*(-3)\/10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 568360, 568649, 568938, 569227, 569516?\n\"Answer: 289*s + 568071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -173044\/5 greater than -34609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n - 1. Let p(s) = -10*s**2 - 7*s - 4. Let x(w) = -40*w**2 - 29*w - 15. Let g(c) = -9*p(c) + 2*x(c). Calculate g(v) + 6*t(v).\nAnswer: 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48 + 47)\/((-1)\/2). Solve t*b - 6*b = 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 387938.61 seconds?\nAnswer: 107.760725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p + 3. Let g be n(-2). Let b = g + 29. Calculate the highest common divisor of 50 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 + 17*a**4\/12 - a**3\/6 + 4*a**2 + 1237*a. Determine y(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-4)*116\/290.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 98346710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + 2*p + 1. Let g(h) = 4*h - 3 + 5*h - 2*h**2 - 5 + 3*h**2. Let w be g(-10). Calculate the remainder when n(w) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 131220927\nAnswer: 131220927.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/(-7) - (-6)\/21. Calculate the common denominator of -2 + j\/(6\/(-49)) and 206\/36*-1*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -320 and -1.8532.\nAnswer: 593.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 2:40 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s. Let u(b) be the first derivative of -b**6\/72 + 7*b**3\/3 - 8. Let y(g) be the third derivative of u(g). Determine f(y(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 770836?\nAnswer: -2312508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 95137.\nAnswer: -2\/95137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 10\/13*k**3 + 2\/13*k**4 - 10\/13*k + 0 - 2\/13*k**2 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977444736 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05138 - -3.58838. Let u = 15.487 + h. Let a = u + -19. Round a to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43433527\/6420 - -20296\/3. Find the common denominator of 87\/856 and p.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 371+-10772042199\nAnswer: -10772041828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:13 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13708934401 take away 82?\nAnswer: 13708934319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1) - 7 - 0. Let i(z) = z**2 - 2*z - 3. Let l be i(k). Solve 0 = 3*b - 5*t + 15 - 2, -5*t + l = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let j = 12 - 11. Which is the closest to j? (a) -3 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 3\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -16. Let b = -2 - u. Suppose -2*m + 2*f = -f - 25, -3*m = -2*f - 25. What is the smallest common multiple of m and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 * 5.6\nAnswer: -1920.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 + 41*q**3 + 4 - 4.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32906, 32908, 32910, 32912?\nAnswer: 32914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (437*m + 217*m - 121*m)*(6 - 2 - 5)*(-1 + 1 + 7).\nAnswer: -3731*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.448*0.5\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10)**46 assuming a is positive.\nAnswer: a**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 1 (c) 3 (d) 0.57 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a - 42*a. Solve 0 = -a*s + s + 4*p + 4, -4*s - 5 = 5*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330677990 divided by -2810?\nAnswer: 117679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78*17\/(-1547)*((-135)\/156 + 1)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3808 = 379*t - 710*t + 219*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11113 - -10359. Is 1 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.026 - 0.456. Let f = c - -0.33. Put -2\/17, f, 2 in decreasing order.\nAnswer: 2, f, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2c2?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -39\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5447540*r**5 - r**3 - 27307550*r**2 wrt r.\nAnswer: 326852400*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125287317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w - 7. Let t(q) = -2*q + 6. Let p(b) = 3*a(b) + 2*t(b). Let o be p(6). Differentiate -4*h**o + 3 - 2 - 3 + 0 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -51949?\nAnswer: -72\/51949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*q + 1 - 3362*q**4 + 2*q + 2*q**3 + 3350*q**4 + 2*q**2 as m*q + h*q**4 + b*q**2 + j + s*q**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (43 + -47)\/(46562\/(-15518) - -3)?\nAnswer: 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 13 = 3*k, -10 = k + 4*k + 5*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w + 6. Let p(g) be the second derivative of -1\/6*g**3 + 0 + 3*g + 0*g**2. Let q(x) = c(x) - 2*p(x). What is the derivative of q(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 10*i - 6*i. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9627 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 6*z + 2*z)*(5 + 18 - 6).\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 28496 = -28686 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*s - 2, 4*k + 3 = -7*s + 46 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -344\/117?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2800813 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 8*f**2 + 5*f + 13. What is the units digit of r(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 3*a**5\/40 - 11*a**4\/4 + 121*a**3\/4 + 719*a. Factor q(y).\nAnswer: 3*y*(y - 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 != 0.031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2490 = -190*p + 187*p. Let w be (-9)\/(315\/p) + (-4)\/(-14). What is the highest common factor of 18 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - 2) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/8))\/k*k**(2\/63)\/k assuming k is positive.\nAnswer: k**(-299\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121202120 (base 3) to base 5.\nAnswer: -342334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + 105\/(-140). Let y = -0.08 - 13.67. Let k = 0.25 - y. Which is the biggest value? (a) 2 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let u(r) be the second derivative of r**4\/12 + 2*r**3\/3 - r**2\/2 + r. Let g(v) = v**2 + 5*v - 2. What is x*g(k) + 3*u(k)?\nAnswer: k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*c + 55*c + 36. Solve c*f - 422 + 416 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1205 (base 6) to base 7\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6138 + -6037. What is the remainder when o is divided by -3 - 18\/(-3 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-115)\/(-10) + -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 58.74+14\nAnswer: 72.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007551 is divided by 122?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56421402 or 56421405?\nAnswer: 56421405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u = -12*u + 168 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6*t - t = 1289, -3*t - 1249 = -4*l. Suppose 4*m - 384 = l. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 115026*y - 2069820 = 0.\nAnswer: 18, 57495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r + 0*r)*(2*r**2 + 0*r**2 + 6*r**2)*(2*r - 5*r + 2*r).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 238848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 + -63 + 98 + 52?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/24*(14 - (-325)\/(-26)). Let d(z) be the second derivative of 0*z**3 + 0*z**2 + 0 + 13*z - k*z**4. Let j(b) = -6*b**2. Calculate d(j(x)).\nAnswer: -108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(sqrt(102) + (sqrt(102) - (sqrt(102) + 5*sqrt(102)*1)) - sqrt(102))\/(sqrt(6) + 4*sqrt(54))*2.\nAnswer: 180*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31123 (base 5) to base 2\nAnswer: 11111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z. Let q be l(5). Let t = q - 20. Solve -j + 20 = -t*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 1. Suppose 3*i - 4 + 16 = 0. Let v = i - -6. Determine g(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 34*p**2 + p + 11. Let y be q(-22). List the prime factors of y\/44*(0\/(-3) + 4).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 4488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14914721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 396394, 792801, 1189224, 1585669, 1982142?\n\"Answer: r**3 + 2*r**2 + 396394*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.4223 times -5.87\nAnswer: 14.218901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 - 20*x**2 - 24*x - 20. Let b(z) = -z**3 + 10*z**2 + 12*z + 10. Let p(i) = 5*b(i) + 2*u(i). List the prime factors of p(11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3386272.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3 - 2*r**2 + 8*r - 4*r**2 + 5*r**2. Calculate v(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 5 - 59. Let r(q) = 5*q + 35. Let w be r(l). Which is smaller: -6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:20 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b*g*u**2 + 46*b*g - b + 2169*g*s*u**2 + 28*g*s*u + 4*g*s + 2*s*u wrt u?\nAnswer: 14*b*g + 4338*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 22 + 95 = -4*g, g - 20 = -p. Suppose 0*s = 2*s + 4*f + 8, -s + p = -5*f. Suppose k - 2*i = s*k, -i = 5*k - 18. Solve 3*r - k = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 72997.\nAnswer: 1\/72997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, w: 2, v: 1, f: 3, a: 1, e: 1}. Give prob of picking 2 w and 2 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -7, 2, -1.\nAnswer: -7, -1, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-4))\/y**8 assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/4)\/((-2)\/8). Let l(j) = -j**2 - 4*j + 1. Let b be l(-5). Let u = b - v. Is u smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*n + 231. Let d = n + -53. What is the highest common divisor of 55 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(160)\/(sqrt(8)*1) + sqrt(20)) - (sqrt(160)*1)\/sqrt(8))\/(sqrt(28)\/(-3*(sqrt(7) - sqrt(7)*2) - sqrt(7))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 7*q**2 + 6*q + 3. Let p be z(-6). Suppose -m + 0 = -p. Let g be m\/6 - 2\/4. Which is the closest to g? (a) 5 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 232*y**4 + 244*y**3 + 90480*y**2 + 608400*y.\nAnswer: 4*y*(y - 39)**2*(y + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 15, -3, 116 in increasing order.\nAnswer: -3, 1, 6, 15, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 31. Calculate the smallest common multiple of u(-13) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3290*i - 40989. Determine g(-13).\nAnswer: 1781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 6*c - 6. Calculate g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -722 divided by -38548\nAnswer: 361\/19274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 24. Give v(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210120 + 112301020?\nAnswer: 112030300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Let d be h(5). Which is the closest to -0.05? (a) d (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 4*g - 18, -4*c + 3*g + 24 = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (280\/420)\/(11\/(-6))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-78)\/52)\/((-21)\/8). Let n = -4 + 3.2. Let d = 0.2 - n. Is p greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34632 and 1048?\nAnswer: 4536792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g = -3*y + 2, -2 = -y + 2*g. Let x = -22 - -36. Let b = x - y. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4974 - 94*w**5 + 4974 + (-2*w**4 + 3*w**4 + w**4)*(0*w + w + w) - 3*w**5 + 2*w**5 + 2*w**5.\nAnswer: -89*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (30\/(-1) - -1). Suppose 0 = o - 25 - 25. Let c = o - t. Solve -2*a + c = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0925 + -0.0265. Round k to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.45 - -0.55. Which is the closest to -8? (a) -0.2 (b) 3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3839 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 7. Let f be d(-2). Let a(k) = 60*k**2 - 8*k - 2. Is a(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s. Let b = -63 + 65. Solve 5*m + 23 + b = s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-373 + 373 + 38*g + (1 - 1 + 1)*(71 - 71 - 2*g) + 0*g - 2*g + g)*(3*g - 2*g + 0*g).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -216*d. Let n(t) = 17*t. Determine i(n(f)).\nAnswer: -3672*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -19 (c) -10.91 (d) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*m = -648*m + 52346 - 225651 for m.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 + 6*c - 11. Let z(b) = b**2 - b. Let w(s) = -l(s) - 5*z(s). Give w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6.7. Let j = 2338 + -16370\/7. What is the third biggest value in j, -2\/15, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4929331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -8776739256.\nAnswer: -8776739255.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 + c - 63. Let y be d(0). Let p be (-6)\/(-12) - y\/2. Suppose 0 = -2*x + w + p, -2*x + 4*w + 21 + 5 = 0. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6364 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 658319.6m?\nAnswer: 65831960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 492\/101 (b) -0.02 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 11805 - 705 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 16, -0.3, 9, 4, -23?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, v: 14}. Give prob of picking 2 b.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 455309228 and 88?\nAnswer: 910618456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 93 times 0.028\nAnswer: 2.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u*u)\/u**(-3\/2)*(u**(-4\/13)*u)\/u**(-2\/13) assuming u is positive.\nAnswer: u**(139\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78877059 and 4743?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/19)\/(v**(6\/19)*v)*(v*v*v**(1\/2)*v)**(-38) assuming v is positive.\nAnswer: v**(-2554\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008916 rounded to 6 dps?\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - x + 2*x**2 - 7*x**3 - 10*x**2 - 11*x**2 - 7*x + 0*x**2 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.5865 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3674716 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -23, -4794.3?\nAnswer: -4794.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by 887.\nAnswer: 41\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7 + m + 7. Let x(w) = w + 49. Calculate u(x(q)).\nAnswer: q + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - k - 100 = -0*n - 5*n, -113*n + 21*k - 116 = 23*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971*x**2 - 245*x**2 - 246*x**2 - 243*x**2 - 240*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/16 and 115\/3776622.\nAnswer: 30212976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*1*5 + -5*1*sqrt(84))\/(-4*sqrt(363)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m - 4. Let u(z) = 5*z + 7. Let x(g) = -1. Let c(d) = u(d) + x(d). Give -5*c(j) - 8*q(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = c - 5*z, -z - 5 = -2. Suppose -4*a + 14 = -2. Let q = c + a. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1935, 4431, 6915, 9381, 11823, 14235, 16611, 18945?\nAnswer: 21231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, a: 7}. What is prob of picking 1 i and 3 a?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14795.4 + 14781. Which is bigger: h or -104?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 54?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/21)\/l)\/l)\/l)\/l**12 assuming l is positive.\nAnswer: l**(-295\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.57 - -0.5699959. What is i rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/69648 in -0.2, 0, -3\/2, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6232, 3 in decreasing order.\nAnswer: 6232, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184*d + 1 - 3 = 1183*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - d - 1. Let j(s) = -5*s**3 - 15*s**2 + 10*s - 5. Let b = 18 - 13. Let h(q) = b*m(q) - j(q). Factor h(g).\nAnswer: 5*g*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 206, 356, 546, 764, 998, 1236?\nAnswer: 1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 266745 divided by -9\nAnswer: -88915\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.7, -110?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2167812, 2167813, 2167814?\n\"Answer: h + 2167811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164 and 124908.\nAnswer: 5121228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9074103?\nAnswer: 3, 31, 97571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)\/(3\/(-252)). Let j be (-66)\/g + 1\/(-2). Factor j*u + 2\/7*u**2 + 0.\nAnswer: 2*u*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 800027158.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -16. Suppose -j*f + 5*p = -131 - 204, 263 = 4*f - 5*p. Calculate the highest common factor of 180 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 7. Let l be v(-11). Let g be 128*-1 - (l + 3). Is (g\/5)\/(3\/(-15)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 3 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttrd when four letters picked without replacement from vztdtra.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -85. Solve h*u = 4*v, 5*v = -5*u + 4*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -90109\nAnswer: -4\/90109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-282) + (-136160)\/(-19824600)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2527)\/(-2166)*495\/(-77)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -297299 (base 11) to base 3\nAnswer: -212112212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:45 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - ((1 - 4) + 17)) + (3 - 22 - -25).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 60, 75, 90, 105?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000431696 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**4 + 30*c**3 + 7*c**2 - 120*c + 78. Let w(x) = -15*x**4 - 60*x**3 - 15*x**2 + 240*x - 155. Let h(f) = -5*q(f) - 2*w(f). Factor h(k).\nAnswer: -5*(k - 1)**2*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13*m. Let h(d) = 13*d**2 - 6*d**2 - 5*d**2 - 5*d**2. What is h(x(k))?\nAnswer: -507*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2261 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001111110 - 110111010101?\nAnswer: -101111001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.006 - -9.094. Let x = y + -9. Let k be (-2 - -3)*2\/6. What is the nearest to x in 1, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3 - 11358*v**2 + 1899045*v - 77708484 = 0. Calculate v.\nAnswer: -3948, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30408874*y**2 + 54*y - 516451.\nAnswer: 60817748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2. Let c(k) = k**2. Let w(g) = -6*g**2. Let s(m) = -11*c(m) - 2*w(m). Calculate s(x(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*y + 111*y = 198*y + 188 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 2*p - 6, 3*z - 17 = -5*p. Let u be (p + -3)\/((-1)\/(-13)). Suppose -o = -11 - u. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 184260*i - 184265*i - 12349*i**2 + 7 - 2*i**2 + i**2 + 0*i**2 + (1 - 1 + 2*i)*(-i + i - 2*i).\nAnswer: -12354*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 12*x**2 - 10*x + 43. Let w be v(-13). Solve 24*o = 22*o + w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3229352 centimeters to millimeters.\nAnswer: 3.229352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2133, -4271, -6409, -8547?\n\"Answer: -2138*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) 3\/2 (c) -0.07 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127\/133 + -10\/19. Which is the nearest to -4? (a) u (b) 2\/17 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50765786?\nAnswer: 2, 31, 61, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/31293 and 97\/1835856.\nAnswer: 5507568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjje when four letters picked without replacement from {j: 5, e: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 2 - (-1 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641701*n**3 - 5*n**2 + 5*n**2 + 641702*n**3 + 8 - 8.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18778 and 113\/37098?\nAnswer: 1521018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128*a**2 + 201*a**2 + 242*a**2)*(2*a**2 - 2*a**2 + 2*a**2) to the form q*a**3 + k*a**4 + w*a**2 + h + i*a and give k.\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 8*q**2 - 7*q - 19. Calculate the remainder when o(-8) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m*r**3*y - 20037*m*r**3 + 64*m*r - 15*m*y - 758*r**3 + 3*r**2*y + r**2 + 2*r*y - 71*y wrt r.\nAnswer: 24*m*y - 120222*m - 4548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -2 - (116 + -130).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148003, -296008, -444023, -592054, -740107, -888188, -1036303, -1184458?\nAnswer: -1332659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125797 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.06 (b) 3\/5 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 56, -2, -19, -4, 0 in descending order.\nAnswer: 56, 0, -2, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044198 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41259 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*p + 5*p - 4*t, 2 = 2*p - 2*t. Suppose -2*q = p*q - b - 95, 2*b - 63 = -3*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n - 68 = 0. Let p = n + 13. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 49 + 27 - o**3 + 2*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 - 1.2. Let t = 2 - k. Let w = 31128 - 31130. What is the closest to 0.1 in -0.4, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 240134*m**2. Let r(i) = -45*i**2. Give r(b(h)).\nAnswer: -2594895208020*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 24392?\nAnswer: 24395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 5. Let p be m(-5). Let s be p - -1 - (-14)\/(-18). Factor 8\/9 + s*j**2 - 8\/9*j.\nAnswer: 2*(j - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 895 and 40?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, -5, 24, -2\/121 in descending order.\nAnswer: 24, 2, -2\/121, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.063? (a) 5 (b) -3\/7 (c) -0.5 (d) 4 (e) 2\/63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svsevvvgeii. Give prob of sequence vig.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -30.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -0.5, 0.1, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38.96 + 0.4.\nAnswer: 39.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 2*u - 4. Let p be r(4). Let i(q) = 2 - p*q - 1 + 11*q + 17*q. Determine i(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 0*k - 2\/3*k**3 + 0*k**2 + 2. Let d(a) = 0*a**2 - 5*a**2 + 3*a**2. Give d(x(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966 and 427.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 27. Let t be v(9). Let l be 120\/t*6\/(-8). Let b = -12 + 12. Put b, 5\/6, l in decreasing order.\nAnswer: l, 5\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-3 - -4)) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(28)\/sqrt(4))*6.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -23.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9) - ((-119)\/2499)\/(6\/134)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 3*x + 1. Let q be p(2). Let c(j) = j**2 + 2*j - 5. What is the units digit of c(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -1. Let v = 0.2192 + -0.0192. Which is the fourth smallest value? (a) 4 (b) v (c) j (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/29116 and 79\/680282?\nAnswer: 341501564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 128573 to the power of 1\/2, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*t, -5*o = 29*t - 25*t. Which is the closest to 1\/46? (a) 4 (b) -0.1 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6197?\nAnswer: 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 5*z + 2. Let a be t(6). Let d be -4 + (-47 - -2 - -3). Let s = d + 66. Calculate the highest common divisor of a and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576712715.\nAnswer: 5, 127, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 9*d**2 - 6. Let q be v(9). Let o be ((-2)\/q)\/(2\/12). Suppose -o*x = -7*x - 10. Put 1, x, -5 in decreasing order.\nAnswer: 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f = -5*h + 3325, 4*f = -8*h + 2688. Calculate the greatest common factor of 846 and f.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21826717, -21826721, -21826731, -21826747?\nAnswer: -21826769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 2. Suppose 0 = 2*g - 2 + 6, 28 = 4*o - 4*g. What are the prime factors of f(o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -23 - (4 + -1)) + 126 - (-29 - -13)\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47588866 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + 7. Suppose 26*t - 109 - 1269 = 0. What is the remainder when t is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 89 = -2*o + 73, 3*l + 3*o - 48 = 0. What is the highest common divisor of l and 7624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 + 154747?\nAnswer: 154709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1425362, -2850756, -4276156, -5701562, -7126974, -8552392?\nAnswer: -9977816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3 - 5*i + 1 - 9*i**2 + 3*i**2 - i**3. Suppose -v - 4*m = 4, -2*m - 1 = -2*v - 49. Let p be v\/(-16)*(-6 + 2). Calculate y(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/2, -0.02, -2, -5.\nAnswer: -5, -2, -1\/2, -0.02, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z = 50*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*(j*j\/j**0)\/j*j\/(j\/j**1)*j**5)**(-28) assuming j is positive.\nAnswer: j**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) - (-3)\/(60\/13).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4409*h - 3203*h + 7514 = 9994*h - 177034 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2910*z = 2960*z + 50. Which is the nearest to -5? (a) z (b) -0.02 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 70 = -x, -3*z + x + 3*x = -65. Suppose -2*i = -i - 3, -4*j - i + z = 0. Suppose -33 = 2*w - j*w. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 less than 68570030185?\nAnswer: 68570029918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1072\/5 + -15333\/70. Let y = -7279\/744 + -55\/93. What is the common denominator of y and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + l**2 + (-2 + 3 + 2)*(0*l**2 - 3*l**2 + 2*l**2) + (-l + l - 4*l)*(-4*l - l + 4*l) as k*l + r*l**2 + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, q: 4}. Give prob of picking 4 q.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 2\/15, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(52) + (sqrt(52) - sqrt(156)\/sqrt(3))))\/(2*sqrt(324)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 5*c - 24 = -11*r, -4*r + 2*c = -18. Solve 3*t - 5 = 8*t - 3*k, 5*k - 3 = r*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 236*b + 1. Let t(k) = 4*k**2. What is w(t(r))?\nAnswer: 944*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130898, -523712, -1178404, -2094968, -3273398?\nAnswer: -4713688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*i + 388*i + 164*i.\nAnswer: 951*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 29 - 73*u + 9*u - 11 - 6.\nAnswer: -64*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -179?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-449971\nAnswer: 224985.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50315*v - 25154*v - 25150*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 545767711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114055044 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3*sqrt(5))**2 - sqrt(5)) + -2.\nAnswer: -sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 74. Let o = -9 + 14. Let u be 4\/(-10) - x\/o. Solve -v + 2*g + u = g, -3*v = g + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m. Let u(l) = -6881*l - 4. What is x(u(p))?\nAnswer: -13762*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 77435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*p - 6, 5*p + 0 = 5*i - 10. What is the third derivative of -o**4 + 3*o**2 + 2*o**2 - 4*o**i wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*l - 147 = 0, 7*w = 20*l - 21*l - 59 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104627*c**3 + 2*c**2 + 13374770*c.\nAnswer: -627762*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15406 = 781*v - 214. Solve -123*u = -119*u + v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*d + 14, 4*p + 4668*d + 4668*d - 28 = 9333*d for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b - 8210 = -53*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -17003\nAnswer: -5100.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 50*z**2 - 38*z**2 - z**2 + 2*z**2 + 70.\nAnswer: -87*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(2\/9))\/h)\/h**5*h**(-8)*h**(-8)\/h assuming h is positive.\nAnswer: h**(-178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**3\/21 + 104544*i**2\/7 + 104542*i\/7 + 78406\/21.\nAnswer: 2*(i + 39203)*(2*i + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 9. Let s(d) = d**2 - 3*d + 2. Let w be s(4). Let f be b(w). Sort 5, f, -4 in increasing order.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 14*o + 12 + 58*o. Let t = -217 - -213. Let k be n(t). What is k rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*c - 66 + 6, 0 = -2*c - 4*h - 12. Let a be (c\/2)\/(1 + 0). Let i = a + 5. Solve i = -3*g - 1 - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (196 + -205 + (5 - 1)) - 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.15 + -2.15. Let k be (-13)\/15 + (-4)\/(-6). Which is the second biggest value? (a) p (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 11*y**3\/6 - 243*y. Let m(b) = 24*b**2. What is m(f(k))?\nAnswer: 2904*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwqwqww. Give prob of picking 4 w.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141515916.\nAnswer: 2, 3, 11792993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -483 - 8*s**2 + 1001 + 3*s - s - 4*s - 509. Let z(a) = 1. Give -m(j) + 5*z(j).\nAnswer: 8*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*q + 120 + 38*q - q**3 + 33*q + 8*q**2 + 41*q - 150*q in the form j*q**3 + o*q + s*q**2 + k and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16815.\nAnswer: 3, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**4 - 8*u**4 + 20*u**4 + u**4 + 2*u**2 - 2*u**2 + (-2*u**4 + u**4 + 0*u**4)*(-1 - 2 + 1) as i*u**2 + z + x*u**3 + p*u**4 + t*u and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 45 (b) 0.3 (c) -0.04 (d) -141.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*v + 2074, m - 565 = 4*v - 64. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -46*y - 2165. Let o be d(-52). Solve 0 = 236*i - o*i - 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnnnnnnnrrnn. Give prob of picking 2 r.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 115 = -3*k + 5*q, q - 3*q = 34*k + 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 3*d. Calculate the lowest common multiple of ((-22)\/(-6) - 1)*(-27)\/(-6) and w(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:54 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -17588.9 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -702 minus -37211.7?\nAnswer: 36509.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 y, and 1 x when four letters picked without replacement from aaaxaayliyiaalixiax?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, i: 2, q: 4}. Give prob of sequence oiiq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 + 7*a + 14*a + a**3 + 654*a**2 - 10*a - 4*a wrt a.\nAnswer: 6*a + 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 258, 506, 754, 1002?\n\"Answer: 248*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 11*n - 9. Let g be p(-12). Let w(u) = u + 2. Calculate the remainder when -2 - (-5 - g - -2) is divided by w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126.106 - 126. Let c = -0.61 + g. Let r = -0.07 + c. What is r rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119913649?\nAnswer: 4919, 227671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -6. Let p be -5 - -4 - (-7)\/m. Let x = -278 + 3060\/11. Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d + 140 = 0. Let o = d + -19. Suppose -n - 3 = -19. What is the highest common divisor of o and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/9)*f*f*f**(3\/7)*f**(-15)\/(f**16\/f*f) assuming f is positive.\nAnswer: f**(-1814\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 7752023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -966*-0.65.\nAnswer: 627.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugsysu. Give prob of sequence ygu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2432761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -142 - 162. Let r = x + 359. Calculate the remainder when r is divided by 284\/14 + (-2)\/7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -24.6. Let c = l + 8. Let z = -0.7 - c. What is z rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/7, -4\/117, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136958 - 136955. Find z, given that 0 + 1\/8*z**4 - 5\/8*z**2 + 1\/8*z**i + 3\/8*z = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - ((-23 - -36) + 4)) + 0 + -2 + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - z = -23, 211*z = 2*n + 216*z - 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q*q**5*q)*q)\/(q\/(q\/(((q*q**(1\/3))\/q)\/q))))**14)**(-17) assuming q is positive.\nAnswer: q**(2380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/9 - -67\/63. Let o = 85.4 - 81. Let r = o + 7.6. What is the smallest value in n, r, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 34\/15?\nAnswer: 34\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2448718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 658380 to the power of 1\/2, to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 13\/6 (b) 82 (c) -2\/55 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**3 - p**2 - p - 1. Is o(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272.1 + -272. What is the nearest to y in -0.01, 0, 0.3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 20 = -3*i. Let o be i\/(-6) - 5\/(-3). Let t(r) = r + 4. Let n be t(-2). Sort n, 0.1, o.\nAnswer: 0.1, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 5. Let p(m) = 5. Let y(d) = -d + 6. Let i(b) = -3*p(b) + 2*y(b). Give 11*i(o) - 6*s(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j - 10 = 0, -3*j + 5 = -c. Let z = -5 + c. What is the units digit of (2\/z)\/(2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, -124, -301, -560, -907, -1348, -1889, -2536?\n\"Answer: -g**3 - 32*g**2 + 2*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 132 and 925.\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 1. Let l(c) = c**3 - 4*c**2 + c + 4. Let n be l(4). Let a(j) = 4 + 71*j + 0 - 66*j - 1. Let w(s) = n*x(s) + 3*a(s). Determine w(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1378? (a) 1\/6 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or 20.361?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3008 times 1?\nAnswer: -3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microsecond in nanoseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.4. Let z = -2 - -1.9. Let m = 8 + -4. Which is the third smallest value? (a) o (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1898*t + 39. Let a(d) = -97*d - 2. Let x(m) = -39*a(m) - 2*b(m). Let p(h) = 4*h + 0*h - 5*h. What is p(x(u))?\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 12 = -2*t + 15, -t - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -137, -135, -131, -125, -117?\n\"Answer: d**2 - d - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 0. Suppose g*q = -3*q. Solve 0 = -5*v - 3*j - q*j + 37, 0 = -3*j + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 + 8 = 0. Does 18 divide h\/(-2 - -3) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2844409 is divided by 55?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 138396490 or 138396492?\nAnswer: 138396492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/((-2)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*z + 8, 5*z = -2*r - 0 - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1900*n. Let z(y) = -187983*y. Calculate z(g(s)).\nAnswer: 357167700*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1303103?\nAnswer: -1303104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**3 + 7*j**2 + 4*j - 1. Let x(h) = -6*h**3 - 6*h**2 - 3*h + 1. Let t(b) = 5*n(b) + 6*x(b). Determine t(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 291 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -407236 + -7?\nAnswer: -407245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/(v\/v**(-13)))\/v)\/v*v*v*v)\/(v\/(v*v**6*v)) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (8 - 2)\/3. Suppose 19 = q*y + 94. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Let o = 4 - i. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2065\/666044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 261 + -163. Let w = -38 + t. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 + 836*q\/5 - 1521.\nAnswer: (q - 9)*(q + 845)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1814 - 451. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 18 = 2*c - 2, 0 = j - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.54, 4, 0.3, -1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 13 = 17*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:19 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*t = -8, 5*v - 3*t = -0*v. Which is greater: -32.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -8*m + 51. Let d(n) be the third derivative of -4*n**m + 1\/40*n**4 + 0 + 1\/300*n**5 - 2\/15*n**3 + 0*n. Solve d(q) = 0 for q.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/24*(-3)\/(-2). Sort -0.3, j, 3.\nAnswer: -0.3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1561*l**3 + 4*l**2 - 17 wrt l.\nAnswer: 9366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134925309 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 2*w**5 - w**5 - 1736*w**4 - 121*w**5 + 1736*w**4 + (4*w - 3*w + w)*(w**4 - 2*w**3 + 2*w**3).\nAnswer: -121*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 4*y - 5. Let p be u(-5). Let j be 1\/3*p - 0. Suppose j = -m + 15 - 6. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (36 + 4953)\/((-9)\/(-2667)) + 6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/28 and (5\/(-15))\/(-7 + 1155\/145).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -43, -58, -69?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -371325299*a**4 + 11714*a**2 - 4211*a + 3 wrt a.\nAnswer: -8911807176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4407368 and 35258944.\nAnswer: 35258944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + b)*(-4566 + 2638 + 16568) - 2*b + 2 - 2 as v*b + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12238207019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1048 + -936. Solve -u = -4*w - 96 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/6583294 and -64\/3.\nAnswer: 19749882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**3 + n**2 - 5*n + 2. Give f(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23.9, -0.4942, 4 in decreasing order.\nAnswer: 23.9, 4, -0.4942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -5*o**2 + 0*o + 1\/28*o**4 - 2\/21*o**3 - 1\/210*o**5 + 0. Solve c(k) = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*i*l - 15119*i - 700*l**2 wrt l.\nAnswer: 4*i - 1400*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 43028*y + 1287240 = 0. What is y?\nAnswer: -10727, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*r. Let p be (r - -3)*(-3)\/(-3). Suppose 2*s = 4, 2*s + 2 = -0*h - 2*h. Put p, -4, h in decreasing order.\nAnswer: p, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - k**2 - 5*k**2 + k**2 + 40 + 4*k**2.\nAnswer: k**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 1283?\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v = 0. Let l(d) = v*d**2 - 3*d**2 + 6*d**2. Let j(i) = -2*i + 2*i + i**2. Calculate j(l(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140472 is divided by 46820?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 5*i = -24*x + 14, -4*x = 2*i + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**39\/(q*q**(1\/12)))\/(q*q*q**(10\/11)*q\/(q**(-2\/3)*q)))**17 assuming q is positive.\nAnswer: q**(25687\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (258\/215)\/(-1 + (-18)\/(-20)). Let a(o) = 5*o - 6. Let d be a(6). Let l = k + d. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74682437 to the nearest one million.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + h - 15 + 3, 0 = x - 5*h + 8. Suppose -u + 25 = 4*m, -x*u + 3*m = 2*u - 5. Suppose -3*t = -2*o + 5, 3*o + u*t - 16 = t. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/300*-5*17\/((-5508)\/(-40)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244315 bigger than 244427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.4 + 29.13. Let o = 1.8 + b. Let d = o - 0.03. What is the nearest to 0.2 in -2, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzbvbicqcvbvc. What is prob of picking 1 v, 2 c, and 1 b?\nAnswer: 27\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*m - 3322, -3*r - 5*m = -6*r + 1971. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*v + 11 - 9, v - 3*z = -4. Suppose h - 4*w - w = 880, 4*h = -v*w + 3564. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 - 212324143?\nAnswer: -212324323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.076*-0.92.\nAnswer: -0.06992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3354*d - 138. Let b be x(-12). What is the units digit of (-2)\/(-9) + b\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. Let u = 10 + -4. Let i = 8 - u. Which is the second biggest value? (a) p (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13088707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 20 in descending order.\nAnswer: 20, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3248 - 3250 + 2975*t + 6498 - 2835*t.\nAnswer: 140*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95131 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2981109945485349 and 4.\nAnswer: -2981109945485345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -369.92 and -2.6.\nAnswer: -372.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 5*p**4 + p**4 + (763*p**2 + 153899 - 153899)*(-7*p + 4*p**2 + 7*p) + (-2*p + p**3 + 2*p)*(2 + 2*p - 2) - 2*p**4 - 2*p**4 + 5*p**4.\nAnswer: 3053*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 810 = -3*d. Let c = d + 274. Solve -c*l + 0*m + 15 = m, 5*l - 15 = -2*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 437.7 - 222.4. Let k = -215 + b. Put -6, k, -5\/6 in descending order.\nAnswer: k, -5\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 + 99*g + 665. What is n(-6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -62. Suppose 7*z = s*z + 2. Suppose z*o + 20 = 130. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*1*18\/15. Let o be ((-12)\/18)\/((-2)\/r). Let j(h) = 4*h + 1. What is j(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69131 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613, 1289, 2029, 2833?\nAnswer: 3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -54 + ((0 - 0) + 3 - 18)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n + 63 = 41*n. Are 84\/11 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 851 - 487. Let j = a + -387. Calculate the common denominator of 77\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -313, -323, -339, -361, -389, -423?\n\"Answer: -3*a**2 - a - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 - 274130*o - 3757362845 = 0.\nAnswer: -27413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192 - -285. Suppose -4*a + 118 = -9*a - 4*z, -3*a + 5*z - x = 0. Which is smaller: -25 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4215624 and 392?\nAnswer: 29509368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - r + 917 = 6*i, 5*r = -3*i - 905. Let w be 3*i\/(-60) - 1\/4. Solve -5*k + 0*k = w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321250 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.55 and 38?\nAnswer: -20.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 + 3*v**4 - 4*v**4)*(2 - 2 + 1)*(-17 + 11*v + 17) - 5*v**2 + 5*v**2 + 2*v**5 + (-1 + 2 + 1)*(0*v**5 + 2*v**5 + 0*v**5) + 4*v**5 + 2*v**5 - v**5.\nAnswer: 33*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-252)*3*-8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 27 = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}